Book Description
Contains a wealth of topics to allow instructors flexibility in the choice of topics and depth of coverage: Examines
projective motion with and without realistic air resistance. Discusses planetary motion and the three-body problem. Explores
chaotic motion of the pendulum and waves on a string. Includes topics relating to fractal growth and stochastic systems.
Offers examples on statistical physics and quantum mechanics. Contains ample explanations of the necessary algorithms
students need to help them write original programs, and provides many example programs and calculations for reference.
Customer Reviews:
great book.......2001-03-06
This is a great book. I enjoy reading and using it quite a bit. The focus is realistic simulations, not just simulations. Also, this book has a wide scope: there are sections covering random systems, molecular dynamics, even earthqakes and self-organized criticality. I suspect a second edition might even expand on these topics to include, oh perhaps economic simulations? But as it is it's a superb book. The style is even engaging; just enough theory (but indeed the right amount of it) and some pointed results... Where else would you go to find three-body gravitational simulations and protein folding and the brain as a complex system, in the same book? Note: there are code examples and the programming language is True Basic for the Macintosh. If that's not your cup of tea, it should not be too hard to port that to, say, Matlab or something more universal. Perhaps again for the second edition...
good book for physicists who like to write simulations.......2001-03-04
This is a great book to get you started using you desktop for more than running your screen saver or surfin' the net. Some sections are dealing with elementary physics but most deal with intermediate to even advanced topics. What's also great about this book is that the author doesn't assume you necessarily remember all of your undergrad physics. You're gently reminded of the key concepts and the bottom line you need to remember and then it's off to the good stuff. I liked this book quite a bit; it's really a great book. Unpretentious and striking the right balance between the theory necessary to write realistic or meaningful simulations. Overall I'd say the word superb applies here. Next edition: expand on stochastic processes a bit more, then you get 5 stars...
Book Description
Presenting an introduction to the mathematics of modern physics for advanced undergraduate and graduate students, this textbook introduces the reader to modern mathematical thinking within a physics context. Topics covered include tensor algebra, differential geometry, topology, Lie groups and Lie algebras, distribution theory, fundamental analysis and Hilbert spaces. The book also includes exercises and proofed examples to test the students' understanding of the various concepts, as well as to extend the text's themes.
Customer Reviews:
A fast introduction to mathematics in physics.......2006-01-02
The book does not assume prior knowledge of the topics covered. However, the reader will find use of prior knowledge in algebra, in particular group theory, and topology. Compared to texts, such as Arfken Weber, Mathematical Methods for Physics, A Course in Modern Mathematical Physics is different, and emphasis is on proof and theory. The text is reasonably rigorous and build around stating theorems, giving the proofs and lemmas with occasional examples. The style is not the strictest, although making the text more reader friendly, it is easy to get confused with which assumptions have been made, and the direction of the proof. Sometimes only the "if" part is proven.
Students familiar with algebra will notice that the emphasis is on group theory, interestingly the concept of ideals is left mostly untouched. For more on representation theory a good reference is Groups Representations and Physics by H.F. Jones where solutions to some of the exercises can be found, and examples of the use of the fundamental orthogonality theorem applied to characters of represenations.
The first 6 chapters are relatively straight forward, but in chapter 7 Tensors the text becomes much more advanced and difficult. Chapter 10 on topology offers some lighter material but the reader should be careful, these consepts are to re-appear in the discussion of differential geometry, differentiable forms, integration on manifolds and curvature. These are not the most simple subjects and it is clear that they deserve entire courses of their own.
The book has insight and makes many good remarks. However, chapter 15 on Differential Geometry is perhaps too brief considering the importance of understanding this material, which is applied in the chapters thereinafter. The book is suitable for second to third year student in theoretical physics.
Jumping over the Gap.......2005-12-30
Most physicists avoid mathematical formalism, the book attacks this by exposing mathematical structures, the best approach I've ever experience. After reading the first chapter of this books I can assure is a must for everyone lacking mathematical formation undergraduate or graduate.
It surely jumps over this technical gap experienced by most physics opening the gate for advanced books an mathematical thinking with physic intuition.
Unfortunately is very expensive, i hope i could have it some day.
A serious, wide spectrum introduction to modern mathematical physics.......2005-10-10
This book covers almost every subject one needs to begin a serious graduate study in mathematical and/or theoretical physics. The language is clear, objective and the concepts are presented in a well organized and logical order. This book can be regarded as a solid preparation for further reading such as the works of Reed/Simon, Bratteli/Robinson or Nakahara.
Not a review, only a little more information.......2004-12-11
Since I don't yet have this book, I cannot review it; however, I have found the contents of this book on the publisher's web site in case it would help anyone decide to purchase it or not.
Contents
Preface
1. Sets and structures
2. Groups
3. Vector spaces
4. Linear operators and matrices
5. Inner product spaces
6. Algebras
7. Tensors
8. Exterior algebra
9. Special relativity
10. Topology
11. Measure theory and integration
12. Distributions
13. Hilbert space
14. Quantum theory
15. Differential geometry
16. Differentiable forms
17. Integration on manifolds
18. Connections and curvature
19. Lie groups and lie algebras
I will return at a later date to properly review it in case I need to change the rating I gave it.
Book Description
String theory is one of the most exciting and challenging areas of modern theoretical physics. This book guides the reader from the basics of string theory to recent developments. It introduces the basics of perturbative string theory, world-sheet supersymmetry, space-time supersymmetry, conformal field theory and the heterotic string, before describing modern developments, including D-branes, string dualities and M-theory. It then covers string geometry and flux compactifications, applications to cosmology and particle physics, black holes in string theory and M-theory, and the microscopic origin of black-hole entropy. It concludes with Matrix theory, the AdS/CFT duality and its generalizations. This book is ideal for graduate students and researchers in modern string theory, and will make an excellent textbook for a one-year course on string theory. It contains over 120 exercises with solutions, and over 200 homework problems with solutions available on a password protected website for lecturers at www.cambridge.org/9780521860697.
Customer Reviews:
A good general introduction.......2007-04-22
String theory has been criticized since it was first invented but not to the degree that it has now, this criticism mostly focusing on its failure to connect with observation. The criticism has increased dramatically in recent years however, and some of this has been too vituperative to be useful to those curious about string theory as a viable physical theory. But criticism, however harsh, can be healthy, since it motivates the proponents of a theory to more carefully elucidate its foundations and content. This is usually not the case when a theory is popular, as researchers are in a competitive spirit and are hesitant to share the knowledge to possible competitors. At this stage in the game however, string theorists it seems are now on the defensive, and have thus taken the time to discuss in-depth what this reviewer still believes is the most complex and beautiful theory ever constructed in mathematical physics. String theory still has a long way to go before it gains status as being a physical theory, but hopefully by the end of the next few decades one will see the appearance of charts, graphs, and numerical calculations in books on string theory, much like one finds in the most successful of all physical theories to date: relativistic quantum field theory.
Some highlights in the book that are particularly insightful include:
1. The observation that Dirichlet boundary conditions (for the open string) break Poincare invariance, but that this leads to the introduction of Dp-branes as positions of the endpoints of the open string. Poincare invariance is recovered as long as Dp-brane is space filling, i.e. has a dimension one less than the background spacetime.
2. The view that the BRST quantization of the path integral is really a conformal field theory. This is interesting in that BRST analysis is typically thought of as a procedure for quantizing constrained systems (gauge theories being predominant examples).
3. The `Myers effect'. Sometimes referred to as the `D-brane dielectric effect', it is part of an attempt to understand the physics of non-Abelian D-branes for strong fields. One of the challenges in this understanding involves the validity of the Dirac-Born-Infeld action in these kinds of circumstances, which as the authors remark is designed for situations where the background fields and world-volume gauge fields do not vary appreciably over the distances on the order of the string scale.
4. The origin of the (classical) Virasoro algebra as the freedom of choice of gauge in the reparametrization symmetry. And along these same lines, the quantization of the Virasoro algebra is defined to the normal ordering of the Virasoro generators, and their commutators give an expression consisting of the ordinary classical term plus a "quantum" correction, the famous central extension. Thus the quantum Virasoro algebra can be viewed as a "quantum deformation" of the classical Virasoro algebra, with the central parameter as being the deformation parameter. This philosophy of deformation has found generalization in what are now called `quantum groups' (even though strictly speaking they are much more complicated objects than ordinary groups).
5. The connection of the dilaton to the Euler characteristic.
6. The role of the GSO projection in insuring consistency in the state spectrum.
7. The use of (vector bundle) K-theory to classify D-brane charges. This use arises when it is realized that the conserved R-R charges cannot be identified with cohomology classes of gauge field configurations. Instead, the D-branes are classified by K-theory classes.
8. The discussion on `primitive cohomology' and its relation to de Rham cohomology and Hodge theory.
9. The role of the Born-Infeld structure in ensuring Lorentz invariance of the T-dual description. The Born-Infeld action was once viewed as a mere historical curiosity, namely as a nonlinear generalization of the Maxwell theory, with no experimental backing. That it finds such a natural place in string theory is very interesting (but still of course lacking in experimental support).
10. The derivation of a lower bound for Newton's constant from heterotic M-theory, which is close to the observed value.
11. The argument, beautifully elucidated in this book, that type IIA supergravity may be obtained from 11-dimensional supergravity by dimensional reduction.
12. The discussion on warped space-times and the gauge hierarchy. The authors cleverly motivate this subject by asking why Newtonian gravity follows an inverse-square law rather than an inverse-cube law.
13. An entire chapter is devoted to "stringy" geometry, which is a fascinating subject given that it touches so many areas of modern mathematics.
14. The discussion of the `hidden sector' and its conjectured relation to dark matter and supersymmetry breaking.
15. The author's treatment of the AdS/CFT conjecture is superb and is by far the most interesting part of the book. The dualities shown to exists between gauge theory and string theory are a possible route to a full understanding of nonperturbative quantum chromodynamics, which to this date has defied resolution.
Some major omissions or discussions that need more elaboration include:
1. The difficulties that are actually involved in quantizing the Nambu-Goto action. The authors remark that this is due to the presence of the square root, but it would have been interesting if they would have indicated just where the trouble rises explicitly when a quantization procedure is attempted with the Nambu-Goto action. In ordinary quantum field theory, the presence of the square root is interpreted as a "nonlocal" problem, but even there this issue is not usually dealt with in a manner that is very transparent.
2. A more detailed treatment of string field theory for those readers who want to compare it to what is done in second quantization in ordinary quantum field theory.
3. The role of the Beltrami differentials in the attaining of a measure for moduli space that is invariant under reparametrizations of the moduli space.
4. No in-depth discussion of characteristic classes over and above the algebra involved in their manipulation (i.e. the wedge products). An understanding of characteristic classes is crucial to understanding superstring and brane theory, but the pages of this book mislead the unsuspecting reader that there is nothing to characteristic classes except algebraic manipulation of the differential forms. But characteristic classes have a deep geometrical meaning, and obtaining insight into this meaning has been proven to be difficult for students of string theory. This book does not provide any of this insight, nor do any of the other books currently in print on string theory.
5. Is supersymmetry absolutely necessary for the incorporation of fermions into string theory? The authors seem to argue that it is, but an explicit proof is lacking.
6. The proof that `threshold bound states' are stable is omitted, disappointing the more mathematically sophisticated reader. As the authors remark, the proof involves a special type of index theory involving non-Fredholm operators, and where one must deal with a continuous spectrum. The usual index theory breaks down since one is only dealing with elliptic operators, and contributions to the index from bosons and fermions do not necessarily have to be integers.
7. The authors should have included more discussion on mirror symmetry, beautiful subject that it is.
8. Dp-branes are asserted to be useful in incorporating non-Abelian gauge symmetries in string theory, in that they appear "naturally" as confined to world volumes of multiply-coincident Dp-branes. But is this the best way to introduce these symmetries? Is there a method, other than this one and `compactification', that is just as "natural" and does not have the contrived element that the introduction of Dp-branes sometimes has?
9. The authors need to elaborate in more detail on the definition of "stable" and "unstable" D-brane.
10. The omitting of the proof that string theories are ultraviolet finite theories of quantum gravity. This is by far the most serious omission in the book. This reviewer does not know of a reference that proves this assertion, and many in the physics community have pointed to this omission as being a sign that the string theory research community has been misled by false assertions of proof.
Excellent Book.......2007-03-11
I think this is a great book that provides not only a great introduction to string theory (there is no assumed prior knowledge of string theory), but also provides coverage of many more advanced topics as well. I think it's likely that the vast majority of students specializing in string theory will want to read it at some point in their studies.
The coverage of topics in the first few chapters is in some ways fairly standard. The first two chapters consists of a high level overview of string theory, bosonic string, the Nambu-Goto action the Polyakov action, the Virasoro algebra, the critical dimension, light code gauge and the spectra of open/closed strings. After this there is a chapter on conformal field theory, naturally emphasizing the parts relevant to string theory (including a bit of string field theory). This is followed by discussions of worldsheet supersymmetry, spacetime supersymmetry, anomalies, T-duality and heterotic strings. The writing is very clear and considering the nature of the material, fairly straight forward. There are two things that I considered exceptional strengths. One is that the discussions incorporate D-branes, M-theory and the (unexpected) symmetries of string theory early on. The other is that there are numerous worked examples, as there are throughout the book.
At a very high level the rest of the book contains more extensive discussions of M-theory, compactification (including a substantial amount besides the standard approach of the compact dimensions being a Calabi-Yau space), mirror symmetry, S-duality, possible cosmological consequences of string theory, black holes and other solutions with horizons, matrix theory, AdS/CFT correspondence (a proposed equivalence between closed string solutions on the product of a sphere and anti-deSitter space and Yang-Mills theories) and the holographic principle (or as some would say conjecture).
The things I appreciated the most about this material was that is was a very interesting mix of topics. The discussion of black holes and cosmology was fairly extensive (for cosmology it was the most extensive I've seen in a text book). As was the coverage of the AdS/CFT correspondence. There were also some topics that I don't recall seeing in other string theory books, such as warped geometries in compactification and S-branes (these are like D-branes but they satisfy Dirichlet boundary conditions in timelike directions).
Needless to say it's a fairly advanced book. There is some coverage of things like complex spaces, topology, general relativity and cosmology. However this material is more along the lines of a review, not something intended to teach from first principles (some of the other string theory books cover this kind material in more detail).
All-in-all I believe this book not only provides a great introduction, it also provides an excellent treatment of some of the more advanced topics in string theory.
Best of All Worlds.......2007-03-09
This new textbook on string theory might be considered a modern pimped up version of Zwiebach's introductory course. The book is - as an introduction - better than the 2-volume set by Schwarz (Green, Schwarz, Witten), which is partly outdated, and on the same footing as Polchinski's version, but certainly not as thorough and elaborate. There is some overlap between all books (e.g. the CFT bits from Polchinski are quite similar to those in this new text, the introduction of the bosonic string via the relativistic point particle looks like the ones by Polchinski and Zwiebach, but Becker & Schwarz immediately generalise the concept to p-branes, SCFTs are discussed in a similar manner as in Polchinski, and so on), but there are additional features that really add to the value of the book: all exercises within the text have solutions directly under them, so one can either try to solve them or read them through, and some parts are explained more clearly. The concepts of "(gauge) symmetries" are discussed slightly better than by Polchsinki or GSW, but for those who want mathematical proofs instead of hand-waving arguments, and more background material on supersymmetry, I can only say that I have found no books on string theory that really do that. Both are subjects of study on their own and would go "beyond the scope" of these books... Nevertheless, a very good introduction and most of all: up to date!
For mid-undergraduates, I think, the perfect sequence for string theory would be (provided one acquires knowledge of QFT and Lie algebras for the more advanced texts):
Zwiebach>Becker/Schwarz>Polchinski (supplemented by GSW's first volume)
But if you want to learn string theory more quickly or if you don't have problems with the very basics, then leave out Zwiebach and go for this one immediately. For graduates, Polchinski should be the start, but one can take Backer/Schwarz always as a references and supplement on some topics (connection to black holes and gauge theories).
A Modern Fairytale.......2007-01-30
This is a fabulous excursion into a world inhabited by all sorts of mythical creatures: Calabi-Yau 3-folds, D-branes, orbifolds, ten and eleven-dimensional backgrounds, supersymmetric partners, covariant fermionic vertex operators and many others that only the wildest imaginations can conceive of. The wizards and magicians who have conjured these beasts have also cast a powerful spell on their easily-beguiled followers who see streets of gold and emerald trees as they walk through the morass of E8*E8 gauge fields, compactifications and dualities. This tome will be a welcome addition to your bookshelf right between Harry Potter and Alice in Wonderland. I gladly recommend each of you to take a brief stroll into this enchanted land to be followed by the volumes of Landau and Lifchitz, so that you will be able to find your way back to reality again. Some have called strings "a theory of anything". Indeed, it is a wonderful place where you can make all your wishes come true. But do not stay too long in the kingdom of string theory lest you end up like so many others who are lost, searching endlessly for the legendary realms of M-theory or wandering aimlessly in the infinite labyrinth of the Landscape, wasting the remaining years of their life on naught but a fable.
Most up-to-date string theory tome published this year........2007-01-24
This volume was authored by one of the most respected researchers in the field, as well as the Becker sisters. It is beautifully illustrated, and is well timed for upcomming experimental tests of superstring theory at the Large Hadron collider. I did not give if five starts because it only devoted four pages to the Landscape, which professor Susskind, the father of string theory, has declared the most significant advance in physics in the past century.
Book Description
Now in its third edition, Mathematical Concepts in the Physical Sciences provides a comprehensive introduction to the areas of mathematical physics. It combines all the essential math concepts into one compact, clearly written reference.
Customer Reviews:
required for class.......2007-09-25
Boas does an excellent job presenting the new mathematical material presented in this text. The general example problems are good in the fact that they show the workings and system of the new material while giving you an understanding as well. I read the section, work out the examples and then know how to do the problems. This book is required for my theoretical physics class and is worth every penny.
Great reference text.......2007-09-14
As an undergraduate physics major I'm required to take a course in math methods of physics, and Boas is the required text. Not only did I save money by purchasing online, but this book is FANTASTIC. The text itself support the arguments we cover in class, but the book knows no bounds. In my other physics and math courses I've already looked up topics and found a complete and easily understood explanations. I'm definitely not selling this one after the course is over.
Fantastic, Self-Teachable, The Best.......2007-07-27
The single best book available for a person to learn math for the sciences. I taught myself most everything in this book readily; it is incredibly well written to introduce the subject to anyone. It is also comprehensive, and very useful for any scientist. This is written as a graduate physicist, recommended to anyone who has taken Calculus II.
The only book that ties it is Glenn Fletcher's book.
An excellent book for those who need applied mathematics........2007-04-23
This is an excellent book for undergraduates in science and engineering. This book is not for mathematics majors. So anyone who complains about the proofs or lack of rigor is off target. You are not the intended audience.
I include the chapter titles below since they indicate the coveraqe of the book.
1. Infinite series, power series
2. Complex numbers
3. Linear algebra
4. Partial differentiation
5. Multiple integrals
6. Vector analysis
7. Fourier series and transforms
8. Ordinary differential equations
9. Calculus of variations
10. Tensor analysis
11. Special functions
12. Series solutions of differential equations, legendre, bessel, hermite, and laguerre functions
13. Partial differential equations
14. Functions of a complex variable
15. Probability and statistics
Enjoy!
great book.......2007-04-22
This book is great as a crash course in alot of math that appears in physics. The material is very well explained, doesnt use alot of baffeling notation, gets straight to the point, and is completely self contained. I have learned alot from this book and I reccomend it highly.
Average customer rating:
- Still the Best Overview on Quantum Computing
- Complete, but sloppy
- Complete and didactical
- Good book
- An essential text
|
Quantum Computation and Quantum Information
Michael A. Nielsen , and
Isaac L. Chuang
Manufacturer: Cambridge University Press
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Similar Items:
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Classical and Quantum Computation (Graduate Studies in Mathematics)
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Quest for the Quantum Computer
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The Physics of Quantum Information: Quantum Cryptography, Quantum Teleportation, Quantum Computation
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Problems And Solutions in Quantum Computing And Quantum Information
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An Introduction to Quantum Computing
ASIN: 0521635039 |
Book Description
In this first comprehensive introduction to the main ideas and techniques of quantum computation and information, Michael Nielsen and Isaac Chuang ask the question: What are the ultimate physical limits to computation and communication? They detail such remarkable effects as fast quantum algorithms, quantum teleportation, quantum cryptography and quantum error correction. A wealth of accompanying figures and exercises illustrate and develop the material in more depth. They describe what a quantum computer is, how it can be used to solve problems faster than familiar "classical" computers, and the real-world implementation of quantum computers. Their book concludes with an explanation of how quantum states can be used to perform remarkable feats of communication, and of how it is possible to protect quantum states against the effects of noise.
Customer Reviews:
Still the Best Overview on Quantum Computing.......2007-03-02
This is an excellent book about a topic which becomes more important
with each passing month. It is written at a graduate level, such that
you really need to have had a college-level quantum mechanics course,
or equivalent. Most of the book uses bracket notation.
Complete, but sloppy.......2007-02-08
This is absolutely the standard introductory text to quantum information and quantum computation. Nielsen and Chuang certainly covered all the basis, and tried to give a self contained book including many reviews of related topics in the appendices. The main complain about the book is that some times it is sloppy, making hard to grasp the concepts. In some parts of the book there are even grammatical errors. My advice, get it, read it, but be very careful.
Complete and didactical.......2007-01-03
It is a book for specialists. In order to fully appreciate the contents you should have a physics, maths or computation science diploma. It contains a good introduction on Quantum mechanics, but for people that have already assited an introductory course on the field. Concerning the main subject: quantum computation, this book is the most complete review of the field and also suitable for a course on QC.
Good book.......2006-03-25
The book is good and gives you a general view of quantum information and computation. However, the size of the book disencourages beginners to read it.
An essential text.......2005-06-17
Despite its age, I keep coming back to this text for the careful prose and knowledgeable authors; so much so that I am ordering the hardback edition, having worn out the binding of the paperback edition. It is both a book to learn from and one to refer to later. It will eventually be outdated, but I don't see this as having happened yet. Although a large book, it is not bulked out like some, containing a lot of useful and relevant material. Perhaps not the text for those setting out from a 'cold start', but then a great follow up to 'The Quest for Quantum Computing" by Julian Brown. Not overtly rigorous, which is to its credit, as the concepts remain clear as a result. Certainly an essential text, where the prose does not get in the way. A very readable book about a very exciting subject, that is sure to deliver to the determined reader.
Average customer rating:
- On first reading
- Great hard to find information
- Engaging, Infuriating, Always Challenging
- Excelent
- A nic book on the philosophy of Bayesian probability theory.
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Probability Theory: The Logic of Science
E. T. Jaynes
Manufacturer: Cambridge University Press
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Bayesian Data Analysis, Second Edition (Texts in Statistical Science)
ASIN: 0521592712 |
Book Description
Going beyond the conventional mathematics of probability theory, this study views the subject in a wider context. It discusses new results, along with applications of probability theory to a variety of problems. The book contains many exercises and is suitable for use as a textbook on graduate-level courses involving data analysis. Aimed at readers already familiar with applied mathematics at an advanced undergraduate level or higher, it is of interest to scientists concerned with inference from incomplete information.
Customer Reviews:
On first reading.......2007-09-09
This is a great book. Getting it all together is well worth the price. Jaynes is always a joy to read, polemical and opinionated as he is. One of the very few writers who can put drama into the dry subject of statistics. This is a book about the subject of statistics, rather than a statistics book, with a lot of critical thought and criticism of other statisticians, and statistical paradoxes. It's not, however, the book to choose if you just want another text to help you pass your stats course as its more about the why rather than the how of statistical thinking and logic.
Great hard to find information .......2007-07-16
Its hard to write a review for this book. There are definitely flaws, but the information in this book, is just not anywhere else. This is the first place I had ever seen a general form of the rule of succession, or a worthwhile logical attack on the Copenhagen interpretation. It is a very interesting and thought provoking book, but is also a good practical reference for advanced probability problems.
Engaging, Infuriating, Always Challenging.......2006-08-15
I've never seen another book like this. Jaynes definitely has an agenda, but he justifies his viewpoint through an amazingly deep tour of probability theory. Not every viewpoint he expresses is convincing (such as his view that quantum theory is inherently probabilistic only because physicists are lazy), but he always raises deep and interesting questions while teaching the ideas. If you can read a book and accept some but not all of its viewpoint, then this is the book on probability for you.
Excelent.......2006-02-28
It is a book between phylosophy and statistic. Clear concepts and easy to understand.
A nic book on the philosophy of Bayesian probability theory........2005-09-13
I read the draft of this book before its publication, which was freely available online at that time. It is worthy, at least, 4 stars.
[1] The author is an important person in the history of Bayesian probability, who firmly believed subjective Bayesian and argued for his belief with those frequentists in his whole life.
[2] It is a philosophy book rather than a textbook of probability. Therein, it is a more valuable work that will surely influence Bayesian theory.
[3] Bayesian inference in theoretical physics may enlighten mathematicians as to a wider and deeper understanding of Bayesianism.
Average customer rating:
- Great book for learning quantum field theory
- Perhaps the best book on QFT
- QFT ; This is the way to teach to it
- Excellent textbook
- Classroom Tested, Student Approved
|
Quantum Field Theory
Mark Srednicki
Manufacturer: Cambridge University Press
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String Theory and M-Theory: A Modern Introduction
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Supersymmetry and String Theory: Beyond the Standard Model
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Problem Book in Quantum Field Theory
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Quantum Field Theory
ASIN: 0521864496 |
Book Description
Quantum field theory is the basic mathematical framework that is used to describe elementary particles. This textbook provides a complete and essential introduction to the subject. Assuming only an undergraduate knowledge of quantum mechanics and special relativity, this book is ideal for graduate students beginning the study of elementary particles. The step-by-step presentation begins with basic concepts illustrated by simple examples, and proceeds through historically important results to thorough treatments of modern topics such as the renormalization group, spinor-helicity methods for quark and gluon scattering, magnetic monopoles, instantons, supersymmetry, and the unification of forces. The book is written in a modular format, with each chapter as self-contained as possible, and with the necessary prerequisite material clearly identified. It is based on a year-long course given by the author and contains extensive problems, with password protected solutions available to lecturers at www.cambridge.org/9780521864497.
Customer Reviews:
Great book for learning quantum field theory.......2007-09-10
This book is a great resource for learning quantum field theory. People that have already taken QFT courses may also enjoy reading it. The emphasis is on learning the concepts of QFT and the techniques for doing calculations. A very nice feature of this book is that these concepts are often developed using simple examples. While many of these do not describe realistic field theories, they improve the leaning process by isolating specific ideas to be learned and removing many complicating details. The problems at the end of the chapters are instructive and doable. This is a matter of taste, but I liked the fact that most of the chapters were fairly short.
The book starts by considering scalar fields. This material includes: relativistic quantum mechanics, why relativistic quantum mechanics is inconsistent as a single particle theory and how this leads to QFT, Feynman diagrams, cross sections/decay rates, renormalization and spontaneous symmetry breaking. I think covering these topics without the complications of spin makes it much easier to learn them. It also helps that many of the calculations are done in great detail.
Things get more complicated in the next two parts as spin is added. First spin one-half theories are covered and then spin one is covered. As in the first part, the quality of the presentation is excellent. All the topics one would expect are covered such as anomalies, chiral symmetry breaking, Wilson loops and BRST symmetry.
There is also a fair amount of more advanced material. This includes the strong CP problem and various aspects of the standard model. Some of the other more advanced topics are supersymmetry, grand unified field theories, lattice theory and matrix models. I would have liked these sections to been bigger.
In short, this is a great introduction geared towards teaching and it also has a fair amount of coverage of some advanced topics.
Perhaps the best book on QFT.......2007-08-04
This book clarifies a lot of mysteries on QFT for me. The concept is explained so clearly. It may not give you a lot of experimental results. But the methodology of QFT is explained much more clearly than other QFT books in the market. Basically, every one of the chapter in this book is written very well. The calculations involved in different topics are displayed line by line without jumping steps. Reading it is just like attending a tutorial. But you may need some experience on QFT before you can appreciate this book.
If you want to buy one book on QFT, buy this.
QFT ; This is the way to teach to it.......2007-04-13
Aimed towards graduate students, the text is presented with pedagogical brilliance. This is the way one teaches QFT to students who intend to actually use it in their research endeavors. I highly recommend this textbook to any student of high energy particle physics.
DF - Northeastern Univ. Boston MA.
Excellent textbook.......2007-02-17
Srednicki's book provides a brilliantly organized exposition of the fundamental concepts and calculational tools of quantum field theory. The book is self-contained, and divided into many short chapters which makes it convenient to read. The writing style is very pedagogical, essentially avoiding the "black magic" and mystery that seem to be a necessary ingredient in many other QFT textbooks. The material is presented in a logical way, and the author makes sure to address all the necessary details. I won't be surprised if this new book soon becomes the leading book on the subject.
Classroom Tested, Student Approved.......2007-02-07
I have been taught field theory from this text (actually, while it was in the process of being written), and then been a teaching assistant for the course in which it was used a second time.
In my experience, this is the best single text to use to learn field theory that one can buy today. It is completely modern in its presentation, and covers all of the fundamentals of field theory from scalars to spinors to gauge theory, and even has a significant amount of coverage of the standard model, specifically the Electro-weak theory. Additionally, the book is broken up into very short chapters of 4-10 pages each, and clearly cross referenced so you know what chapters are prerequisite knowledge.
There are a very large number of exercises which range in difficulty from very straightforward to very difficult. The problems manage to be educational and help deepen the understanding of what's presented in the text while still being a challenge.
This is an extremely well-rounded text. It is easily readable, and provides good intuition about the theory, but also goes far more in depth then the other "easier-to-read" field theory texts out there. It also generally sticks to the most commonly used notation and in situations where new notation is needed, the ones that are used are clear and well thought out. A solid graduate quantum mechanics background is necessary to get the most out of this test, but much of the more advanced math is covered as the book needs it (or reviewed in the exercises).
One down side to being so thorough on the theoretical framework is the lack of any reference to experiment or historical development of field theory. If your goal is to learn field theory only from the experimental side, there are better books out there. But for a solid grounding in the fundamentals of field theory there is no better place to start then this.
Book Description
Everyone knows the small-world phenomenon: soon after meeting a stranger, we are surprised to discover that we have a mutual friend, or we are connected through a short chain of acquaintances. In his book, Duncan Watts uses this intriguing phenomenon--colloquially called "six degrees of separation"--as a prelude to a more general exploration: under what conditions can a small world arise in any kind of network?
The networks of this story are everywhere: the brain is a network of neurons; organisations are people networks; the global economy is a network of national economies, which are networks of markets, which are in turn networks of interacting producers and consumers. Food webs, ecosystems, and the Internet can all be represented as networks, as can strategies for solving a problem, topics in a conversation, and even words in a language. Many of these networks, the author claims, will turn out to be small worlds.
How do such networks matter? Simply put, local actions can have global consequences, and the relationship between local and global dynamics depends critically on the network's structure. Watts illustrates the subtleties of this relationship using a variety of simple models---the spread of infectious disease through a structured population; the evolution of cooperation in game theory; the computational capacity of cellular automata; and the sychronisation of coupled phase-oscillators.
Watts's novel approach is relevant to many problems that deal with network connectivity and complex systems' behaviour in general: How do diseases (or rumours) spread through social networks? How does cooperation evolve in large groups? How do cascading failures propagate through large power grids, or financial systems? What is the most efficient architecture for an organisation, or for a communications network? This fascinating exploration will be fruitful in a remarkable variety of fields, including physics and mathematics, as well as sociology, economics, and biology.
Customer Reviews:
All the details you need to know to understand Watts' and Strogatz' famous article.......2007-03-12
The book basically gives all the details needed to understand Watts and Strogatz famous Nature article 'Collective Dynamics of Complex Networks' in 1998. I think that it is basically Watts PhD-thesis and as such it is of course nicely written, but nothing for the laymen who is rather referred to Watts other, more story-telling book 'Six Degrees', Barabasi's book 'Linked', or to another book that I would recommend most, namely the one by Mark Buchanan titled 'Small Worlds'. Mark is a skillful scientific writer and his book has a broader scope that makes it more interesting than each of the two monographs that are a bit more focused on the scientists own contribution.
Not enough contents to be a good book.......2005-07-08
Networks are since a couple of years object of intense research in several different disciplines. One reason therefore is certainly the outstanding article by Watts and Strogatz, Collective dynamics of small world networks, Nature, 393:440--442, 1998. Unfortunatelly, this book can not continue the high level of this article. Actually, it does not really provide much more information than the article itself. I would suggest to read the article cited above and either decide for another book or to look directly in the literature and read the origninal articles.
To summarize, this book is not terribly weak, but one can clearly sees that it swims on the current 'complex networks' wave without providing enough justification for its existence. Of course, if you do not have access to the original literature and just what to have a general overview of complex networks and what be done with them, you may consider buying this book.
Good, but some typos.......2005-06-02
Mathematical level: Moderate; there's no calculus, and little high level math, but the book is quite mathematical in tone, and some of the arguments may be difficult to follow without a good "math sense". There are MANY equations and graphs.
Good points: Watts covers an area that will interest those who deal with mathematical models of social networks e.g. models of disease-spread, especially HIV. It might, however, cover other things that can spread through networks as well. He presents analysis of graphs (or networks) that are neither random nor highly structured; and begins to examine ways that the degree of structure v. randomness can be measured.
Bad points: There are more than the usual number of typos. The models presented are a "first step", only.
Inspiring.......2001-07-24
The author believes that human thought might be a small world, in the sense that one could reach any idea if he/she finds the right associations and "short-cut"s. The small-world theory is indeed one of those short cuts itself. It links many different domains and uncovers some interesting common behavior.
The theory is developed in a scientific manner with extensive numerical support. Rich literature reviews and many open questions make this book a good research reference. Complex observations are generally followed by qualitative explanations. However, some of the simpler derivations are not fully clear. I believe that adding a few lines here and there can turn this book into a textbook.
The book spans many different areas of science and a deep understanding of the related results may require some background. However, each chapter ends with a brief summary, allowing the reader to move forward if he/she finds the chapter difficult. In summary, as the author puts it, the book is simply the "end of the beginning" in an exciting new field.
Great scientific synthesis.......2000-07-12
The book takes a systematic look at the 'small world' graphs. These natural graphs have been discovered by graph theoretist as erly as 60's, but were not properly understood. The graphs are remarkable in their ability to cluster and scale lengths. There are fundumental connections between these graphs and complex systems, discrete dynamical systems, computation and information processing. Duncan has done a tremendous job in building experimetal and theoretical models trying to understand how these graphs come about and sustain themselves. Read this book.
Average customer rating:
- excelent deal
- Why Is This Textbook So Widely Used?
- Consider it for what it is
- Not if you want to learn math, use only as reference
- Basic and Essential
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Mathematical Methods For Physicists
George B. Arfken , and
Hans J. Weber
Manufacturer: Academic Press
ProductGroup: Book
Binding: Hardcover
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Classical Mechanics (3rd Edition)
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Classical Electrodynamics Third Edition
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Modern Quantum Mechanics (2nd Edition)
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Quantum Mechanics (2 vol. set)
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Classical Dynamics of Particles and Systems
ASIN: 0120598760
Release Date: 2005-06-21 |
Book Description
This best-selling title provides in one handy volume the essential mathematical tools and techniques used to solve problems in physics. It is a vital addition to the bookshelf of any serious student of physics or research professional in the field. The authors have put considerable effort into revamping this new edition.
* Updates the leading graduate-level text in mathematical physics
* Provides comprehensive coverage of the mathematics necessary for advanced study in physics and engineering
* Focuses on problem-solving skills and offers a vast array of exercises
* Clearly illustrates and proves mathematical relations
New in the Sixth Edition:
* Updated content throughout, based on users' feedback
* More advanced sections, including differential forms and the elegant forms of Maxwell's equations
* A new chapter on probability and statistics
* More elementary sections have been deleted
Customer Reviews:
excelent deal.......2007-09-30
I appreciate the quick delivery of the book! I received it on the first day of the estimated time interval. I enjoy shopping at amazon.com!
Why Is This Textbook So Widely Used?.......2006-11-14
I am a graduate physics student with a strong mathematical background. This is the textbook used for our 2 semester course in mathematical methods for physics. The book is massive, both in content and physical weight. The cover is attractive and the printing seems to be fairly high quality. Now comes the difficult part of the review: finding other positive comments. First of all, I have only used a few chapters of the book thus far, so my comments pertain only to those. Some difficulties I have found... There are no answers to any exercises making the book fairly useless for self-study. The material is very uneven, as if each section was written by a different author (graduate student?). The explanations and examples are mediocre at best (contrast with the Mary Boas book). There are MANY typos - what ever happened to proof reading? The class INSTRUCTOR doesn't like the book, but is forced to use it by the department, and has regularly emailed the authors with corrections and recommendations. None of the students in the class like the book. You may be forced to use this book, but I would recommend other books as supplements (e.g., the book by Mary Boas and several in the Schaum Outline Series).
Consider it for what it is.......2006-10-11
This is a 1000 page supplement to other textbooks or courses, and works best when combined with an instructor that knows the material in depth. Personally, this book was a required text for an intro to theoretical physics class that I took a few years ago, and combined with the instructor's lectures that were partially supplemented by other authors (Boas), I learned quite a bit.
Now I am in graduate school and I am still coming back to this book as a solid reference for bessel (and other special) functions, complex variables, etc. This book has many problems, a lot of them have solutions, and most of the time you can determine for yourself if you have the correct answer. I would say a great strength of this book is the difficulty of the problems. Sure, it will take some time to work through them to a solid solution, but in doing the problems in Arfken and Weber I've found I had more depth in understanding after finding solutions. Other textbooks will have loads of problems all with very little differences. You have to actually think to solve the problems contained within this book, which will sharpen your mind for quickly solving problems that you otherwise might not attempt. At least that has been my experience.
Not if you want to learn math, use only as reference.......2006-09-27
I used this book as a textbook for a Math class. Okay, I'm not a mathematician so it was suppoused to be a side course. Since I'm not precisely fluent in most of these topics I expected to learn at least the basic stuff. But, as I tried to use the book as a basis for my studies, I found only concepts and demostrations, and no clear examples about anything! I think the authors must think that putting examples in a book like this may be considered offensive by some of their most lectured readers!
I recommend this book only if you are fluent in mathematics, if you already know about the topics and just want a reference book, or if you want to put your "genious" to the test trying to find out what's going on without any kind of aid.
Basic and Essential.......2006-08-05
This book is not so difficult and easy to understand, but it contains basic and essential mathematical knowledge and technique. If one learns eagerly this book, one can get important and useful knowledge to learn science or engineering. Let's become specialist of science or engineering.
Average customer rating:
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Uncertainty, Calibration and Probability: The Statistics of Scientific and Industrial Measurement (The Adam Hilger Series on Measurement Science and)
C.F Dietrich
Manufacturer: Taylor & Francis
ProductGroup: Book
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ASIN: 0750300604 |
Book Description
All measurements are subject to error because no quantity can be known exactly; hence, any measurement has a probability of lying within a certain range. The more precise the measurement, the smaller the range of uncertainty. Uncertainty, Calibration and Probability is a comprehensive treatment of the statistics and methods of estimating these calibration uncertainties. The book features the general theory of uncertainty involving the combination (convolution) of non-Gaussian, student t, and Gaussian distributions; the use of rectangular distributions to represent systematic uncertainties; and measurable and nonmeasurable uncertainties that require estimation. The author also discusses sources of measurement errors and curve fitting with numerous examples of uncertainty case studies. Many useful tables and computational formulae are included as well. All formulations are discussed and demonstrated with the minimum of mathematical knowledge assumed. This second edition offers additional examples in each chapter, and detailed additions and alterations made to the text. New chapters consist of the general theory of uncertainty and applications to industry and a new section discusses the use of orthogonal polynomials in curve fitting. Focusing on practical problems of measurement, Uncertainty, Calibration and Probability is an invaluable reference tool for R&D laboratories in the engineering/manufacturing industries and for undergraduate and graduate students in physics, engineering, and metrology.
Books:
- Conceptual Physics
- Conformal Field Theory (Graduate Texts in Contemporary Physics)
- Contemporary College Physics, Third Edition, 2001 Update w/ updated CD-ROM
- CRC Handbook of Chemistry and Physics, 87th Edition (Crc Handbook of Chemistry and Physics)
- Diagnosis and Treatment of Movement Impairment Syndromes
- Differential Equations, Dynamical Systems, and an Introduction to Chaos (Pure and Applied Mathematics (Academic Press), 60.)
- Einstein: His Life and Universe
- Einstein: His Life and Universe
- Elementary Solid State Physics: Principles and Applications
- Extended , Fundamentals of Physics, 6th Edition
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