Advanced Engineering Mathematics
Average customer rating: 3.5 out of 5 stars
  • How could you possibly think this is helpful?
  • Non Fiction
  • Not worth the money
  • Owner of Advanced Eng Mathmatics, 9th edition
  • review on my book
Advanced Engineering Mathematics
Erwin Kreyszig
Manufacturer: Wiley
ProductGroup: Book
Binding: Hardcover

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ASIN: 0471154962

Book Description

A revision of the market leader, Kreyszig is known for its comprehensive coverage, careful and correct mathematics, outstanding exercises, helpful worked examples, and self-contained subject-matter parts for maximum teaching flexibility. The new edition provides invitations - not requirements - to use technology, as well as new conceptual problems, and new projects that focus on writing and working in teams.

Customer Reviews:

1 out of 5 stars How could you possibly think this is helpful?.......2007-09-14

I took one look at this supposed solutions manual and knew it would be worthless. The book for accompanying this is pretty bad too, so why should I expect to get a decent solutions manual. This is a broad broad overview of each section and has maybe three actual solutions worked out if you're lucky. I get so sick of these authors doing the least amount of work for people that are really trying to learn this stuff. Unfortunately I will have to find help elsewhere. Also, if you want to review the book review it on the book page not on the solutions manual page.

3 out of 5 stars Non Fiction.......2007-09-03

One of those bloodsucking drain the students dry of cash evil bastich series of textbooks. Some useful information, but probably up to version 27 of its cash gathering exercise by now. Exactly what textbooks should not be, a prime example of a RIP OFF, if there ever was one.

1 out of 5 stars Not worth the money.......2007-07-16

This book was a major disappointment. Having taken 15 yrs off between getting my BS and starting grad school, I was looking for detailed examples of how to solve problems to refresh my memory. The solutions in this book skipped several steps and proved to be only marginally helpful, if even that. If you don't clearly understand the real text book, you won't get much help from this "solutions" manual. As in the text, there are not enough examples in this manual either. There is not even an example representing each subset of problems in the back of each chapter. Don't waste your money.

5 out of 5 stars Owner of Advanced Eng Mathmatics, 9th edition.......2007-06-01

The student manual has been very helpful in getting me started back into the engineering mathmatics. It is nice to have a helper when I get stumped on some of the problems I know should be easy.

5 out of 5 stars review on my book.......2007-05-07

I am satisfied with the quality of the book and the time it took for the book to reach me.
The Geometry of Physics: An Introduction, Second Edition
Average customer rating: 4 out of 5 stars
  • Fantastic - for the scientist
  • a book worth keeping
  • Phenomenal
  • You should buy this, despite its flaws
  • The perfect first book in differential geometry
The Geometry of Physics: An Introduction, Second Edition
Theodore Frankel
Manufacturer: Cambridge University Press
ProductGroup: Book
Binding: Hardcover

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ASIN: 0521833302

Book Description

Theodore Frankel explains those parts of exterior differential forms, differential geometry, algebraic and differential topology, Lie groups, vector bundles and Chern forms essential to a better understanding of classical and modern physics and engineering. Key highlights of his new edition are the inclusion of three new appendices that cover symmetries, quarks, and meson masses; representations and hyperelastic bodies; and orbits and Morse-Bott Theory in compact Lie groups. Geometric intuition is developed through a rather extensive introduction to the study of surfaces in ordinary space. First Edition Hb (1997): 0-521-38334-X First Edition Pb (1999): 0-521-38753-1

Customer Reviews:

5 out of 5 stars Fantastic - for the scientist.......2007-07-18

A very good book: buy it. But only if you are a scientist or student of physics/mathematics. This is not popular-science-common-public level.

5 out of 5 stars a book worth keeping.......2007-05-01

This book can be quite confusing if you start without any background on the idea of manifold or knows nothing about general relativity. However, it does have strong points:

1. The notation is very up-to-date, and is entirely coordinate-independant approach.

2. The author explains in great details of formulation of modern differential geometry, and the details are comparatively lacking in other reference books.

3. The author never hesitate to use graphs and diagrams to illustrate points, and stroke nice balance in between mathematics rigor and physical insight.

Although it appears quite verbose at some point, it is mainly because differential geometry is such a heavy subject. Another book nice to have as companion reading is Goldburg's "Tensor analysis on Manifold", a terse, well-written text book.

5 out of 5 stars Phenomenal .......2006-11-13

I just finished reading this book and I found it phenomenal. The physical ideas are made very clear in a natural mathematical framework.

5 out of 5 stars You should buy this, despite its flaws.......2006-03-03

The other reviews on this page give this book anywhere from 1 to 5 stars, and they are all correct in their own way. The book is inspired, deep and full of physics applications and insights. On the other hand, it skims over mathematical rigor to a large degree and focuses more on defining things, getting a feel for them and moving on to application.

My advice: buy the book for its strengths, and read other books in parallel if you need more rigor. But still, buy it.

Also, things can be confusing on the first two or three reads, but keep at it and you will be glad you did.

5 out of 5 stars The perfect first book in differential geometry.......2005-01-28

Differential geometry can be a very intimidating subject due to its heavy formalism. There are complete books (such as Kobayashi& Nomizu) very good as reference books, and there very few books that show the reader the picture behind the formulas.


This is one such book. It tells you the intuition behind each construction and from this point of view it has many things in common with Arnold's famous book on Math. Methods in Classical Mechanics. But where as Arnold does not pay too much attention to formalism, this book achieves this task as well. It shows the reader how to do those impossible computations as well.

This is definitely the first place to look at if you want to really learn differential geometry. If it seems difficult it is only because the subject is so.
Foundations of Image Science
Average customer rating: 5 out of 5 stars
  • Tremendous Work and Very Clear
  • Correction to the quotation from JEI
  • Extremely thorough and rigorous resource
  • Very good and the most complete of the field!
Foundations of Image Science
Harrison H. Barrett , and Kyle Myers
Manufacturer: Wiley-Interscience
ProductGroup: Book
Binding: Hardcover

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  1. Introduction to Fourier Optics Introduction to Fourier Optics
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ASIN: 0471153001

Book Description

Winner of the 2006 Joseph W. Goodman Book Writing Award!

A comprehensive treatment of the principles, mathematics, and statistics of image science

In today’s visually oriented society, images play an important role in conveying messages. From seismic imaging to satellite images to medical images, our modern society would be lost without images to enhance our understanding of our health, our culture, and our world.

Foundations of Image Science presents a comprehensive treatment of the principles, mathematics, and statistics needed to understand and evaluate imaging systems. The book is the first to provide a thorough treatment of the continuous-to-discrete, or CD, model of digital imaging. Foundations of Image Science emphasizes the need for meaningful, objective assessment of image quality and presents the necessary tools for this purpose. Approaching the subject within a well-defined theoretical and physical context, this landmark text presents the mathematical underpinnings of image science at a level that is accessible to graduate students and practitioners working with imaging systems, as well as well-motivated undergraduate students.

Destined to become a standard text in the field, Foundations of Image Science covers:

Customer Reviews:

5 out of 5 stars Tremendous Work and Very Clear.......2006-11-29

This is one of the few books that I will always treasure. Why? Because it is very clear. It has very very good discussions on everything it treats, and it treats a ton of material. In my engineering career, I have read or tried to read many many textbooks and this stands up as one of the absolute best. Barrett and Meyers give exquisite expositions on all of the mathematics necessary to study image science and many other related fields. For example, its treatment on probability, random processes, decision and estimation theory is actually better, more clear and more complete than many standard textbooks on the subject. If I get stuck reading any of them, I refer to this book and am saved.
I only wish they would issue it in two or three volumes. It is so ponderous (yet beautifully put together) if you carry it around you will get big muscles and get a good cardio workout!
I own it and leave it at home and I had the library at work get me a copy which I leave at work. If I want exercise I will go to my health club!
IT IS WORTH EVERY PENNY OF THE 146 BUCKS IT COSTS.
If you want a great textbook to learn this technology from dont hesitate to buy it. You may need two - one for home and one for work, if your company wont buy you one.
Really impressed.

5 out of 5 stars Correction to the quotation from JEI.......2006-08-20

I was the reviewer for this book in the Journal of Electronic Imaging.

The quotation from my review in JEI as it appears on this site should read:

"...a worthwhile addition to the armamentarium of any serious researcher in image science and will be an oft-quoted reference for many years to come." (Journal of Electronic Imaging, April-June 2005)

The corrections pertains to the word, oft-quoted, which has, for some reason, appeared as "opt-quoted" on this site in addition to the reference, "Journal of Electronic Imaging" instead of "Journal of Electrical Imaging"

This book, of course, is outstanding as I have stated in my review in the JEI.

5 out of 5 stars Extremely thorough and rigorous resource.......2006-02-10

This book always amazes me whenever I use it for the absolutely incredible amount of material that it covers in such depth. I had the tremendous good fortune to have taken a Physical Optics course with Prof. Barrett, and it would be impossible to believe that one person can know so much unless you have personally talked with him about science or had a class with him. The rumor in the department is that Dr. Barrett is the only professor to at one time or other have taught ALL of the department's core graduate courses during his career at the College of Optical Sciences. Furthermore, he is one of the rare scientists who is an authority in his field both theoretically and experimentally, so you do not get a one-sided perspective as can often happen with science texts. The book reflects his vast knowledge, expertise, rigor, and thoroughness.

Of course, the book has several chapters on mathematical formalism, including the linear algebra, dirac delta function, Fourier theory, and group theory. The imaging theory is there, as well as diffraction theory. He covers photon statistics and detection, including the necessary quantum mechanics. He covers several advanced imaging concepts that I haven't any idea about myself. You probably could not find a more comprehensive book in the field of imaging and physical optics. Another benefit is that, at least for the chapters I have used, the individual chapters seem to stand well on their own and you are not forced to study the book in order.

This book is not for the faint of heart in any respect. The material itself is not for the faint of heart: it is extremely rigorous and will require your careful attention, but I believe it is well explained and manageable for someone who is serious about learning it. The size of the book is not for the faint of heart. I would hate to have to carry this thing around much (>1500 pages!!). The price is nothing to sneeze at either, at least for an impoverished graduate student like me, but Dr. Barrett told us that if you calculate the cost per equation, it may be one of the cheapest books on the market. Well, you get what you pay for. As far as anyone in the class found out, there are no typos, either. (Really. We were looking for them). This is certainly a relief for anyone who has much experience shelling out hundreds of dollars for expensive science textbooks.

I do not consider this book to be introductory material, but it is quite likely as close to exhaustive as anything you are apt to encounter in the physical sciences. If you are very serious about imaging or physical optics, this book will be an invaluable resource.

5 out of 5 stars Very good and the most complete of the field!.......2004-02-18

The authors have done a great work. The book is complete and detailed. It is helping me a lot in the beginning of my Ph.D. It's really a must have in the field!
Mathematical Methods For Physicists
Average customer rating: 3 out of 5 stars
  • 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
Mathematical Methods For Physicists
George B. Arfken , and Hans J. Weber
Manufacturer: Academic Press
ProductGroup: Book
Binding: Hardcover

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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:

5 out of 5 stars 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!

2 out of 5 stars 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).

5 out of 5 stars 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.

1 out of 5 stars 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.

5 out of 5 stars 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.
Introduction to Computational Science: Modeling and Simulation for the Sciences
Average customer rating: Not rated
    Introduction to Computational Science: Modeling and Simulation for the Sciences
    Angela B. Shiflet
    Manufacturer: Princeton University Press
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    ASIN: 0691125651

    Book Description

    Computational science is a quickly emerging field at the intersection of the sciences, computer science, and mathematics because much scientific investigation now involves computing as well as theory and experiment. However, limited educational materials exist in this field. Introduction to Computational Science fills this void with a flexible, readable textbook that assumes only a background in high school algebra and enables instructors to follow tailored pathways through the material. It is the first textbook designed specifically for an introductory course in the computational science and engineering curriculum.

    The text embraces two major approaches to computational science problems: System dynamics models with their global views of major systems that change with time; and cellular automaton simulations with their local views of how individuals affect individuals. While the text is generic, an extensive author-generated Web-site contains tutorials and files in a variety of software packages to accompany the text.

    Division Algebras:: Octonions Quaternions Complex Numbers and the Algebraic Design of Physics (Mathematics and Its Applications)
    Average customer rating: 5 out of 5 stars
    • I am waiting for Dixon 's Octonians...
    • Mathematics behind physics
    Division Algebras:: Octonions Quaternions Complex Numbers and the Algebraic Design of Physics (Mathematics and Its Applications)
    G.M. Dixon
    Manufacturer: Springer
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    Accessories:
    1. Introduction to Coding and Information Theory (Undergraduate Texts in Mathematics) Introduction to Coding and Information Theory (Undergraduate Texts in Mathematics)
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    ASIN: 0792328906

    Book Description

    The four real division algebras (reals, complexes, quaternions and octonions) are the most obvious signposts to a rich and intricate realm of select and beautiful mathematical structures. Using the new tool of adjoint division algebras, with respect to which the division algebras themselves appear in the role of spinor spaces, some of these structures are developed, including parallelizable spheres, exceptional Lie groups, and triality. In the case of triality the use of adjoint octonions greatly simplifies its investigation. Motivating this work, however, is a strong conviction that the design of our physical reality arises from this select mathematical realm. A compelling case for that conviction is presented, a derivation of the standard model of leptons and quarks.
    The book will be of particular interest to particle and high energy theorists, and to applied mathematicians.

    Customer Reviews:

    5 out of 5 stars I am waiting for Dixon 's Octonians..........2007-02-10

    I have not yet received my command. P. MERAT

    5 out of 5 stars Mathematics behind physics.......1997-09-29

    This is an excellent book for those who want to study Hamilton's quaternions, and other algebraic structures, used in modern physics. Dixon believes that octonions and triality of Spin(8) are essential in understanding particle physics. This clear exposition contains many ideas which have gone unnoticed from other researchers. The book is a treasure trove for mathematical physicists. The author also compares the Cayley algebra of octonions to other algebraic systems used in physics: matrices and Clifford algebras, in particular the Dirac algebra.
    Moonshine beyond the Monster: The Bridge Connecting Algebra, Modular Forms and Physics (Cambridge Monographs on Mathematical Physics)
    Average customer rating: Not rated
      Moonshine beyond the Monster: The Bridge Connecting Algebra, Modular Forms and Physics (Cambridge Monographs on Mathematical Physics)
      Terry Gannon
      Manufacturer: Cambridge University Press
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      5. Representation Theory of Semisimple Groups: An Overview Based on Examples. (PMS-36). Representation Theory of Semisimple Groups: An Overview Based on Examples. (PMS-36).

      ASIN: 0521835313

      Book Description

      Moonshine forms a way of explaining the mysterious connection between the monster finite group and modular functions from classical number theory. The theory has evolved to describe the relationship between finite groups, modular forms and vertex operator algebras. Moonshine Beyond the Monster, the first book of its kind, describes the general theory of Moonshine and its underlying concepts, emphasising the interconnections between modern mathematics and mathematical physics. Written in a clear and pedagogical style, this book is ideal for graduate students and researchers working in areas such as conformal field theory, string theory, algebra, number theory, geometry, and functional analysis. Containing over a hundred exercises, it is also a suitable textbook for graduate courses on Moonshine and as supplementary reading for courses on conformal field theory and string theory.
      Mathematical Methods for Physics and Engineering: A Comprehensive Guide
      Average customer rating: 3 out of 5 stars
      • Just one comment, this is a great book.
      • There are much better options.
      Mathematical Methods for Physics and Engineering: A Comprehensive Guide
      K. F. Riley , M. P. Hobson , and S. J. Bence
      Manufacturer: Cambridge University Press
      ProductGroup: Book
      Binding: Paperback

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      1. Student Solution Manual for Mathematical Methods for Physics and Engineering Third Edition Student Solution Manual for Mathematical Methods for Physics and Engineering Third Edition
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      4. Div, Grad, Curl, and All That: An Informal Text on Vector Calculus, Fourth Edition Div, Grad, Curl, and All That: An Informal Text on Vector Calculus, Fourth Edition
      5. Partial Differential Equations for Scientists and Engineers (Dover Books on Advanced Mathematics) Partial Differential Equations for Scientists and Engineers (Dover Books on Advanced Mathematics)

      ASIN: 0521679710

      Book Description

      The third edition of this highly acclaimed undergraduate textbook is suitable for teaching all the mathematics for an undergraduate course in any of the physical sciences. As well as lucid descriptions of all the topics and many worked examples, it contains over 800 exercises. New stand-alone chapters give a systematic account of the 'special functions' of physical science, cover an extended range of practical applications of complex variables, and give an introduction to quantum operators. Further tabulations, of relevance in statistics and numerical integration, have been added. In this edition, half of the exercises are provided with hints and answers and, in a separate manual available to both students and their teachers, complete worked solutions. The remaining exercises have no hints, answers or worked solutions and can be used for unaided homework; full solutions are available to instructors on a password-protected web site, www.cambridge.org/9780521679718.

      Customer Reviews:

      5 out of 5 stars Just one comment, this is a great book........2007-05-30

      This is one of the best mathematical methods book, very readable.
      It has very clear explainations, in each topic it's developing from basic intuitions until it reaches the genralized equations, several detailed examples help a reader checks his understanding and follows the authors.

      The contents are very well-organized and self-contained, one can looks directly at the topic he wants to know. It's lucid and normally answer and teach a reader what he wants to do. All definitions make sense and a reader can accepts easily it's a smart thing to do math that way.

      It also serves as a one-stop, if you feel confused when you're reading because your background knowledge is not strong enough, just search for the previous related topics, all brilliant explainations are waiting for you to grasp them, make you ready for what you need.

      Any undergrads and beginning grad students in Physics will find this book is great. This is an excellent example how to write an approachable math methods book. Eventhough it has a thick over than 1,300 pages, but it never turns a reader away becuase of its thickness at all. Once one starts reading it, he'll enjoy and come back looking for another explaination.

      One more great point is, this book contains a lot of real physical examples besides the math formulations, make a reader understands the topic deeply and sees a practical use.

      Besides the book, I totally don't agree with a previous comment from a chemical physicist who gave this book just one star.

      1 out of 5 stars There are much better options........2007-04-24

      This book is only good for someone who is very experienced in these areas of mathematics it discusses. It is not whatsoever for a student who wants to learn these things for the first time. It should be avoided at all costs to someone who does not already know how to do these mathematical operations. If you want to learn techniques of math for science, read Mary Boas's book (excellent) or Glen Fletcher.

      If you are looking for an in depth analysis of these subjects after a course in mathematical methods and comfort in mathematics of physics undergraduate, then this book is comprehensive and good reference book. I still, however, find the book very lacking and regret buying it overall.
      Geometrical Methods of Mathematical Physics
      Average customer rating: 4 out of 5 stars
      • Terrific geometry book for physicists
      • Integrability conditions discussed
      • Not as good as "a first course in general relativity"
      • A Very Accessible Book ! Buy It !
      • A Great Introduction to Diff. Geometry
      Geometrical Methods of Mathematical Physics
      Bernard F. Schutz
      Manufacturer: Cambridge University Press
      ProductGroup: Book
      Binding: Paperback

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      3. A First Course in General Relativity A First Course in General Relativity
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      5. Tensors, Differential Forms, and Variational Principles Tensors, Differential Forms, and Variational Principles

      ASIN: 0521298873

      Book Description

      In recent years the methods of modern differential geometry have become of considerable importance in theoretical physics and have found application in relativity and cosmology, high-energy physics and field theory, thermodynamics, fluid dynamics and mechanics. This textbook provides an introduction to these methods - in particular Lie derivatives, Lie groups and differential forms - and covers their extensive applications to theoretical physics. The reader is assumed to have some familiarity with advanced calculus, linear algebra and a little elementary operator theory. The advanced physics undergraduate should therefore find the presentation quite accessible. This account will prove valuable for those with backgrounds in physics and applied mathematics who desire an introduction to the subject. Having studied the book, the reader will be able to comprehend research papers that use this mathematics and follow more advanced pure-mathematical expositions.

      Customer Reviews:

      5 out of 5 stars Terrific geometry book for physicists.......2006-05-07

      Advanced mathematics, such as differential geometry and topology, plays an important role in many areas of physics. This excellent book covers one of these topics, differential geometry. This is a topic essential for understanding general relativity and gauge theory. There are several good books aimed at physicists that cover differential geometry. While some of these have a broader scope than this book, nevertheless this book is my favorite one for differential geometry.

      The topics covered include those necessary for reading advanced treatments of general relativity (such as Wald or Misner/Thorne/Wheeler). These include manifolds, fiber bundles, tangent/cotangent bundles, forms, Lie derivatives, Killing vectors and Lie groups.

      Following this basic material a chapter covering some applications to physics, one example is electromagnetism. Up to this point the consideration of manifolds had been fairly general. In the final chapter the implications of adding a connection, and then a metric, are considered.

      Why do I think this book is so good? It's not the breadth of material covered, this book is very focused on a limited range of material. It's the quality of the presentation for what it does cover. The development follows a logical order, the writing is exceptionally clear and the diagrams are very useful since Schutz explains them so well.

      3 out of 5 stars Integrability conditions discussed.......2004-01-21

      Written in a attractive and even seductive way, relying more on Lie algebraic language than is typical, this book is probably as stimulating an intro. to modern geometry as you can find, within certain limits. The section on noncoordinate bases might have been more clearly written, however. Frobenius's theorm is discussed, something that Fomenko et al should have covered, and the section on connections can be worked throuigh independently of the heavy machinery of exterior differential forms, which is attractive for physics students.

      3 out of 5 stars Not as good as "a first course in general relativity".......2001-10-23

      I had read first the "first course in general relativity"and was exited,so i fygured out that this book from the same author would reach the same standards,but it didnt.If Ihadnt read the first book from Schutz this book would be incomprenheceble.The greatest problem i think is the lack of exercices.Without them you cant really go anywhere.Another problem ,i believe,is the short space given to analyzeeach topic.Eventhough i understand tensor calculus very well I just cant get anywhere with the differential forms.
      Eventhough its not the worst book out there its not the best either.My advise,buy a better book.

      4 out of 5 stars A Very Accessible Book ! Buy It !.......2000-11-06

      This is a very enjoyable and clearly written book. From a physics point of view the approach is rather abstract, so although differential geometry is developed from 'scratch', it is probably better to have studied a more elementary text on the theory of 2-surfaces in 3-space first (eg Faber's book Differential Geometry and Relativity Theory ). The first chapter sets the mathematical background expected of the reader. The rudiments of analysis, topology, calculus of many variables and basic linear algebra is reviewed.The ensuing chapters cover differential geometry from a 'modern' viewpoint but the style is quite relaxed and the links to 'co-ordinate approach' are well explained. The exercises concentrate on the abstract approach. Throughout the book the underlying structure of manifolds is concentrated upon. No extra 'structure' eg connections and 'distance' concepts are added until the final chapter on Riemannian spaces. For example the metric tensor throughout the body of the book is merely used as a map between a tangent space and its dual space. It is only used as a 'distance' operator in the final chapter.For the purposes of independent study this is a sound book, there are hints and partial solutions for many of the exercises, which is always a welcome feature for those studying entirely on their own.

      5 out of 5 stars A Great Introduction to Diff. Geometry.......2000-08-08

      This book presents the basic concepts of differential geometry in a clear, concise manner using modern notation. Schutz's writing style is very readable and there is a considerable breadth of coverage. In areas where one might wish for greater depth, Schutz provides excellent references. My only regret is that the physical applications chapters weren't longer. An excellent starter book and a good quick reference if you continue in differential geometry, GR or field theory.
      The Illustrated Wavelet Transform Handbook
      Average customer rating: 5 out of 5 stars
      • An excellent and informative book
      The Illustrated Wavelet Transform Handbook
      Paul S Addison
      Manufacturer: Taylor & Francis
      ProductGroup: Book
      Binding: Hardcover

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      1. A Primer on Wavelets and Their Scientific Applications (Studies in Advanced Mathematics) A Primer on Wavelets and Their Scientific Applications (Studies in Advanced Mathematics)
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      ASIN: 0750306920

      Book Description

      The Illustrated Wavelet Transform Handbook: Introductory Theory and Applications in Science, Engineering, Medicine and Finance provides an overview of the theory and practical applications of wavelet transform methods. The author uses several hundred illustrations, some in color, to convey mathematical concepts and the results of applications. The first chapter presents a brief overview of the wavelet transform, including a short history. The remainder of the book is split into two parts: the first part discusses the mathematics of both discrete and continuous wavelet transforms while the second part deals with applications in a variety of subject areas, such as geophysics, medicine, fluid turbulence, engineering testing, speech and sound analysis, image analysis, and data compression. These application chapters make the reader aware of the similarities that exist in the use of wavelet transform analysis across disciplines. A comprehensive list of more than 700 references provides a valuable resource for further study. The book is designed specifically for the applied reader in science, engineering, medicine, finance, or any other of the growing number of application areas. Newcomers to the subject will find an accessible and clear account of the theory of continuous and discrete wavelet transforms, providing a large number of examples of their use across a wide range of disciplines. Readers already acquainted with wavelets can use the book to broaden their perspective.

      Customer Reviews:

      5 out of 5 stars An excellent and informative book.......2003-09-26

      This book provides a comprehensive overview of wavelet transform methodologies and applications. The emphasis is on practical applications which are illustrated with many detailed figures and examples from Science and Engineering. A particular interesting chapter on medical applications is provided. In the introductory chapters, Addison gives a clear account of the theory for both continuous and discrete wavelet transform and associated post-processing techniques. Unlike many of the other books in this area, Addison communicates the concepts with a level of detail, sufficient for the applied engineer and scientist, but without becoming bogged down in a fog of mathematical gymnastics (a feature of many of the books in this area). A welcome addition to the growing number of books on this important signal analysis technique.

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      5. An Introduction to Quantum Field Theory (Frontiers in Physics)
      6. An Introduction to Quantum Field Theory (Frontiers in Physics)
      7. Applied Fluid Mechanics (5th Edition)
      8. Atom-Photon Interactions: Basic Processes and Applications (Wiley Science Paperback Series)
      9. Building Electro-Optical Systems: Making It All Work
      10. Cellular Solids: Structure and Properties

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