Average customer rating:
- very nice conceptual overview
- Not for the practitioner
- Trash
- Excellent Introduction, Sparse on Details
- A Good Introductory Survey
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Scientific Computing
Michael T. Heath
Manufacturer: The McGraw-Hill Companies, Inc.
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ASIN: 0072399104 |
Book Description
Heath 2/e, presents a broad overview of numerical methods for solving all the major problems in scientific computing, including linear and nonlinear equations, least squares, eigenvalues, optimization, interpolation, integration, ordinary and partial differential equations, fast Fourier transforms, and random number generators. The treatment is comprehensive yet concise, software-oriented yet compatible with a variety of software packages and programming languages. The book features more than 160 examples, 500 review questions, 240 exercises, and 200 computer problems. Changes for the second edition include: expanded motivational discussions and examples; formal statements of all major algorithms; expanded discussions of existence, uniqueness, and conditioning for each type of problem so that students can recognize "good" and "bad" problem formulations and understand the corresponding quality of results produced; and expanded coverage of several topics, particularly eigenvalues and constrained optimization. The book contains a wealth of material and can be used in a variety of one- or two-term courses in computer science, mathematics, or engineering. Its comprehensiveness and modern perspective, as well as the software pointers provided, also make it a highly useful reference for practicing professionals who need to solve computational problems.
Customer Reviews:
very nice conceptual overview.......2006-07-22
Wow, people seem to be really split on this book. I had Mike Heath for numerical analysis/scientific computing and he was an excellent instructor, one of the best lecturers I've ever had. (As a consequence, I have a hard time separating the book and the class, so judge accordingly.) The book is based on his lecture notes, though he added some material and didn't cover every topic in the book. Just reading the book is useful to give you an overview of the point behind different methods. The goal of the class for which this book was written is actually quite conceptual. It was to give scientists (that's me: a stats researcher who makes heavy use of numerical computation) and CS people in areas other than scientific computing a leg up. It was only a first class for people in scientific computing, the rough equivalent of intro Physics or intro Probability/Stats for people in those respective majors. However, you *won't* be prepared to "roll your own" from this book. In fact, at the beginning of the semester Heath was very careful to note that if you have the opportunity to use a library function for most numerical programming, you are nuts to roll your own. Why? Numerical algorithms are usually extremely complicated and the authors of the code often spend years developing careful expertise on them. Frequently the formulas used to elucidate a given method are NOT the ones used to implement it. You need error traps, tricks to handle ill-scaling and other special cases, etc. These are things that someone who has a one-semester, superficial understanding of a topic simply won't have. So consider the book on the goals it set: it is an overview of a field. If you want to learn more about any one topic, you have to dig deeper and consult references and other works, but this is a good place to start. For this, the book serves admirably.
Not for the practitioner.......2005-11-17
If you are interested in Scientific computing from the viewpoint of the end user that is the guy who uses the method to solve practical engineering problems then this book is lacking.
Not enough methods in this book to constitute an introductory survey of the field. Every chapter gets heavy dose mathematical treatment, apparently Heath loves his math but for the rest of us it doesnt translate into know-how. Know how to solve equations using computational techniques. Very few derivations to back his mathematical swagger, very few examples (if any) and fewer numerical schemes to solve problems. Many of the chapters receive cursory treatment such as PDE's get about 70 pages of print. Far too little to do anyone any good.
He does talk about interesting issues such as conditioning and error analysis and computer precision and memory issues but it is done from such a superficial viewpoint that one cannot use anything to improve ones code. Not recommended if you want to learn numerical methods even if you have an excellent professor to learn from. His chapter on FFT's was even more abstruse and there was hardly any methods with which to solve PDE's.
I had this for a graduate course in Numerical Methods but ended up using Hoffman's excellent book on Numerical Methods.
Trash.......2005-10-14
If you want to have a solid understanding of numerical computation, this book is definitely the last choice. Many theorems are given without any proof or even intuitions behind them in this book. Even when a proof is provided, it's often far from rigorous. The organization of chapters is the worst I have ever seen, revelant materials are scattered over several different locations rather than put together. Take the SVD for example, it is mentioned in the end of chapter 3, but reappears in chapter 4, which is very confusing. If you are new to this area, please don't read this book. It gives you many many facts without explanations, which I think is not a good way to learn new things. David S. Watkins' Fundamentals of Matrix Computations is a lot better and easier to understand. It also emcompasses many detailed treatments of various theorems. If you have bought Heath's book, don't be sad, at least it can serve as a coaster.
Excellent Introduction, Sparse on Details.......2004-11-20
While sparse on the details of many of the algorithms and theorems mentioned, as an introduction it covers a broad range of material-enough for two semesters of study. The writing is lucid, and when a proof of a theorem is given, it is easy to follow and explained in english afterward. Rationale is given for everything, which is a great benefit to a student not familiar with the nuances of sophisticated linear algebra.
A Good Introductory Survey.......2002-11-05
This book excels at presenting a reader with little to no knowledge in computer science and a mild mathematical background (knowledge of differential equations as a prerequisite) with the fundamental concepts regarding scientific computing. The presentation of pseudo-code algorithms helps smooth the transition from analytical (pencil and paper) thinking to numerical thinking. The algorithms are presented in a manner such tha anyone with access to dozens of possible environments can apply them, though they are by no means complete, thus requiring some thought into the processes. The material covered is 110% of what an engineer will want to know, 90% of what an applied mathematician will want to know, and 45% of what a numerical analyist will want to know. In all, a great book to begin a foray into numerical computing.
Book Description
Emphasizing the physical interpretation of mathematical solutions, this book introduces applied mathematics while presenting partial differential equations. Topics addressed include heat equation, method of separation of variables, Fourier series, Sturm-Liouville eigenvalue problems, finite difference numerical methods for partial differential equations, nonhomogeneous problems, Green's functions for time-independent problems, infinite domain problems, Green's functions for wave and heat equations, the method of characteristics for linear and quasi-linear wave equations and a brief introduction to Laplace transform solution of partial differential equations. For scientists and engineers.
Customer Reviews:
Great Math Book!.......2007-09-19
I am a pure math student, so I get easily frustrated with applied math books that offer intuitive proofs instead of the mathematical details. Haberman is a great author, not just in the sense that the book offers an easy and interesting reading, but both intuition and a lot of the technical details are provided for each topic. I can only say this about very few of my applied math books, so I am very happy with my purchase. I would recommend this book to anyone who wants precision and more clarity of thought into the subject.
No worked examples.......2007-04-22
While the presentation of the book was very understandable (especially compared to some other partial differential equation textbooks), there are few worked examples in the book. For those who want worked examples, just type in the google key words "haberman site:.edu". If this book could include some of those worked examples, it would be much better.
The book also uses slightly different notation from that of many other books.
Pretty good.......2005-11-27
Pretty good book to learn from. Well laid out. Some areas could be clearer, but will use often!
Absolutely no sense.......2005-09-27
I wouldn't listen to the other reviews. Coming from a student who's done very well so far in all his other engineering courses, nothing in this book makes any sense at all. They jump into topics you've never even heard of, and expect you to know everything right off the bat. There aren't many examples, most of it's derivation, and the book takes a tone that you are a genious and will understand everything without a concrete explanation. I wouldn't get this if its not a required text, if I were you.
Smooth transition to advanced topics!.......2005-08-22
Most books on PDEs either address very basic, introductory concepts or tackle advanced topics requiring Measure theory. In addition, they focus mainly on theoretical concepts and do not provide adequate worked examples. Haberman's text is immensely useful both in bridging the gap between elementary and advanced books as well as in providing many, many completely worked problems. Indeed once you have had a basic course in PDEs you could use this text to teach yourself graduate-level topics such as Green's functions.
I do not try to convey the impression that this is a mere cookbook - "here's a problem, let's look up the solution". To the contrary. Haberman provides the motivation for each kind of mathematical treatment and interprets his results, pointing out their important consequences. His presentation of Gibbs' phenomenon is the most clear and comprehensive I have yet come across.
I heartily recommend this book especially to Math and Physics seniors who hope to continue on to graduate school in either of these subjects. In either case, it is expected of you to be adept at Green's functions and Haberman's book lays the groundwork for this topic.
Book Description
This classic text is written for graduate courses in functional analysis. This text is used in modern investigations in analysis and applied mathematics. This new edition includes up-to-date presentations of topics as well as more examples and exercises. New topics include Kakutani's fixed point theorem, Lamonosov's invariant subspace theorem, and an ergodic theorem.
This text is part of the Walter Rudin Student Series in Advanced Mathematics.
Customer Reviews:
As a reference, this is nice, but as a book for first-time learners..........2007-08-28
I enjoy perusing Rudin's "Functional Analysis" at this stage in my life. It is fairly nice tome for functional analysis, and its general treatment of topological vector spaces (as opposed to the standard Banach space examples studied in a typical functional analysis class) is now well-received.
However, as a student, I was put off by this book. At times, I found it difficult to tie the theory present to the basic examples which were relevant at the time (such as L^{p} spaces). For a first time learner, I would suggest the book of Kolmogorov and Fomin (which is a Dover book, by the way), and would wait until later for this book.
Outstanding.......2007-05-30
Hardly can I find words to highlight the goodness of this book. As mentioned by other readers ,it provides elegant, direct and powerfool proofs of the three theorems which constitute the cornserstones of functional analysis (Hanh-Banach, Banach-Steinhaus and Open mapping). These theorems are, in addition, studied in their most general context, namely topological vector spaces.
Specially appealing is its treatment of distributions' theory. It is, as far as I know, the only text which start by defining the rigurous topology on the set of test functions and then obtains the convergence and continuity of functionals (distributions) in terms of this topolgy, which is, indeed, the only way to present and gain insight into these concepts and to reach some results such as completness. In doing otherwise one risk definitions can emerge as artificial and rather arbitrary.
It is, without any doubt, a must have book for those with interest in pure mathematics as well as for those who, eventually, realize that the only way to dominate their area is saling through mathematics.
Modern topics in math........2003-04-05
"Modern analysis" used to be a popular name for the subject of this lovely book. It is as important as ever, but perhaps less "modern". The subject of functional analysis, while fundamental and central in the landscape of mathematics, really started with seminal theorems due to Banach, Hilbert, von Neumann, Herglotz, Hausdorff, Friedrichs, Steinhouse,...and many other of, the perhaps less well known, founding fathers, in Central Europe (at the time), in the period between the two World Wars. In the beginning it generated awe in its ability
to provide elegant proofs of classical theorems that otherwise were thought to be both technical and difficult. The beautiful idea that makes it all clear as daylight: Wiener's theorem on absolutely convergent(AC) Fourier series of 1/f if you can divide, and if f has the AC Fourier series, is a case in point. The new subject gained from there because of its many sucess stories,- in proving new theorems, in unifying old ones, in offering a framework for quantum theory, for dynamical systems, and for partial differential equations. And offering a language that facilitated interdisiplinary work in science! The Journal of Functional Analysis, starting in the 1960ties, broadened the subject, reaching almost all branches of science, and finding functional analytic flavor in theories surprisingly far from the original roots of the subject. The topics in Rudin's book are inspired by harmonic analysis. The later part offers one of the most elegant compact treatment of the theory of operators in Hilbert space, I can think of. Its approach to unbounded operators is lovely.
The Bible on Distributions.......1999-06-15
No other book covers the elements of distributions and the fourier transform quite like Rudin's Functional Analysis. This is a must for every budding PDE-er!
Uno de los mejores en Análisis Funcional.......1998-02-05
De los excelentes textos en Análisis Funcional que existen en el mercado, éste es de los mejores. Tiene una excelente presentación de la Teoría de Distribuciones, en los capítulos 6, 7 y 8. La teoría espectral como se trata aca es magnifica. Tambien tiene un desarrollo muy completo sobre espacios vectoriales topológicos. Termina con una reseña bibliográfica muy completa.
Book Description
Fourier analysis is a ubiquitous tool that has found application to diverse areas of physics and engineering. This book deals with its applications in optics, and in particular with its applications to diffraction, imaging, optical data processing, holography and optical communications.
Customer Reviews:
Simply the best.......2007-07-11
Only the best will do - and this is it.
Mandatory reading for anyone involved in optics. Goodman's books are treasure troves.
A very nice book , but nothing is ever perfect..........2005-10-07
Overall I like the book for it is clear, the mathematics is lucid and has all the essentials in a comprehensive way. I have found it quite useful for research. In addition, for the most parts it is quite accurate.
Some criticisms though:
Contains everything from a more mathematical point of view. By that i mean, problems are usually not very physically motivated and some of the conclusions drawn are not very physical. that is you are given at the end of a discussion only an integral. It would have been nice if there were more discussions on the physics of Fourier Optics, for example pictures of actual experimental results or clear diagrams that show for example how does the diffraction pattern for a given input looks like. So getting an intuitive grasp of the subject at a pictorial level, where you can 'see' the results is a bit challenging to get out of this book. also very expensive.
Goodman's Fourier Optics 3rd Edition: An Improved Classic........2005-08-12
For the last month, I have been using this book for self study to aid me in my work with lasers. Originally, I was working from the 1st edition (borrowed from a co-worker), but decided to buy my own copy. I wound up buying the 3rd edition, a significantly expanded version of the original.
Goodman's writing style is conversational and his treatment of the subject is thorough. I appreciate his inclusion of enough optics/E&M background within the text that I am not constantly having to go to my bookshelf to consult other references. Note, the 3rd edition has several helpful appendices not found in the 1st edition.
There are also many instructive problems given throughout the text to help students solidify their understanding of the material.
This is an excellent book for self study, and would certainly make a fine text for a senior undergrad course on the subject. I recommend it highly.
Charlie.
The best book on the topic.......2005-07-14
This is the best book on Fourier Optics that I'm aware of. There is sufficient detail that you can follow the math, but also has well written text explaining concepts. The problems are sometimes trivial and sometime challenging, but they are very much an integral part of the book and doing them is necessary to get a full understanding of the material. There is a 3rd edition of the book with an additonal chapter, which is available at a much lower price, but Amazon does not seem to be carrying it yet. Hopefully they will soon. (...)
A good path to physical optics and imaging theory.......2000-06-14
This book is cleary written. The basic theory of Fourier transform is included too. Fourier optics is a very strong tool in imaging and optics. I would say Goodman is an enginnering guy, but some physical insight is not very clear. Diffraction theory is easier to understand than J.D. Jackson's E&M. And the whole book is easier to read than Born and Wolf's Principle of Optics and has more details. After all, it is a good book for Fourier opitcs. But the price is too high.
Book Description
This example-rich reference fosters a smooth transition from elementary ordinary differential equations to more advanced concepts. Asmar's relaxed style and emphasis on applications make the material accessible even to readers with limited exposure to topics beyond calculus.
Encourages computer for illustrating results and applications, but is also suitable for use without computer access. Contains more engineering and physics applications, and more mathematical proofs and theory of partial differential equations, than the first edition. Offers a large number of exercises per section. Provides marginal comments and remarks throughout with insightful remarks, keys to following the material, and formulas recalled for the reader's convenience. Offers Mathematica files available for download from the author's website.
A useful reference for engineers or anyone who needs to brush up on partial differential equations.
Customer Reviews:
Partial Differential Equations and Boundary Value Problems.......2002-07-18
I think this book is Possibly the best Mathematic book for Engineer I've ever read. This is due to the fact that the material is so much clear and the examples are so easy to follow. The book's explanation is precise and accurate. The exercises on every chapter are helpful. I practise almost most of the exercise problems. In fact, I score an "A" on the first Test. I will recommend it to everyone without hesitation.
Initial impressions.......2000-04-04
Nakhle: Just a quick note to thank you for your book! It arrived Thursday, and I've been reading it and doing the exercises both on paper and in Mathematica 3.0. After a quick review of the whole book and a thorough reading of the first 70 pages so far, I can say I just love it! If I'd only had a book like this in college and graduate school I'd have become a much better electrical engineer. Yours is one of the best expositions of both Fourier series and partial differential equations I've used. Although I haven't gotten very far into the boundary value problems and the orthogonal functions areas of the book yet, my initial review indicates they will be excellent also. I am enjoying your book immensely, and I thank you very much for it. I'll update this with a more thorough review when I have a chance to finish the book, but I wanted to share my initial impressions so others might weigh them into their own decisions to get this excellent book.
A clear introduction to PDEs, Fourier series.......2000-03-28
This text not only provides a simple and easy-to- read-the-first-time guide to solving PDEs with Fourier series, it also is chock-full with all the necessary details and includes many interesting problems. I took a course out of this book as a sophomore in college and found it very interesting and useful. The style and difficulty is very similar to a typical undergraduate ordinary differential equations book, except this is better organized.
The subjects include a small bit on characteristics for first-order equations, a chapter on trigonometric series, PDEs in rectangular, polar, and spherical systems and associated eigenfunction expansions, Sturm-Liouville theory, the fourier transform, Laplace/Hankel transforms for PDEs, grid-type numerical methods, sampling & discrete Fourier analysis, and quantum mechanics (the Schrödinger equation).
This book is definitely great for applied mathematicians, physicists, or engineers who really need a solid introduction to the topic, written by someone who knows all the details. Any treatment in "mathematical physics" courses on PDEs will fall short of this book's content.
Of particular importance are the inclusion of special sections for Bessel functions, Legendre polynomials, associated Legendre functions, spherical harmonics, etc. All the details of solution and many exercises are included.
The most interesting parts of the book are towards the end, with the Sampling Theorem and discrete Fourier transform; and the proof of Heisenberg's uncertainty principle.
This book is also useful for more theoretical mathematicians or mathematical physicists who need an introduction to PDEs before taking a more difficult course on general theory.
In short, I think that even though this book is of great utility to non-mathematicians, it is proper to learn these concepts and techniques in a proper math setting where care is taken. This text is a solid foundation for confident application and a springboard towards more advanced subjects.
Book Description
This first volume, a three-part introduction to the subject, is intended for students with a beginning knowledge of mathematical analysis who are motivated to discover the ideas that shape Fourier analysis. It begins with the simple conviction that Fourier arrived at in the early nineteenth century when studying problems in the physical sciences--that an arbitrary function can be written as an infinite sum of the most basic trigonometric functions.
The first part implements this idea in terms of notions of convergence and summability of Fourier series, while highlighting applications such as the isoperimetric inequality and equidistribution. The second part deals with the Fourier transform and its applications to classical partial differential equations and the Radon transform; a clear introduction to the subject serves to avoid technical difficulties. The book closes with Fourier theory for finite abelian groups, which is applied to prime numbers in arithmetic progression.
In organizing their exposition, the authors have carefully balanced an emphasis on key conceptual insights against the need to provide the technical underpinnings of rigorous analysis. Students of mathematics, physics, engineering and other sciences will find the theory and applications covered in this volume to be of real interest.
The Princeton Lectures in Analysis represents a sustained effort to introduce the core areas of mathematical analysis while also illustrating the organic unity between them. Numerous examples and applications throughout its four planned volumes, of which Fourier Analysis is the first, highlight the far-reaching consequences of certain ideas in analysis to other fields of mathematics and a variety of sciences. Stein and Shakarchi move from an introduction addressing Fourier series and integrals to in-depth considerations of complex analysis; measure and integration theory, and Hilbert spaces; and, finally, further topics such as functional analysis, distributions and elements of probability theory.
Customer Reviews:
very good but it is not an introduction.......2007-07-16
This is a very nice book in Fourier analysis with strong applications or examples in elementary partial differential equations. It is the first book of the three volumes set in the Princeton Lectures in Analysis. However, it is not an introductory text and some background in elementary analysis is required to fully appreciate its content.
Excellent for an easy intro to distributions and it's applications.......2007-03-23
This is a somewhat biased review because sometimes I find myself searching for a good reference that treats a subject matter that is well-known in an easy, direct and accessible way. When I find such a book I end up relieved. This is what happened with the book by Stein and Shakarchi titled "Fourier Analysis".
In my case the search was for easy and accessible treatement of the theory of distributions in general and its applications to the wave equation in particular.
There are a number of references that treat this subject matter but all the ones I know of do this from a more advanced point of view. Stein and Shakarchi's book stems from an undergraduate lecture sequence thought at Princeton and the level of the text is indeed appropriate for the bright undergraduate who may or may not major in mathematics later on.
This is unlike PDE books by Taylor, or lecture notes by Melrose, or even the tiny booklet by Friedlander and Joshi that introduce distributions and their application to PDEs (like the wave equation) and certainly unlike Hörmanders comprehensive 4-volume treatment of the whole subject matter. All these references shoot significantly higher in terms of technical sophistication and I'd certainly not recommend them to typical engineering students for self-study. As possible exception I might mention Shubin's PDE books and encyclopedia contributions but they are more terse than the book under review and give less ground to more introductory matters.
Not so the book under review. It's an excellent, well-illustrated and clear presentation of the theory of distributions and its application to the wave equation, covering important (and old) techniques like the method of descend, which is still lacking from many contemporary engineering mathematics textbooks. Yet the book is written in a form and style to be accessible to a typical reader with engineering mathematics background while still being "modern" in it's mathematical language.
Hence I have recommended this book to many colleagues (and received enthusiastic reactions) as the only and at that quite excellent introduction ín know of to the theory of distribution, PDEs in that language and Fourier Analysis in that language that I trust to be accessible for non-specialists and as a gentle and non-threatening introduction to more technical texts.
OK, but not a masterpiece.......2005-12-11
I taught an advanced undergraduate/beginning graduate class on Fourier transforms using this book as the text and wasn't thrilled. The selection of material seems uneven to me. For instance, there's a lengthy discussion of convergence issues for functions on the circle. Then apparently the authors became tired and basically restrict the treatment of the continuous case to Schwartz functions (which, of course, is insufficient for virtually every application). Also, the chapter on L_2 convergence seems to have been written on an off day.
These weaknesses don't make the book worthless, but in my opinion, there are better efforts on the market. One of my favorites for roughly this level of sophistication would be the book of Dym and McKean (which, admittedly, is a little more advanced).
Not application oriented .......2005-01-25
I am working on my research which involves applications of Fourier transforms. I spent the whole weekend reading the first five chapters of the book and briefly looking at the exercises, hoping to get a general picture of Fourier analysis and its applications. While theories are actually well presented, I didn't find interesting applications. The book does talk about "applications", like the area enclosed by a simple curve is maximized when the curve is a circle, or that you can find a continuous but nowhere differentiable function using fourier analysis, and other examples in NUMBER THEORY. This kind of applications may be interesting to mathematics students (I was), but obviously not to engineers (I am now). Plus, a lot of nice results are actually placed in the exerciese. I would have missed those if I didn't look at the exercises. So this might be a good text book for mathematics students (if they really do all exercises), it is obviously not for those who are interested in computations and applications.
Excellent, if you've got some experience in analysis.......2004-12-18
I used this book for an undergraduate-level course in Fourier analysis. It is an excellent text, although I would recommend the prospective learner to take a basic course in real analysis first (or perhaps concurrently, if the learner dares!). With my experience in analysis, it proved very readable. In fact, it strengthened my understanding of (and even interest in!) analysis, as it provides a fruitful application of the subject--one gets to see various important analysis ideas and techniques used in context. One could almost say that the text is an excellent complement to real analysis to help the ideas jell. On the other hand, perhaps it is theoretically possible to use this book as a springboard into learning analysis. The proofs do gloss over some details, which as the previous reviewer noted, can make things tough going at times... I actually found this useful (again, perhaps because of analysis experience), as it omits just enough detail to stay focused on the subject at hand (being too pedantic is likely to make those of shorter attention spans, such as myself, want to wander away), and yet supplies enough detail to remind the reader of the underlying theory, and that all this stuff is mathematically rigorously justified.
The course I took was actually a brand-new course created at the undergraduate level, and was structured around the book, which had also just come out at the time. I can say with confidence that the course was a success, which is pretty unusual for something hot off the press (true, the book itself was based on lectures, but every university has its quirks...).
Average customer rating:
- Mathematical Handbook of Formulas and Tables
- Handbook of formulas and Tables
- great reference
- one of the best
- Very useful in a pinch
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Schaum's Mathematical Handbook of Formulas and Tables
Murray R Spiegel
Manufacturer: McGraw-Hill
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ASIN: 0070382034 |
Book Description
Students and research workers in mathematics, physics, engineering and other sciences will find this compilation of more than 2000 mathematical formulas and tables invaluable. They will see quickly why half a million copies were sold of the first edition! All the information included is practical -- rarely used results are excluded. Topics range from elementary to advanced-from algebra, trigonometry and calculus to vector analysis, Bessel functions, Legendre polynomials and elliptic integrals. Great care has been taken to present all results concisely and clearly. Excellent to keep as a handy reference!
Customer Reviews:
Mathematical Handbook of Formulas and Tables.......2007-09-25
A very useful book that gathers all the mathmatical formals 'as the title states. As an Engineering Student it is very helpful to have everything in one text instead of getting your old books and digging through them to find them.
Handbook of formulas and Tables.......2007-01-04
It is a good quick reference to getting formulas for math problems.
great reference.......2007-01-04
tables are concise with out missing any important integrals. the table is my constant companion for undergrad physics and mathematics.
one of the best.......2006-11-10
one of the best books i've ever got....
it has every thing i need
Very useful in a pinch.......2006-11-10
As a tabular summary of many useful mathematical relations, the book is very job-specific; however, it contains most of the functions and functional relations that a scientist or engineer might need. The layout is clean and very well organized. It's a useful reference, but does not actually derive anything, so if one is looking for derivations, then try looking at applied mathematics textbooks.
Average customer rating:
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Introduction to Fourier Analysis and Wavelets (Brooks/Cole Series in Advanced Mathematics)
Mark A. Pinsky
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ASIN: 0534376606 |
Book Description
Written by a successful author and respected mathematician, this book emphasizes a concrete and computational approach to the subject of Fourier analysis and wavelet theory while maintaining a balance between theory and applications. In some cases, several different proofs are offered for a given proposition, allowing readers to compare different methods.
Customer Reviews:
For the Students!.......2002-07-23
Courses in harmonic analysis have a central place in the course offerings of every math department, be it pure or applied;-- and the subject is as important as ever! Yet it has not always been easy for an instructor to find a book that is right for the students. Some books might be too skimpy on proofs, or not deep enough.-- Or the applications may somehow be artificial, or contrived. Afterall, we teach the material to engineers!-- It is a relief to find, in Pinsky's lovely new book, a balanced approach to the subject. The motivation and the history receive a beautiful presentation, as do the technical points and proofs. And the historical comments- sprinkled throughout the book- bring the subject to life. At the same time, the book is forward looking, and it has been tested in courses. Great exercises! The structure of the exposition is friendly, and gently leads the reader toward the exciting new wavelet material in the last hundred or so pages of the book. The student thereby gets a sense of how the central questions in wavelet theory have their root in the more classical ideas of harmonic analysis.
Customer Reviews:
A book that explains just the basics on Fourier analysis.......2007-02-05
Some weeks ago I had the opportunity to read the entire book. It has 456 pages and is divided into 3 parts with a total of 13 chapters. There is an appendix (12 pages) with a few exercises.
What author explains here is very well done, with plenty of illustrations, but Fourier analysis is treated very superficially, with a few practical applications. There is a lack of a set of exercises (problems to be solved) in the end of each chapter, in order to help readers to practice what was learned previously.
If you need to acquire a deep knowledge on Fourier transform and intend to apply it in some important areas of Telecommunications (microwave engineering, digital signal processing, etc.), don't expect to become an expert just reading this book. Here you will find a few basic concepts, only.
I was impressed by the concept of LEX and this book.......2007-01-31
This book was originally written to convey the experiences of the Transnational College of LEX (TCL), also known as Torakare, to as many members of the Hippo Group as possible. The college was founded in Tokyo in 1984 as a place where people could study the relationships between human beings and languages. People of all ages, from recent high school graduates to grandparents, study there. It is a school with no homework or exams and no taking of attendance, although people do graduate. Senior fellows, scientists and academicians are also there to lecture and help direct the people in their studies. The Hippo Family Club is the name that the group went by before the LEX name was taken, so the members and graduates are often referred to by that legacy title.
The language studies conducted at LEX are amazing, the Hippo members practice speaking eleven different languages at the same time. Their approach is that every form of human endeavor, mathematics included, has its' own specific language. Therefore, the idea behind this book was to write a description of Fourier series that would be understandable by as many people as possible.
In that capacity, they have succeeded very well, they start with the basic idea that all speech is a set of waveforms that can be described by sine and cosine curves. Moving slowly from this point, the plotting of complex waveforms by combining different curves is demonstrated. The calculus operations of differentiation and integration are included and the final stop is at the Fast Fourier Transforms (FFTs).
Many diagrams are used along this journey, reflecting the incremental nature of the presentation. The slow speed of coverage makes it inappropriate as a textbook, but it would be an excellent book for individual study. However, if you knew some of the math, you would find those sections boring. In many ways, this book has the appearance of a children's workbook, only there are not very many exercises to work through.
While I often found the pace tedious, I remain impressed by the concept of LEX and this book. It is readily admitted early on that it is the work of amateurs, but the authors clearly had fun in writing it and they do explain the topic in complete detail.
Gateway to signal processing.......2006-04-23
This book gives a clear explaination of Fast fourier transform. Although there are many books with lot of mathematics to explain fast fourier transform, this book explains without much math. Some explainations are too wordy, but overall this is a very good book to buy for yourself if you are new to Fourier domain and were wondering what is FFT.
Good for specifics.......2006-03-03
This was a pretty cool book. It's been 25 years since looking at any kind of Calculus text and well, one night I was thinking to myself just how much of this stuff did I learn in the first place.
The chapters on differentiation and integration were well done. From a cultural perspective the little cartoons were fun for awhile but got tiring fairly soon after getting into the text. Also, it would have been nice to have real life problems, for example, distance, velocity, acceleration, popultions, etc. showing applications of the aforementioned functions. 3.5 stars
Unique and Quite Amazing.......2005-10-01
This is a great book, but probably different from anything you might expect. On flipping through the pages it looks like one of those comic book guides, but don't let that decieve you; there is a lot of serious material in this book. "Who is Fourier" is certainly not equivalent to a college level textbook on Fourier Analysis, but neither is it simply a descriptive overview. The book is filled with equations, and some of them are quite complex. What is unique in this book is that the equations are explained from the ground up, starting from an extremely basic level, yet building to a fair level of complexity. If you have taken any math beyond high school algebra, this can sometimes be annoying because the book really assumes essentially no knowledge of anything beyond basic math. On the other hand, if you have not had much math, this is really good because it makes the text accessible to virtually everyone, and if you have taken some more advanced classes in math, you may still find some interesting surprises in the basics. I know I did.
In spite of the very basic building blocks that this book begins with, the book does take you through some pretty serious stuff. The Fourier series itself is covered in roughly the first third of the book. From there, the basics of differentiation, integration, vectors, complex numbers, Maclaurin series, and the Euler formula are described, leading one steadily from the Fourier series to the Fourier transform.
The only thing I can see that might turn some people off is the somewhat comic book style in which the book is written. To understand the reason behind the style, one must understand who wrote the book and why. The book really was not originally written for the general public, but for members of a club whose members learn up to 11 differnet languages simultaneously. The club is related to the Transnational College of LEX which does research into the way we learn languages. The study of waveforms was a natural extension of their interest in languages, and this led, of course, to Fourier analysis. The book essentially chronicles the students' own learning of Fourier analysis, and it was written as a means of sharing what they learned with other students and members of their club, so it was written in a very casual style, including little stick figure illustrations of characters representing the students and various historical figures. It even has simulated dialogue between the students and fictional characters. I debated about giving the book four stars instead of five because I personally do not care for this style very much, but in the end, I'm not sure the book would be quite as effective if it were written in a more formal style, so I left it at five stars. The book is truly unique and quite amazing.
As a side note, I just glanced at the preview pages on Amazon. These really don't do justice to the book. Although they give a good idea of the general layout of the book, and the sort of comic book style in which it is written, they don't show any of the meat in the book. There is much more to the book than suggested by the preview pages.
Average customer rating:
- Signals and Systems
- Best Book EVER!!!!! (No Kidding)
- A Great Study Tool
- Organized, Clear and Complete with Appropriate Rigor
- A Work of Pure Imagination
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Schaum's Outline of Signals and Systems
Hwei Hsu
Manufacturer: McGraw-Hill
ProductGroup: Book
Binding: Paperback
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Schaum's Outline of Digital Signal Processing (Schaum's)
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Schaum's Outline of Feedback and Control Systems (Schaum's)
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Schaum's Outline of Electromagnetics
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ASIN: 0070306419 |
Book Description
This powerful study guide gives you 571 problems in signals and systems, fully solved step-by-step! From SchaumÕs, the original study guide, and studentsÕ favorite with over 30 million guides soldÑthis solution-packed timesaver helps you master every type of problem you will face on your tests, from simple questions on linear time-invariant systems to complex Fourier analysis of discrete-time systems and state space analysis. Go directly to the answers you need with a complete index. Compatible with any classroom text, SchaumÕs Outline of Signals and Systems is so complete itÕs the perfect tool for graduate or professional exam prep!
Customer Reviews:
Signals and Systems.......2007-09-25
Not one of Schaums good books. Skips too many steps in solving problems. Other EE students and also complained about this one. Usually Schaums a safe bet, just not this time.
Best Book EVER!!!!! (No Kidding).......2007-08-27
I don't even know how to start to express how much i love this book...i almost have tears in my eyes as im writing this LOL This book saved the rest of my studies in Electrical engineering. The book by OPPENHEIM is a WASTE of money AND time!!! It's a huge book that confuses students for nothing! But this one instead is more detailed and waaaaay smaller than OPPENHEIM's book. So that you actually learn waaaaay faster! It doesn't contain no stupid stories that we don't give a **** about LOL It goes straight to the point.
For me it's been the best book EVEEEEEEER!!!!! PERIOD!!!
A Great Study Tool.......2007-05-07
I purchased this book for a first course in Communications; Math of Linear Systems in the Electrical Engineering Department. This was the first outline book that I ever purchased. It was a great study tool. It is clearly organized and easily navigated. The language is plain and simple. The examples are effective in detailing the covered concepts, and will greatly improve your understanding of the material.
This book was used to clarify the concepts taught in the course - and accomplished that task well. It would be a poor idea to expect this book to teach Signals and Systems to someone unfamiliar with the concepts.
Organized, Clear and Complete with Appropriate Rigor.......2007-02-27
Positive:
The topics are well organized and covered with an attention to detail. In fact, some of the details regarding convergence of transforms are nicely and concisely presented in this text, while other more expensive texts gloss over certain subtle aspects (bilateral Laplace transforms). As a result of the quality of this book, I've used the text as the sole text for an undergraduate introduction to Signals & Systems. Like all Schaum's outlines, the book provides great detail in the steps necessary to arrive at final solutions. It's a bargain when used as a reference manual or tutorial.
Negative:
Unlike a typical course text, there is very little explanatory prose in each chapter. Without an understanding of the motivation or reason for using certain "tools" in an electrical engineer's toolset, a student can easily feel as though most of the presentations are mathematical exercises without connection to real signals or systems. I've found that in my use of this text, it is imperative that those connections are carefully made, and constantly re-enforced, while working the exercises. A user of this text benefits from seeing demonstrations, working on real-world problems and making the mental connections between the mathematical operations contain within.
A Work of Pure Imagination.......2006-11-03
If you are trying to understand the premise and scope of signals and systems theory, look no farther. Hsu hit a home run in the materials--especially selection of problems--and their arrangement. To get the most out of this text, you will need to understand your calculus and your calculus-based physics backwards and forwards. Otherwise, some of this material may strike you as somewhat pointless.
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