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 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.
Average customer rating:
|
Introduction to Fourier Analysis and Wavelets (Brooks/Cole Series in Advanced Mathematics)
Mark A. Pinsky
Manufacturer: Brooks Cole
ProductGroup: Book
Binding: Hardcover
 General
| Science
| Subjects
| Books
General
| Mathematics
| Science
| Subjects
| Books
Infinity
| Mathematics
| Science
| Subjects
| Books
Mathematical Analysis
| Mathematics
| Science
| Subjects
| Books
Mathematical Analysis
| Mathematics
| Professional Science
| Professional & Technical
| Subjects
| Books
All Titles
| Qualifying Textbooks - Fall 2007
| Stores
| Books
Professional
| Qualifying Textbooks - Fall 2007
| Stores
| Books
Science
| Qualifying Textbooks - Fall 2007
| Stores
| Books
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.
Book Description
From the reviews: "Volume 1 covers a basic course in real analysis of one variable and Fourier series. It is well-illustrated, well-motivated and very well-provided with a multitude of unusually useful and accessible exercises. (...) There are three aspects of Courant and John in which it outshines (some) contemporaries: (i) the extensive historical references, (ii) the chapter on numerical methods, and (iii) the two chapters on physics and geometry. The exercises in Courant and John are put together purposefully, and either look numerically interesting, or are intuitively significant, or lead to applications. It is the best text known to the reviewer for anyone trying to make an analysis course less abstract. (...)" The Mathematical Gazette (75.1991.471)
Customer Reviews:
a superb book.......2006-04-05
This is a rewrite of the great book by Courant, and it does justice to its origin. I prefer the somewhat more charming original book of Courant myself, but I have taught from this one too and learned something more.
Since the original Courant costs $120 for the 2 volume set, this volume at $33 is a bargain, so snap it up. This is 10 times as valuable as most current $130 calculus books.
More than an introduction.......2005-12-15
Those books (volumes 1-2) can be seen as a new edition of Courant's classical Differential and Integral Calculus, volumes 1-2 (that can still be used for general calculus courses). The first volume was written while Courant was still alive, and the second was postumous. I believe that they are the best work to start understanding analysis. Indeed, for the general scientist (as a physicist) it contains all the theory needed for any application. The book is not easy reading though. Much of the text can be understood on first reading, but there are pretty profound sections, mostly on the appendixes, that turn the book genuinely onto a book of analysis. The second volume requires some mathematical maturity, and I doubt whether it is suitable for beginners, but it is simply the best book of multivariate calculus that I know - and it is really difficult to think of a better presentation. Courant was a giant, and his concept of mathematics shines in every page of those books (although he did not see the publication of the second volume, his hand can be seen in every page). For the serious mathematician, a must-have. For the beginner, the best way to get in love. Courant and John don't lie, they give every proof and guide you most gently in this complicated garden called mathematics. I'd give it aleph stars if it was possible.
Absolutely beautiful!.......2005-01-24
I give 5 stars to this book because in contrast with the majority of the calculus textbooks it gives the reader the perfect combination between rigor and intuiton. Another thing that I also like a lot is the fact that volume 2 has solutions to almost all the excercises, which is great because some of the problems are very difficult. I really think this book is a "must have".
simply the Best Calculus Book.......2002-08-12
An intuitive, rigorous and a beautifully conceptual approach to calculus is what distinguishes this book from the thousands of run-of-the-mill "Calculus I" textbooks published every year.
This is not surprising because 1) Courant and John were both important German-born mathematicians, both schooled in that great mathematical mecca, Gottingen, both making fundamental contributions to many classical branches of pure and applied mathematics. Courant is an especially important mathematician since he not only studied under the greats Minkowski and Hilbert - even serving as the latter's assistant - but founded the Courant Institute of Mathematical Sciences in New York, modelled on the Gottingen Mathematical Institute. 2) That typical German thoroughness and emphasis on the mastery of the "fundamental concepts", so dear to German textbooks, is evident in all sections of the book, particularly in the introductory material on the number continuum, functions, continuity etc.
The exercises at the end of chapters are substantial and excellent, and help to develop proof skills in students as well as a subtle mathematical intuition.
Mathematics is best learnt by studying books written by important mathematicians. Classic books like these should always serve to prove the truth of Abel's dictum that to master mathematics one should 'study the masters and not the pupils'.
You must have this........2002-05-28
My review of the first volume pretty much applies here as well. How many *calculus* texts have an introduction to complex variables, and the theory of analytic functions? This is the only one I've ever seen, and I don't think anyone else could make it more enriching than Courant. Useful material on vector calculus, the theory of matrices, and even introductory material on the *calculus of variations* (something we usually don't see at *all* in the undergrad curriculum) is included. It is refreshing to have an instructor like Courant, who doesn't assume we can't follow higher mathematical roads, but also doesn't sit at the other end of the spectrum, just waving a wand and "poof, here is the result".
Courant also published a standard reference work (also two volumes, I believe) on Mathematical Physics. While the level of mathematics required is post-grad, I was still able to read sizeable sections of it without getting lost.
We can only hope Dover decides to publish Courant's works one day, to make them a little more affordable. But still, you can buy both volumes of Courant's intro to calculus for about the same price as a modern calculus text that waters down the material, and on top of that, provides inadequate explanation for the material it does cover.
Book Description
Ace your course in Fourier analysis with this powerful study guide! With its clear explanations, hundreds of fully solved problems, and comprehensive coverage of the applications of Fourier series, this useful tool can sharpen your problem-solving skills, improve your comprehension, and reduce the time you need to spend studying. It also includes hundreds of additional practice problems for you to work on your own, at your own speed to help you get ready for tests. Featuring theorem proofs as well as real-world application examples, this comprehensive guide is also the perfect tutor for brushing up for graduate or professional exams!
Customer Reviews:
Several exercises.......2006-07-05
This book have a several exercises.
IF you prepare a test, i recommend you purchase this book
Good for Fourier analysis and much more.......2005-12-04
This Schaum's outline is unique in that you not only get a thorough coverage of Fourier analysis, but of other orthogonal functions such as Bessel, Legendre, Hermite, and Laguerre. The first chapter would be interesting to students of partial differential equations because of its excellent treatment of boundary value problems and of the different types of partial differential equations. It makes an interesting first taste of PDE solution methods. Chapter two is a traditional treatment of Fourier series and its applications. As in the first chapter, it is the applications that make the chapter unique as the Fourier series is used to solve problems in heat flow, Laplace's equations, and vibrating systems. Chapter three has a good discussion of why you would actually care if a function is orthogonal. Chapter four discusses special functions and how they are evaluated. Chapters five and six are all about applications of the Fourier integral and of the Bessel function respectively. Chapter seven uses the Legendre functions to solve problems such as finding the potential interior and exterior to a sphere given a specific charge distribution. Chapter eight finishes the guide with a discussion of Hermite and Laguerre polynomials, more from a properties standpoint than from an applications standpoint. The reader of this guide should already be knowledgeable of Calculus and differential equations, and should probably have some kind of background in physics or engineering to get the most from the book. It would be a good supplement for the student of partial differential equations or signal processing as well as the student of Fourier analysis. I think what really sets this book apart is its ability to act as a stand-alone guide to the student with the required prerequisites and to actually to inspire you to study applied mathematics more. As for my own story, I picked up a previous edition of this book 17 years ago for a coworker that thought it might be helpful in a class he was taking. He decided he didn't want it and so I began thumbing through it. I found the applications sections to be so interesting and inspiring that I wound up going back to graduate school and eventually picked up three master's degrees! If you like this Schaum's outline, you might also want to pick up "Schaum's Outline of Advanced Mathematics for Engineers and Scientists" by the same author. It is also full of mathematics inspired by real world problems in need of solution.
Step-by-step explanations.......2002-08-28
This text is a good supplement to understanding the use of Fourier analysis and how it is used in real-world applications. The explanations are to the point and the solved problems are all fairly easy to follow.
At the end of the chapter, there are exercises to test your knowledge, and most of the answers are in the back of the book. Modeling the exercises on the problems, you can usually work out what you should do for the exercise.
This is a good study guide.
Good study aid!.......2000-03-28
Very helpful to me in my medical imaging and signal processing assignments! A good buy for any student of engineering or science, particuarly useful to the study of signal analysis.
Book Description
A complete and balanced account of communication theory, providing an understanding of both Fourier analysis (and the concepts associated with linear systems) and the characterization of such systems by mathematical operators. Presents applications of the theories to the diffraction of optical wave-fields and the analysis of image-forming systems. Emphasizes a strong mathematical foundation and includes an in-depth consideration of the phenomena of diffraction. Combines all theories to describe the image-forming process in terms of a linear filtering operation for both coherent and incoherent imaging. Chapters provide carefully designed sets of problems. Also includes extensive tables of properties and pairs of Fourier transforms and Hankle Transforms.
Customer Reviews:
A clear and complete book on linear systems as well as optics.......2006-12-24
This book is a textbook on linear systems, Fourier analysis, diffraction theory, and image formation. It is not a textbook on Fourier optics, but was intended to helps students with the basics before attempting that subject. This book might also be helpful to students that are studying linear systems theory or image processing alone and need an additional reference. There are problems at the end of each chapter, and the problems include both numerical calculations and derivations. No solutions to the problems are included. Numerous examples are shown with complete steps. Some examples are numerical, and many are not. Minus the optical material, I had already seen the rest of the material in the book before I used it, so perhaps I am not the best judge of how complete a textbook it was, but to me it seemed very complete and clear. Unlike many similar textbooks, the author did not assume much about the reader's background other than the Calculus, differential equations, and linear algebra that you would expect any graduate engineering student to have already mastered. I definitely recommend going through it or having access to it before you enroll in a class on Fourier optics.
Chapter 2 presents an elementary review of various properties and classes of mathematical functons, as well as a description of the manner in which these functions represent physical quantities. Chapter 3 introduces a number of special functions that are of great use in later chapters. In particular the rectangle function, the sinc function, the delta function, and the comb function are very useful. Also, several special functions of two variables are described. In Chapter 4 the fundamentals of harmonic analysis are explored as well as how various arbitrary functions may be represented by linear combinations of other more elementary functions. Chapter 5 discusses the physical systems in term of linear operators, and the notions of linearity and shift invariance are introduced. Next, the impulse response function, the transfer function, and the eigenfunctions associated with linear shift-invariant systems are discussed. Chapter 6 is devoted to studies of the convolution, cross-correlation, and autocorrelation operations. The properties of these operations are explored in considerable depth. The fact that the output of a linear shift-invariant system is given by the convolution of the input with the impulse response of the system is derived and explored.
In Chapter 7 the properties of the Fourier transformation is investigated, as well as the importance of this transform in the analysis of linear shift-invariant systems. In chapter 8 the characteristics of various types of linear filters are described. Their applications in various types of signal processing and recovery is discussed. Also discussed is the matched-filter problem and the various interpretations of the sampling theory.
Chapter 9 extends the previous material on one-dimensional systems to two dimensions. In particular, an investigation of convolution and Fourier transformation in two dimensions is conducted, and the Hankel transform and its properties are studied. Also, the line response and edge response functions are introduced. In chapter 10 the propagation and diffraction of optical wave fields in both the Fresnel and Fraunhofer regions is explored. Also studied are the effects of lenses on the diffraction process. Special attention is paid to the curious properties of Gaussian beams in the last section of the chapter.
Finally, in Chapter 11, the concepts of linear systems and Fourier analysis are combined with the theory of diffraction to describe the process of image formation in terms of a linear filtering operation. This is done for both coherent and incoherent imaging, and the corresponding impulse response functions and and transfer functions are discussed in detail.
Several special functions are tabulated in the first appendix for those with little or no previous training in optics, and the fundamentals of geometrical image formation and abberations are presented in the second appendix.
Lifesaver.......2000-09-10
If you want to survive a first year graduate class on Fourier Optics, get this book. Gaskill is precise and comprehensive, presenting concepts incrementally with ample diagrams to illustrate all along the way. I've got Goodman and Bracewell on my shelf, but it's Gaskill's that's saving my life this semester.
Well written and complete.......2000-04-29
I consider Gaskill's book to be the best I've seen for advanced undergraduate and first-year graduate classes on linear systems. Gaskill approaches the subject in a clear and understandable style while dealing with the subject in a complete and quantitative manner. Though he does not eschew mathematical rigor by any means, the text is well written and logically formatted, making it refreshingly easy to follow what is, in other texts, a more difficult subject. Though I've filed Gaskill's book in my library alongside other dealing with optics, this is primarily a book on mathematics, but written more for engineers and scientists than for mathematicians.
After a brief introduction, the author begins (in chapter 2) with a quick summary of mathematical concepts, including classes of functions, one and two-dimensional functions, complex numbers, phasors, and the scalar wave equation.
The third chapter introduces useful functions (many of a discontinuous nature) that find application in modeling linear systems. These include step functions and the impulse function in both one and two dimensions. Development of these functions follows an intuitive path that reflects the way in which they are often used. The many figures are particularly useful in conveying concepts more effectively.
Chapter four develops the theme of harmonic analysis by introducing the notion of orthogonal expansions and extending this development to the Fourier series, leading to development of the Fourier integral. The chapter finishes with some worked examples showing the spectra of simple functions. Chapter 7 seems a little out of place, since it deals with the Fourier transform, yet appears in the book several chapters later, after the author introduces the concepts of linear systems and the convolution.
Though one of the shorter chapters, chapter five is pivotal, and develops the idea of mathematical operators and physical systems - with the crucial development of the impulse response. The application of the impulse response is extended by chapter 6, which develops the mathematics of convolution. For a linear, shift-invariant system the impulse response convolved with the input to the system gives the system's output.
Chapter 8 pulls together the material in the previous chapters to mathematically describe the characteristics and applications of linear filters. Examples include amplitude filters, phase filters, combination amplitude and phase filters, and some interesting applications showing (for example) how to filter the noise from a signal of interest. All this development is strictly mathematical, with no real-world worked examples (except in the abstract). Nevertheless, this chapter is very useful and (in the author's style) easy to understand and follow.
Chapter 9 deals with two-dimensional convolutions and the two-dimensional Fourier transform. This chapter is essentially an extension of the earlier one-dimensional developments in earlier chapters, but introduces some useful mathematical tools, including the convolution and Fourier transform in polar coordinates. The Hankel transform, developed in this chapter, is particularly useful for work in optics where many examples (laser beams, for instance) exhibit circular symmetry. In these examples the two-dimensional integrals may be greatly simplified by the Hankel transform to a one-dimensional form where (even in the absence of a closed-form equation) they are far more tractable. The chapter concludes with useful tables of common transforms.
Chapter 10 leaves the almost purely mathematical forum of the previous chapters by introducing the subject of propagation and diffraction of optical waves. Gaskill first develops the mathematics of the optical waves and then derives the equations that show how these waves are diffracted. Not surprisingly, the diffraction fields are expressible in terms of the transforms developed earlier in the book. The chapter also describes the influence of optical lenses on the diffraction patterns and the very important subject of propagation of Gaussian beams (since many laser beams, and the fundamental mode in weakly guiding optical fibers have Gaussian profiles).
Chapter 11 continues the optical theme by explaining image-forming systems. The student will be particularly enabled in this chapter if he or she has had prior exposure to the subject of diffraction and perhaps some exposure to the idea of image aberrations. The book ends with appendix 1, on special functions, and appendix 2, on elementary geometric optics. Each chapter has a list of references, and problems for the student, and the book has a complete index making it useful as a desk references book as well as a textbook for advanced undergraduate and first-year graduate coursework.
Gaskill's book is mathematically intense, but the author's style and frequent use of figures makes the book surprisingly easy to read. Prerequisites for this book should include a couple of years of calculus, differential equations, and a smattering of linear algebra. Some exposure to concepts in optics, including diffraction and aberrations would also be helpful.
Gaskill's book will be helpful far beyond optics, with applications in electrical engineering, mechanical engineering, digital image processing, or anywhere else that linear systems might be encountered.
The best, practical book for this subject........1998-12-26
Jack Gaskill and his book is the most practical book on this subject. His examples and explainations are straightforeword and organized.
Book Description
Published by McGraw-Hill since its first edition in 1941, this classic text is an introduction to Fourier series and their applications to boundary value problems in partial differential equations of engineering and physics. It will primarily be used by students with a background in ordinary differential equations and advanced calculus. There are two main objectives of this text. The first is to introduce the concept of orthogonal sets of functions and representations of arbitrary functions in series of functions from such sets. The second is a clear presentation of the classical method of separation of variables used in solving boundary value problems with the aid of those representations.
Customer Reviews:
excellent textbook.......2007-05-03
If you are an advanced undergraduate student or a begining graduate student and want to learn not only the concepts behind Fourier Series but see how it can be applied to boundary value problems of mathematical physics, then this is "the" book you should read. It is well written - easy to understand and illustrated with lots of examples.
Book Description
A new, revised edition of a yet unrivaled work on frequency domain analysis
Long recognized for his unique focus on frequency domain methods for the analysis of time series data as well as for his applied, easy-to-understand approach, Peter Bloomfield brings his well-known 1976 work thoroughly up to date. With a minimum of mathematics and an engaging, highly rewarding style, Bloomfield provides in-depth discussions of harmonic regression, harmonic analysis, complex demodulation, and spectrum analysis. All methods are clearly illustrated using examples of specific data sets, while ample exercises acquaint readers with Fourier analysis and its applications. The Second Edition:
- Devotes an entire chapter to complex demodulation
- Treats harmonic regression in two separate chapters
- Features a more succinct discussion of the fast Fourier transform
- Uses S-PLUS commands (replacing FORTRAN) to accommodate programming needs and graphic flexibility
- Includes Web addresses for all time series data used in the examples
An invaluable reference for statisticians seeking to expand their understanding of frequency domain methods, Fourier Analysis of Time Series, Second Edition also provides easy access to sophisticated statistical tools for scientists and professionals in such areas as atmospheric science, oceanography, climatology, and biology.
Customer Reviews:
nice beginning treatment of frequency domain time series.......2001-07-01
As a time series analyst who studied time series in graduate school when the first edition of Bloomfield's book came out, I really appreciated it. The frequency approach to time series is not natural because we tend to look at the series to see how it changes (fluctuates) over time. This makes the time domain approach very natural. It is only when one sees periodicity in the series and can relate the series to a summation of sine and cosine waves that the frequency domain ideas get appreciated.
Bloomfield introduces Fourier series in a gentle way, making it clear. Concepts are introduced as needed to deal with specific aspects of real time series data. I particularly liked his treatment of complex demodulation, which could be a very difficult concept to grasp if not presented carefully. But Bloomfield explains it well and provides another way to look at the famous Wolfer sunspot data using an approach based on complex demodulation (assuming a slowly changing period for the series).
Book Description
This book presents current theories of diffraction, imaging, and related topics based on Fourier analysis and synthesis techniques, which are essential for understanding, analyzing, and synthesizing modern imaging, optical communications and networking, as well as micro/nano systems. Applications covered include tomography; magnetic resonance imaging; synthetic aperture radar (SAR) and interferometric SAR; optical communications and networking devices; computer-generated holograms and analog holograms; and wireless systems using EM waves.
Book Description
This book is a self-contained introduction to Laplace Transforms and Fourier Series; emphasising the applications of Laplace transforms throughout, the book also provides coverage of the underlying pure mathematical structures. Alongside the Laplace transform, the notion of Fourier series is developed from first principles. Exercises are provided to consolidate understanding of the concepts and techniques, and only a knowledge of elementary calculus and trigonometry is assumed. For second and third year students looking for a rigorous and practical introduction to the subject, this book will be an invaluable source.
Customer Reviews:
excellent text.......2005-09-20
This is an ideal introduction for mathematicians and applied scientists. Written in an easy to understand style and full of good relevant examples. I guess only the more mathematical will be able to digest the last chapter.
All exercises have not only answers but solutions which students will appreciate.
Clearly written introduction.......2000-01-02
This textbook tries to strike a balance between the "toolkit" (how to use it) approach (supposedly) desired by engineers and the more rigorous mathematician's development. Speaking as an engineer, I found it not as intuitive as I had hoped (I'm more mathematically-oriented than most engineers) However, the book is clearly written and develops the arguments in small steps. Recommend it as helpful, but perhaps supplemented by more careful development.
Books:
- Barbaro: The Horse Who Captured America's Heart
- Basic Business Statistics: Concepts and Applications and CD package (10th Edition)
- Beyond Supernature: A New Natural History of the Supernatural
- Biology of Humans: Concepts, Applications, and Issues (The Human Biology Place Series)
- Business Dynamics: Systems Thinking and Modeling for a Complex World with CD-ROM
- Color Atlas of Cancer Cytology
- Combinatorial Optimization
- Conflict Diagnosis and Alternative Dispute Resolution
- Crystallization Technology Handbook
- Design and Analysis of Clinical Trials: Concepts and Methodologies (Wiley Series in Probability and Statistics)
Books Index
Books Home
Recommended Books
- Words of Wisdom: Daily Affirmations of Faith
- The Tao of Power
- The Lecturer's Tale: A Novel
- The Complete Guide to Traditional Native American Beadwork: A Definitive Study of Authentic Tools, M
- The Complete Stories of Robert Louis Stevenson: Strange Case of Dr. Jekyll and Mr. Hyde and Nineteen
- Structural Equation Modeling With AMOS: Basic Concepts, Applications, and Programming
- The Mandala of Being: Discovering the Power of Awareness
- House in the Sun: A Natural History of the Sonoran Desert
- Seven Months Deep
- Ed Gooding: Soldier, Texas Ranger
Advanced Engineering Mathematics (2nd Edition)
Partial Differential Equations for Scientists and Engineers (Dover Books on Advanced Mathematics)
Introduction to Electrodynamics (3rd Edition)
Schaum's Outline of Partial Differential Equations (Schaum's)
The Analysis and Design of Linear Circuits
