Average customer rating:
- As a textbook?
- Chech out paper back international edition. Cheeper and same contents.
- Numerical Methods made easy
- A excellent book ruined by clutter
- Excellent Reference for Numerical Algorithms Programming
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Numerical Methods for Engineers: With Software and Programming Applications
Steven C. Chapra , and
Raymond Canale
Manufacturer: McGraw-Hill Science/Engineering/Math
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ASIN: 0072431938 |
Book Description
*Retaining its comprehensive yet accessible and user-friendly style, this edition incorporates new examples and techniques *Includes excellent applications sections with a variety of engineering problems *contains software-based examples and engineering-oriented problems
Customer Reviews:
As a textbook?.......2006-10-26
I've noticed several reviewers have benifited from this book as a reference for algorithms in specific topics, which is something the book is really good at in my opinion.
However, we studied the book as a junior level textbook in numerical methods and went into many problems in doing so. Although the motiviation is well, the presentation is not. For example, the parts on Fourier Approximation (Chapter 19), and Finite Difference: Elliptic Equations (Chapter 29) really do require good background knowledge on behalf of the reader, and the authors sometimes rush into the approximation techniques with hardly any explination of the underlying logic.
For undergraduate students, I don't believe this book is good for self-teaching. More elaboration is needed in the derivations of the nemurical techniques, and without that, many of us were lost when it came to homeworks and computer projects.
On the bright side, The graphs are excellent , and the book covers a very wide range of topics and presents many codes and worked out examples.
Chech out paper back international edition. Cheeper and same contents........2006-08-16
Type in search the authers name, Steven C. Chapra, and it will give a list of the books by him. you get the same edition but international in english same figures everything.
Numerical Methods made easy.......2006-02-11
I bought this book a little while ago to get more familiar with interpolation which I need to use in some of the signal analysis software that I write. As I was reading through the book I suddenly realized the overall usefulness of numerical methods in general. It has helped me code up routines for solving matrices and interpolation algorithms. After reading this book I really can not understand how courses in linear algebra and differential equations can be taught without extensive use of numerical methods.
This book has really opened my eyes to a whole new way of solving engineering problems.
Andy (andys@d2d.com)
A excellent book ruined by clutter.......2006-02-05
The basic content of the book is excellent. However, in trying to cover different packages and/or languages the book loses its charm.
This book is a glaring example of how an otherwise excellent textbook can be ruined by clutter. If the authors had stayed with Fortran/C or Matlab (but not both) and provided more of ready made programs or subroutines, it would be a lot more useful.
Excellent Reference for Numerical Algorithms Programming.......2006-02-01
If you are a programmer who must work with calculation intensive algorithms, you will need a book such as this. The chapters are well written and cover many subjects which are easily forgotten when not used often. The section explaining the difference between precision and accuracy is quite good.
Also worthy of personal praise is the suggestion that piecemeal cubic spline approximations more accurately reflect abrupt (zonal) shifts in the data, better than do higher order polynomical approximations.
The book seems to cover most of the subjects that a non-specialist programmer might need, when confronted with a numerical methods prospect. Topics include: matrix reduction, numerical differentiation and integration, truncated series approximations, curve fitting and fast fourier transforms to name a few. It also deals extensively with the nitty-gritty of computing, from bits, bytes and numerical representations; to MatLab, MathCAD, and Fortran.
Book Description
Master differential equations and succeed in your course with A FIRST COURSE IN DIFFERENTIAL EQUATIONS WITH MODELING APPLICATIONS with accompanying CD-ROM and technology! Straightfoward and readable, this mathematics text provides you with tools such as examples, explanations, definitions, and applications designed to help you succeed. The accompanying DE Tools CD-ROM makes helps you master difficult concepts through twenty-one demonstration tools such as Project Tools and Text Tools. Studying is made easy with iLrn® Tutorial, a text-specific, interactive tutorial software program that gives the practice you need to succeed.
Customer Reviews:
good stuff.......2007-08-24
the picture for this ad didn't match the cover of the book so i took a chance in buying it, because the isbn numbers matched. the book was correct and the time and condition in which it was recieved was great
Way under rated!!.......2007-05-27
I'm not sure why everyone thinks this book isn't any good. I bought this book for my differential equations class, and thought it was great! I found that the strong point in this book is that the author actually goes through and explains the concept in great detail before any examples are given (unlike most math text, including DEQ books). It helped me a lot because once the author got to an example I felt like I understood what was going on instead of having to go through the example two or three times before I had any idea about the theory involved in the topic. I also found the homework problems to be extremely well planned--almost every problem ended in a tidy compact solution (with the exception of the series solutions to the ODEs which were not nice at all).
I give the book only four stars because of two weaknesses: 1) the derivations of some of the formulas are a bit vague (I had a good time going throw and filling in missing steps and/or writing alternative derivations in the ridiculously large margins of the text) and 2) the RCL circuit was not explained well enough to be workable (I took electromagnetism the same semester and my physics teacher openly mocked the explanation of the RCL circuit in this book).
Overall, I thought this book was great and I was very happy with it. Maybe not the best book if you're trying to learn physics concepts, but it's a math class what do expect?
looking for other introductory DE books? .......2007-04-29
I used an earlier version of Zill years ago to get through my DE course. It was much better than the required text by Boyce/Diprima (a book to be avoided like the plague).
I've listed most, if not all, of the available introductory DE books in my review of Boyce. Link to it: Elementary Differential Equations and Boundary Value Problems , 8th Edition, with ODE Architect CD
Do not blame the book. .......2007-02-06
Do not listen to the bad reviews. This is an excellent text for engineer types. People forget their calc 2 and they blame the book and/or the instructor. You will need int. by parts and partial fractions right of the bat.
I covered about 8 sections of DE's in my calc book during calc 2&3. Most students in the US cover some DE's during calc. The material in the first 2 chapters should be review for most of you. I never got stuck when learning the material, very smooth and intuitive explanations. The only time I needed extra help was during section 5.5 eigenvalues, completely different that presented in a linear algebra class, and during Bessel functions.
The electric circuit problems were great. Zill should add some finance problems, as their are none in the book. Also, this book has great drawings which you will appreciate during the multi-tank mixture problems. As a comparison the Ross DE book has great explanations and prose but no picture for the complicated mixture problems.
This class was not as tough as I thought it would be, the second half of calc3 was tougher. Zill DE 8th edition has all you will need to enjoy this fun and interesting course.
Zill's book is just as good as any other. If you want old school math major explanations, no modern pictures, check out Shepley L. Ross.
Do not blame others for your own shortcomings.
ZERO stars.......2007-02-01
Let me start out by saying I was really looking foward to this class... As a math major, I understand the significance of diffeq. I enjoy math, so this isn't a "I hate math rant." But now, I just can't wait for the quarter to end so I can throw this piece of crap in the trash... I'm not re-selling it because I was taught it is not nice to rip people off. Something the publisher and the author obviously have no problem doing to students. Our teacher recommended the book by Boyce/DiPrima, but I guess the school folded under the pressure and glitter the publisher no doubt used to get the sale.
The "book" starts out "the now classic 7th edition..." Yeah, right. Go ahead and pat yourself on the back, Denny ole boy. Any florid reviews of this "book" HAVE to have come from the publisher, as no student in his/her right mind would buy this "book" unless they HAD TO. First, the explanation of the subject is the WORST I have ever seen (and I HAVE seen others, just a little too late); I would advise not wasting your money on this "book" at all. Just get the Schaum's outline and whatever the library has on the subject and copy your homework problems from someone who made the mistake of buying this "book," or check out the reserve copy in your library. You won't miss anything, trust me.
Another review here said the explanation of Fourier transforms was explained as "like differentiation but different." Check. In fact, most all of the explanations are like that. The first chapter also requires that you be able to compose diffeqs, which is ridiculous since this is supposed to be a "first course." It would still suck if it said "refresher course!" I am lucky to have a good teacher, but even so, I am still stuck trying to slog through this horrible "book" once I get home. I spent more time trying to find a decent explanation just to do the homework, which is consequently, how I found out how bad this "book" is compared to others.
If you read this Dennis Zill, just please quit writing textbooks; you have done enough damage with this trash already.
Book Description
This introduction to dynamical systems theory treats both discrete dynamical systems and continuous systems. Driven by numerous examples from a broad range of disciplines and requiring only knowledge of ordinary differential equations, the text emphasizes applications and simulation utilizing MATLAB®, Simulink®, and the Symbolic Math toolbox.
Beginning with a tutorial guide to MATLAB®, the text thereafter is divided into two main areas. In Part I, both real and complex discrete dynamical systems are considered, with examples presented from population dynamics, nonlinear optics, and materials science. Part II includes examples from mechanical systems, chemical kinetics, electric circuits, economics, population dynamics, epidemiology, and neural networks. Common themes such as bifurcation, bistability, chaos, fractals, instability, multistability, periodicity, and quasiperiodicity run through several chapters. Chaos control and multifractal theories are also included along with an example of chaos synchronization. Some material deals with cutting-edge published research articles and provides a useful resource for open problems in nonlinear dynamical systems.
Approximately 330 illustrations, over 300 examples, and exercises with solutions play a key role in the presentation. Over 60 MATLAB® program files and Simulink® model files are listed throughout the text; these files may also be downloaded from the Internet at: http://www.mathworks.com/matlabcentral/fileexchange/. Additional applications and further links of interest are also available at the author's website.
The hands-on approach of
Dynamical Systems with Applications using MATLAB® engages a wide audience of senior undergraduate and graduate students, applied mathematicians, engineers, and working scientists in various areas of the natural sciences.
Reviews of the author’s published book
Dynamical Systems with Applications using Maple®:
"The text treats a remarkable spectrum of topics…and has a little for everyone. It can serve as an introduction to many of the topics of dynamical systems, and will help even the most jaded reader, such as this reviewer, enjoy some of the interactive aspects of studying dynamics using Maple®." – U.K. Nonlinear News
"…will provide a solid basis for both research and education in nonlinear dynamical systems." – The Maple Reporter
Book Description
Scientific Computing and Differential Equations: An Introduction to Numerical Methods, is an excellent complement to Introduction to Numerical Methods by Ortega and Poole. The book emphasizes the importance of solving differential equations on a computer, which comprises a large part of what has come to be called scientific computing. It reviews modern scientific computing, outlines its applications, and places the subject in a larger context.
This book is appropriate for upper undergraduate courses in mathematics, electrical engineering, and computer science; it is also well-suited to serve as a textbook for numerical differential equations courses at the graduate level.
* An introductory chapter gives an overview of scientific computing, indicating its important role in solving differential equations, and placing the subject in the larger environment
* Contains an introduction to numerical methods for both ordinary and partial differential equations
* Concentrates on ordinary differential equations, especially boundary-value problems
* Contains most of the main topics for a first course in numerical methods, and can serve as a text for this course
* Uses material for junior/senior level undergraduate courses in math and computer science plus material for numerical differential equations courses for engineering/science students at the graduate level
Customer Reviews:
Does the job well.......2001-06-30
This book is an excellent introduction to the field of scientific computing and serves well as a textbook, given the many exercises included in it. Although the software packages quoted in the book have been considerably revised since the time of publication of the book, one can still use it effectively as a guide to the construction of algorithms and software for scientific applications. The level of the book makes it suitable for a course in numerical analysis at the advanced undergraduate level. After a brief review of the concepts and strategies employed in mathematical modeling in chapter 1, the author begins in chapter 2 with the study of initial value problems for ordinary differential equations. He motivates the discussion with the predator-prey problem from mathematical biology and the ballistic trajectory problem with air resistance from physics. The initial-value problem for the general case of systems of ordinary differential equations is then solved using finite difference methods. The author treats thoroughly Euler's method along with its discretization error. Recognizing that first-order methods have very slow rates of convergence, Runge-Kutta methods are discussed next to alleviate this problem. The Heun method, fourth-order method, and more general one-step methods are discussed in detail. The sample initial value problems are then treated using some of these techniques. The technique of polynomial interpolation, so popular as a solution technique in high-level symbolic programming languages such as Mathematica, is discussed in this chapter also. Multistep methods, such as the Adams-Bashforth, Adams-Moulton, and predictor-corrector methods are treated also. The author also discusses the important concept of stability in this chapter. Although he does not give a rigorous definition of stability, due to the mathematical formalism needed for such a definition, he does give several examples of differential equations that are not stable, and also examples of instabilities in the actual numerical methods employed.
Boundary value problems for ordinary differential equations are treated in the next chapter. The author motivates the problem via a two-point boundary value problem, but only concentrates on linear boundary value problems in this chapter, with the nonlinear case treated in chapter 5. The author carefully distinguishes between Dirichlet and Neumann boundary conditions. The solution of the discretized problem is solved appropriately with Gaussian elimination, and the author gives a numerical example. The case of periodic boundary conditions is also treated, and the author chooses to solve the resulting linear system using the Sherman-Morrison technique, instead of Gaussian elimination, arguing (correctly) that this method only needs code for solving tridiagonal matrices.
The study of the solution of linear systems of equations is taken up in more detail in the next chapter, with emphasis on solution techniques for banded or full matrices. The class of least square problems is treated first, with least square polynomials and their calculation using orthogonal polynomials. The author then treats Gaussian elimination in more detail in this chapter, with treatments of LU factorization and banded matrices being treated. The author gives the reader more details on the performance issues involved in the different solution techniques. Ill-conditioning and error analysis are first discussed here in the context of solution of systems of linear equations, along with definitions and calculations of condition numbers. The author also gives good overviews of alternative factorization techniques, such as Cholesky and QR factorization.
The most important application of numerical methods is in the class of nonlinear problems, since these usually do not have analytical solutions. Even if analytical solutions are found in terms of special functions, the calculation of these special functions typically must be done using techniques from numerical analysis. Nonlinear problems are discussed in chapter 5 of this book, wherein the author again uses the projectile problem to introduce shooting methods. This is followed by a very detailed discussion of the solution of a nonlinear equation using bisection, secant, and Newton's methods. Systems of nonlinear equations are then discussed, with the infamous Picard iteration technique leading the discussion, followed again by a treatment using Newton's method.
Then in the next chapter, the author switches gears somewhat by moving away from techniques based on finite differences and discussing ones such as finite element, Galerkin's and Rayleigh-Ritz methods. The mathematical considerations employed in this chapter are a little more involved than the other chapters, but the author explains the ideas well, and the assigned exercises shed more light on the issues involved. Spine approximations are also discussed, along with the numerical evaluation of the integrals that naturally arise in Galerkin methods.
Eigenvalue problems, so ubiquitous in all areas of science and engineering, are the subject of the next chapter. Interestingly, the author discusses Gerschgorin's theorem, which usually does not appear in a book at this level. Most of the popular techniques for solving eigenvalue problems, such as QR and iterative methods, are discussed thoroughly.
The author gives the reader a taste of the numerical solution of partial differential equations starting in the next chapter, where the heat equation, wave equation, and Poisson's equation lead off the discussion. Separation of variables is discussed briefly as a technique of solution, but the author places emphasis first on finite difference methods for solving these equations. The stability and error analysis of these methods are first studied for the heat and wave equations, and this is followed by a discussion of implicit methods, with a brief treatment given of the Crank-Nicolson method. After a discussion of semi-discrete methods, the author then moves on in last chapter to problems in dimensions two and three. The sparse matrices arising from the discretization of the problems are shown for the Poisson and heat equations. The ADI method, along with Gaussian elimination, Jacobi's, Gauss-Seidel, SOR, and conjugate gradient methods are all given fine treatments.
Book Description
This is a short, focused introduction to MATLAB, a comprehensive software system for mathematical and technical computing. It contains concise explanations of essential MATLAB commands, as well easily understood instructions for using MATLAB's programming features, graphical capabilities, simulation models, and rich desktop interface. Written for MATLAB 7 it can also be used with earlier (and later) versions of MATLAB.This book teaches how to graph functions, solve equations, manipulate images, and much more. It contains explicit instructions for using MATLAB's companion software, Simulink, which allows graphical models to be built for dynamical systems. MATLAB's new "publish" feature is discussed, which allows mathematical computations to be combined with text and graphics, to produce polished, integrated, interactive documents.
Download Description
This book is a short, focused introduction to MATLAB, a comprehensive software system for mathematics and technical computing. It should be useful to both beginning and experienced users. It contains concise explanations of essential MATLAB commands, as well as easily understood instructions for using MATLAB's programming features, graphical capabilities, and desktop interface. It also includes an introduction to SIMULINK, a companion to MATLAB for system simulation. Written for MATLAB 6, this book can also be used with earlier (and later) versions of MATLAB. This book contains worked-out examples of applications of MATLAB to interesting problems in mathematics, engineering, economics, and physics. In addition, it contains explicit instructions for using MATLAB's Microsoft Word interface to produce polished, integrated, interactive documents for reports, presentations, or on-line publishing. This book explains everything you need to know to begin using MATLAB to do all these things and more. Intermediate and advanced users will find useful information here, especially if they are making the switch to MATLAB 6 from an earlier version.
Customer Reviews:
can be used for most versions of Matlab.......2007-01-28
[A review of the 2nd edition.]
The 2nd edition includes descriptions of Matlab 7. But in fact, much of the text seems unchanged from the 1st edition. Because while Matlab continues to add refinements, it is by now very stable in its core functionality. Thus, at least for beginners, the book is useful, regardless of which precise version of Matlab is on your machine.
Many of the examples are indeed quite easy. The underlying maths knowledge is at the undergraduate level. Say for 1st or 2nd year undergrad maths courses. One example uses Lagrange's equation in classical mechanics. That seems to be about as advanced as matters get.
The graphical capability of Matlab given by the book is equivalent to what Mathematica provides. Though perhaps the latter has somewhat spiffier graphics, the graphical functionality is about the same.
A no nonsense introduction to Matlab 5/6.......2003-05-20
This book is more of an introduction to Matlab 6 than 5.It claims to cater both beginners and advanced users.I use Matlab 6 for my research in Communication and Signal processing.Having worked on Matlab 4 , I doubt whether it can be a serious introduction to advanced users.The material is fairly concise and easy to read.All examples are simple and easy to implement straight away after a first reading.It covers almost all important sections to prepare you for any field you would like to work on with Matlab 6.
It has a full chapter on "Simulink" which is really nice having.The are bountiful examples and three practice sets.I would have loved to see a full section on " Files ".This is a drawback.Apart from some minor shortcomings this is a fairly good introductory book.
Book Description
Computational Methods for Electromagnetics is an indispensable resource for making efficient and accurate formulations for electromagnetics applications and their numerical treatment. Employing a unified coherent approach that is unmatched in the field, the authors detail both integral and differential equations using the method of moments and finite-element procedures. In addition, readers will gain a thorough understanding of numerical solution procedures.
Topics covered include:
- Two- and three-dimensional integral equation/method-of-moments formulations
- Open-region finite-element formulations based on the scalar and vector Helmholtz equations
- Finite difference time-domain methods
- Direct and iterative algorithms for the solutions of linear systems
- Error analysis and the convergence behavior of numerical results
- Radiation boundary conditions
- Acceleration methods for periodic Green's functions
- Vector finite elements
Detail is provided to enable the reader to implement concepts in software and, in addition, a collection of related computer programs are available via the Internet. Computational Methods for Electromagnetics is designed for graduate-level classroom use or self-study, and every chapter includes problems. It will also be of particular interest to engineers working in the aerospace, defense, telecommunications, wireless, electromagnetic compatibility, and electronic packaging industries.
Customer Reviews:
A great book for those with an existing background in EM.......2003-10-24
I used this book during my MSEE research and found it to be invaluable. While I also had the benefit of the principal author being my Advisor, this book easily stands by itself. This book describes several different methods and concepts in the computational analysis of EM problems, including issues related to computer optimization. It's somewhat dense in that the authors assume you already have a thorough knowledge of EM, so I wouldn't recommend it for beginners. If you work in the field, however, this book is a must-have.
Computational Methods for Electromagnetics.......2003-04-29
This is a specialist book - indispensable for those involved in computational electromagnetics. It gives a lucid and indepth treatment of a wide variety of computational EM problems and associated theory. It is packed full of appropriately placed references which are at the coalface of research in this area. A great book! Well done!
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.
Average customer rating:
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Global Behavior of Nonlinear Difference Equations of Higher Order with Applications (Mathematics and Its Applications)
V.L. Kocic , and
G. Ladas
Manufacturer: Springer
ProductGroup: Book
Binding: Hardcover
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ASIN: 079232286X |
Book Description
This volume presents a systematic study of the global behaviour of solutions of nonlinear scalar difference equations of order greater than one. Of particular interest are aspects such as global asymptotic stability, periodicity, permanence and persistence, and also semicycles of solutions. As well as exposing the reader to the very frontiers of the subject, important open problems are also formulated.
The book has six chapters. Chapter 1 presents an introduction to the subject and deals with preliminaries. Chapter 2 considers global stability results. Chapter 3 is devoted to rational recursive structures. Chapter 4 describes various applications. The topic of Chapter 5 is periodic cycles, and Chapter 6 discusses a number of open problems and conjectures involving interesting types of difference equations. Each chapter includes notes and references. The volume concludes with three appendices, a comprehensive bibliography, and name and subject indices.
For graduate students and researchers whose work involves difference and differential equations.
Book Description
This book is devoted to a rapidly developing branch of the qualitative theory of difference equations with or without delays. It presents the theory of oscillation of difference equations, exhibiting classical as well as very recent results in that area. While there are several books on difference equations and also on oscillation theory for ordinary differential equations, there is until now no book devoted solely to oscillation theory for difference equations. This book is filling the gap, and it can easily be used as an encyclopedia and reference tool for discrete oscillation theory.
In nine chapters, the book covers a wide range of subjects, including oscillation theory for second-order linear difference equations, systems of difference equations, half-linear difference equations, nonlinear difference equations, neutral difference equations, delay difference equations, and differential equations with piecewise constant arguments. This book summarizes almost 300 recent research papers and hence covers all aspects of discrete oscillation theory that have been discussed in recent journal articles. The presented theory is illustrated with 121 examples throughout the book. Each chapter concludes with a section that is devoted to notes and bibliographical and historical remarks.
The book is addressed to a wide audience of specialists such as mathematicians, engineers, biologists, and physicists. Besides serving as a reference tool for researchers in difference equations, this book can also be easily used as a textbook for undergraduate or graduate classes. It is written at a level easy to understand for college students who have had courses in calculus.
Average customer rating:
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Banach Algebras and the General Theory of *-Algebras (Encyclopedia of Mathematics and its Applications)
Theodore W. Palmer
Manufacturer: Cambridge University Press
ProductGroup: Book
Binding: Hardcover
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ASIN: 0521366372 |
Book Description
This is the first volume of a two volume set that provides a modern account of basic Banach algebra theory including all known results on general Banach *-algebras. This account emphasizes the role of *-algebraic structure and explores the algebraic results that underlie the theory of Banach algebras and *-algebras. The first volume, which contains previously unpublished results, is an independent, self-contained reference on Banach algebra theory. Each topic is treated in the maximum interesting generality within the framework of some class of complex algebras rather than topological algebras. Proofs are presented in complete detail at a level accessible to graduate students. The book contains a wealth of historical comments, background material, examples, particularly in noncommutative harmonic analysis, and an extensive bibliography. Volume II is forthcoming.
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