Advanced Engineering Mathematics / Edition 10

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Overview

The tenth edition of this bestselling text includes examples in more detail and more applied exercises; both changes are aimed at making the material more relevant and accessible to readers. Kreyszig introduces engineers and computer scientists to advanced math topics as they relate to practical problems. It goes into the following topics at great depth differential equations, partial differential equations, Fourier analysis, vector analysis, complex analysis, and linear algebra/differential equations.
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Product Details

  • ISBN-13: 9780470458365
  • Publisher: Wiley, John & Sons, Incorporated
  • Publication date: 12/8/2010
  • Edition number: 10
  • Pages: 1264
  • Sales rank: 226,730
  • Product dimensions: 8.40 (w) x 10.10 (h) x 1.90 (d)

Table of Contents

P A R T A Ordinary Differential Equations (ODEs) 1

CHAPTER 1 First-Order ODEs 2

CHAPTER 2 Second-Order Linear ODEs 46

CHAPTER 3 Higher Order Linear ODEs 105

CHAPTER 4 Systems of ODEs. Phase Plane. Qualitative Methods 124

CHAPTER 5 Series Solutions of ODEs. Special Functions 167

CHAPTER 6 Laplace Transforms 203

P A R T B Linear Algebra. Vector Calculus 255

CHAPTER 7 Linear Algebra: Matrices, Vectors, Determinants. Linear Systems 256

CHAPTER 8 Linear Algebra: Matrix Eigenvalue Problems 322

CHAPTER 9 Vector Differential Calculus. Grad, Div, Curl 354

CHAPTER 10 Vector Integral Calculus. Integral Theorems 413

P A R T C Fourier Analysis. Partial Differential Equations (PDEs) 473

CHAPTER 11 Fourier Analysis 474

CHAPTER 12 Partial Differential Equations (PDEs) 540

P A R T D Complex Analysis 607

CHAPTER 13 Complex Numbers and Functions. Complex Differentiation 608

CHAPTER 14 Complex Integration 643

CHAPTER 15 Power Series, Taylor Series 671

CHAPTER 16 Laurent Series. Residue Integration 708

CHAPTER 17 Conformal Mapping 736

P A R T E Numeric Analysis 787

Software 788

CHAPTER 19 Numerics in General 790

CHAPTER 20 Numeric Linear Algebra 844

CHAPTER 21 Numerics for ODEs and PDEs 900

P A R T F Optimization, Graphs 949

CHAPTER 22 Unconstrained Optimization. Linear Programming 950

CHAPTER 23 Graphs. Combinatorial Optimization 970

CHAPTER 24 Data Analysis. Probability Theory 1011

CHAPTER 25 Mathematical Statistics 1063

APPENDIX 1 References A1

APPENDIX 2 Answers to Odd-Numbered Problems A4

APPENDIX 3 Auxiliary Material A63

APPENDIX 4 Additional Proofs A77

APPENDIX 5 Tables A97

INDEX I1

PHOTO CREDITS P1 

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Customer Reviews

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Sort by: Showing all of 14 Customer Reviews
  • Anonymous

    Posted April 16, 2006

    EE student at City College NY

    This book is a great mathematical resource, covering most if not all the areas required to be able to mathematically master problems in engineering. If you have a fair understanding of all the material in this book, you will handle any engineering problem thrown at you. The only thing it lacks is more applied math excercise problems, but if you like pure mathematics then you won't have a problem. The book is definitely not a substitute for a good math professor, and you won,t get much if you have not completed at least calculus III, hence the name 'Advanced Engineering Mathematics.' I appreciated it more when I started taking courses in differential equations and vector analysis. Some of the topics in the book were not even covered by the professor. You will also have to get accustomed to the authors directness when attacking a topic. Then again, if the book were written any more in depth it would probably be 3000 pages long. To sum it all up the book is a great mathematical reference and a great book to learn the mathematical tools required for the field of engineering.

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  • Anonymous

    Posted March 31, 2004

    Poor And Void Of Study (Reading) Material.

    This text book is well written for the purpose of a modern 'format'; a way to present again previous written text book for this subject. The emphasis is on 'do' this and get 'answer', and lacking text written to know the meaning and how and when to use the mathematic for solving engineering and science situation; in university or work. It is most suited for universities and colleges that have a syllabus for merely providing grades for completion of Calculus III or Higher Mathematic for Science and Engineering. Just another text book among many, should be shelved.

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  • Anonymous

    Posted April 14, 2004

    Great reference text

    This book is a fabulous reference! The information is very comprehensive and is presented in a straighforward way. Just about anything you might want to know is in here.

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  • Anonymous

    Posted December 18, 2003

    Very useful companion book

    Even though the manual does not cover every solution, it does give the mechanism to solve the adjacent problems. It is very useful as a parallel method to help describe the text in a more detail. Very useful, I could not have fully understood some of the text with out the additional examples this gave.

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  • Anonymous

    Posted November 8, 2003

    Worst solution Manual I have ever seen!!!

    The book was not written to help students, rather I doubt whether the book was written to prove that the author is dealing with a tough book

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  • Anonymous

    Posted September 22, 2003

    no solutions provided

    there are about 3 solutions per section. if you make the math: there are about 30 problems per section => this book just steals your money. it is not worth it, buy another book that might help, this is just not what you want to buy

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  • Anonymous

    Posted August 28, 2003

    Great Material: But You need Hard work

    I used Kreyszig's book in college(93-96) and it was tremendous resource. I do agree that it may not be the best teaching resource (I used K. Stroud's Engineering Maths and Further Engineering Maths too). But if you've time to spare, you'll become a master of the terrain with this book. Its an excellent resource for all Engineering Students

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  • Anonymous

    Posted May 14, 2002

    An excellent book for engineers

    I read the other reviews and decided I had to add my 2 cents. I'm not sure which book the other guys were reading, but I think it was excellent. I used it in a 1 semester engineering math course and we covered 12 of the 23 chapters, including ODE's, PDE's, Linear Algebra, and Statistics. There are ample example problems that are worked out in detail in most chapters. I got little out of my professors classes and had to rely on teaching myself the material from the book. I would recommend it to anyone who wants to bone up on their math by themselves. I also bought the students solution manual, which on average contains about 3 solved problems per chapter section. I found it to be of some, although limited help.

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  • Anonymous

    Posted November 29, 2001

    Amazing!

    This book provides the optimum detail required for most intermediate math courses. I have used it for four courses till date. It has been an invaluable text for reference purposes. The consise explanation of the basic concepts is the main attraction of this book.

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  • Anonymous

    Posted December 16, 2001

    Hurts, not helps

    This book shows how to do everything in the most formal way possible that no student can possibly understand. There is a lack of useful examples, and the ones that are provided are hard to follow anyways. This book does not teach the student anything, and what ever the student does pick up is through pure memorizing the method to solve, no understanding can possibly come from this book.

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  • Anonymous

    Posted May 28, 2001

    Presents but Doesn't Teach the Material

    This is not a teaching text. It is a good reference if you want to be able to find a lot of standard formulas in one place, but this text does little to help the student. I used it in a class and was saved by the fact that we had a superb professor who basically generated his own material.

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  • Anonymous

    Posted February 5, 2001

    Good as a reference but not as a learning tool

    I used this book for a second year engineering course in differential equations. I found this book extremely difficult to use due to the lack of plain english examples and explanations. It is chock full of information though, it's good as a reference. The majority of my class felt the same way about this book.

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  • Anonymous

    Posted April 21, 2000

    Superb !

    I believe that this book is the best math book I have read for teaching applied math topics. I have read much of the material on my own, and I have to say it is the most accessible book for that purpose I have ever read. The examples simple, yet instructive. The explanations are short, yet wonderful. The breadth of topics is great. I found that I have 'learned' the most from this text. The only shortcoming I can see is the lack of basic group theory, but this is probably best suited for a math physics text rather than an engineering text. Overall, superb!

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  • Anonymous

    Posted February 20, 2010

    No text was provided for this review.

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