Advanced Engineering Mathematics / Edition 10

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Overview

The content and character of mathematics needed in applications are changing rapidly. Introduces students of engineering, physics, mathematics and computer science to those areas that are vital to address practical problems. The Seventh Edition offers a self-contained treatment of ordinary differential equations, linear algebra, vector calculus, fourier analysis and partial differential equations, complex analysis, numerical methods, optimization and graphs, probability and statistics. New in this edition are: many sections rewritten to increase readability; problems have been revised and more closely related to examples; instructors manual quadrupled in content; improved balance between applications, algorithmic ideas and theory; reorganized differential equations and linear algebra sections; added and improved examples throughout.
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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: 343,745
  • Product dimensions: 8.40 (w) x 10.10 (h) x 1.90 (d)

Table of Contents

Ch. 1 First-order ODEs 2
Ch. 2 Second-order linear ODEs 45
Ch. 3 Higher order linear ODEs 105
Ch. 4 Systems of ODEs : phase plane : qualitative methods 124
Ch. 5 Series solutions of ODEs : special functions 166
Ch. 6 Laplace transforms 220
Ch. 7 Linear algebra : matrices, vectors, determinants : linear systems 272
Ch. 8 Linear algebra : matrix eigenvalue problems 333
Ch. 9 Vector differential calculus : grad, div, curl 364
Ch. 10 Vector integral calculus : integral theorems 420
Ch. 11 Fourier series, integrals, and transforms 478
Ch. 12 Partial differential equations (PDEs) 535
Ch. 13 Complex numbers and functions 602
Ch. 14 Complex integration 637
Ch. 15 Power series, Taylor series 664
Ch. 16 Laurent series : residue integration 701
Ch. 17 Conformal mapping 728
Ch. 18 Complex analysis and potential theory 749
Ch. 19 Numerics in general 780
Ch. 20 Numeric linear algebra 833
Ch. 21 Numerics for ODEs and PDEs 886
Ch. 22 Unconstrained optimization : linear programming 936
Ch. 23 Graphs : combinatorial optimization 954
Ch. 24 Data analysis : probability theory 993
Ch. 25 Mathematical statistics 1044
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Sort by: Showing 1 Customer Reviews
  • 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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