Advanced Engineering Mathematics, 10th Edition International Student Version

基本信息

Format:Paperback / softback 1152 pages

Publisher:John Wiley & Sons Inc

Imprint:John Wiley & Sons Inc

Edition:10th Edition International Student Version

ISBN:9780470646137

Published:27 Apr 2011

Weight:1944g

Dimensions:253 x 205 x 38 (mm)

页面参数仅供参考，具体以实物为准

书籍简介

This market-leading text is known for its comprehensive coverage, careful and correct mathematics, outstanding exercises, and self contained subject matter parts for maximum flexibility. The new edition continues with the tradition of providing instructors and students with a comprehensive and up-to-date resource for teaching and learning engineering mathematics, that is, applied mathematics for engineers and physicists, mathematicians and computer scientists, as well as members of other disciplines.

This edition can be accompanied with WileyPLUS 5.0, a powerful online teaching and learning environment that integrates the entire digital textbook with the most effective resources to fit every learning style.

NEW TO THIS EDITION

• Revised Problem Sets: This edition includes an extensive revision of the problem sets, making them even more effective, useful, and up-to-date.

• Chapter Introductions: These have also been rewritten to be more accessible and helpful to students.

• Rewrites: Some material has been rewritten specifically to better help students draw conclusions and tackle more advanced material.

• Chapter Revisions: Many of the chapters in this edition have been rewritten entirely. Some have had material added, including but not limited to:

• Introduction of Euler’s Method in section 1.2

• Partial Derivatives on a Surface in section 9.6

• Introduction to the Heat Equation in section 12.5

FEATURES

• Simplicity of Examples: To make the book teachable, why choose complicated examples when well-written simple ones are as instructive or even better?

• Independence of Chapters: To provide flexibility in tailoring courses to special needs.

• Self-Contained Presentation: Except for a few clearly marked places where a proof would exceed the level of the book and a reference is given instead.

• Modern Standard Notation: To help students with other courses, modern books, and mathematical and engineering journals.

目录

PART 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

PART 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

PART C Fourier Analysis. Partial Differential Equations (PDEs) 473

CHAPTER 11 Fourier Analysis 474

CHAPTER 12 Partial Differential Equations (PDEs) 540

PART 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 735

CHAPTER 18 Complex Analysis and Potential Theory 756

PART E Numeric Analysis 785

CHAPTER 19 Numerics in General 788

CHAPTER 20 Numeric Linear Algebra 841

CHAPTER 21 Numerics for ODEs and PDEs 897

PART F Optimization, Graphs 947

CHAPTER 22 Unconstrained Optimization. Linear Programming 948

CHAPTER 23 Graphs. Combinatorial Optimization 967

APPENDIX 1 References A1

APPENDIX 2 Answers to Selected Problems A4

APPENDIX 3 Auxiliary Material A51

APPENDIX 4 Additional Proofs A65

APPENDIX 5 Tables A85

INDEX I1

PHOTO CREDITS P1

作者简介

John M. Reynolds is the author of An Introduction to Applied and Environmental Geophysics, 2nd Edition, published by Wiley.