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Advanced Engineering Mathematics, Student Solutions Manual, 10th Edition

ISBN: 978-1-118-00740-2
264 pages
January 2012, ©2011
Advanced Engineering Mathematics, Student Solutions Manual, 10th Edition (1118007409) cover image
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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How to Use This Student Solutions Manual and Study Guide vii

Volume 1

PART A. ORDINARY DIFFERENTIAL EQUATIONS (ODEs) 1

Chapter 1. First-Order ODEs 1

Chapter 2. Second-Order Linear ODEs 13

Chapter 3. Higher Order Linear ODEs 36

Chapter 4. Systems of ODEs. Phase Plane. Qualitative Methods 45

Chapter 5. Series Solutions of ODEs. Special Functions 65

Chapter 6. Laplace Transforms 79

PART B. LINEAR ALGEBRA. VECTOR CALCULUS 107

Chapter 7. Linear Algebra: Matrices, Vectors, Determinants. Linear Systems 107

Chapter 8. Linear Algebra: Matrix Eigenvalue Problems 129

Chapter 9. Vector Differential Calculus. Grad, Div, Curl 145

Chapter 10. Vector Integral Calculus. Integral Theorems 169

PART C. FOURIER ANALYSIS. PARTIAL DIFFERENTIAL EQUATIONS (PDEs) 201

Chapter 11. Fourier Analysis 201

Chapter 12. Partial Differential Equations (PDEs) 232

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  • 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

 

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  • 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.
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