## Advanced Engineering Mathematics, 10th Edition

### Ernin Kreyszig

### ISBN: 9780470458365

### This book is being used at: University of Adelaide, University of Southern Queensland, Charles Darwin University

*Advanced Engineering Mathematics, 10th Edition* provides you with a comprehensive and up-to-date resource for learning engineering mathematics. Known for its comprehensive coverage, high level of accuracy and outstanding exercises, Kreyszig’s coverage of the content ensures that you will have all of the tools that you need to succeed in your course. This textbook will also serve as an excellent resource in future years for students studying engineering, physics, mathematics or computer science.

## Features

**Simplicity of Examples**: The text utilises well-written simple examples which are designed to be more instructive and more easily understood.**Uses Modern Standard Notation**: To help you with other courses, modern books, and mathematical and engineering journals.**Independence of Chapters**: To provide flexibility in tailoring courses to specific needs.**Self-Contained Presentation:**With the exception of a few clearly marked sections where a proof would exceed the level of the book, and a reference is given instead.

**PART A Ordinary Differential Equations (ODEs)**

1. First-Order ODEs

2. Second-Order Linear ODEs

3. Higher Order Linear ODEs

4. Systems of ODEs. Phase Plane. Qualitative Methods

5. Series Solutions of ODEs. Special Functions

6. Laplace Transforms

**PART B Linear Algebra. Vector Calculus**

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

8. Linear Algebra: Matrix Eigenvalue Problems

9. Vector Differential Calculus. Grad, Div, Curl

10. Vector Integral Calculus. Integral Theorems

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

11. Fourier Analysis

12. Partial Differential Equations (PDEs)

**PART D Complex Analysis **

13. Complex Numbers and Functions. Complex Differentiation

14. Complex Integration

15. Power Series, Taylor Series

16. Laurent Series. Residue Integration

17. Conformal Mapping

**PART E Numeric Analysis **

18. Software

19. Numerics in General

20. Numeric Linear Algebra

21. Numerics for ODEs and PDEs

**PART F Optimization, Graphs **

22. Unconstrained Optimization. Linear Programming

23. Graphs: Combinatorial Optimization

24. Data Analysis: Probability Theory

25. Mathematical Statistics

APPENDIX 1 References

APPENDIX 2 Answers to Odd-Numbered Problems

APPENDIX 3 Auxiliary Material

APPENDIX 4 Additional Proofs

APPENDIX 5 Tables

E-Text + WileyPLUS: 9781119368083

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Textbook: 9780470458365

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