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.
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
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