
- 1,151 pages
- English
- PDF
- Available on iOS & Android
Advanced Engineering Mathematics
About this book
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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Key takeaways
Apply various methods, including series solutions and Laplace transforms, to solve ordinary differential equations and analyze systems of ODEs. Formulate and solve partial differential equations using techniques like Fourier analysis to model physical phenomena.
Utilize linear algebra concepts, such as matrices, determinants, and eigenvalue problems, to solve linear systems. Perform vector differential and integral calculus, and apply complex analysis techniques, including complex integration and residue theory, to engineering problems.
Implement numerical methods for linear algebra and differential equations to approximate solutions for complex problems. Apply optimization techniques, including linear programming, and graph theory to solve combinatorial and unconstrained optimization challenges.
Information
Table of contents
- Cover
- Title Page
- Copyright
- Preface
- Contents
- PART A Ordinary Differential Equations (ODEs)
- PART B Linear Algebra. Vector Calculus
- PART C Fourier Analysis. Partial Differential Equations (PDEs)
- PART D Complex Analysis
- PART E Numeric Analysis
- PART F Optimization, Graphs
- APPENDIX 1 References
- APPENDIX 2 Answers to Selected Problems
- APPENDIX 3 Auxiliary Material
- APPENDIX 4 Additional Proofs
- APPENDIX 5 Tables
- INDEX
- PHOTO CREDITS
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