 
Advanced Engineering Mathematics, 9th Edition
November 2005, ©2006
|
Contact a Wiley Sales Rep
Evaluation Copy |
Chapter 1. First-Order ODE's.
Chapter 2. Second Order Linear ODE's.
Chapter 3. Higher Order Linear ODE's.
Chapter 4. Systems of ODE's Phase Plane, Qualitative Methods.
Chapter 5. Series Solutions of ODE's Special Functions.
Chapter 6. Laplace Transforms.
PART B: LINEAR ALGEBRA, VECTOR CALCULUS.
Chapter 7. Linear Algebra: Matrices, Vectors, Determinants: Linear Systems.
Chapter 8. Linear Algebra: Matrix Eigenvalue Problems.
Chapter 9. Vector Differential Calculus: Grad, Div, Curl.
Chapter 10. Vector Integral Calculus: Integral Theorems.
PART C: FOURIER ANALYSIS, PARTIAL DIFFERENTIAL EQUATIONS.
Chapter 11. Fourier Series, Integrals, and Transforms.
Chapter 12. Partial Differential Equations (PDE's).
Chapter 13. Complex Numbers and Functions.
Chapter 14. Complex Integration.
Chapter 15. Power Series, Taylor Series.
Chapter 16. Laurent Series: Residue Integration.
Chapter 17. Conformal Mapping.
Chapter 18. Complex Analysis and Potential Theory.
PART E: NUMERICAL ANALYSIS SOFTWARE.
Chapter 19. Numerics in General.
Chapter 20. Numerical Linear Algebra.
Chapter 21. Numerics for ODE's and PDE's.
PART F: OPTIMIZATION, GRAPHS.
Chapter 22. Unconstrained Optimization: Linear Programming.
Chapter 23. Graphs, Combinatorial Optimization.
PART G: PROBABILITY; STATISTICS.
Chapter 24. Data Analysis: Probability Theory.
Chapter 25. Mathematical Statistics.
Appendix 1: References.
Appendix 2: Answers to Odd-Numbered Problems.
Appendix 3: Auxiliary Material.
Appendix 4: Additional Proofs.
Appendix 5: Tables.
Index.
-Computer Experiments, using the computer as an instrument of “experimental mathematics” for exploration and research. These are mostly open-ended experiments, demonstrating the use of computers in experimentally finding results, which may be provable afterward or may be valuable heuristic qualitative guidelines to the engineer, in particular in complicated problems.
-More on modeling and selecting methods, tasks that usually cannot be automated.
-Many sections were rewritten in a more detailed fashion, to make it a simpler book. This also resulted in a better balance between theory and applications.
-Student Solutions Manual and Study Guide enlarged, upon explicit requests of the users. This manual contains worked-out solutions to carefully selected odd-numbered problems as well as general comments and hints on studying the text and working further problems.
-WileyPLUS, provides online algorithmically generated homework, ebook, and course management features that cannot be not found with any other engineering mathematics text.
-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.
Share This
