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Advanced Engineering Mathematics

Erwin Kreyszig
Publisher: 
John Wiley
Publication Date: 
2005
Number of Pages: 
1248
Format: 
Hardcover
Edition: 
9
Price: 
147.95
ISBN: 
978-0471488859
Category: 
Textbook
BLL Rating: 

The Basic Library List Committee suggests that undergraduate mathematics libraries consider this book for acquisition.

[Reviewed by
BLL Committee
, on
10/13/2010
]

BLL — The Basic Library List Committee suggests that undergraduate mathematics libraries consider this book for acquisition.

PART A: ORDINARY DIFFERENTIAL EQUATIONS (ODE'S).

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.