This market leading text is known for its comprehensive coverage, careful and correct mathematics, outstanding exercises and self contained subject matter parts for maximum flexibility.

Thoroughly updated and streamlined to reflect new developments in the field, the ninth edition of this bestselling text features modern engineering applications and the uses of technology. Kreyszig introduces engineers and computer scientists to advanced math topics as they relate to practical problems. The material is arranged into seven independent parts: ODE; Linear Algebra, Vector Calculus; Fourier Analysis and Partial Differential Equations; Complex Analysis; Numerical methods; Optimization, graphs; and Probability and Statistics.

A revision of the market leader, Kreyszig is known for its comprehensive coverage, careful and correct mathematics, outstanding exercises, helpful worked examples, and self-contained subject-matter parts for maximum teaching flexibility. The new edition provides invitations - not requirements - to use technology, as well as new conceptual problems, and new projects that focus on writing and working in teams.

Erwin Kreyszig, Ohio State University

PART A: ORDINARY DIFFERENTIAL EQUASTIONS (ODEs).

Chapter 1. First-Order ODEs.

Chapter 2 and 3. Linear ODEs of Second and Higher Order.

Chapter 4. Systems of ODEs. Phase Plane, Qualitative Methods.

Chapter 5. Series Solutions of ODEs. Special Functions.

Chapter 6. Laplace Transforms.

PART B: LINEAR ALGEBRA, VECTOR CALCULUS.

Chapter 7. Matrices, Vectors, Determinants. Linear Systems of Equations.

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 (PDEs).

Chapter 11. Fourier Series, Integrals, and Transforms.

Chapter 12. Partial Differential Equations (PDEs).

PART D: COMPLEX ANALYSIS.

Chapter 13. 17 Complex Numbers and Functions. Conformal mapping.

Chapter 14. Complex Integration.

Chapter 15. Power Series, Taylor Series.

Chapter 16. Laurent Series. Residue Integration.

Chapter 17. See before.

Chapter 18. Complex Analysis and Potential theory.

PART E: NUMERIC ANALYSIS.

Chapter 19. Numerics in General.

Chapter 20. Numeric Linear Algebra.

Chapter 21. Numerics for ODEs and PDEs.

PART F: OPTIMIZATION, GRAPHS.

Chapter 23. Graphs and 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.

Index.