# Description

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 applications and the uses of technology. Kreyszig introduces and computer scientists to advanced math topics as they relate to practical .

The material is arranged into seven independent parts: ODE; , ; Fourier Analysis and Partial Differential Equations; Complex Analysis; ; Optimization, graphs; and and .

# Table of Content

PART A Ordinary Differential Equations (ODEs)CHAPTER 1: First-Order ODEs
CHAPTER 2: Second-Order Linear ODEs
CHAPTER 3: Higher Order Linear ODEs
CHAPTER 4: Systems of ODEs. Phase Plane. Qualitative Methods
CHAPTER 5: Series Solutions of ODEs. Special Functions
CHAPTER 6: Laplace TransformsPART 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 (PDEs)

CHAPTER 11: Fourier Analysis
CHAPTER 12: Partial Differential Equations (PDEs)

PART D Complex Analysis

CHAPTER 13: Complex Numbers and Functions. Complex Differentiation
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 Numeric Analysis

CHAPTER 19: Numerics in General
CHAPTER 20: Numeric Linear Algebra
CHAPTER 21: Numerics for ODEs and PDEs

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