# Advanced Engineering Mathematics, 10ed, ISV

ISBN: 9788126554232

1148 pages

eBook also available for institutional users

## Description

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.

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 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 (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

Appendix 1 References

Appendix 2 Answers to Selected Problems

Appendix 3 Auxiliary Material

Appendix 4 Additional Proofs

Appendix 5 Tables

Index

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