# Advanced Engineering Mathematics, 10ed, ISV

₹809.00

- ISBN-13: 9788126554232
- Publisher: Wiley India
- Pages: 1148
- Binding: Paperback
- Year of Pub / Reprint Year: 2016

## Description

Product 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.

Table of Contents

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

Photo Credits

**New To This Edition**

*Revised Problem Sets: This edition includes an extensive revision of the problem sets, making them even more effective, useful, and up-to-date.
Chapter Introductions: These have also been rewritten to be more accessible and helpful to students.
Rewrites: Some material has been rewritten specifically to better help students draw conclusions and tackle more advanced material.
Chapter Revisions: Many of the chapters in this edition have been rewritten entirely. Some have had material added, including but not limited to:
Introduction of Euler’s Method in section 1.2
Partial Derivatives on a Surface in section 9.6
Introduction to the Heat Equation in section 12.5*

About the Author

Erwin O. Kreyszig was a German Canadian applied mathematician and the Professor of Mathematics at Carleton University in Ottawa, Canada. He was a pioneer in the field of applied mathematics: non-wave replicating linear systems