Advanced engineering mathematics / Erwin Kreyszig.

Format:

Book

Author/Creator:

Kreyszig, Erwin.

Contributor:

Alumni and Friends Memorial Book Fund.

Language:

English

Subjects (All):

Mathematical physics.

Engineering mathematics.

Physical Description:

1 volume (various pagings) : illustrations ; 27 cm

Edition:

Ninth edition.

Place of Publication:

Hoboken, NJ : John Wiley, [2006]

Summary:

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.

Contents:

How to Use this Student Solutions Manual and Study Guide iii

Part A Ordinary Differential Equations (ODEs) 1

Chapter 1 First-Order ODEs 1

Chapter 2 Second-Order Linear ODEs 10

Chapter 3 Higher Order Linear ODEs 25

Chapter 4 Systems of ODEs. Phase Plane. Qualitative Methods 30

Chapter 5 Series Solutions of ODEs. Special Functions 40

Chapter 6 Laplace Transforms 52

Part B Linear Algebra, Vector Calculus 66

Chapter 7 Matrices, Vectors, Determinants. Linear Systems 66

Chapter 8 Linear Algebra: Matrix Eigenvalue Problems 79

Chapter 9 Vector Differential Calculus. Grad, Div, Curl 85

Chapter 10 Vector Integral Calculus. Integral Theorems 97

Part C Fourier Analysis. Partial Differential Equations 109

Chapter 11 Fourier Series, Integrals, and Transforms 109

Chapter 12 Partial Differential Equations (PDEs) 118

Part D Complex Analysis 128

Chapter 13 Complex Numbers and Functions 128

Chapter 14 Complex Integration 137

Chapter 15 Power Series, Taylor Series 143

Chapter 16 Laurent Series. Residue Integration 148

Chapter 17 Conformal Mapping 153

Chapter 18 Complex Analysis and Potential Theory 159

Part E Numeric Analysis 167

Chapter 19 Numerics in General 167

Chapter 20 Numeric Linear Algebra 176

Chapter 21 Numerics for ODEs and PDEs 195

Part F Optimization, Graphs 213

Chapter 22 Unconstrained Optimization. Linear Programming 213

Chapter 23 Graphs and Combinatorial Optimization 221

Part G Probability, Statistics 230

Chapter 24 Data Analysis. Probability Theory 230

Chapter 25 Mathematical Statistics 245.

Notes:

Includes bibliographical references and index.

Local Notes:

Acquired for the Penn Libraries with assistance from the Alumni and Friends Memorial Book Fund.

ISBN:

0471488852

0471728977

0471726443

0471726451

047172646X

OCLC:

57349166

Publisher Number:

9780471488859