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Cover image for Advanced engineering mathematics
Title:
Advanced engineering mathematics
Personal Author:
Edition:
7th ed
Publication Information:
New York : John Wiley, 1993
ISBN:
9780471553809

9780471599890

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30000001830078 TA330 K7 1993 Open Access Book Book
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30000010081077 TA330 K7 1993 Open Access Book Book
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30000010117287 TA330 K7 1993 Open Access Book Book
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Summary

Summary

The content and character of mathematics needed in applications are changing rapidly. Introduces students of engineering, physics, mathematics and computer science to those areas that are vital to address practical problems. The Seventh Edition offers a self-contained treatment of ordinary differential equations, linear algebra, vector calculus, fourier analysis and partial differential equations, complex analysis, numerical methods, optimization and graphs, probability and statistics. New in this edition are: many sections rewritten to increase readability; problems have been revised and more closely related to examples; instructors manual quadrupled in content; improved balance between applications, algorithmic ideas and theory; reorganized differential equations and linear algebra sections; added and improved examples throughout.


Author Notes

In books such as Introductory Functional Analysis with Applications and Advanced Engineering Mathematics, Erwin Kreyszig attempts to relate the changing character and content of mathematics to practical problems. (Bowker Author Biography)


Table of Contents

How to Use this Student Solutions Manual and Study Guidep. iii
Part A Ordinary Differential Equations (ODEs)p. 1
Chapter 1 First-Order ODEsp. 1
Chapter 2 Second-Order Linear ODEsp. 10
Chapter 3 Higher Order Linear ODEsp. 25
Chapter 4 Systems of ODEs. Phase Plane. Qualitative Methodsp. 30
Chapter 5 Series Solutions of ODEs. Special Functionsp. 40
Chapter 6 Laplace Transformsp. 52
Part B Linear Algebra, Vector Calculusp. 66
Chapter 7 Matrices, Vectors, Determinants. Linear Systemsp. 66
Chapter 8 Linear Algebra: Matrix Eigenvalue Problemsp. 79
Chapter 9 Vector Differential Calculus. Grad, Div, Curlp. 85
Chapter 10 Vector Integral Calculus. Integral Theoremsp. 97
Part C Fourier Analysis. Partial Differential Equationsp. 109
Chapter 11 Fourier Series, Integrals, and Transformsp. 109
Chapter 12 Partial Differential Equations (PDEs)p. 118
Part D Complex Analysisp. 128
Chapter 13 Complex Numbers and Functionsp. 128
Chapter 14 Complex Integrationp. 137
Chapter 15 Power Series, Taylor Seriesp. 143
Chapter 16 Laurent Series. Residue Integrationp. 148
Chapter 17 Conformal Mappingp. 153
Chapter 18 Complex Analysis and Potential Theoryp. 159
Part E Numeric Analysisp. 167
Chapter 19 Numerics in Generalp. 167
Chapter 20 Numeric Linear Algebrap. 176
Chapter 21 Numerics for ODEs and PDEsp. 195
Part F Optimization, Graphsp. 213
Chapter 22 Unconstrained Optimization. Linear Programmingp. 213
Chapter 23 Graphs and Combinatorial Optimizationp. 221
Part G Probability, Statisticsp. 230
Chapter 24 Data Analysis. Probability Theoryp. 230
Chapter 25 Mathematical Statisticsp. 245
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