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Library | Item Barcode | Call Number | Material Type | Item Category 1 | Status |
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Searching... | 30000001830078 | TA330 K7 1993 | Open Access Book | Book | Searching... |
Searching... | 30000010081077 | TA330 K7 1993 | Open Access Book | Book | Searching... |
Searching... | 30000010117287 | TA330 K7 1993 | Open Access Book | Book | Searching... |
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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 Guide | p. iii |
Part A Ordinary Differential Equations (ODEs) | p. 1 |
Chapter 1 First-Order ODEs | p. 1 |
Chapter 2 Second-Order Linear ODEs | p. 10 |
Chapter 3 Higher Order Linear ODEs | p. 25 |
Chapter 4 Systems of ODEs. Phase Plane. Qualitative Methods | p. 30 |
Chapter 5 Series Solutions of ODEs. Special Functions | p. 40 |
Chapter 6 Laplace Transforms | p. 52 |
Part B Linear Algebra, Vector Calculus | p. 66 |
Chapter 7 Matrices, Vectors, Determinants. Linear Systems | p. 66 |
Chapter 8 Linear Algebra: Matrix Eigenvalue Problems | p. 79 |
Chapter 9 Vector Differential Calculus. Grad, Div, Curl | p. 85 |
Chapter 10 Vector Integral Calculus. Integral Theorems | p. 97 |
Part C Fourier Analysis. Partial Differential Equations | p. 109 |
Chapter 11 Fourier Series, Integrals, and Transforms | p. 109 |
Chapter 12 Partial Differential Equations (PDEs) | p. 118 |
Part D Complex Analysis | p. 128 |
Chapter 13 Complex Numbers and Functions | p. 128 |
Chapter 14 Complex Integration | p. 137 |
Chapter 15 Power Series, Taylor Series | p. 143 |
Chapter 16 Laurent Series. Residue Integration | p. 148 |
Chapter 17 Conformal Mapping | p. 153 |
Chapter 18 Complex Analysis and Potential Theory | p. 159 |
Part E Numeric Analysis | p. 167 |
Chapter 19 Numerics in General | p. 167 |
Chapter 20 Numeric Linear Algebra | p. 176 |
Chapter 21 Numerics for ODEs and PDEs | p. 195 |
Part F Optimization, Graphs | p. 213 |
Chapter 22 Unconstrained Optimization. Linear Programming | p. 213 |
Chapter 23 Graphs and Combinatorial Optimization | p. 221 |
Part G Probability, Statistics | p. 230 |
Chapter 24 Data Analysis. Probability Theory | p. 230 |
Chapter 25 Mathematical Statistics | p. 245 |
Photo Credits | P1 |