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Library | Materyal Türü | Barkod | Yer Numarası | Durum |
|---|---|---|---|---|
Searching... Pamukkale Merkez Kütüphanesi | Kitap | 0017383 | QA401.K74 2000 | Searching... Unknown |
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Özet
Özet
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.
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 |