406 pages. Includes the solutions of all even-numbered problems.
Author(s): Erwin Kreyszig
Edition: 9th
Year: 2006
Language: English
Pages: 420
Tags: Математика;Высшая математика (основы);Математика для инженерных и естественнонаучных специальностей;
Cover......Page 1
Preface......Page 3
Ch 01 - First-Order ODEs......Page 5
Ch 02 - Second-Order Linear ODEs......Page 34
Ch 03 - Higher Order Linear ODEs......Page 63
Ch 04 - Systems of ODEs, Phase Plane. Qualitative Methods......Page 71
Ch 05 - Series Solutions of ODEs. Special Functions......Page 101
Ch 06 - Laplace Transform......Page 121
Ch 07 - Linear Algebra: Matrices, Vectors, Determinants. Linear Systems......Page 149
Ch 08 - Linear Algebra: Matrix Eigenvalue Problems......Page 165
Ch 09 - Vector Differential Calculus. Grad, Div, Curl......Page 178
Ch 10 - Vector Integral Calculus. Integral Theorems......Page 194
Ch 11 - Fourier Series, Integrals, and Transforms......Page 215
Ch 12 - Partial Differential Equations (PDEs)......Page 232
Ch 13 - Complex Numbers and Functions......Page 248
Ch 14 - Complex Integration......Page 258
Ch 15 - Power Series, Taylor Series......Page 264
Ch 16 - Laurent Series. Residue Integration......Page 273
Ch 17 - Conformal Mapping......Page 284
Ch 18 - Complex Analysis and Potential Theory......Page 293
Ch 19 - Numerics in General......Page 305
Ch 20 - Numeric Linear Algebra......Page 317
Ch 21 - Numerics for ODEs and PDEs......Page 333
Ch 22 - Unconstrained Optimization. Linear Programming......Page 355
Ch 23 - Graphs. Combinatorial Optimization......Page 366
Ch 24 - Data Analysis. Probability Theory......Page 378
Ch 25 - Mathematical Statistics......Page 396
