10917 - Advanced Engineering Mathematics

KREYSIG Erwin

Seventh Edition

Table of Contents (Summary: Chapters & Sections)

Part A. ORDINARY DIFFERENTIAL EQUATIONS (ODE)

• Chapter 1 : First-Order Differential Equations

• Chapter 2 : Second-Order Linear Differential Equations

• Chapter 3 : Higher Order Linear Differential Equations

• Chapter 4 : Systems of Differential Equations. Phase Plane. Stability 

• Chapter 5 : Series Solutions of Differential Equations. Special Functions 

• Chapter 6 : Laplace Transforms 

Part B. LINEAR ALGEBRA. VECTOR CALCULUS

• Chapter 7 : Linear Algebra: Matrices, Vectors, Determinants 

• Chapter 8 : Linear Algebra: Matrix Eigenvalue Problems 

• Chapter 9 : Vector Differential Calculus. Grad, Div, Curl 

• Chapter 10 : Vector Integral Calculus. Integral Theorems 

Part C. FOURIER ANALYSIS. PARTIAL DIFFERENTIAL EQUATIONS (PDEs)

• Chapter 11 : Fourier Analysis 

• Chapter 12 : Partial Differential Equations (PDEs) 

Part D. COMPLEX ANALYSIS

• Chapter 13 : Complex Numbers and Functions 

• Chapter 14 : Complex Integration 

• Chapter 15 : Power Series, Taylor Series 

• Chapter 16 : Laurent Series. Residue Integration 

• Chapter 17 : Conformal Mapping 

• Chapter 18 : Complex Analysis and Potential Theory

Part E. NUMERICAL METHODS

• Chapter 19 : Numerics in General

• Chapter 20 : Numerical Linear Algebra

• Chapter 21 : Numerics for ODEs and PDEs

Part F. OPTIMIZATION, GRAPHS

• Chapter 22 : Unconstrained Optimization. Linear Programming

• Chapter 23 : Graphs. Combinatorial Optimization

Part G. PROBABILITY AND STATISTICS

• Chapter 24 : Data Analysis. Probability Theory

• Chapter 25 : Mathematical Statistics

1271 pages

Edition : 1993


Language : english

CHF 10.00