Kreyszig:

Advanced Engineering Mathematics, International Student Version, 10th Edition

Student Companion Site

Table Of Contents

Chapter 1: First-Order ODEs

Chapter 2: Second-Order Linear ODEs

Chapter 3: Higher Order Linear ODEs

Chapter 4: Systems of ODEs. Phase Plane. Qualitative Methods

Chapter 5: Series Solutions of ODEs. Special Functions

Chapter 6: Laplace Transforms

Chapter 7: Linear Algebra: Matrices, Vectors, Determinants. Linear Systems

Chapter 8: Linear Algebra: Matrix Eigenvalue Problems

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

Chapter 10: Vector Integral Calculus. Integral Theorems

Chapter 11: Fourier Series, Integrals, and Transforms

Chapter 12: Partial Differential Equations (PDEs)

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

Chapter 19: Numerics in General

Chapter 20: Numeric Linear Algebra

Chapter 21: Numerics for ODEs and PDEs

Chapter 22: Optimization, Graphs

Chapter 23: Graphs. Combinatorial Optimization
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