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Advanced Engineering Mathematics, 10th Edition

Advanced Engineering Mathematics, 10th Edition

Erwin Kreyszig

ISBN: 978-0-470-45836-5

Aug 2011

1280 pages

Select type: Hardcover


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Advanced Engineering Mathematics, 10th Edition is known for its comprehensive coverage, careful and correct mathematics, outstanding exercises, and self-contained subject matter parts for maximum flexibility. The new edition continues with the tradition of providing instructors and students with a comprehensive and up-to-date resource for teaching and learning engineering mathematics, that is, applied mathematics for engineers and physicists, mathematicians and computer scientists, as well as members of other disciplines.

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PART A Ordinary Differential Equations (ODEs)

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


PART B Linear Algebra. Vector Calculus

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


PART C Fourier Analysis. Partial Differential Equations (PDEs)

CHAPTER 11 Fourier Series, Integrals, and Transforms

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 Numeric Analysis


CHAPTER 19 Numerics in General

CHAPTER 20 Numeric 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, Statistics

CHAPTER 24 Data Analysis. Probability Theory

CHAPTER 25 Mathematical Statistics