Advanced Engineering Mathematics, Student Solutions Manual and Study Guide, 9th Edition

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Edition: 9th
Format: Paperback
Pub. Date: 2006-10-01
Publisher(s): WILEY
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Summary

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 Biography

Erwin Kreyszig, Ohio State University

Table of Contents

How to Use this Student Solutions Manual and Study Guide iii
PART A. ORDINARY DIFFERENTIAL EQUATIONS (ODEs)
1(65)
First-Order ODEs
1(9)
Second-Order Linear ODEs
10(15)
Higher Order Linear ODEs
25(5)
Systems of ODEs. Phase Plane. Qualitative Methods
30(10)
Series Solutions of ODEs. Special Functions
40(12)
Laplace Transforms
52(14)
PART B. LINEAR ALGEBRA, VECTOR CALCULUS
66(43)
Matrices, Vectors, Determinants. Linear Systems
66(13)
Linear Algebra: Matrix Eigenvalue Problems
79(6)
Vector Differential Calculus. Grad, Div, Curl
85(12)
Vector Integral Calculus. Integral Theorems
97(12)
PART C. FOURIER ANALYSIS. PARTIAL DIFFERENTIAL EQUATIONS
109(19)
Fourier Series, Integrals, and Transforms
109(9)
Partial Differential Equations (PDEs)
118(10)
PART D. COMPLEX ANALYSIS
128(39)
Complex Numbers and Functions
128(9)
Complex Integration
137(6)
Power Series, Taylor Series
143(5)
Laurent Series. Residue Integration
148(5)
Conformal Mapping
153(6)
Complex Analysis and Potential Theory
159(8)
PART E. NUMERIC ANALYSIS
167(46)
Numerics in General
167(9)
Numeric Linear Algebra
176(19)
Numerics for ODEs and PDEs
195(18)
PART F. OPTIMIZATION, GRAPHS
213(17)
Unconstrained Optimization. Linear Programming
213(8)
Graphs and Combinatorial Optimization
221(9)
PART G. PROBABILITY, STATISTICS
230
Data Analysis. Probability Theory
230(15)
Mathematical Statistics
245
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