Civil Engineering Association

Schaum's Outline of Advanced Mathematics for Engineers and Scientists

Tough Test Questions? Missed Lectures? Not Enough Time? Fortunately for you, there's Schaum's. More than 40 million students have trusted Schaum's Outlines to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills. This Schaum's Outline gives you: Practice problems with full explanations that reinforce knowledge Coverage of the most up-to-date developments in your course field In-depth review of practices and applications Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time-and get your best test scores! Schaum's Outlines-Problem Solved.

CONTENTS
Chapter 1 REVIEW OF FUNDAMENTAL CONCEPTS 1
Chapter 2 ORDINARY DIFFERENTIAL EQUATIONS 38
Chapter 3 LINEAR DIFFERENTIAL EQUATIONS 71
Chapter 4 LAPLACE TRANSFORMS 98
Chapter 5 VECTOR ANALYSIS 121
Chapter 6 MULTIPLE, LINE AND SURFACE INTEGRALS AND
INTEGRAL THEOREMS 147
Chapter 7 FOURIER SERIES 182
Chapter 8 FOURIER INTEGRALS 201
Chapter 9 GAMMA, BETA AND OTHER SPECIAL FUNCTIONS 210
Chapter 10 BESSEL FUNCTIONS 224
Chapter 11 LEGENDRE FUNCTIONS AND OTHER
ORTHOGONAL FUNCTIONS 242
Chapter 12 PARTIAL DIFFERENTIAL EQUATIONS 258
Chapter 13 COMPLEX VARIABLES AND CONFORMAL MAPPING 286
Chapter 14 COMPLEX INVERSION FORMULA FOR
LAPLACE TRANSFORMS 324
Chapter 15 MATRICES 342
Chapter 16 CALCULUS OF VARIATIONS 375
INDEX 399

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