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