Linear Methods of Applied MathematicsOrthogonal series, boundary-value problems, and integral operatorsEvans M. Harrell II and James V. Herod © Copyright 1994,1995,1996, 1997, 2000 by Evans M. HarrellII and James V. Herod. All rights reserved.This is a WWW textbook written by Evans M. Harrell II and James V. Herod, both of Georgia Tech. It is suitable for a first course on partial differential equations,Fourier series and special functions, and integral equations. Students are expectedto have completed two years of calculus and an introduction to ordinary differential equations and vector spaces. For recommended 10-week and15-week syllabuses, read thepreface.This text concentrates on mathematical concepts rather than on details of calculations, which are often done with software, such...
Multivariable Calculus
This is a textbook for a course in multivariable calculus. It has been used for the past few years here at Georgia Tech. The notes are available as Adobe Acrobat documents,this book also available online at http://www.math.gatech.edu/~cain/notes/calculus.html, written by George Cain and James HerodTitle page and Table of Contents Table of Contents Chapter One - Euclidean Three Space 1.1 Introduction 1.2 Coordinates in Three-Space 1.3 Some Geometry 1.4 Some More Geometry--Level Sets Chapter Two - Vectors--Algebra and Geometry 2.1 Vectors 2.2 Scalar Product 2.3 Vector Product Chapter Three - Vector Functions 3.1 Relations and Functions 3.2 Vector Functions 3.3 Limits and Continuity Chapter Four - Derivatives 4.1 Derivatives 4.2 Geometry...
Calculus from Gilbert Strang
his book is legal to download and available online at http://ocw.mit.edu/ans7870/resources/Strang/strangtext.htmTOCW is pleased to make this textbook available online. Published in 1991 and still in print from Wellesley-Cambridge Press, the book is a useful resource for educators and self-learners alike. It is well organized, covers single variable and multivariable calculus in depth, and is rich with applications. There is also an online Instructor's Manual and a student Study Guide.Textbook ComponentsTable of Contents (PDF)Answers to Odd-Numbered Problems (PDF)Equations (PDF).nobrtable br { display: none } ...