Introduction to Methods of Applied Mathematics or Advanced Mathematical Methods for Scientists and Engineers

By Mauch, Sean

Book Id: WPLBN0000660077
Format Type: PDF eBook
File Size: 8.15 MB
Reproduction Date: 2005

Title:	Introduction to Methods of Applied Mathematics or Advanced Mathematical Methods for Scientists and Engineers
Author:	Mauch, Sean
Volume:
Language:	English
Subject:	Science., Mathematics, Logic
Collections:
Historic Publication Date:
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Citation APA MLA Chicago Mauch, S. (n.d.). Introduction to Methods of Applied Mathematics or Advanced Mathematical Methods for Scientists and Engineers. Retrieved from http://gutenberg.us/

Description
Mathematics document containing theorems and formulas.

Table of Contents
Contents 1 Anti-Copyright 22 2 Preface 23 2.1 Advice to Teachers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 2.2 Acknowledgments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 2.3 Warnings and Disclaimers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 2.4 Suggested Use . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 2.5 About the Title . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 I Algebra 1 3 Sets and Functions 2 3.1 Sets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 3.2 Single Valued Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 3.3 Inverses and Multi-Valued Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 3.4 Transforming Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 4 Vectors 11 4.1 Vectors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 4.1.1 Scalars and Vectors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 4.1.2 The Kronecker Delta and Einstein Summation Convention . . . . . . . . . . . . . . . . . . 14 4.1.3 The Dot and Cross Product . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 4.2 Sets of Vectors in n Dimensions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 4.3 Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 4.4 Hints . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27 4.5 Solutions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29