Mathematics for Physical Science and Engineering: Symbolic Computing Applications in Maple and Mathematica

✍ Scribed by Frank E. Harris

• Publisher: Academic Press
• Year: 2014
• Tongue: English
• Leaves: 769
• Edition: 1
• Category: Library

✦ Synopsis

Mathematics for Physical Science and Engineering is a complete text in mathematics for physical science that includes the use of symbolic computation to illustrate the mathematical concepts and enable the solution of a broader range of practical problems. It enables professionals to connect their knowledge of mathematics to either or both of the symbolic languages Maple and Mathematica. Due to the increasing importance of symbolic computation, the book begins by introducing that topic, before delving into its core mathematical topics. Each of those subjects is described in principle, and then applied through symbolic computing.The aim of the text is designed to clarify and optimize the efficiency of the students acquisition of mathematical understanding and skill and to provide students with a mathematical toolbox that will rapidly become of routine use in a scientific or engineering career.

• Clarifies each important concept to students through the use of a simple example and often an illustration
• Provides quick-reference for students through multiple appendices, including an overview of terms in most commonly used applications (Mathematica, Maple)

• Shows how symbolic computing enables solving a broad range of practical problems

✦ Table of Contents

Content:
Mathematics for Physical Science and Engineering, Page i
Mathematics for Physical Science and Engineering, Page iii
Copyright, Page iv
Preface, Pages xi-xiv
Chapter 1 - Computers, Science, and Engineering, Pages 1-42
Chapter 2 - Infinite Series, Pages 43-86
Chapter 3 - Complex Numbers and Functions, Pages 87-110
Chapter 4 - Vectors and Matrices, Pages 111-162
Chapter 5 - Matrix Transformations, Pages 163-193
Chapter 6 - Multidimensional Problems, Pages 195-227
Chapter 7 - Vector Analysis, Pages 229-292
Chapter 8 - Tensor Analysis, Pages 293-323
Chapter 9 - Gamma Function, Pages 325-347
Chapter 10 - Ordinary Differential Equations, Pages 349-396
Chapter 11 - General Vector Spaces, Pages 397-425
Chapter 12 - Fourier Series, Pages 427-451
Chapter 13 - Integral Transforms, Pages 453-486
Chapter 14 - Series Solutions: Important ODEs, Pages 487-543
Chapter 15 - Partial Differential Equations, Pages 545-591
Chapter 16 - Calculus of Variations, Pages 593-612
Chapter 17 - Complex Variable Theory, Pages 613-661
Chapter 18 - Probability and Statistics, Pages 663-709
Appendices, Pages 711-750
End Paper, Pages 751-754
Index of Maple Commands, Pages 755-756
Index of Mathematica Commands, Pages 757-758
General Index, Pages 759-772