Table of contents

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    Mathematics for Physical Science and Engineering

    Mathematics for Physical Science and Engineering

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    Preface

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    Chapter 1 - Computers, Science, and Engineering

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    Chapter 2 - Infinite Series

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    Chapter 3 - Complex Numbers and Functions

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    Chapter 4 - Vectors and Matrices

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    Chapter 5 - Matrix Transformations

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    Chapter 6 - Multidimensional Problems

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    Chapter 7 - Vector Analysis

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    Chapter 8 - Tensor Analysis

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    Chapter 9 - Gamma Function

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    Chapter 10 - Ordinary Differential Equations

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    Chapter 11 - General Vector Spaces

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    Chapter 12 - Fourier Series

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    Chapter 13 - Integral Transforms

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    Chapter 14 - Series Solutions: Important ODEs

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    Chapter 15 - Partial Differential Equations

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    Chapter 16 - Calculus of Variations

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    Chapter 17 - Complex Variable Theory

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    Chapter 18 - Probability and Statistics

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    Appendices

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    End Paper

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    Index of Maple Commands

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    Index of Mathematica Commands

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    General Index

About the book

Description

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. This book enables professionals to connect their knowledge of mathematics to either or both of the symbolic languages Maple and Mathematica.

The book begins by introducing the reader to symbolic computation and how it can be applied to solve a broad range of practical problems. Chapters cover topics that include: infinite series; complex numbers and functions; vectors and matrices; vector analysis; tensor analysis; ordinary differential equations; general vector spaces; Fourier series; partial differential equations; complex variable theory; and probability and statistics. Each important concept is clarified to students through the use of a simple example and often an illustration.

This book is an ideal reference for upper level undergraduates in physical chemistry, physics, engineering, and advanced/applied mathematics courses. It will also appeal to graduate physicists, engineers and related specialties seeking to address practical problems in physical science.

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. This book enables professionals to connect their knowledge of mathematics to either or both of the symbolic languages Maple and Mathematica.

The book begins by introducing the reader to symbolic computation and how it can be applied to solve a broad range of practical problems. Chapters cover topics that include: infinite series; complex numbers and functions; vectors and matrices; vector analysis; tensor analysis; ordinary differential equations; general vector spaces; Fourier series; partial differential equations; complex variable theory; and probability and statistics. Each important concept is clarified to students through the use of a simple example and often an illustration.

This book is an ideal reference for upper level undergraduates in physical chemistry, physics, engineering, and advanced/applied mathematics courses. It will also appeal to graduate physicists, engineers and related specialties seeking to address practical problems in physical science.

Key Features

  • 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
  • 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

Details

Copyright

Copyright © 2014 Elsevier Inc. All rights reserved.

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Authors

Frank E. Harris