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Applied Mathematics for Physical Chemistry

by: Barrante, James R

Applied Mathematics for Physical Chemistry

by: Barrante, James R

ISBN 13:
9780137417377
ISBN 10:
0137417373
Edition: 2nd
Format: Paperback
Copyright: 08/01/1997
Publisher: Prentice Hall
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Summary

A "how to do it" review and learn book on advanced mathematics necessary to physical chemistry. Coordinate systems, functions and graphs, logarithms, differential calculus, integral calculus, infinite series, differential equations, scalars and vectors, matrices and determinants, operators, numerical methods and the use of the computer, and mathematical methods in the laboratory. Educators, Technicians, and other professionals using mathematics in physical chemistry.

Preface

vii

1 Coordinate Systems

(10)

1.1 Introduction

(1)

1.2 Cartesian Coordinates

(2)

1.3 Plane Polar Coordinates

(1)

1.4 Spherical Polar Coordinates

(2)

1.5 The Complex Plane

(4)

2 Functions and Graphs

(13)

2.1 Functions

(1)

2.2 Graphical Representation of Functions

(8)

2.3 Roots to Polynomial Equations

(4)

3 Logarithms

(6)

3.1 Introduction

(1)

3.2 General Properties of Logarithms

(1)

3.3 Common Logarithms

(2)

3.4 Natural Logarithms

(3)

4 Differential Calculus

(24)

4-1 Introduction

(1)

4-2 Functions of Single Variables

(4)

4-3 Functions of Several Variables-Partial Derivatives

(2)

4-4 The Total Differential

(3)

4-5 Derivative as a Ratio of Infinitesimally Small Changes

(3)

4-6 Geometric Properties of Derivatives

(4)

4-7 Constrained Maxima and Minima

(7)

5 Integral Calculus

(15)

5-1 Introduction

(1)

5-2 Integral as an Antiderivative

(1)

5-3 General Methods of Integration

(2)

5-4 Special Methods of Integration

(2)

5-5 The Integral as a Summation of Infinitesimally Small Elements

(2)

5-6 Line Integrals

(2)

5-7 Double and Triple Integrals

(6)

6 Differential Equations

(25)

6-1 Introduction

(1)

6-2 Linear Combinations

(1)

6-3 First-Order Differential Equations

(3)

6-4 Second-Order Differential Equations with Constant Coefficients

(3)

6-5 General Series Method of Solution

(2)

6-6 Special Polynomial Solutions to Differential Equations

(5)

6-7 Exact and Inexact Differentials

(3)

6-8 Integrating Factors

(1)

6-9 Partial Differential Equations

(6)

7 Infinite Series

(16)

7-1 Introduction

(1)

7-2 Tests for Convergence and Divergence

(3)

7-3 Power Series Revisited

(1)

7-4 Maclaurin and Taylor Series

(2)

7-5 Fourier Series and Fourier Transforms

101

(9)

8 Scalars and Vectors

110

(10)

8.1 Scalars

110

(1)

8.2 Vectors and their Addition

111

(3)

8.3 Multiplication of Vectors

114

(3)

8.4 Applications

117

(3)

9 Matrices and Determinants

120

(15)

9.1 Introduction

120

(1)

9.2 Square Matrices and Determinants

121

(2)

9.3 Matrix Algebra

123

(3)

9.4 Solution of Systems of Linear Equations

126

(2)

9.5 Characteristic Equation of a Matrix

128

(7)

10 Operators

135

(15)

10.1 Introduction

135

(2)

10.2 Vector Operators

137

(1)

10.3 Eigenvalue Equations Revisited

138

(2)

10.4 Hermitian Operators

140

(2)

10.5 Rotational Operators

142

(3)

10.6 Transformation of XXX(2) to Plane Polar Coordinates

145

(5)

11 Numerical Methods and the Use of the Computer

150

(29)

11.1 Introduction

150

(2)

11.2 Programming a Computer

152

(11)

11.3 Programming Examples

163

(6)

11.4 Numerical Integration

169

(5)

11.5 Roots to Equations

174

(5)

12 Mathematical Methods in the Laboratory

179

(13)

12.1 Introduction

179

(1)

12.2 Probability

180

(2)

12.3 Experimental Errors

182

(3)

12.4 Propagation of Errors

185

(2)

12.5 Preparation of Graphs

187

(1)

12.6 Tongents and Areas

188

(4)

Appendices

192

(18)

I Table of Physical Constants

192

(1)

II Table of Integrals

192

(14)

III Transformation of XXX(2) to Spherical Polar Coordinates

206

(2)

IV Stirling's Approximation

208

(2)

Answers

210

(11)

Index

221

Amazon no longer offers textbook rentals. We do!

Applied Mathematics for Physical Chemistry

Applied Mathematics for Physical Chemistry

9780137417377

0137417373

Summary

Table of Contents

Supplemental Materials

Write a Review

Amazon no longer offers textbook rentals. We do!

Applied Mathematics for Physical Chemistry

Applied Mathematics for Physical Chemistry

9780137417377

0137417373

Summary

Table of Contents

Supplemental Materials

Write a Review

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