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Applied Mathematics for Physical Chemistry

Applied Mathematics for Physical Chemistry - 3rd edition

ISBN13: 978-0131008458

Cover of Applied Mathematics for Physical Chemistry 3RD 04 (ISBN 978-0131008458)
ISBN13: 978-0131008458
ISBN10: 0131008455
Cover type:
Edition/Copyright: 3RD 04
Publisher: Prentice Hall, Inc.
Published: 2004
International: No
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Applied Mathematics for Physical Chemistry - 3RD 04 edition

ISBN13: 978-0131008458

James Barrante

ISBN13: 978-0131008458
ISBN10: 0131008455
Cover type:
Edition/Copyright: 3RD 04
Publisher: Prentice Hall, Inc.

Published: 2004
International: No
Summary

For undergraduate level physical chemistry courses.

The textbook was written as a supplement to help students learn and apply the advanced mathematics necessary to understand physical chemistry. The first half of the book should act as a review of subject matter normally covered in prerequisite courses. The latter half of the book covers important material normally not covered in prerequisite mathematics courses, but is essential to physical chemistry study.

Features

  • NEW - Chapter on numerical methods using Microsoft Excel.
  • Students learn how to apply the features of Excel to do experimental calculation, draw graphs, etc.
  • NEW - Approximately 70 new problems.
  • Provides students with relevant examples.
  • A supplement to all textbooks of physical chemistry.
  • Can be used by any student taking any physical chemistry course.
  • Chapters on differential and integral calculus.
  • Help students review this material and apply it to physical chemistry.
  • Chapter on the introduction to differential equations.
  • Essential to understanding many physical chemistry concepts.
  • Chapter illustrating the use of discrete Fourier transforms and their application to diffraction and spectroscopy.
  • Teaches students how to calculate Fourier transforms using Excel.
  • End of chapter problems--Answers given at the back of the book.
  • Allows students to practice mathematics.

Author Bio

Barrante, James R. : Southern Connecticut State University

Table of Contents

1. Coordinate Systems

Cartesian Coordinates
Plane Polar Coordinates
Spherical Polar Coordinates
Complex Numbers


2. Functions and Graphs

Functions
Graphical Representation of Functions
Roots to Polynomial Equations


3. Logarithms

General Properties of Logarithms
Common Logarithms
Natural Logarithms


4. Differential Calculus

Functions of Single Variables
Functions of Several Variables-Partial Derivatives
The Total Differential
Derivative as a Ratio of Infinitesimally Small Changes
Geometric Properties of Derivatives
Constrained Maxima and Minima


5. Integral Calculus

Integral as an Antiderivative
General Methods of Integration
Special Methods of Integration
The Integral as a Summation of Infinitesimally Small Elements
Line Integrals
Double and Triple Integrals


6. Infinite Series

Tests for Convergence and Divergence
Power Series Revisited
Maclaurin and Taylor Series
Fourier Series and Fourier Transforms


7. Differential Equations

Linear Combinations
First-Order Differential Equations
Second-Order Differential Equations
with Constant Coefficients
General Series Methods of Solution
Special Polynomial Solutions to Differential Equations
Exact and Inexact Differentials
Integrating Factors
Partial Differential Equations


8. Scalars and Vectors

Addition of Vectors
Multiplication of Vectors
Applications


9. Matrices and Determinants

Square Matrices and Determinants
Matrix Algebra


10. Operators

Vector Operators
Eigenvalue Equations Revisited
Hermitian Operators
Rotational Operators
Transformation of ?2 to Plane Polar Coordinates


11. Numerical Methods and the Use of the Computer

Graphical Presentation
Numerical Integration
Roots to Equations
Fourier Transforms Revisited-Macros


12. Mathematical Methods in the Laboratory

Probability
Experimental Errors
Propagation of Errors
Preparation of Graphs
Linear Regression
Tangents and Areas


Appendix I. Table of Physical Constants
Appendix II. Table of Integrals
Appendix III. Transformation of ?2 Spherical Polar Coordinate
Appendix IV. Stirling's Approximation
Appendix V. Solving a 3x3 Determinant
Appendix VI. Statistics
Answers
Index

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