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Introduction to Physical Mathematics - P. G. Harper

Introduction to Physical Mathematics

Paperback Published: 6th May 1985
ISBN: 9780521269087
Number Of Pages: 276

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Directed primarily at college and university undergraduates, this book covers at basic level the essential applications of mathematics to the physical sciences. It contains all the usual topics covered in a first-year course such as vectors, matrices, differential equations, basic mathematical functions and their analysis, and power series. There is a strong emphasis on qualitative understanding (such as curve sketching) and practical methods of solution. The latter take due account of the impact of computers on the subject. The principles of mathematical expression are illustrated by copious examples taken from a wide range of topics in physics and chemistry. Each of the short chapters concludes with a summary and a large number of problems.

Introduction
Errors
Cartesian coordinates
Vectors
The scalar product
The vector product and rotation
Matrices in physics
The transformation of matrices
The matrix eigenvalue equation
Exponential and logarithm functions
Sine and cosine functions
Graph plotting and curve sketching
Differentiation
Approximations
Power series and Taylor's expansion
Partial differentiation
Integration
The differential equation
Solving first-order differential equations
Second-order differential equations
Solving second-order differential equations
The complex exponential
The circuit equation
Harmonics and Fourier series
The diffusion equation
Waves
The rate of change of a vector
The scalar field and gradient operator
The vector field
Line integration
The potential field
Surface and volume integration
Flux and divergence
Circulation and the curl
Conclusion
Miscellaneous exercises
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521269087
ISBN-10: 0521269083
Audience: Tertiary; University or College
Format: Paperback
Language: English
Number Of Pages: 276
Published: 6th May 1985
Publisher: CAMBRIDGE UNIV PR
Country of Publication: GB
Dimensions (cm): 22.86 x 15.24  x 1.58
Weight (kg): 0.41

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