Mathematical methods for mathematicians, physical scientists, and engineers
This practical introduction encapsulates the entire content of teaching material for UK honours degree courses in mathematics, physics, chemistry and engineering, and is also appropriate for post-graduate study. It imparts the necessary mathematics for use of the techniques, with subject-related worked examples throughout. The text is supported by challenging problem exercises (and answers) to test student comprehension. Index notation used in the text simplifies manipulations in the sections o…
Read More ↓Title Statements
- Full title :Mathematical methods for mathematicians, physical scientists, and engineers / Jeremy Dunning-Davies.
Summary
This practical introduction encapsulates the entire content of teaching material for UK honours degree courses in mathematics, physics, chemistry and engineering, and is also appropriate for post-graduate study. It imparts the necessary mathematics for use of the techniques, with subject-related worked examples throughout. The text is supported by challenging problem exercises (and answers) to test student comprehension. Index notation used in the text simplifies manipulations in the sections on vectors and tensors. Partial differential equations are discussed, and special functions introduced.
Read More ↓Edition Statements
- Publication Date:©2003
Publication Statements
- Publisher(s):Horwood Publishing
- Place of Publication:Chichester, England
- Language:eng
- Publication Date:©2003
The Physical Object
- Description:1 online resource (417 pages) : : illustrations.
Edition Identifiers
- ISBN:9780857099563, 0857099566
- oclc:ocn874155681
- LC Classification:QA300
- Dewey Decimal:515
Table of Contents
Front Cover; ABOUT THE AUTHOR; Mathematical Methods for Mathematicians, Physical Scientists and Engineers; Copyright Page; Table of Contents; Author's Preface; Chapter 1. Functions of One Variable; 1.1 The concept of a function; 1.2 Limits of functions; 1.3 Properties of limits; 1.4 Continuous functions; 1.5 Derivative of a function; 1.6 Differentials; 1.7 Geometrical interpretation of a differential; 1.8 General results; 1.9 Derivative of a function of a function; 1.10 Derivative of an inverse function; 1.11 Leibniz's theorem; 1.12 Some important theorems of the differential calculus
1.13 Cauchy's formula1.14 Indeterminate forms; 1.15 Taylor's theorem; 1.16 Maclaurin's theorem; 1.17 Extreme values of functions of one variable; Exercises 1; Chapter 2. Complex Numbers; 2.1 Introduction; 2.2 The Argand diagram; 2.3 The Exponential and De Moivre's theorem; 2.4 Hyperbolic functions; 2.5 Differentiation of hyperbolic functions; 2.6 Inverse hyperbolic functions; 2.7 The Logarithmic function; Exercises 2; Chapter 3. Integration; 3.1 Introduction; 3.2 Methods of integration; 3.3 Definite integrals: area beneath plane curves; 3.4 Definite integrals: limit of a sum
5.6 Eigenvalues and eig…
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