Mathematical Techniques
2nd Edition
Published on 1. September 1997
Book
Paperback/Softback
806 pages
978-0-19-856461-4 (ISBN)
Description
All students of engineering, science, and mathematics take courses on mathematical techniques or `methods', and large numbers of these students are insecure in their mathematical grounding. This book offers a course in mathematical methods for students in the first stages of a science or engineering degree. Its particular intention is to cover the range of topics typically required, while providing for students whose mathematical background is minimal. The topics covered are: * Analytic geometry, vector algebra, vector fields (div and curl), differentiation, and integration. * Complex numbers, matrix operations, and linear systems of equations. * Differential equations and first-order linear systems, functions of more than one variable, double integrals, and line integrals. * Laplace transforms and Fourier series and Fourier transforms. * Probability and statistics. The earlier part of this list consists largely of what is thought pre-university material. However, many science students have not studied mathematics to this level, and among those that have the content is frequently only patchily understood.
This book is intended for beginning engineering and science students (1st year) doing `maths for scientists' courses.
This book is intended for beginning engineering and science students (1st year) doing `maths for scientists' courses.
More details
Edition
2nd edition
Language
English
Place of publication
Oxford
United Kingdom
Target group
College/higher education
Illustrations
Index
ISBN-13
978-0-19-856461-4 (9780198564614)
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Schweitzer Classification
Other editions
New editions
D.W. Jordan
Mathematical Techniques
An introduction for the Engineering, Physical, and Mathematical Sciences
Book
08/2002
3rd Edition
Oxford University Press
€37.13
Article exhausted; check for reprint
Previous edition
D.W. Jordan
Mathematical Techniques
Book
06/1994
2nd Edition
Oxford University Press
€20.43
Article exhausted; check for reprint
Persons
Content
Part I: Elementary methods, differentiation, complex numbers. Standard functions and techniques. Differentiation. Further techniques for differentiation. Applications of differentiation. Taylor series and approximations. Complex numbers. Part II: Matrix algebra and vectors. Matrix algebra. Determinants. Elementary operations with vectors *. The scalar product *. Vector product; derivatives of vectors *. Linear equations. Eigenvalues and eigenvectors. Part III: Integration and differential equations. Antidifferentiation and area. The definite and indefinite integral. Applications involving the integral as a sum. Systematic techniques for integration. Unforced linear differential equations with constant coefficients. Forced linear differential equations. Harmonic functions and the harmonic oscillator. Steady forced oscillations: phasors, impedance, transfer functions. Graphical, numerical, and other aspects of first-order equations. Introduction to the phase plane. Part IV: Transforms and Fourier series. The Laplace transform. Applications of the Laplace transform, the Z-transform *. Fourier series and Fourier transforms *. Part V: Multivariable calculus. Differentiation of functions of two variables. Functions of two variables: geometry and formulae. Chain rules, restricted maxima, coordinate systems. Functions of any number of variables. Double integration. Line integrals. Vector fields: divergence and curl *. Part VI: Discrete mathematics. Sets. Boolean algebra: logic gates and switching functions. Graph theory and its applications. Difference equations. Part VIII: Probability and statistics. Probability *. Random variables and probability distributions *. Descriptive statistics *. Part VIII: Projects. Applications projects using symbolic computing. Answers to selected problems. Appendix. Index. * Completely new for this second edition