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About this book :-
Foundation Mathematics for the Physical Sciences written by
K. F. Riley, M. P. Hobson .
Since Mathematical Methods for Physics and Engineering by Riley, Hobson and Bence (Cambridge: Cambridge University Press, 1998), hereafter denoted by MMPE, was first published, the range of material it covers has increased with each subsequent edition (2002 and 2006). Most of the additions have been in the form of introductory material covering polynomial equations, partial fractions, binomial expansions, coordinate geometry and a variety of basic methods of proof, though the third edition of MMPE also extended the range, but not the general level, of the areas to which the methods developed in the book could be applied. Recent feedback suggests that still further adjustments would be beneficial. In so far as content is concerned, the inclusion of some additional introductory material such as powers, logarithms, the sinusoidal and exponential functions, inequalities and the handling of physical dimensions, would make the starting level of the book better match that of some of its readers.
(K. F. Riley, M. P. Hobson)
Book Detail :-
Title: Foundation Mathematics for the Physical Sciences
Edition:
Author(s): K. F. Riley, M. P. Hobson
Publisher: Cambridge University Press
Series:
Year: 2011
Pages: 737
Type: PDF
Language: English
ISBN: 0521192730,9780521192736
Country: US
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About Author :-
The author Ken F. Riley read mathematics at the University of Cambridge and proceeded to a Ph.D. there in theoretical and experimental nuclear physics. He became a research associate in elementary particle physics at Brookhaven, and then, having taken up a lectureship at the Cavendish Laboratory, Cambridge, continued this research at the Rutherford Laboratory and Stanford; in particular he was involved in the experimental discovery of a number of the early baryonic resonances. As well as having been Senior Tutor at Clare College, where he has taught physics and mathematics for over 40 years, he has served on many committees concerned with the teaching and examining of these subjects at all levels of tertiary and undergraduate education. He is also one of the authors of 200 Puzzling Physics Problems.
The author Michael Hobson read natural sciences at the University of Cambridge, specialising in theoretical physics, and remained at the Cavendish Laboratory to complete a Ph.D. in the physics of star-formation. As a research fellow at Trinity Hall, Cambridge and subsequently an advanced fellow of the Particle Physics and Astronomy Research Council, he developed an interest in cosmology, and in particular in the study of fluctuations in the cosmic microwave background. He was involved in the first detection of these fluctuations using a ground-based interferometer. He is currently a University Reader at the Cavendish Laboratory, his research interests include both theoretical and observational aspects of cosmology, and he is the principal author of General Relativity: An Introduction for Physicists. He is also a Director of Studies in Natural Sciences at Trinity Hall and enjoys an active role in the teaching of undergraduate physics and mathematics.
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Book Contents :-
Foundation Mathematics for the Physical Sciences written by
K. F. Riley, M. P. Hobson
cover the following topics.
'
1 Arithmetic and geometry
2 Preliminary algebra
3 Differential calculus
4 Integral calculus
5 Complex numbers and hyperbolic functions
6 Series and limits
7 Partial differentiation
8 Multiple integrals
9 Vector algebra
10 Matrices and vector spaces
11 Vector calculus
12 Line, surface and volume integrals
13 Laplace transforms
14 Ordinary differential equations
15 Elementary probability
A The base for natural logarithms
B Sinusoidal definitions
C Leibnitz’s theorem
D Summation convention
E Physical constants
F Footnote answers
Index
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