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About this book :-
Essential Mathematical Methods for Physical Sciences written by
K. F. Riley, M. P. Hobson .
Since Mathematical Methods for Physics and Engineering (Cambridge: Cambridge University Press, 1998) by Riley, Hobson and Bence, 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 introductorymaterial 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: Essential Mathematical Methods for Physical Sciences
Edition:
Author(s): K. F. Riley, M. P. Hobson
Publisher: Cambridge University Press
Series:
Year: 2011
Pages: 847
Type: PDF
Language: English
ISBN: 052176114X,978-0-521-76114-7
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 :-
Essential Mathematical Methods for Physical Sciences written by
K. F. Riley, M. P. Hobson
cover the following topics.
'
Review of background topics
1. Matrices and vector spaces
2. Vector calculus
3. Line, surface and volume integrals
4. Fourier series
5. Integral transforms
6. Higher-order ordinary differential equations
7. Series solutions of ordinary differential equations
8. Eigenfunction methods for differential equations
9. Special functions
10. Partial differential equations
11. Solution methods for PDEs
12. Calculus of variations
13. Integral equations
14. Complex variables
15. Applications of complex variables
16. Probability
17. Statistics
A Review of background topics
B Inner products
C Inequalities in linear vector spaces
D Summation convention
E The Kronecker delta and Levi–Civita symbols
F Gram–Schmidt orthogonalization
G Linear least squares
H Footnote answers
Index
Note:-
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