Mathematical Methods for Physics and Engineering: A Comprehensive Guide

Forside
Cambridge University Press, 13. mar. 2006
11 Anmeldelser
The third edition of this highly acclaimed undergraduate textbook is suitable for teaching all the mathematics for an undergraduate course in any of the physical sciences. As well as lucid descriptions of all the topics and many worked examples, it contains over 800 exercises. New stand-alone chapters give a systematic account of the 'special functions' of physical science, cover an extended range of practical applications of complex variables, and give an introduction to quantum operators. Further tabulations, of relevance in statistics and numerical integration, have been added. In this edition, half of the exercises are provided with hints and answers and, in a separate manual available to both students and their teachers, complete worked solutions. The remaining exercises have no hints, answers or worked solutions and can be used for unaided homework; full solutions are available to instructors on a password-protected web site, www.cambridge.org/9780521679718.
 

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LibraryThing Review

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My brother first recommended me this book. He is physicist. And actually he did a good suggestion. Among the several books I tried to learn college-level mathematics, this has been, by far, the most ... Les hele vurderingen

Innhold

Complex numbers and hyperbolic functions
83
Series and limits
115
Partial differentiation
151
Multiple integrals
187
Vector algebra
212
Matrices and vector spaces
241
Normal modes
316
Vector calculus
334
Special functions
577
Quantum operators
648
general and particular solutions
675
separation of variables
713
Calculus of variations
775
Integral equations
803
Complex variables
824
Applications of complex variables
871

Line surface and volume integrals
377
Fourier series
415
Integral transforms
433
Firstorder ordinary differential equations
468
Higherorder ordinary differential equations
490
Series solutions of ordinary differential equations
531
Eigenfunction methods for differential equations
554
Tensors
927
Numerical methods
984
Group theory
1041
Representation theory
1076
Probability
1119
Preface to the third edition page
xx
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Side 45 - The derivative of the product of two functions is equal to the first function times the derivative of the second plus the second times the derivative of the first.
Side 31 - Show that the sum of the squares of the first n natural numbers is given by Lay out your proof in the same way as the proof on page 212.
Side 47 - This can now be rearranged into the more convenient and memorisable form This can be expressed in words as the derivative of a quotient is equal to the bottom times the derivative of the top minus the top times the derivative of the bottom, all over the bottom squared.
Side xix - I know the kings of England, and I quote the fights historical, From Marathon to Waterloo, in order categorical ; I'm very well acquainted too with matters mathematical, I understand equations, both the simple and quadratical, About binomial theorem I'm teeming with a lot o' news, With many cheerful facts about the square of the hypotenuse. I'm very good at integral and differential calculus, I know the scientific names of beings animalculous, In short, in matters vegetable, animal and mineral, I...
Side 37 - An ellipse has the property that the sum of the distances from any point on the ellipse to the two foci is equal to the length of the major axis; that is, rp + r.

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