Mathematical Methods for Physics and Engineering: A Comprehensive GuideThe 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 standalone 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 passwordprotected web site, www.cambridge.org/9780521679718. 
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LibraryThing Review
Brukerevaluering  amarcobio  LibraryThingMy brother first recommended me this book. He is physicist. And actually he did a good suggestion. Among the several books I tried to learn collegelevel 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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Mathematical Methods for Physics and Engineering: A Comprehensive Guide K. F. Riley,M. P. Hobson,S. J. Bence Ingen forhåndsvisning tilgjengelig  2006 
Mathematical Methods for Physics and Engineering: A Comprehensive Guide K. Kenneth Franklin Riley,M. Michael Paul Hobson,S. Stephen John Bence Ingen forhåndsvisning tilgjengelig  1997 
Vanlige uttrykk og setninger
axis basis vectors boundary conditions Cartesian coordinates Cartesian tensor chapter coeﬃcients complex numbers components consider constant contour convergence coordinate system corresponding curve deﬁned deﬁnition denote determinant diﬀerent diﬀerential equations discussed divergence theorem eigenfunctions eigenvalues eigenvectors equal evaluate example expression ﬁeld ﬁnd ﬁnding ﬁnite ﬁrst ﬁrstorder ﬁxed follows Fourier series Fourier transform given gives Green’s function hence Hermitian Hermitian operator inﬁnite integrand inverse Laplace transform Legendre Legendre polynomials line integral linearly independent matrix method multiplying nonzero normalised obtain orthogonal particular plane polar coordinates polynomial properties prove radius recurrence relation respect result roots saddle point satisﬁes scalar secondorder shown in ﬁgure singular sinx solution solve speciﬁc spherical polar stationary points subsection substitution surface tensor theorem variable vector field write written zero
Populære avsnitt
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.