Author: R.D. RichtmyerPublisher: Springer Science & Business Media
ISBN: 3642510760
Category : Science
Languages : en
Pages : 332
Book Description
Principles of Advanced Mathematical Physics
Author: R.D. RichtmyerPublisher: Springer Science & Business Media
ISBN: 3642510760
Category : Science
Languages : en
Pages : 332
Book Description
Principles of Advanced Mathematical Physics
Author: Robert D. RichtmyerPrinciples of advanced mathematical physics
Author: Robert Davis RichtmyerPrinciples of Advanced Mathematical Physics II
Author: R. D. RichtmyerPublisher:
ISBN: 9783642510779
Category :
Languages : en
Pages : 336
Book Description
Principles of Advanced Mathematical Physics
Author: Robert D. RichtmyerPublisher: Springer Science & Business Media
ISBN: 3642463789
Category : Science
Languages : en
Pages : 439
Book Description
A first consequence of this difference in texture concerns the attitude we must take toward some (or perhaps most) investigations in "applied mathe matics," at least when the mathematics is applied to physics. Namely, those investigations have to be regarded as pure mathematics and evaluated as such. For example, some of my mathematical colleagues have worked in recent years on the Hartree-Fock approximate method for determining the structures of many-electron atoms and ions. When the method was intro duced, nearly fifty years ago, physicists did the best they could to justify it, using variational principles, intuition, and other techniques within the texture of physical reasoning. By now the method has long since become part of the established structure of physics. The mathematical theorems that can be proved now (mostly for two- and three-electron systems, hence of limited interest for physics), have to be regarded as mathematics. If they are good mathematics (and I believe they are), that is justification enough. If they are not, there is no basis for saying that the work is being done to help the physicists. In that sense, applied mathematics plays no role in today's physics. In today's division of labor, the task of the mathematician is to create mathematics, in whatever area, without being much concerned about how the mathematics is used; that should be decided in the future and by physics.
Principles of Advanced Mathematical Physics. Vol. 1
Author: Robert D. RichtmyerMathematical Physics
Author: Robert GerochPublisher: University of Chicago Press
ISBN: 022622306X
Category : Science
Languages : en
Pages : 358
Book Description
Mathematical Physics is an introduction to such basic mathematical structures as groups, vector spaces, topological spaces, measure spaces, and Hilbert space. Geroch uses category theory to emphasize both the interrelationships among different structures and the unity of mathematics. Perhaps the most valuable feature of the book is the illuminating intuitive discussion of the "whys" of proofs and of axioms and definitions. This book, based on Geroch's University of Chicago course, will be especially helpful to those working in theoretical physics, including such areas as relativity, particle physics, and astrophysics.
Variational Principles in Mathematical Physics, Geometry, and Economics
Author: Alexandru KristályPublisher: Cambridge University Press
ISBN: 0521117828
Category : Mathematics
Languages : en
Pages : 385
Book Description
A comprehensive introduction to modern applied functional analysis. Assumes only basic notions of calculus, real analysis, geometry, and differential equations.
Mathematical Physics
Author: Sadri HassaniPublisher: Springer Science & Business Media
ISBN: 9780387985794
Category : Science
Languages : en
Pages : 1052
Book Description
For physics students interested in the mathematics they use, and for math students interested in seeing how some of the ideas of their discipline find realization in an applied setting. The presentation strikes a balance between formalism and application, between abstract and concrete. The interconnections among the various topics are clarified both by the use of vector spaces as a central unifying theme, recurring throughout the book, and by putting ideas into their historical context. Enough of the essential formalism is included to make the presentation self-contained.
Mathematical Methods Of Theoretical Physics
Author: Karl SvozilPublisher: World Scientific
ISBN: 9811208425
Category : Science
Languages : en
Pages : 331
Book Description
'This book could serve either as a good reference to remind students about what they have seen in their completed courses or as a starting point to show what needs more investigation. Svozil (Vienna Univ. of Technology) offers a very thorough text that leaves no mathematical area out, but it is best described as giving a synopsis of each application and how it relates to other areas … The text is organized well and provides a good reference list. Summing Up: Recommended. Upper-division undergraduates and graduate students.'CHOICEThis book contains very explicit proofs and demonstrations through examples for a comprehensive introduction to the mathematical methods of theoretical physics. It also combines and unifies many expositions of this subject, suitable for readers with interest in experimental and applied physics.