Books in Mathematics general

Books Journals

Theory and Practice of Combinatorics

1st Edition
Volume 12
January 1, 1982
J. Turgeon + 2 more
English
eBook
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Nonlinear Problems: Present and Future

1st Edition
Volume 61
January 1, 1982
A. Bishop + 2 more
English
eBook
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Selected Papers of Kentaro Yano

1st Edition
Volume 70
January 1, 1982
M. Obata
English
eBook
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Proceedings of the International Mathematical Conference, Singapore 1981

1st Edition
Volume 74
January 1, 1982
L.H.Y. Chen + 2 more
English
eBook
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I: Functional Analysis

1st Edition
Volume 1
December 28, 1980
Michael Reed + 1 more
English
Hardback
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eBook
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This book is the first of a multivolume series devoted to an exposition of functional analysis methods in modern mathematical physics. It describes the fundamental principles of functional analysis and is essentially self-contained, although there are occasional references to later volumes. We have included a few applications when we thought that they would provide motivation for the reader. Later volumes describe various advanced topics in functional analysis and give numerous applications in classical physics, modern physics, and partial differential equations.

Functional Analysis and Linear Control Theory

1st Edition
December 5, 1980
J.R. Leigh
English
eBook
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Stochastic Models: Estimation and Control: v. 1

1st Edition
Volume 141A
July 17, 1979
Maybeck
English
eBook
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III: Scattering Theory

1st Edition
Volume 3
April 28, 1979
Michael Reed + 1 more
English
eBook
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Scattering theory is the study of an interacting system on a scale of time and/or distance which is large compared to the scale of the interaction itself. As such, it is the most effective means, sometimes the only means, to study microscopic nature. To understand the importance of scattering theory, consider the variety of ways in which it arises. First, there are various phenomena in nature (like the blue of the sky) which are the result of scattering. In order to understand the phenomenon (and to identify it as the result of scattering) one must understand the underlying dynamics and its scattering theory. Second, one often wants to use the scattering of waves or particles whose dynamics on knows to determine the structure and position of small or inaccessible objects. For example, in x-ray crystallography (which led to the discovery of DNA), tomography, and the detection of underwater objects by sonar, the underlying dynamics is well understood. What one would like to construct are correspondences that link, via the dynamics, the position, shape, and internal structure of the object to the scattering data. Ideally, the correspondence should be an explicit formula which allows one to reconstruct, at least approximately, the object from the scattering data. The main test of any proposed particle dynamics is whether one can construct for the dynamics a scattering theory that predicts the observed experimental data. Scattering theory was not always so central the physics. Even thought the Coulomb cross section could have been computed by Newton, had he bothered to ask the right question, its calculation is generally attributed to Rutherford more than two hundred years later. Of course, Rutherford's calculation was in connection with the first experiment in nuclear physics.

IV: Analysis of Operators

1st Edition
Volume 4
April 28, 1978
Michael Reed + 1 more
English
eBook
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BESTSELLER of the XXth Century in Mathematical Physics voted on by participants of the XIIIth International Congress on Mathematical PhysicsThis revision will make this book mroe attractive as a textbook in functional analysis. Further refinement of coverage of physical topics will also reinforce its well-established use as a course book in mathemtical physics.

Invariant Variational Principles

1st Edition
Volume 138
February 22, 1978
Logan
English
eBook
9 7 8 0 0 8 0 9 5 6 4 7 3

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