THE RADON TRANSFORM AND SOME OF ITS APPLICATIONS DOVER BOOKS ON MATHEMATICS

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Of value to mathematicians, physicists, and engineers, this excellent introduction to Radon transform covers both theory and applications, with a rich array of examples and literature that forms a valuable reference. This 1993 edition is a revised and updated version by the author of his pioneering work.

A noted research mathematician explores decision making in the absence of perfect information. His clear presentation of the mathematical theory of games of strategy encompasses applications to many fields, including economics, military, business, and operations research. No advanced algebra or non-elementary calculus occurs in most of the proofs.

The writings of Newton, Leibniz, Pascal, Riemann, Bernoulli, and others in a comprehensive selection of 125 treatises dating from the Renaissance to the late 19th century — most unavailable elsewhere.

Author: A. A. Abrikosov,L. P. Gorkov,I. E. Dzyaloshinski

Publisher: Courier Corporation

ISBN: 0486140156

Category: Science

Page: 384

View: 4525

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This comprehensive introduction to the many-body theory was written by three renowned physicists and acclaimed by American Scientist as "a classic text on field theoretic methods in statistical physics."

Shorter version of Markushevich's Theory of Functions of a Complex Variable, appropriate for advanced undergraduate and graduate courses in complex analysis. More than 300 problems, some with hints and answers. 1967 edition.

Philosophic, less formalistic approach to analytical mechanics offers model of clear, scholarly exposition at graduate level with coverage of basics, calculus of variations, principle of virtual work, equations of motion, more.

Volume 1 of 3-volume set containing complete English text of all 13 books of the Elements plus critical analysis of each definition, postulate, and proposition. Vol. 1 includes Introduction, Books I and II: Triangles, rectangles.

Introduction to problems of molecular structure and motion covers calculus of orthogonal functions, algebra of vector spaces, and Lagrangian and Hamiltonian formulation of classical mechanics. Answers to problems. 1966 edition.

Massive compilation offers detailed, in-depth discussions of vector spaces, Hahn-Banach theorem, fixed-point theorems, duality theory, Krein-Milman theorem, theory of compact operators, much more. Many examples and exercises. 32-page bibliography. 1965 edition.

The new edition is significantly updated and expanded. This unique collection of review articles, ranging from fundamental concepts up to latest applications, contains individual contributions written by renowned experts in the relevant fields. Much attention is paid to ensuring fast access to the information, with each carefully reviewed article featuring cross-referencing, references to the most relevant publications in the field, and suggestions for further reading, both introductory as well as more specialized. While the chapters on group theory, integral transforms, Monte Carlo methods, numerical analysis, perturbation theory, and special functions are thoroughly rewritten, completely new content includes sections on commutative algebra, computational algebraic topology, differential geometry, dynamical systems, functional analysis, graph and network theory, PDEs of mathematical physics, probability theory, stochastic differential equations, and variational methods.

Zusammen mit der Abstraktion ist die Mathematik das entscheidende Werkzeug für technologische Innovationen. Das Buch bietet eine Einführung in zahlreiche Anwendungen der Mathematik auf dem Gebiet der Technologie. Meist werden moderne Anwendungen dargestellt, die heute zum Alltag gehören. Die mathematischen Grundlagen für technologische Anwendungen sind dabei relativ elementar, was die Leistungsstärke der mathematischen Modellbildung und der mathematischen Hilfsmittel beweist. Mit zahlreichen originellen Übungen am Ende eines jeden Kapitels.

Approximately 50% of all seismic surveys on land are performed using a seismic vibrator as a source. To obtain an accurate image of the earth, one needs to know the input signal to remove its effect on the seismogram. One of the main advantages of the Vibroseis source over impulsive sources like dynamite is the control one has over the emitted signal. To establish which signal on the vibrator needs to be monitored for this purpose (feedback signal), both the behaviour of the earth and of the vibrator must be understood. Discussion in the literature on the choice of feedback signal started in the 1980's, when Lerwill (1981) and Sallas and Weber (1982) raised this issue.This book presents a sound theoretical foundation to evaluate existing and new methods of signal control, and compares theoretical results with real data. Another slightly more theoretical issue discussed in the literature is the general problem of a plate (or disk) vibrating on the earth. The most famous paper in this respect is by Miller and Pursey (1954). The non-uniform distributions of traction and displacement under the plate that are measured in the field have never been included before, but this volume presents new models which account for this non-uniformity. One of these new models includes the bending of the baseplate. The behaviour of the vibrator can only be understood when vibrator and earth are coupled. Usually, either the earth model is very simple (e.g. a spring-dashpot model), or the vibrator model is very simple (e.g. uniform traction under the plate), or both. Included are accurate models for both vibrator and earth, and results for the coupled earth-vibrator model.Most articles on marine vibroseis only deal with the problem of smearing of the data due to the movement of the source and receiver through the water. Many other aspects of the marine vibrator (for example far field relations, power output, feedback signal) are considered in this volume.

These four volumes contain the almost 12,000 reviews appearing in Mathematical Reviews under primary or secondary subject classification 46, Functional Analysis, between 1980 and 1986.