Proceedings of an All-Union School on the Theory of Functions (Miass, July 1989)
Proceedings of an All-Union School on the Theory of Functions (Miass, July 1989)

Author: S. B. Stechkin

Publisher: American Mathematical Soc.

Published: 1994

Total Pages: 268

ISBN-13: 9780821831533

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This volume contains papers presented at the All-Union School on the Theory of Functions, held in Miass in July 1989. The papers examine topical trends in the theory of functions and their approximation. Among the topics included are extremal properties of functions, approximation and interpolation of functions by trigonometric polynomials and splines, widths of function classes, best approximation of operators, cubature formulas, and classical problems of analytic number theory.

Catastrophe Theory
Catastrophe Theory

Author: Vladimir I. Arnol'd

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 161

ISBN-13: 3642581242

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The new edition of this non-mathematical review of catastrophe theory contains updated results and many new or expanded topics including delayed loss of stability, shock waves, and interior scattering. Three new sections offer the history of singularity and its applications from da Vinci to today, a discussion of perestroika in terms of the theory of metamorphosis, and a list of 93 problems touching on most of the subject matter in the book.

Energy and Mass in Relativity Theory
Energy and Mass in Relativity Theory

Author: Lev Borisovich Okun

Publisher: World Scientific

Published: 2009

Total Pages: 323

ISBN-13: 9812814116

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Energy and Mass in Relativity Theory presents about 30 pedagogical papers published by the author over the last 20 years. They deal with concepts central to relativity theory: energy E, rest energy E0, momentum p, mass m, velocity v of particles of matter, including massless photons for which v = c. Other related subjects are also discussed. According to Einstein's equation E0 = mc2, a massive particle at rest contains rest energy which is partly liberated in the nuclear reactions in the stars and the Sun, as well as in nuclear reactors and bombs on the Earth. The mass entering Einstein's equation does not depend on velocity of a body. This concept of mass is used in the physics of elementary particles and is gradually prevailing in the modern physics textbooks. This is the first book in which Einstein's equation is explicitly compared with its popular though not correct counterpart E = mc2, according to which mass increases with velocity. The book will be of interest to researchers in theoretical, atomic and nuclear physics, to historians of science as well as to students and teachers interested in relativity theory.