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Author : S. N. Mergeli︠a︡n
Release : 1953
Genre : Functions of real variables
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis On a Theorem of L. A. Lavrentʹev by : S. N. Mergeli︠a︡n
Download or read book On a Theorem of L. A. Lavrentʹev written by S. N. Mergeli︠a︡n. This book was released on 1953. Available in PDF, EPUB and Kindle. Book excerpt:
Author : I. M. Gelfand
Release : 2012-04-26
Genre : Mathematics
Kind : eBook
Book Rating : 012/5 ( reviews)
Book Synopsis Calculus of Variations by : I. M. Gelfand
Download or read book Calculus of Variations written by I. M. Gelfand. This book was released on 2012-04-26. Available in PDF, EPUB and Kindle. Book excerpt: Fresh, lively text serves as a modern introduction to the subject, with applications to the mechanics of systems with a finite number of degrees of freedom. Ideal for math and physics students.
Author : Yakov Sinai
Release : 2003
Genre : Mathematics
Kind : eBook
Book Rating : 853/5 ( reviews)
Book Synopsis Russian Mathematicians in the 20th Century by : Yakov Sinai
Download or read book Russian Mathematicians in the 20th Century written by Yakov Sinai. This book was released on 2003. Available in PDF, EPUB and Kindle. Book excerpt: In the 20th century, many mathematicians in Russia made great contributions to the field of mathematics. This invaluable book, which presents the main achievements of Russian mathematicians in that century, is the first most comprehensive book on Russian mathematicians. It has been produced as a gesture of respect and appreciation for those mathematicians and it will serve as a good reference and an inspiration for future mathematicians. It presents differences in mathematical styles and focuses on Soviet mathematicians who often discussed “what to do” rather than “how to do it”. Thus, the book will be valued beyond historical documentation.The editor, Professor Yakov Sinai, a distinguished Russian mathematician, has taken pains to select leading Russian mathematicians — such as Lyapunov, Luzin, Egorov, Kolmogorov, Pontryagin, Vinogradov, Sobolev, Petrovski and Krein — and their most important works. One can, for example, find works of Lyapunov, which parallel those of Poincaré; and works of Luzin, whose analysis plays a very important role in the history of Russian mathematics; Kolmogorov has established the foundations of probability based on analysis. The editor has tried to provide some parity and, at the same time, included papers that are of interest even today.The original works of the great mathematicians will prove to be enjoyable to readers and useful to the many researchers who are preserving the interest in how mathematics was done in the former Soviet Union.
Author : Tadeĭ Ivanovich Zeleni︠a︡k
Release : 1997
Genre : Mathematics
Kind : eBook
Book Rating : 361/5 ( reviews)
Book Synopsis Qualitative theory of parabolic equations. 1 by : Tadeĭ Ivanovich Zeleni︠a︡k
Download or read book Qualitative theory of parabolic equations. 1 written by Tadeĭ Ivanovich Zeleni︠a︡k. This book was released on 1997. Available in PDF, EPUB and Kindle. Book excerpt: In the qualitative theory of ordinary differential equations, the Liapunov method plays a fundamental role. To use their analogs for the analysis of stability of solutions to parabolic, hyperparabolic, and other nonclassical equations and systems, time-invariant a priori estimates have to be devised for solutions. In this publication only parabolic problems are considered. Here lie, mainly, the problems which have been investigated most thoroughly --- the construction of Liapunov functionals which naturally generalize Liapunov functions for nonlinear parabolic equations of the second order with one spatial variable. The authors establish stabilizing solutions theorems, and the necessary and sufficient conditions of general and asymptotic stability of stationary solutions, including the so-called critical case. Attraction domains for stable solutions of mixed problems for these equations are described. Furthermore, estimates for the number of stationary solutions are obtained.
Author : Michiel Hazewinkel
Release : 2013-12-01
Genre : Mathematics
Kind : eBook
Book Rating : 885/5 ( reviews)
Book Synopsis Encyclopaedia of Mathematics by : Michiel Hazewinkel
Download or read book Encyclopaedia of Mathematics written by Michiel Hazewinkel. This book was released on 2013-12-01. Available in PDF, EPUB and Kindle. Book excerpt: This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.
