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Author: Raymond Lyttleton Publisher: Cambridge University Press ISBN: 1107615585 Category : Science Languages : en Pages : 161
Book Description
This 1953 book by British astronomer Raymond Arthur Lyttleton presents an account of advances in relation to a classical problem of mathematical astronomy. The text is mainly concerned with those parts of the theory most directly involved in determining the evolution of gravitating liquid masses.
Author: Raymond Lyttleton Publisher: Cambridge University Press ISBN: 1107615585 Category : Science Languages : en Pages : 161
Book Description
This 1953 book by British astronomer Raymond Arthur Lyttleton presents an account of advances in relation to a classical problem of mathematical astronomy. The text is mainly concerned with those parts of the theory most directly involved in determining the evolution of gravitating liquid masses.
Author: Yakov Sinai Publisher: World Scientific ISBN: 9789812383853 Category : Mathematics Languages : en Pages : 716
Book Description
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: E.I. Grigolyuk Publisher: Springer Science & Business Media ISBN: 9780792309475 Category : Technology & Engineering Languages : en Pages : 286
Book Description
Interest in nonlinear problems in mechanics has been revived and intensified by the capacity of digital computers. Consequently, a question offundamental importance is the development of solution procedures which can be applied to a large class of problems. Nonlinear problems with a parameter constitute one such class. An important aspect of these problems is, as a rule, a question of the variation of the solution when the parameter is varied. Hence, the method of continuing the solution with respect to a parameter is a natural and, to a certain degree, universal tool for analysis. This book includes details of practical problems and the results of applying this method to a certain class of nonlinear problems in the field of deformable solid mechanics. In the Introduction, two forms of the method are presented, namely continu ous continuation, based on the integration of a Cauchy problem with respect to a parameter using explicit schemes, and discrete continuation, implementing step wise processes with respect to a parameter with the iterative improvement of the solution at each step. Difficulties which arise in continuing the solution in the neighbourhood of singular points are discussed and the problem of choosing the continuation parameter is formulated.
Author: Antonio Ambrosetti Publisher: Springer Science & Business Media ISBN: 0817681140 Category : Mathematics Languages : en Pages : 203
Book Description
This self-contained textbook provides the basic, abstract tools used in nonlinear analysis and their applications to semilinear elliptic boundary value problems and displays how various approaches can easily be applied to a range of model cases. Complete with a preliminary chapter, an appendix that includes further results on weak derivatives, and chapter-by-chapter exercises, this book is a practical text for an introductory course or seminar on nonlinear functional analysis.
Author: Raymond Lyttleton
Author: Raymond Lyttleton
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Author: Yakov Sinai
Author: A. F. Leont'Ev
Author: E.I. Grigolyuk
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Author: Antonio Ambrosetti