Theories of Figures of Celestial Bodies PDF Download

Author: Wenceslas S. Jardetzky
Publisher: Courier Corporation
ISBN: 0486174662
Category : Science
Languages : en
Pages : 206

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Book Description
Suitable for upper-level undergraduates and graduate students, this text explores the most exact methods used in the theory of figures of equilibrium. It also examines problems concerning the figures of celestial bodies, including invariable or varying figures, zonal rotation, systems composed of fluid and rigid parts, and more. 1958 edition.

Author: Yūsuke Hagihara
Publisher:
ISBN:
Category : Potential theory (Mathematics)
Languages : en
Pages : 180

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Book Description

Author: Raymond Lyttleton
Publisher: Cambridge University Press
ISBN: 1107615585
Category : Science
Languages : en
Pages : 161

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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

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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: Lamberto Cesari
Publisher: Academic Press
ISBN: 1483262030
Category : Mathematics
Languages : en
Pages : 366

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Book Description
Dynamical Systems: An International Symposium, Volume 1 contains the proceedings of the International Symposium on Dynamical Systemsheld at Brown University in Providence, Rhode Island, on August 12-16, 1974. The symposium provided a forum for reviewing the theory of dynamical systems in relation to ordinary and functional differential equations, as well as the influence of this approach and the techniques of ordinary differential equations on research concerning certain types of partial differential equations and evolutionary equations in general. Comprised of 29 chapters, this volume begins with an introduction to some aspects of the qualitative theory of differential equations, followed by a discussion on the Lefschetz fixed-point formula. Nonlinear oscillations in the frame of alternative methods are then examined, along with topology and nonlinear boundary value problems. Subsequent chapters focus on bifurcation theory; evolution governed by accretive operators; topological dynamics and its relation to integral equations and non-autonomous systems; and non-controllability of linear time-invariant systems using multiple one-dimensional linear delay feedbacks. The book concludes with a description of sufficient conditions for a relaxed optimal control problem. This monograph will be of interest to students and practitioners in the field of applied mathematics.

Author: R. E. Gaines
Publisher: Springer
ISBN: 3540375015
Category : Mathematics
Languages : en
Pages : 267

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Book Description

Author: J. Mawhin
Publisher: American Mathematical Soc.
ISBN: 082181690X
Category : Mathematics
Languages : en
Pages : 130

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Book Description
Contains lectures from the CBMS Regional Conference held at Harvey Mudd College, June 1977. This monograph consists of applications to nonlinear differential equations of the author's coincidental degree. It includes an bibliography covering many aspects of the modern theory of nonlinear differential equations and the theory of nonlinear analysis.

Author: Iosif I. Vorovich
Publisher: Springer Science & Business Media
ISBN: 0387227768
Category : Technology & Engineering
Languages : en
Pages : 404

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Book Description
This book presents rigorous treatment of boundary value problems in nonlinear theory of shallow shells. The consideration of the problems is carried out using methods of nonlinear functional analysis.

Author:
Publisher:
ISBN:
Category : Mathematics
Languages : fr
Pages : 732

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Author: Youssef Jabri
Publisher: Cambridge University Press
ISBN: 9781139440813
Category : Mathematics
Languages : en
Pages : 390

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Book Description
This 2003 book presents min-max methods through a study of the different faces of the celebrated Mountain Pass Theorem (MPT) of Ambrosetti and Rabinowitz. The reader is led from the most accessible results to the forefront of the theory, and at each step in this walk between the hills, the author presents the extensions and variants of the MPT in a complete and unified way. Coverage includes standard topics, but it also covers other topics covered nowhere else in book form: the non-smooth MPT; the geometrically constrained MPT; numerical approaches to the MPT; and even more exotic variants. Each chapter has a section with supplementary comments and bibliographical notes, and there is a rich bibliography and a detailed index to aid the reader. The book is suitable for researchers and graduate students. Nevertheless, the style and the choice of the material make it accessible to all newcomers to the field.