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Ellipsoidal Figures of Equilibrium

Ellipsoidal Figures of Equilibrium PDF Author: Subrahmanyan Chandrasekhar
Publisher:
ISBN: 9780300011166
Category : Astrodynamique
Languages : en
Pages : 252

Book Description
Classical investigations on the ellipsoidal figures of equilibrium of liquid masses are here enlarged by Chandrasekhar into a complete theory. The author develops and completes the basic ideas put forth in three fundamental papers by Dirichlet, Dedekind, and Riemann over a century ago, which have been all but ignored since that time. The various problems are solved by a method and a technique that are essentially elementary, and a number of common misconceptions and errors are corrected. After a historical introduction, the author goes on to discuss virial equations of the various orders and to describe his new method; potentials of homogeneous and heterogeneous ellipsoids (including theorems on a class of heterogeneous ellipsoids which enable the treatment of the subject without explicit use of ellipsoidal harmonics); Dirichlet's problem and Dedekind's theorem; Maclaurin spheroids; Jacobi and Dedekind ellipsoid; Riemann ellipsoids; Roche ellipsoids (Including Darwin ellipsoids).

Ellipsoidal Figures of Equilibrium

Ellipsoidal Figures of Equilibrium PDF Author: Subrahmanyan Chandrasekhar
Publisher:
ISBN: 9780300011166
Category : Astrodynamique
Languages : en
Pages : 252

Book Description
Classical investigations on the ellipsoidal figures of equilibrium of liquid masses are here enlarged by Chandrasekhar into a complete theory. The author develops and completes the basic ideas put forth in three fundamental papers by Dirichlet, Dedekind, and Riemann over a century ago, which have been all but ignored since that time. The various problems are solved by a method and a technique that are essentially elementary, and a number of common misconceptions and errors are corrected. After a historical introduction, the author goes on to discuss virial equations of the various orders and to describe his new method; potentials of homogeneous and heterogeneous ellipsoids (including theorems on a class of heterogeneous ellipsoids which enable the treatment of the subject without explicit use of ellipsoidal harmonics); Dirichlet's problem and Dedekind's theorem; Maclaurin spheroids; Jacobi and Dedekind ellipsoid; Riemann ellipsoids; Roche ellipsoids (Including Darwin ellipsoids).

Ellipsoidal Figures of Equilibrium

Ellipsoidal Figures of Equilibrium PDF Author: Subrahmanyan Chandrasekhar
Publisher: Dover Publications
ISBN:
Category : Mathematics
Languages : en
Pages : 296

Book Description


Selected Papers, Volume 4

Selected Papers, Volume 4 PDF Author: Subrahmanyan Chandrasekhar
Publisher: University of Chicago Press
ISBN: 9780226100968
Category : Psychology
Languages : en
Pages : 616

Book Description
This is the fourth of six volumes collecting significant papers of the distinguished astrophysicist and Nobel laureate S. Chandrasekhar. His work is notable for its breadth as well as for its brilliance; his practice has been to change his focus from time to time to pursue new areas of research. The result has been a prolific career full of discoveries and insights, some of which are only now being fully appreciated. Chandrasekhar has selected papers that trace the development of his ideas and that present aspects of his work not fully covered in the books he has periodically published to summarize his research in each area. Volume 4 has three parts. The first, on plasma physics, includes joint work with A. N. Kaufman and K. M. Watson on the stability of the pinch, as well as a paper on Chandrasekhar's own approach to the topic of adiabatic invariants. Part 2 includes work with specific scientific applications of hydrodynamic and hydromagnetic stability not covered in his monograph on the subject. The final part contains Chandrasekhar's papers on the scientific applications of the tensor-virial theorem, in which he restores to its proper place Riemann's neglected work with ellipsoidal figures.

A Scientific Autobiography

A Scientific Autobiography PDF Author: Kameshwar C. Wali
Publisher: World Scientific
ISBN: 9814299588
Category : Science
Languages : en
Pages : 296

Book Description
S. Chandrasekhar, popularly known as Chandra, was one of the foremost scientists of the 20th century. The year 2010 marks the birth centenary of Chandra. His unique style of research, inward bound, seeking a personal perspective to master a particular field, and then pass on to another was so unique that it will draw considerable interest and attention among scholars. As Chandra elucidates in the preface, "The various installments describe in detail the evolution of my scientific work during the past forty years and records each investigation, describing the doubts and the successes, the trials and the tribulations. And the parts my various associates and assistants played in the completion of the different investigations are detailed." It is indeed a remarkable and rare document, fascinating to read and experience the joys, frustrations and struggles of a creative mind. In addition, a compilation of selected correspondence, which includes his correspondence with his father, some family members and other well-known scientists of the 20th century, will provide an interesting insight into the life of an extraordinary scientist.

Theories of Equilibrium Figures of a Rotating Homogeneous Fluid Mass

Theories of Equilibrium Figures of a Rotating Homogeneous Fluid Mass PDF Author: Yūsuke Hagihara
Publisher:
ISBN:
Category : Potential theory (Mathematics)
Languages : en
Pages : 180

Book Description


Selected Papers, Volume 7

Selected Papers, Volume 7 PDF Author: Subrahmanyan Chandrasekhar
Publisher: University of Chicago Press
ISBN: 9780226101033
Category : Biography & Autobiography
Languages : en
Pages : 308

Book Description
In these selections readers are treated to a rare opportunity to see the world through the eyes of one of the twentieth century's most brilliant and sensitive scientists. Conceived by Chandrasekhar as a supplement to his Selected Papers, this volume begins with eight papers he wrote with Valeria Ferrari on the non-radial oscillations of stars. It then explores some of the themes addressed in Truth and Beauty, with meditations on the aesthetics of science and the world it examines. Highlights include: "The Series Paintings of Claude Monet and the Landscape of General Relativity," "The Perception of Beauty and the Pursuit of Science," "On Reading Newton's Principia at Age Past Eighty," and personal recollections of Indira Gandhi, Jawaharlal Nehru, and others. Selected Papers, Volume 7 paints a picture of Chandra's universe, filled with stars and galaxies, but with space for poetics, paintings, and politics. The late S. Chandrasekhar was best known for his discovery of the upper limit to the mass of a white dwarf star, for which he received the Nobel Prize in Physics in 1983. He was the author of many books, including The Mathematical Theory of Black Holes and, most recently, Newton's Principia for the Common Reader.

Handbook of Geomathematics

Handbook of Geomathematics PDF Author: Willi Freeden
Publisher: Springer Science & Business Media
ISBN: 364201545X
Category : Mathematics
Languages : en
Pages : 1371

Book Description
During the last three decades geosciences and geo-engineering were influenced by two essential scenarios: First, the technological progress has changed completely the observational and measurement techniques. Modern high speed computers and satellite based techniques are entering more and more all geodisciplines. Second, there is a growing public concern about the future of our planet, its climate, its environment, and about an expected shortage of natural resources. Obviously, both aspects, viz. efficient strategies of protection against threats of a changing Earth and the exceptional situation of getting terrestrial, airborne as well as spaceborne data of better and better quality explain the strong need of new mathematical structures, tools, and methods. Mathematics concerned with geoscientific problems, i.e., Geomathematics, is becoming increasingly important. The ‘Handbook Geomathematics’ as a central reference work in this area comprises the following scientific fields: (I) observational and measurement key technologies (II) modelling of the system Earth (geosphere, cryosphere, hydrosphere, atmosphere, biosphere) (III) analytic, algebraic, and operator-theoretic methods (IV) statistical and stochastic methods (V) computational and numerical analysis methods (VI) historical background and future perspectives.

Radiative Transfer

Radiative Transfer PDF Author: Subrahmanyan Chandrasekhar
Publisher: Courier Corporation
ISBN: 0486318451
Category : Science
Languages : en
Pages : 418

Book Description
This book by a Nobel Laureate provides the foundation for analysis of stellar atmospheres, planetary illumination, and sky radiation. Suitable for students and professionals in physics, nuclear physics, astrophysics, and atmospheric studies. 1950 edition.

Quest For Perspectives: Selected Works Of S Chandrasekhar, A (With Commentary) (In 2 Vols)

Quest For Perspectives: Selected Works Of S Chandrasekhar, A (With Commentary) (In 2 Vols) PDF Author: Kameshwar C Wali
Publisher: World Scientific
ISBN: 1783261846
Category : Science
Languages : en
Pages : 1449

Book Description
This invaluable book presents selected papers of S Chandrasekhar, co-winner of the Nobel Prize for Physics in 1983 and a scientific giant well known for his prolific and monumental contributions to astrophysics, physics and applied mathematics. The reader will find here most of Chandrasekhar's articles that led to major developments in various areas of physics and astrophysics. There are also articles of a popular and historical nature, as well as some hitherto unpublished material based on Chandrasekhar's talks at conferences. Each section of the book contains annotations by the editor.

A treatise of fluxions

A treatise of fluxions PDF Author: Colin MacLaurin
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 482

Book Description