en
Products in the "Celestial Mechanics" Category from Jeff Weber Rare Books
Items in the "Celestial Mechanics" category at Jeff Weber Rare Books
https://www.weberrarebooks.com/feeds/newproducts/rss
1440
2023 Copyright © Jeff Weber Rare Books. All rights reserved
Wed, 31 May 2023 13:32:28 0500
Wed, 31 May 2023 13:32:28 0500
https://www.rssboard.org/rssspecification
ChrisLands.com
Support@ChrisLands.com (ChrisLands Inc.)
Jeff Weber Rare Books
weberrarebooks@gmail.com (Jeff Weber Rare Books)
20230531T13:32:2805:00

https://www.weberrarebooks.com/product/sku/S10336
2225137049S10336
20230531T13:32:2805:00
Celestial Mechanics.
Tall 8vo. vii, 381 pp. Index. Original navy blue cloth; spine mended, spine call nos. Exlibrary rubber stamp on front pastedown, ffep top margin torn. Scarce. FIRST EDITION. A classic work that is difficult to find in the original edition. Smart studied at Glasgow University and graduated with first class honors and was awarded the Cunninghame Medal for mathematics. Smart adhered to the "mathematical rigors of fundamental astronomy. . ." He was professor of Astronomy at the University of Glasgow, succeeding Ludwig Becker. [Hockey & Trimble, Biographical Encyclopedia of Astronomers, II, p. 1067]. Kdg First Edition.
Visit www.weberrarebooks.com
Tall 8vo. vii, 381 pp. Index. Original navy blue cloth; spine mended, spine call nos. Exlibrary rubber stamp on front pastedown, ffep top margin torn. Scarce. FIRST EDITION. A classic work that is difficult to find in the original edition. Smart studied at Glasgow University and graduated with first class honors and was awarded the Cunninghame Medal for mathematics. Smart adhered to the "mathematical rigors of fundamental astronomy. . ." He was professor of Astronomy at the University of Glasgow, succeeding Ludwig Becker. [Hockey & Trimble, Biographical Encyclopedia of Astronomers, II, p. 1067]. Kdg First Edition.
Visit www.weberrarebooks.com
SMART, William M. (18891975).
Wed, 31 May 2023 13:32:28 0500
Jeff Weber Rare Books

https://www.weberrarebooks.com/product/sku/S9408
2225136562S9408
20230531T13:32:2805:00
Celestial Mechanics.
3 volumes [Including Vol. 1, 2 (parts 1 & 2). 8vo. Various pagination. Figs., bibliog., index. Gilt, silver and redstamped black cloth; vols. 2 & 3 have dust jackets. Ownership signature of Joseph M. Juarez in vol. 2. Very good. RARE. Yusuke Hagihara (18971979), Japanese celestial mathematician, received his Ph.D. in 1930 from the University of Tokyo ? where he taught till his retirement in 1957. His field was more particularly perturbation theory and the stability of the solar system. This work was issued in 5 volumes, being a complete survey of the field comparable to those works of Laplace and Tisserand wrote in the past. He won the James Craig Watson Medal in 1960 [Wikip.]. ? Lankford, History of Astronomy, p. 249. " The launching of space vehicles has given rise to a broadened interest in the problems of celestial mechanics, and the availability of computers has made practical the solution of some of the more numerically unwieldy of the problems. These circumstances only further enhance the importance of the appearance of Celestial Mechanics, to be published in five volumes. This treatise is by far the most extensive of its kind and it rigorously develops the full mathematical theory. The emphasis is on the results obtained during the past hundred years, although the classical mechanics from the time of Laplace is also reviewed. The author writes that "The trend of celestial mechanics at this stage of machine computers should be directed toward studying the general behavior of trajectories on rigorous mathematical foundations, so as to check the results of numerical computation, and at the same time toward estimating the errors involved in using nonconvergent series expansions within the accuracy to be expected from the limited observation time. Thus the science of celestial mechanics is now confronting a new revolutionary era by abruptly moving from reliance on the old weapon of series expansions toward rigorous mathematical discussion of the physical behavior of the trajectories for an unlimited time. The artificial satellites and planets are offering us the more difficult and more general problems of studying motions widely different from those of natural objects hitherto discussed in celestial mechanics. This new aspect completely surpasses the apparent elegance of the oldfashioned celestial mechanics, and its importance cannot be overemphasized." This first volume is divided into six chapters. The first develops the principles of analytical dynamics. From the variational principle of Hamilton, and using the calculus of variations, Hamilton's canonical form of the differential equations is deduced. As an introduction to the topological study of dynamical trajectories, Riemannian geometry is described as it pertains to the quadratic form of kinetic energy. The second chapter deals with quasiperiodic motions. The third is devoted to particular solutions of the threebody and manybody problems. Euler's and Lagrange's types of particular solutions are obtained for the nbody problem in a general manner, and the nature of the motion is fully analyzed. The isoscelestriangular solution is discussed on the basis of the theory of analytic functions. The fourth chapter takes up Lie's theory of continuous groups of transformations, with application to the nbody problem. A summary of the modern theory of Lie groups is given with a view to suggesting a new trend of development. In Chapter 5, the differential equations of the nbody problem are reduced by using the known integrals. The last chapter concerns Burns' and Poincare's theorems. This work was prepared editorially at NASA's Goddard Space Flight Center." MIT issued volumes 3, 4,5, in Tokyo, not part of the set we offer for sale here. Dust jacket present.
Visit www.weberrarebooks.com
3 volumes [Including Vol. 1, 2 (parts 1 & 2). 8vo. Various pagination. Figs., bibliog., index. Gilt, silver and redstamped black cloth; vols. 2 & 3 have dust jackets. Ownership signature of Joseph M. Juarez in vol. 2. Very good. RARE. Yusuke Hagihara (18971979), Japanese celestial mathematician, received his Ph.D. in 1930 from the University of Tokyo ? where he taught till his retirement in 1957. His field was more particularly perturbation theory and the stability of the solar system. This work was issued in 5 volumes, being a complete survey of the field comparable to those works of Laplace and Tisserand wrote in the past. He won the James Craig Watson Medal in 1960 [Wikip.]. ? Lankford, History of Astronomy, p. 249. " The launching of space vehicles has given rise to a broadened interest in the problems of celestial mechanics, and the availability of computers has made practical the solution of some of the more numerically unwieldy of the problems. These circumstances only further enhance the importance of the appearance of Celestial Mechanics, to be published in five volumes. This treatise is by far the most extensive of its kind and it rigorously develops the full mathematical theory. The emphasis is on the results obtained during the past hundred years, although the classical mechanics from the time of Laplace is also reviewed. The author writes that "The trend of celestial mechanics at this stage of machine computers should be directed toward studying the general behavior of trajectories on rigorous mathematical foundations, so as to check the results of numerical computation, and at the same time toward estimating the errors involved in using nonconvergent series expansions within the accuracy to be expected from the limited observation time. Thus the science of celestial mechanics is now confronting a new revolutionary era by abruptly moving from reliance on the old weapon of series expansions toward rigorous mathematical discussion of the physical behavior of the trajectories for an unlimited time. The artificial satellites and planets are offering us the more difficult and more general problems of studying motions widely different from those of natural objects hitherto discussed in celestial mechanics. This new aspect completely surpasses the apparent elegance of the oldfashioned celestial mechanics, and its importance cannot be overemphasized." This first volume is divided into six chapters. The first develops the principles of analytical dynamics. From the variational principle of Hamilton, and using the calculus of variations, Hamilton's canonical form of the differential equations is deduced. As an introduction to the topological study of dynamical trajectories, Riemannian geometry is described as it pertains to the quadratic form of kinetic energy. The second chapter deals with quasiperiodic motions. The third is devoted to particular solutions of the threebody and manybody problems. Euler's and Lagrange's types of particular solutions are obtained for the nbody problem in a general manner, and the nature of the motion is fully analyzed. The isoscelestriangular solution is discussed on the basis of the theory of analytic functions. The fourth chapter takes up Lie's theory of continuous groups of transformations, with application to the nbody problem. A summary of the modern theory of Lie groups is given with a view to suggesting a new trend of development. In Chapter 5, the differential equations of the nbody problem are reduced by using the known integrals. The last chapter concerns Burns' and Poincare's theorems. This work was prepared editorially at NASA's Goddard Space Flight Center." MIT issued volumes 3, 4,5, in Tokyo, not part of the set we offer for sale here. Dust jacket present.
Visit www.weberrarebooks.com
HAGIHARA, Yusuke.
Wed, 31 May 2023 13:32:28 0500
Jeff Weber Rare Books