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Book The General Problem of the Motion of Coupled Rigid Bodies about a Fixed Point

Download or read book The General Problem of the Motion of Coupled Rigid Bodies about a Fixed Point written by Eugene Leimanis and published by Springer Science & Business Media. This book was released on 2013-03-13 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the theory of motion of several coupled rigid bodies about a fixed point one can distinguish three basic ramifications. 1. The first, the so-called classical direction of investigations, is concerned with particular cases of integrability ot the equations of motion of a single rigid body about a fixed point,1 and with their geo metrical interpretation. This path of thought was predominant until the beginning of the 20th century and its most illustrious represen tatives are L. EULER (1707-1783), J L. LAGRANGE (1736-1813), L. POINSOT (1777-1859), S. V. KOVALEVSKAYA (1850-1891), and others. Chapter I of the present monograph intends to reflect this branch of investigations. For collateral reading on the general questions dealt with in this chapter the reader is referred to the following textbooks and reports: A. DOMOGAROV [1J, F. KLEIN and A. SOMMERFELD [11, 1 , 1 J, A. G. 2 3 GREENHILL [10J, A. GRAY [1J, R. GRAMMEL [4 J, E. J. ROUTH [21' 2 , 1 2 31' 32J, J. B. SCARBOROUGH [1J, and V. V. GOLUBEV [1, 2J.

Book Operator Methods in Ordinary and Partial Differential Equations

Download or read book Operator Methods in Ordinary and Partial Differential Equations written by Sergio Albeverio and published by Birkhäuser. This book was released on 2012-12-06 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: CO«i»b.H BaCHJIbeBHa lU>BaJIeBcR8JI (Sonja Kovalevsky) was born in Moscow in 1850 and died in Stockholm in 1891. Between these years, in the then changing and turbulent circumstances for Europe, lies the all too brief life of this remarkable woman. This life was lived out within the great European centers of power and learning in Russia, France, Germany, Switzerland, England and Sweden. To this day, now 150 years after her birth, her influence for and contribution to mathe matics, science, literature, women's rights and democratic government are recorded and reviewed, not only in Europe but now in countries far removed in time and distance from the lands of her birth and being. This volume, dedicated to her memory and to her achievements, records the Proceedings of the Marcus Wallenberg Symposium held, in memory of Sonja Kovalevsky, at Stockholm University from 18 to 22 June 2000. The symposium was held at the Department of Mathematics with its excellent library and lecture halls providing favourable working conditions. Within these pages are contained a curriculum vitae for Sonja Kovalevsky, a list of all her scientific publications, together with a copy of the moving and elegant obituary notice written by her friend and protector Gosta Mittag-Leffler. These papers are followed by a leading article entitled Sonja Kovalevsky: Her life and professorship in Stockholm, written especially for this volume by Jan-Erik Bjork in preparation for his major address to the Symposium.

Book Revue Semestrielle Des Publications Math  matiques

Download or read book Revue Semestrielle Des Publications Math matiques written by and published by . This book was released on 1906 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Integrable Systems

    Book Details:
  • Author : Ahmed Lesfari
  • Publisher : John Wiley & Sons
  • Release : 2022-07-13
  • ISBN : 1786308274
  • Pages : 340 pages

Download or read book Integrable Systems written by Ahmed Lesfari and published by John Wiley & Sons. This book was released on 2022-07-13 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book illustrates the powerful interplay between topological, algebraic and complex analytical methods, within the field of integrable systems, by addressing several theoretical and practical aspects. Contemporary integrability results, discovered in the last few decades, are used within different areas of mathematics and physics. Integrable Systems incorporates numerous concrete examples and exercises, and covers a wealth of essential material, using a concise yet instructive approach. This book is intended for a broad audience, ranging from mathematicians and physicists to students pursuing graduate, Masters or further degrees in mathematics and mathematical physics. It also serves as an excellent guide to more advanced and detailed reading in this fundamental area of both classical and contemporary mathematics.

Book Rigid Body Dynamics

    Book Details:
  • Author : Alexey Borisov
  • Publisher : Walter de Gruyter GmbH & Co KG
  • Release : 2018-12-03
  • ISBN : 311054444X
  • Pages : 530 pages

Download or read book Rigid Body Dynamics written by Alexey Borisov and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-12-03 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an up-to-date overview of results in rigid body dynamics, including material concerned with the analysis of nonintegrability and chaotic behavior in various related problems. The wealth of topics covered makes it a practical reference for researchers and graduate students in mathematics, physics and mechanics. Contents Rigid Body Equations of Motion and Their Integration The Euler – Poisson Equations and Their Generalizations The Kirchhoff Equations and Related Problems of Rigid Body Dynamics Linear Integrals and Reduction Generalizations of Integrability Cases. Explicit Integration Periodic Solutions, Nonintegrability, and Transition to Chaos Appendix A : Derivation of the Kirchhoff, Poincaré – Zhukovskii, and Four-Dimensional Top Equations Appendix B: The Lie Algebra e(4) and Its Orbits Appendix C: Quaternion Equations and L-A Pair for the Generalized Goryachev – Chaplygin Top Appendix D: The Hess Case and Quantization of the Rotation Number Appendix E: Ferromagnetic Dynamics in a Magnetic Field Appendix F: The Landau – Lifshitz Equation, Discrete Systems, and the Neumann Problem Appendix G: Dynamics of Tops and Material Points on Spheres and Ellipsoids Appendix H: On the Motion of a Heavy Rigid Body in an Ideal Fluid with Circulation Appendix I: The Hamiltonian Dynamics of Self-gravitating Fluid and Gas Ellipsoids

Book Revue Semestrielle Des Publications Mathematiques

Download or read book Revue Semestrielle Des Publications Mathematiques written by and published by . This book was released on 1905 with total page 788 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book International Catalogue of Scientific Literature  1901 1914

Download or read book International Catalogue of Scientific Literature 1901 1914 written by and published by . This book was released on 1902 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Hamiltonian Systems and Their Integrability

Download or read book Hamiltonian Systems and Their Integrability written by Mich'le Audin and published by American Mathematical Soc.. This book was released on 2008 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book presents some modern techniques in the theory of integrable systems viewed as variations on the theme of action-angle coordinates. These techniques include analytical methods coming from the Galois theory of differential equations, as well as more classical algebro-geometric methods related to Lax equations. This book would be suitable for a graduate course in Hamiltonian systems."--BOOK JACKET.

Book International Catalogue of Scientific Literature

Download or read book International Catalogue of Scientific Literature written by and published by . This book was released on 1908 with total page 770 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Rendiconti Del Circolo Matematico Di Palermo

Download or read book Rendiconti Del Circolo Matematico Di Palermo written by and published by . This book was released on 1910 with total page 1096 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Rendiconti del Seminario matematico della Universit   di Padova

Download or read book Rendiconti del Seminario matematico della Universit di Padova written by Università di Padova. Seminario matematico and published by . This book was released on 1981 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book The Anatomy of the Gyroscope

Download or read book The Anatomy of the Gyroscope written by Frank W. Cousins and published by . This book was released on 1988 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This report on the gyroscope and its applications collates the technical information to be found in the patent literature, augmented by that residing in the text books and technical journals. The report is in three parts; Part I is a patent survey arranged in a detailed classification, Part II comprises a bibliography of the references in Part I and Part III, published as a separate volume, gives historical notes and comments on the material of Parts I and II.