Cantitate/Preț
Produs

Dynamical Systems X: General Theory of Vortices: Encyclopaedia of Mathematical Sciences, cartea 67

Autor Victor V. Kozlov
en Limba Engleză Paperback – dec 2010
The English teach mechanics as an experimental science, while on the Continent, it has always been considered a more deductive and a priori science. Unquestionably, the English are right. * H. Poincare, Science and Hypothesis Descartes, Leibnitz, and Newton As is well known, the basic principles of dynamics were stated by New­ ton in his famous work Philosophiae Naturalis Principia Mathematica, whose publication in 1687 was paid for by his friend, the astronomer Halley. In essence, this book was written with a single purpose: to prove the equivalence of Kepler's laws and the assumption, suggested to Newton by Hooke, that the acceleration of a planet is directed toward the center of the Sun and decreases in inverse proportion to the square of the distance between the planet and the Sun. For this, Newton needed to systematize the principles of dynamics (which is how Newton's famous laws appeared) and to state the "theory of fluxes" (analysis of functions of one variable). The principle of the equality of an action and a counteraction and the inverse square law led Newton to the theory of gravitation, the interaction at a distance. In addition, New­ ton discussed a large number of problems in mechanics and mathematics in his book, such as the laws of similarity, the theory of impact, special vari­ ational problems, and algebraicity conditions for Abelian integrals. Almost everything in the Principia subsequently became classic. In this connection, A. N.
Citește tot Restrânge

Toate formatele și edițiile

Toate formatele și edițiile Preț Express
Paperback (1) 92059 lei  6-8 săpt.
  Springer Berlin, Heidelberg – dec 2010 92059 lei  6-8 săpt.
Hardback (1) 92461 lei  6-8 săpt.
  Springer Berlin, Heidelberg – 12 mai 2003 92461 lei  6-8 săpt.

Din seria Encyclopaedia of Mathematical Sciences

Preț: 92059 lei

Preț vechi: 112267 lei
-18% Nou

Puncte Express: 1381

Preț estimativ în valută:
17618 18301$ 14634£

Carte tipărită la comandă

Livrare economică 04-18 februarie 25

Preluare comenzi: 021 569.72.76

Specificații

ISBN-13: 9783642075841
ISBN-10: 3642075843
Pagini: 196
Ilustrații: VIII, 184 p.
Dimensiuni: 155 x 235 x 10 mm
Greutate: 0.28 kg
Ediția:Softcover reprint of hardcover 1st ed. 2003
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Encyclopaedia of Mathematical Sciences

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

1. Hydrodynamics, Geometric Optics, and Classical Mechanics.- 2. General Vortex Theory.- 3. Geodesics on Lie Groups with a Left-Invariant Metric.- 4. Vortex Method for Integrating Hamilton Equations.- Supplement 1: Vorticity Invariants and Secondary Hydrodynamics.- Supplement 2: Quantum Mechanics and Hydrodynamics.- Supplement 3: Vortex Theory of Adiabatic Equilibrium Processes.- References.

Recenzii

From the reviews:
"This is a very interesting, nicely written book on deep mathematical analogies between hydrodynamics, geometric optics and mechanics. […] The book will surely be of interest to researchers and postgraduate students in mathematical physics and mechanics."
EMS Newsletter December 2005
"... Kozlov's very valuable contribution to the Encyclopaedia of Mathematical Sciences explores the world from the point of view of the vortex, its role in a variety of theories with an acknowledgement of the history of the argument originating in the rivalry of the Cartesian and Newtonian views of the world. ..."
C.Athorne, University of Glasgow, Contemporary Physics 2004, Vol. 45, Issue 5
"Kozlov’s very valuable contribution to the Encyclopedia of Mathematical Sciences explores the world from the point of view of the vortex, its role in a variety of theories with an acknowledgement of the history of the argument originating in the rivalry of the Cartesian and Newtonian views of the world. Thus, the impulse behind the book is to make precise and formalize analogies between the motions of ideal fluids and the classical mechanics of conservative systems."
Dr. C. Athorne, Contemporary Physics, Vol. 45 (5), 2004
"The book is a translation from the 1998 original work appeared in Russian. … the author highlights some analogies between hydrodynamics, classical mechanics, geometrical optics, and symplectic geometry. … The book will be of great interest to researchers working on this or related subjects."
G.Schneider, ZAMM - Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 84 (10-11), 2004
"This book is devoted to a mathematical description of analogies between hydrodynamics, geometrical optics and classical mechanics. The basic idea is that the study of families of trajectories of Hamiltonian systems can be reduced to the investigation of multidimensionalideal fluid dynamics. The book contains four chapters and three appendices. … can be recommended to researchers and graduate students interested in mathematical physics, mechanics and differential equations." (Tibor Krisztin, Acta Scientiarum Mathematicarum, Vol. 74, 2008)

Caracteristici

Well-known first-rate author Treats a major topic in mathematical physics Includes supplementary material: sn.pub/extras