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Jacobi's Lectures on Dynamics

2009-08-15 Mathematics
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Release : 2009-08-15
Genre : Mathematics
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Book Rating : 622/5 ( reviews)

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Book Synopsis Jacobi's Lectures on Dynamics by : A. Clebsch

Download or read book Jacobi's Lectures on Dynamics written by A. Clebsch. This book was released on 2009-08-15. Available in PDF, EPUB and Kindle. Book excerpt: The name of C. G. J. Jacobi is familiar to every student of mathematics, thanks to the Jacobion determinant, the Hamilton-Jacobi equations in dynamics, and the Jacobi identity for vector fields. Best known for his contributions to the theory of elliptic and abelian functions, Jacobi is also known for his innovative teaching methods and for running the first research seminar in pure mathematics. A record of his lectures on Dynamics given in 1842-43 at Konigsberg, edited by A. Clebsch, has been available in the original German. This is an English translation. It is not just a historical document; the modern reader can learn much about the subject directly from one of its great masters.

Jacobi's Lectures on Dynamics

2009
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Release : 2009
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Book Synopsis Jacobi's Lectures on Dynamics by : Carl Gustav Jakob Jacobi

Download or read book Jacobi's Lectures on Dynamics written by Carl Gustav Jakob Jacobi. This book was released on 2009. Available in PDF, EPUB and Kindle. Book excerpt:

Jacobi Dynamics

2012-12-06 Science
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Release : 2012-12-06
Genre : Science
Kind : eBook
Book Rating : 00X/5 ( reviews)

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Book Synopsis Jacobi Dynamics by : V.I. Ferronsky

Download or read book Jacobi Dynamics written by V.I. Ferronsky. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: This book sets forth and builds upon the fundamentals of the dynamics of natural systems in formulating the problem presented by Jacobi in his famous lecture series "Vorlesungen tiber Dynamik" (Jacobi, 1884). In the dynamics of systems described by models of discrete and continuous media, the many-body problem is usually solved in some approximation, or the behaviour of the medium is studied at each point of the space it occupies. Such an approach requires the system of equations of motion to be written in terms of space co-ordinates and velocities, in which case the requirements of an internal observer for a detailed description of the processes are satisfied. In the dynamics discussed here we study the time behaviour of the fundamental integral characteristics of the physical system, i. e. the Jacobi function (moment of inertia) and energy (potential, kinetic and total), which are functions of mass density distribution, and the structure of a system. This approach satisfies the requirements of an external observer. It is designed to solve the problem of global dynamics and the evolution of natural systems in which the motion of the system's individual elements written in space co-ordinates and velocities is of no interest. It is important to note that an integral approach is made to internal and external interactions of a system which results in radiation and absorption of energy. This effect constitutes the basic physical content of global dynamics and the evolution of natural systems.

A Concise History of Mathematics

2012-06-28 Mathematics
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Release : 2012-06-28
Genre : Mathematics
Kind : eBook
Book Rating : 887/5 ( reviews)

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Book Synopsis A Concise History of Mathematics by : Dirk J. Struik

Download or read book A Concise History of Mathematics written by Dirk J. Struik. This book was released on 2012-06-28. Available in PDF, EPUB and Kindle. Book excerpt: This compact, well-written history — first published in 1948, and now in its fourth revised edition — describes the main trends in the development of all fields of mathematics from the first available records to the middle of the 20th century. Students, researchers, historians, specialists — in short, everyone with an interest in mathematics — will find it engrossing and stimulating. Beginning with the ancient Near East, the author traces the ideas and techniques developed in Egypt, Babylonia, China, and Arabia, looking into such manuscripts as the Egyptian Papyrus Rhind, the Ten Classics of China, and the Siddhantas of India. He considers Greek and Roman developments from their beginnings in Ionian rationalism to the fall of Constantinople; covers medieval European ideas and Renaissance trends; analyzes 17th- and 18th-century contributions; and offers an illuminating exposition of 19th century concepts. Every important figure in mathematical history is dealt with — Euclid, Archimedes, Diophantus, Omar Khayyam, Boethius, Fermat, Pascal, Newton, Leibniz, Fourier, Gauss, Riemann, Cantor, and many others. For this latest edition, Dr. Struik has both revised and updated the existing text, and also added a new chapter on the mathematics of the first half of the 20th century. Concise coverage is given to set theory, the influence of relativity and quantum theory, tensor calculus, the Lebesgue integral, the calculus of variations, and other important ideas and concepts. The book concludes with the beginnings of the computer era and the seminal work of von Neumann, Turing, Wiener, and others. "The author's ability as a first-class historian as well as an able mathematician has enabled him to produce a work which is unquestionably one of the best." — Nature Magazine.

The Dynamics of Particles and of Rigid, Elastic, and Fluid Bodies

1904 Dynamics
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Release : 1904
Genre : Dynamics
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Book Synopsis The Dynamics of Particles and of Rigid, Elastic, and Fluid Bodies by : Arthur Gordon Webster

Download or read book The Dynamics of Particles and of Rigid, Elastic, and Fluid Bodies written by Arthur Gordon Webster. This book was released on 1904. Available in PDF, EPUB and Kindle. Book excerpt:

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