Introduction To The Algebraic Theory Of Invariants Of Differential Equations

Author : Konstantin Sergeevich Sibirskiĭ
Publisher : Manchester University Press
ISBN 13 : 9780719026690
Total Pages : 210 pages
Book Rating : 4.95/5 ( download)

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Download or read book Introduction to the Algebraic Theory of Invariants of Differential Equations written by Konstantin Sergeevich Sibirskiĭ and published by Manchester University Press. This book was released on 1988 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: Considers polynominal invariants & comitants of autonomous systems of differential equations with right-hand sides relative to various transformation groups of phase space. Contains an in-depth discussion of the two-dimensional system with quadratic right-hand sides. Features numerous applications to the qualitative theory of differential equations.

Author : Peter J. Olver
Publisher : Cambridge University Press
ISBN 13 : 9780521558211
Total Pages : 308 pages
Book Rating : 4.12/5 ( download)

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Download or read book Classical Invariant Theory written by Peter J. Olver and published by Cambridge University Press. This book was released on 1999-01-13 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is a self-contained introduction to the results and methods in classical invariant theory.

Author : L V Ovsyannikov
Publisher : World Scientific Publishing Company
ISBN 13 : 9814460834
Total Pages : 156 pages
Book Rating : 4.35/5 ( download)

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Download or read book Lectures on the Theory of Group Properties of Differential Equations written by L V Ovsyannikov and published by World Scientific Publishing Company. This book was released on 2013-05-20 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: These lecturers provide a clear introduction to Lie group methods for determining and using symmetries of differential equations, a variety of their applications in gas dynamics and other nonlinear models as well as the author's remarkable contribution to this classical subject. It contains material that is useful for students and teachers but cannot be found in modern texts. For example, the theory of partially invariant solutions developed by Ovsyannikov provides a powerful tool for solving systems of nonlinear differential equations and investigating complicated mathematical models.

Author : Sebastian S. Koh
Publisher : Springer
ISBN 13 : 3540479082
Total Pages : 111 pages
Book Rating : 4.86/5 ( download)

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Download or read book Invariant Theory written by Sebastian S. Koh and published by Springer. This book was released on 2006-11-15 with total page 111 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume of expository papers is the outgrowth of a conference in combinatorics and invariant theory. In recent years, newly developed techniques from algebraic geometry and combinatorics have been applied with great success to some of the outstanding problems of invariant theory, moving it back to the forefront of mathematical research once again. This collection of papers centers on constructive aspects of invariant theory and opens with an introduction to the subject by F. Grosshans. Its purpose is to make the current research more accesssible to mathematicians in related fields.

Author : Joseph Edmund Wright
Publisher :
ISBN 13 :
Total Pages : 108 pages
Book Rating : 4.25/5 ( download)

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Download or read book Invariants of Quadratic Differential Forms written by Joseph Edmund Wright and published by . This book was released on 1908 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Frank W. K. Firk
Publisher : CreateSpace
ISBN 13 : 9781499273366
Total Pages : 160 pages
Book Rating : 4.63/5 ( download)

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Download or read book Introduction to Groups, Invariants and Particles written by Frank W. K. Firk and published by CreateSpace. This book was released on 2014-05-07 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: Group Theory, with its emphasis on Lie Groups and their application to the study of symmetries of the fundamental constituents of matter is introduced at a level suitable for Seniors and advanced Juniors majoring in the Physical Sciences. The book has its origin in a one-semester course that Professor Firk taught at Yale University for more than ten years. It is not generally appreciated by Physicists that continuous transformation groups (Lie Groups) originated in the Theory of Differential Equations. The infinitesimal generators of Lie Groups therefore have forms that involve differential operators and their commutators, and these operators and their algebraic properties have found, and continue to find, a natural place in the development of Quantum Physics. Topics covered include:Galois Groups Algebraic Invariants Invariants of Physics Groups − Concrete and Abstract Lie's Differential Equation Lie's Continuous Transformation Groups Matrix Representations of Groups Lie Groups of Transformations Group Structure of Lorentz Transformations Groups and the Structure of Matter Lie Groups and the Conservation Laws of the Physical Universe

Author : Abraham Cohen
Publisher :
ISBN 13 :
Total Pages : 264 pages
Book Rating : 4.11/5 ( download)

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Download or read book An Introduction to the Lie Theory of One-parameter Groups written by Abraham Cohen and published by . This book was released on 1931 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : David Hilbert
Publisher : Springer Science & Business Media
ISBN 13 : 3662035456
Total Pages : 360 pages
Book Rating : 4.50/5 ( download)

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Download or read book The Theory of Algebraic Number Fields written by David Hilbert and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: A translation of Hilberts "Theorie der algebraischen Zahlkörper" best known as the "Zahlbericht", first published in 1897, in which he provides an elegantly integrated overview of the development of algebraic number theory up to the end of the nineteenth century. The Zahlbericht also provided a firm foundation for further research in the theory, and can be seen as the starting point for all twentieth century investigations into the subject, as well as reciprocity laws and class field theory. This English edition further contains an introduction by F. Lemmermeyer and N. Schappacher.

Author : Alexandru Buium
Publisher : American Mathematical Soc.
ISBN 13 : 0821838628
Total Pages : 346 pages
Book Rating : 4.24/5 ( download)

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Download or read book Arithmetic Differential Equations written by Alexandru Buium and published by American Mathematical Soc.. This book was released on 2005 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: For most of the book the only prerequisites are the basic facts of algebraic geometry and number theory."--BOOK JACKET.

Author : Malcolm A. H. MacCallum
Publisher :
ISBN 13 : 9781107367968
Total Pages : 248 pages
Book Rating : 4.64/5 ( download)

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Download or read book Algebraic Theory of Differential Equations written by Malcolm A. H. MacCallum and published by . This book was released on 2009 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unique introduction to the subject, reflecting different approaches to the integration of differential equations.