Advances in Algebraic Geometry Motivated by Physics

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Release : 2001
Genre : Mathematics
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Book Rating : 10X/5 ( reviews)

Advances in Algebraic Geometry Motivated by Physics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Advances in Algebraic Geometry Motivated by Physics write by Emma Previato. This book was released on 2001. Advances in Algebraic Geometry Motivated by Physics available in PDF, EPUB and Kindle. Our knowledge of objects of algebraic geometry such as moduli of curves, (real) Schubert classes, fundamental groups of complements of hyperplane arrangements, toric varieties, and variation of Hodge structures, has been enhanced recently by ideas and constructions of quantum field theory, such as mirror symmetry, Gromov-Witten invariants, quantum cohomology, and gravitational descendants. These are some of the themes of this refereed collection of papers, which grew out of the special session, ``Enumerative Geometry in Physics,'' held at the AMS meeting in Lowell, MA, April 2000. This session brought together mathematicians and physicists who reported on the latest results and open questions; all the abstracts are included as an Appendix, and also included are papers by some who could not attend. The collection provides an overview of state-of-the-art tools, links that connect classical and modern problems, and the latest knowledge available.

Curvature in Mathematics and Physics

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Release : 2013-04-17
Genre : Mathematics
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Book Rating : 711/5 ( reviews)

Curvature in Mathematics and Physics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Curvature in Mathematics and Physics write by Shlomo Sternberg. This book was released on 2013-04-17. Curvature in Mathematics and Physics available in PDF, EPUB and Kindle. Expert treatment introduces semi-Riemannian geometry and its principal physical application, Einstein's theory of general relativity, using the Cartan exterior calculus as a principal tool. Prerequisites include linear algebra and advanced calculus. 2012 edition.

Algebraic Statistics for Computational Biology

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Release : 2005-08-22
Genre : Mathematics
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Book Rating : 000/5 ( reviews)

Algebraic Statistics for Computational Biology - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebraic Statistics for Computational Biology write by L. Pachter. This book was released on 2005-08-22. Algebraic Statistics for Computational Biology available in PDF, EPUB and Kindle. This book, first published in 2005, offers an introduction to the application of algebraic statistics to computational biology.

The Geometry of Physics

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Release : 2011-11-03
Genre : Mathematics
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Book Rating : 610/5 ( reviews)

The Geometry of Physics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Geometry of Physics write by Theodore Frankel. This book was released on 2011-11-03. The Geometry of Physics available in PDF, EPUB and Kindle. This book provides a working knowledge of those parts of exterior differential forms, differential geometry, algebraic and differential topology, Lie groups, vector bundles and Chern forms that are essential for a deeper understanding of both classical and modern physics and engineering. Included are discussions of analytical and fluid dynamics, electromagnetism (in flat and curved space), thermodynamics, the Dirac operator and spinors, and gauge fields, including Yang–Mills, the Aharonov–Bohm effect, Berry phase and instanton winding numbers, quarks and quark model for mesons. Before discussing abstract notions of differential geometry, geometric intuition is developed through a rather extensive introduction to the study of surfaces in ordinary space. The book is ideal for graduate and advanced undergraduate students of physics, engineering or mathematics as a course text or for self study. This third edition includes an overview of Cartan's exterior differential forms, which previews many of the geometric concepts developed in the text.

The Geometrical Study of Differential Equations

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Release : 2001
Genre : Mathematics
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Book Rating : 645/5 ( reviews)

The Geometrical Study of Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Geometrical Study of Differential Equations write by Joshua Allensworth Leslie. This book was released on 2001. The Geometrical Study of Differential Equations available in PDF, EPUB and Kindle. This volume contains papers based on some of the talks given at the NSF-CBMS conference on ``The Geometrical Study of Differential Equations'' held at Howard University (Washington, DC). The collected papers present important recent developments in this area, including the treatment of nontransversal group actions in the theory of group invariant solutions of PDEs, a method for obtaining discrete symmetries of differential equations, the establishment of a group-invariant version of the variational complex based on a general moving frame construction, the introduction of a new variational complex for the calculus of difference equations and an original structural investigation of Lie-Backlund transformations. The book opens with a modern and illuminating overview of Lie's line-sphere correspondence and concludes with several interesting open problems arising from symmetry analysis of PDEs. It offers a rich source of inspiration for new or established researchers in the field. This book can serve nicely as a companion volume to a forthcoming book written by the principle speaker at the conference, Professor Niky Kamran, to be published in the AMS series, CBMS Regional Conference Series in Mathematics.