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Dmitri Fursaev, Dmitri Vassilevich - Operators, Geometry and Quanta: Methods of Spectral Geometry in Quantum Field Theory

Published: 2011-06-26 | ISBN: 9400702043 | PDF | 288 pages | 3 MB

Published: 2011-02-25 | ISBN: 3642172857 | PDF | 573 pages | 16 MB

English | ISBN: 9462098581 | 2014 | 348 pages | PDF | 27 MB

Vladimir Rovenski and Pawel Walczak, "Geometry and its Applications"

English | ISBN: 3319046748 | 2014 | 256 pages | PDF | 2 MB

This volume has been divided into two parts: Geometry and Applications. The geometry portion of the book relates primarily to geometric flows, laminations, integral formulae, geometry of vector fields on Lie groups and osculation; the articles in the applications portion concern some particular problems of the theory of dynamical systems, including mathematical problems of liquid flows and a study of cycles for non-dynamical systems.

English | 2011 | ISBN: 1107031702 | ISBN-13: 9780521461931 | 206 pages | PDF | 1 MB

Simplex geometry is a topic generalizing geometry of the triangle and tetrahedron. The appropriate tool for its study is matrix theory, but applications usually involve solving huge systems of linear equations or eigenvalue problems, and geometry can help in visualizing the behaviour of the problem.

Algebra, geometry and topology cover a variety of different, but intimately related research fields in modern mathematics. This book focuses on specific aspects of this interaction. The present volume contains refereed papers which were presented at the International Conference “Experimental and Theoretical Methods in Algebra, Geometry and Topology”, held in Eforie Nord (near Constanta), Romania, during 20-25 June 2013. The conference was devoted to the 60th anniversary of the distinguished Romanian mathematicians Alexandru Dimca and Ştefan Papadima. The selected papers consist of original research work and a survey paper. They are intended for a large audience, including researchers and graduate students interested in algebraic geometry, combinatorics, topology, hyperplane arrangements and commutative algebra. The papers are written by well-known experts from different fields of mathematics, affiliated to universities from all over the word, they cover a broad range of topics and explore the research frontiers of a wide variety of contemporary problems of modern mathematics.

English | 2004 | ISBN: 0306486571 | 425 pages | PDF | 7.5 Mb

Different Faces of Geometry - edited by the world renowned geometers S. Donaldson, Ya. Eliashberg, and M. Gromov - presents the current state, new results, original ideas and open questions from important topics in modern geometry.

English | 2012 | ISBN: 1107610494 | ISBN-13: 9781107610491 284| pages | PDF | 1,8 MB

Hyperbolic geometry is a classical subject in pure mathematics which has exciting applications in theoretical physics. In this book leading experts introduce hyperbolic geometry and Maass waveforms and discuss applications in quantum chaos and cosmology.

Michael OLeary, "Revolutions of Geometry"

English | 2010-02-08 | ISBN: 0470167556 | 608 pages | PDF | 7.0 mb

In an effort to fully appreciate the logic and structure of geometric proofs, Revolutions of Geometry places proofs into the context of geometrys history, helping readers to understand that proof writing is crucial to the job of a mathematician. Written for students and educators of mathematics alike, the book guides readers through the rich history and influential works, from ancient times to the present, behind the development of geometry. As a result, readers are successfully equipped with the necessary logic to develop a full understanding of geometric theorems.

ISBN: 9812567933 | 128 pages | PDF | 4 MB

This introductory book uses the moving frame as a tool and develops Finsler geometry on the basis of the Chern connection and the projective sphere bundle. It systematically introduces three classes of geometrical invariants on Finsler manifolds and their intrinsic relations, analyzes local and global results from classic and modern Finsler geometry, and gives non-trivial examples of Finsler manifolds satisfying different curvature conditions.

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