Mathematical Methods for Physics: An Introduction to Group Theory, Topology and Geometry, Claus Montonen, Esko Keski-Vakkuri, Marco Panero

Автор: Riley
Название: Mathematical Methods for Physics and Engineering
ISBN: 0521679710 ISBN-13(EAN): 9780521679718
Издательство: Cambridge Academ
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Цена: 52800.00 T
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Описание: This highly acclaimed undergraduate textbook teaches all the mathematics for undergraduate courses in the physical sciences. Containing over 800 exercises, half come with hints and answers and, in a separate manual, complete worked solutions. The remaining exercises are intended for unaided homework; full solutions are available to instructors.

Автор: Lasserre
Название: An Introduction to Polynomial and Semi-Algebraic Optimization
ISBN: 110763069X ISBN-13(EAN): 9781107630697
Издательство: Cambridge Academ
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Цена: 48570.00 T
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Описание: This is the first comprehensive introduction to the powerful moment approach for solving global optimization problems. Graduate students, engineers and researchers entering the field can use this book to understand, experiment with and master this new approach through the simple worked examples provided.

Автор: Bengtsson Ingemar
Название: Geometry of Quantum States
ISBN: 1107026253 ISBN-13(EAN): 9781107026254
Издательство: Cambridge Academ
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Цена: 91860.00 T
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Описание: The second edition of a book that has become a standard reference for researchers working on geometric aspects of quantum entanglement and quantum theory of information. Its comprehensive style makes it suitable for students of physics, information science, and mathematics wishing to learn more about quantum mechanics and quantum entanglement.

Автор: Eilers
Название: Introduction to Experimental Mathematics
ISBN: 1107156130 ISBN-13(EAN): 9781107156135
Издательство: Cambridge Academ
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Цена: 48570.00 T
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Описание: A recent surge in computer-based experimental approaches to pure mathematics is revolutionizing the way research mathematicians work. As the first of its kind, this textbook provides students with an introduction to the ends and means of experimental mathematics using the popular computer algebra system Maple.

Автор: Semyon Alesker
Название: Introduction to the Theory of Valuations
ISBN: 1470443597 ISBN-13(EAN): 9781470443597
Издательство: Mare Nostrum (Eurospan)
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Цена: 45980.00 T
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Описание: Theory of valuations on convex sets is a classical part of convex geometry which goes back at least to the positive solution of the third Hilbert problem by M. Dehn in 1900. Since then the theory has undergone a multifaceted development. The author discusses some of Hadwiger's results on valuations on convex compact sets that are continuous in the Hausdorff metric. The book also discusses the Klain-Schneider theorem as well as the proof of McMullen's conjecture, which led subsequently to many further applications and advances in the theory. The last section gives an overview of more recent developments in the theory of translation-invariant continuous valuations, some of which turn out to be useful in integral geometry.This book grew out of lectures that were given in August 2015 at Kent State University in the framework of the NSF CBMS conference ``Introduction to the Theory of Valuations on Convex Sets''. Only a basic background in general convexity is assumed.

Автор: D. J. H. Garling
Название: Analysis on Polish Spaces and an Introduction to Optimal Transportation
ISBN: 1108421571 ISBN-13(EAN): 9781108421577
Издательство: Cambridge Academ
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Цена: 93990.00 T
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Описание: This detailed account of analysis on Polish spaces contains results that apply to probability theory and a gentle introduction to optimal transportation. Containing more than 200 elementary exercises, it is a useful resource for advanced mathematical students and also for researchers in mathematical analysis.

Автор: Tom Richmond
Название: General Topology: An Introduction
ISBN: 3110686562 ISBN-13(EAN): 9783110686562
Издательство: Walter de Gruyter
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Цена: 96630.00 T
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Описание:

The first half of the book provides an introduction to general topology, with ample space given to exercises and carefully selected applications. The second half of the text includes topics in asymmetric topology, a field motivated by applications in computer science. Recurring themes include the interactions of topology with order theory and mathematics designed to model loss-of-resolution situations.

Автор: Alejandro A. Uribe, Daniel A. Visscher
Название: Explorations in Analysis, Topology, and Dynamics: An Introduction to Abstract Mathematics
ISBN: 1470452707 ISBN-13(EAN): 9781470452704
Издательство: Mare Nostrum (Eurospan)
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Цена: 71060.00 T
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Описание: This book is an introduction to the theory of calculus in the style of inquiry-based learning. The text guides students through the process of making mathematical ideas rigorous, from investigations and problems to definitions and proofs. The format allows for various levels of rigour as negotiated between instructor and students, and the text can be of use in a theoretically oriented calculus course or an analysis course that develops rigor gradually.Material on topology (e.g. of higher dimensional Euclidean spaces) and discrete dynamical systems can be used as excursions within a study of analysis or as a more central component of a course. The themes of bisection, iteration, and nested intervals form a common thread throughout the text. The book is intended for students who have studied some calculus and want to gain a deeper understanding of the subject through an inquiry-based approach.

Автор: Colin Adams
Название: The Tiling Book: An Introduction to the Mathematical Theory of Tilings
ISBN: 1470468972 ISBN-13(EAN): 9781470468972
Издательство: Mare Nostrum (Eurospan)
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Цена: 59130.00 T
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Описание: Covers the necessary background on tilings and then delves into a variety of fascinating topics in the field, including symmetry groups, random tilings, aperiodic tilings, and quasicrystals. Although primarily focused on tilings of the Euclidean plane, the book also covers tilings of the sphere, hyperbolic plane, and Euclidean 3-space.

Автор: Dunajski, Maciej (professor Of Mathematical Physics , University Of Cambridge)
Название: Geometry: a very short introduction
ISBN: 0199683689 ISBN-13(EAN): 9780199683680
Издательство: Oxford Academ
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Цена: 9490.00 T
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Описание: This book provides a fresh modern introduction to geometry, an ancient branch of mathematics with important applications. It takes readers from Euclidean and non-Euclidean geometries, to curved spaces, and the geometry of space-time inside a black hole, and outlines the role geometry plays in the broader context of science and art.

Автор: Alexander S. Holevo
Название: Quantum Systems, Channels, Information: A Mathematical Introduction
ISBN: 3110642247 ISBN-13(EAN): 9783110642247
Издательство: Walter de Gruyter
Цена: 185890.00 T
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Описание: The series Texts and Monographs in Theoretical Physics collects advanced texts on selected topics from the broad and varied field of Theoretical Physics. The works in the series will enable the readers to get a deep understanding of current topics in Theoretical Physics, with a special emphasis on recent developments. They are aimed at advanced students and researchers in theoretical and mathematical physics, and can also serve as secondary reading for lectures and seminars at post-graduate levels.

Автор: Iva Stavrov
Название: Curvature of Space and Time, with an Introduction to Geometric Analysis
ISBN: 1470456281 ISBN-13(EAN): 9781470456283
Издательство: Mare Nostrum (Eurospan)
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Цена: 49330.00 T
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Описание: This book introduces advanced undergraduates to Riemannian geometry and mathematical general relativity. The overall strategy of the book is to explain the concept of curvature via the Jacobi equation which, through discussion of tidal forces, further helps motivate the Einstein field equations. After addressing concepts in geometry such as metrics, covariant differentiation, tensor calculus and curvature, the book explains the mathematical framework for both special and general relativity. Relativistic concepts discussed include (initial value formulation of) the Einstein equations, stress-energy tensor, Schwarzschild space-time, ADM mass and geodesic incompleteness. The concluding chapters of the book introduce the reader to geometric analysis: original results of the author and her undergraduate student collaborators illustrate how methods of analysis and differential equations are used in addressing questions from geometry and relativity. The book is mostly self-contained and the reader is only expected to have a solid foundation in multivariable and vector calculus and linear algebra. The material in this book was first developed for the 2013 summer program in geometric analysis at the Park City Math Institute, and was recently modified and expanded to reflect the author's experience of teaching mathematical general relativity to advanced undergraduates at Lewis & Clark College. This book is published in cooperation with IAS/Park City Mathematics Institute.