Introduction to Geometry and Topology, Stern

Автор: Chmutov
Название: Introduction to Vassiliev Knot Invariants
ISBN: 1107020832 ISBN-13(EAN): 9781107020832
Издательство: Cambridge Academ
Рейтинг:
Цена: 53960.00 T
Наличие на складе: Есть
Описание: This detailed exposition of a relatively recent development in knot theory, namely, the theory of Vassiliev knot invariants, is intended to serve both as a textbook for readers with little background in this area, and as a guide to some of the more advanced material.

Автор: Eilers
Название: Introduction to Experimental Mathematics
ISBN: 1107156130 ISBN-13(EAN): 9781107156135
Издательство: Cambridge Academ
Рейтинг:
Цена: 48570.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
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: Andrei Agrachev, Davide Barilari, Ugo Boscain
Название: A Comprehensive Introduction to Sub-Riemannian Geometry
ISBN: 110847635X ISBN-13(EAN): 9781108476355
Издательство: Cambridge Academ
Рейтинг:
Цена: 185850.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This comprehensive introduction to sub-Riemannian geometry proceeds from classical topics to cutting-edge theory and applications. The only prerequisites are calculus, linear algebra and differential equations. It can be used for graduate courses in Riemannian or sub-Riemannian geometry, or as a reference for researchers in several disciplines.

Автор: Claus Montonen, Esko Keski-Vakkuri, Marco Panero
Название: Mathematical Methods for Physics: An Introduction to Group Theory, Topology and Geometry
ISBN: 1107191130 ISBN-13(EAN): 9781107191136
Издательство: Cambridge Academ
Рейтинг:
Цена: 49630.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This detailed yet accessible text introduces the advanced mathematical methods at the core of theoretical physics. Based on a course for senior undergraduate students of physics, it is written in a clear, pedagogical style and would also be valuable to students in other areas of science and engineering.

Автор: Semyon Alesker
Название: Introduction to the Theory of Valuations
ISBN: 1470443597 ISBN-13(EAN): 9781470443597
Издательство: Mare Nostrum (Eurospan)
Рейтинг:
Цена: 45980.00 T
Наличие на складе: Невозможна поставка.
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
Рейтинг:
Цена: 93990.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
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: Iva Stavrov
Название: Curvature of Space and Time, with an Introduction to Geometric Analysis
ISBN: 1470456281 ISBN-13(EAN): 9781470456283
Издательство: Mare Nostrum (Eurospan)
Рейтинг:
Цена: 49330.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
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.

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
Наличие на складе: Есть у поставщика Поставка под заказ.
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: Tom Richmond
Название: General Topology: An Introduction
ISBN: 3110686562 ISBN-13(EAN): 9783110686562
Издательство: Walter de Gruyter
Рейтинг:
Цена: 96630.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
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: Dmitry N. Kozlov
Название: Organized Collapse: An Introduction to Discrete Morse Theory
ISBN: 1470457016 ISBN-13(EAN): 9781470457013
Издательство: Mare Nostrum (Eurospan)
Рейтинг:
Цена: 85010.00 T
Наличие на складе: Поставка под заказ.
Описание: Applied topology is a modern subject which emerged in recent years at a crossroads of many methods, all of them topological in nature, which were used in a wide variety of applications in classical mathematics and beyond. Within applied topology, discrete Morse theory came into light as one of the main tools to understand cell complexes arising in different contexts, as well as to reduce the complexity of homology calculations.

The present book provides a gentle introduction into this beautiful theory. Using a combinatorial approach, the author emphasizes acyclic matchings as the central object of study. The first two parts of the book can be used as a stand-alone introduction to homology, the last two parts delve into the core of discrete Morse theory. The presentation is broad, ranging from abstract topics, such as formulation of the entire theory using poset maps with small fibers, to heavily computational aspects, providing, for example, a specific algorithm of finding an explicit homology basis starting from an acyclic matching.

The book will be appreciated by graduate students in applied topology, students and specialists in computer science and engineering, as well as research mathematicians interested in learning about the subject and applying it in context of their fields.

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)
Рейтинг:
Цена: 59130.00 T
Наличие на складе: Поставка под заказ.
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: Dmitry N. Kozlov
Название: Organized Collapse: An Introduction to Discrete Morse Theory
ISBN: 1470464551 ISBN-13(EAN): 9781470464554
Издательство: Mare Nostrum (Eurospan)
Рейтинг:
Цена: 74410.00 T
Наличие на складе: Невозможна поставка.
Описание: Applied topology is a modern subject which emerged in recent years at a crossroads of many methods, all of them topological in nature, which were used in a wide variety of applications in classical mathematics and beyond. Within applied topology, discrete Morse theory came into light as one of the main tools to understand cell complexes arising in different contexts, as well as to reduce the complexity of homology calculations.The present book provides a gentle introduction into this beautiful theory. Using a combinatorial approach—the author emphasizes acyclic matchings as the central object of study. The first two parts of the book can be used as a stand-alone introduction to homology, the last two parts delve into the core of discrete Morse theory. The presentation is broad, ranging from abstract topics, such as formulation of the entire theory using poset maps with small fibers, to heavily computational aspects, providing, for example, a specific algorithm of finding an explicit homology basis starting from an acyclic matching.The book will be appreciated by graduate students in applied topology, students and specialists in computer science and engineering, as well as research mathematicians interested in learning about the subject and applying it in context of their fields.