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Geometric Multivector Analysis, Andreas Ros?n


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Цена: 8384.00р.
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Автор: Andreas Ros?n
Название:  Geometric Multivector Analysis
ISBN: 9783030314101
Издательство: Springer
Классификация:




ISBN-10: 3030314103
Обложка/Формат: Hardcover
Страницы: 465
Вес: 0.88 кг.
Дата издания: 2019
Серия: Birkh?user Advanced Texts Basler Lehrb?cher
Язык: English
Издание: 1st ed. 2019
Иллюстрации: 8 illustrations, color; 21 illustrations, black and white; xiii, 465 p. 29 illus., 8 illus. in color.
Размер: 234 x 156 x 27
Читательская аудитория: Professional & vocational
Основная тема: Mathematics
Подзаголовок: From Grassmann to Dirac
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This book presents a step-by-step guide to the basic theory of multivectors and spinors, with a focus on conveying to the reader the geometric understanding of these abstract objects. Following in the footsteps of M. Riesz and L. Ahlfors, the book also explains how Clifford algebra offers the ideal tool for studying spacetime isometries and M?bius maps in arbitrary dimensions.The book carefully develops the basic calculus of multivector fields and differential forms, and highlights novelties in the treatment of, e.g., pullbacks and Stokes’s theorem as compared to standard literature. It touches on recent research areas in analysis and explains how the function spaces of multivector fields are split into complementary subspaces by the natural first-order differential operators, e.g., Hodge splittings and Hardy splittings. Much of the analysis is done on bounded domains in Euclidean space, with a focus on analysis at the boundary. The book also includes a derivation of new Dirac integral equations for solving Maxwell scattering problems, which hold promise for future numerical applications. The last section presents down-to-earth proofs of index theorems for Dirac operators on compact manifolds, one of the most celebrated achievements of 20th-century mathematics.The book is primarily intended for graduate and PhD students of mathematics. It is also recommended for more advanced undergraduate students, as well as researchers in mathematics interested in an introduction to geometric analysis.
Дополнительное описание: Prelude: Linear algebra.- Exterior algebra.- Clifford algebra.- Mappings of inner product spaces.- Spinors in inner product spaces.- Interlude: Analysis.- Exterior calculus.- Hodge decompositions.- Hypercomplex analysis.- Dirac equations.- Multivector cal



Geometric Multivector Analysis

Автор: Andreas Ros?n
Название: Geometric Multivector Analysis
ISBN: 3030314138 ISBN-13(EAN): 9783030314132
Издательство: Springer
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Цена: 8384.00 р.
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Описание: Prelude: Linear algebra.- Exterior algebra.- Clifford algebra.- Mappings of inner product spaces.- Spinors in inner product spaces.- Interlude: Analysis.- Exterior calculus.- Hodge decompositions.- Hypercomplex analysis.- Dirac equations.- Multivector calculus on manifolds.- Two index theorems.

Riemannian Geometry and Geometric Analysis

Автор: J?rgen Jost
Название: Riemannian Geometry and Geometric Analysis
ISBN: 3319618598 ISBN-13(EAN): 9783319618593
Издательство: Springer
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Цена: 11878.00 р.
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Описание: This established reference work continues to introduce its readers to some of the hottest topics in contemporary mathematical research. This sixth edition includes, among other new additions, a systematic treatment of eigenvalues of Riemannian manifolds.

A Local Relative Trace Formula for the Ginzburg-Rallis Model: The Geometric Side

Автор: Chen Wan
Название: A Local Relative Trace Formula for the Ginzburg-Rallis Model: The Geometric Side
ISBN: 1470436868 ISBN-13(EAN): 9781470436865
Издательство: Mare Nostrum (Eurospan)
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Цена: 12474.00 р.
Наличие на складе: Нет в наличии.

Описание: Following the method developed by Waldspurger and Beuzart-Plessis in their proofs of the local Gan-Gross-Prasad conjecture, the author is able to prove the geometric side of a local relative trace formula for the Ginzburg-Rallis model.

Number Theory, Fourier Analysis and Geometric Discrepancy

Автор: Travaglini
Название: Number Theory, Fourier Analysis and Geometric Discrepancy
ISBN: 1107044030 ISBN-13(EAN): 9781107044036
Издательство: Cambridge Academ
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Цена: 20275.00 р.
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Описание: Geometric discrepancy theory is a rapidly growing modern field. This book provides a complete introduction to the topic with exposition based on classical number theory and Fourier analysis, but assuming no prior knowledge of either. Ideal as a guide to the subject for advanced undergraduate or beginning graduate students.

Asymptotic Geometric Analysis

Автор: Ludwig Monika
Название: Asymptotic Geometric Analysis
ISBN: 1461464056 ISBN-13(EAN): 9781461464051
Издательство: Springer
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Цена: 18167.00 р.
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Описание: This book examines methods for analyzing the geometric and linear properties of finite dimensional objects, normed spaces and convex bodies, especially with the asymptotics of their various quantitative parameters as the dimension tends to infinity.

Geometric Aspects of Functional Analysis: Israel Seminar (Gafa) 2017-2019 Volume II

Автор: Klartag Bo`az, Milman Emanuel
Название: Geometric Aspects of Functional Analysis: Israel Seminar (Gafa) 2017-2019 Volume II
ISBN: 3030467619 ISBN-13(EAN): 9783030467616
Издательство: Springer
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Цена: 9083.00 р.
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Описание: Two classical topics represented are the Concentration of Measure Phenomenon in the Local Theory of Banach Spaces, which has recently had triumphs in Random Matrix Theory, and the Central Limit Theorem, one of the earliest examples of regularity and order in high dimensions.

Asymptotic Geometric Analysis

Автор: Monika Ludwig; Vitali D. Milman; Vladimir Pestov;
Название: Asymptotic Geometric Analysis
ISBN: 1489993312 ISBN-13(EAN): 9781489993311
Издательство: Springer
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Цена: 18167.00 р.
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Описание: This book examines methods for analyzing the geometric and linear properties of finite dimensional objects, normed spaces and convex bodies, especially with the asymptotics of their various quantitative parameters as the dimension tends to infinity.

Geometric Aspects of Functional Analysis

Автор: Bo`az Klartag; Emanuel Milman
Название: Geometric Aspects of Functional Analysis
ISBN: 3319094769 ISBN-13(EAN): 9783319094762
Издательство: Springer
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Цена: 9781.00 р.
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Описание: As in the previous Seminar Notes, the current volume reflects general trends in the study of Geometric Aspects of Functional Analysis.

Geometric Analysis: Cetraro, Italy 2018

Автор: Gursky Matthew J., Malchiodi Andrea, Fraser Ailana
Название: Geometric Analysis: Cetraro, Italy 2018
ISBN: 3030537242 ISBN-13(EAN): 9783030537241
Издательство: Springer
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Цена: 7685.00 р.
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Описание: This book covers recent advances in several important areas of geometric analysis including extremal eigenvalue problems, mini-max methods in minimal surfaces, CR geometry in dimension three, and the Ricci flow and Ricci limit spaces.

Geometric Analysis Around Scalar Curvatures

Автор: Han Fei Et Al
Название: Geometric Analysis Around Scalar Curvatures
ISBN: 9813100540 ISBN-13(EAN): 9789813100541
Издательство: World Scientific Publishing
Цена: 13939.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание:

This volume contains three expanded lecture notes from the program Scalar Curvature in Manifold Topology and Conformal Geometry that was held at the Institute for Mathematical Sciences from 1 November to 31 December 2014. The first chapter surveys the recent developments on the fourth-order equations with negative exponent from geometric points of view such as positive mass theorem and uniqueness results. The next chapter deals with the recent important progress on several conjectures such as the existence of non-flat smooth hyper-surfaces and Serrin's over-determined problem. And the final chapter induces a new technique to handle the equation with critical index and the sign change coefficient as well as the negative index term. These topics will be of interest to those studying conformal geometry and geometric partial differential equations.

A Geometric Analysis of the Platonic Solids and Other Semi-Regular Polyhedra: With an Introduction to the Phi Ratio, 2nd Edition

Автор: MacLean Kenneth J. M.
Название: A Geometric Analysis of the Platonic Solids and Other Semi-Regular Polyhedra: With an Introduction to the Phi Ratio, 2nd Edition
ISBN: 1615994300 ISBN-13(EAN): 9781615994304
Издательство: Неизвестно
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Цена: 8683.00 р.
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Classical Complex Analysis: A Geometric Approach (Volume 2)

Автор: Lin I-Hsiung
Название: Classical Complex Analysis: A Geometric Approach (Volume 2)
ISBN: 9814271284 ISBN-13(EAN): 9789814271288
Издательство: World Scientific Publishing
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Цена: 20909.00 р.
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Описание: The Riemann mapping theorem is proved and used in solving Dirichlet`s problem for an open disk and, hence, a class of general domains via Perron`s method. Finally, proof of the uniformization theorem of Riemann surfaces is given. This book emphasizes geometric aspects of analytic functions.


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