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Geometric Multivector Analysis, Andreas Ros?n


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Цена: 55890.00T
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Склад Америка: 206 шт.  
При оформлении заказа до: 2025-07-28
Ориентировочная дата поставки: Август-начало Сентября
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Автор: Andreas Ros?n
Название:  Geometric Multivector Analysis
ISBN: 9783030314132
Издательство: Springer
Классификация:




ISBN-10: 3030314138
Обложка/Формат: Soft cover
Страницы: 465
Вес: 0.73 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 25
Читательская аудитория: Professional & vocational
Основная тема: Mathematics
Подзаголовок: From Grassmann to Dirac
Ссылка на Издательство: Link
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Поставляется из: Германии
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.

Geometric Partial Differential Equations and Image Analysis

Автор: Guillermo Sapiro
Название: Geometric Partial Differential Equations and Image Analysis
ISBN: 0521685079 ISBN-13(EAN): 9780521685078
Издательство: Cambridge Academ
Цена: 53850.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Researchers and practitioners will be able to achieve state-of-the-art practical results in a large number of real problems with the techniques described here. Applications covered include image segmentation, shape analysis, image enhancement, and tracking.

Geometric Multivector Analysis

Автор: Andreas Ros?n
Название: Geometric Multivector Analysis
ISBN: 3030314103 ISBN-13(EAN): 9783030314101
Издательство: Springer
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Цена: 55890.00 T
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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.

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: 79190.00 T
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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.

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: 51230.00 T
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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.

Convex Analysis and Nonlinear Geometric Elliptic Equations

Автор: Ilya J. Bakelman
Название: Convex Analysis and Nonlinear Geometric Elliptic Equations
ISBN: 3642698832 ISBN-13(EAN): 9783642698835
Издательство: Springer
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Цена: 79190.00 T
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Описание: Investigations in modem nonlinear analysis rely on ideas, methods and prob- lems from various fields of mathematics, mechanics, physics and other applied sciences.

Geometric Analysis and Computer Graphics

Автор: Paul Concus; Robert Finn; David A. Hoffman
Название: Geometric Analysis and Computer Graphics
ISBN: 1461397138 ISBN-13(EAN): 9781461397137
Издательство: Springer
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Цена: 111790.00 T
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Описание: The present volume is offered as a permanent record for those who were present, and also with a view toward making the material available to a wider audience than were able to attend.

Geometric and Harmonic Analysis on Homogeneous Spaces

Автор: Ali Baklouti; Takaaki Nomura
Название: Geometric and Harmonic Analysis on Homogeneous Spaces
ISBN: 3030265641 ISBN-13(EAN): 9783030265649
Издательство: Springer
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Цена: 93160.00 T
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Geometric Complex Analysis

Автор: Jisoo Byun; Hong Rae Cho; Sung Yeon Kim; Kang-Hyur
Название: Geometric Complex Analysis
ISBN: 9811346631 ISBN-13(EAN): 9789811346637
Издательство: Springer
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Цена: 149060.00 T
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Описание: The KSCV Symposium, the Korean Conference on Several Complex Variables, started in 1997 in an effort to promote the study of complex analysis and geometry. Since then, the conference met semi-regularly for about 10 years and then settled on being held biannually. The sixth and tenth conferences were held in 2002 and 2014 as satellite conferences to the Beijing International Congress of Mathematicians (ICM) and the Seoul ICM, respectively. The purpose of the KSCV Symposium is to organize the research talks of many leading scholars in the world, to provide an opportunity for communication, and to promote new researchers in this field.

Geometric and Harmonic Analysis on Homogeneous Spaces and Applications: Tjc 2015, Monastir, Tunisia, December 18-23

Автор: Baklouti Ali, Nomura Takaaki
Название: Geometric and Harmonic Analysis on Homogeneous Spaces and Applications: Tjc 2015, Monastir, Tunisia, December 18-23
ISBN: 3319879677 ISBN-13(EAN): 9783319879673
Издательство: Springer
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Цена: 93160.00 T
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Описание: It also includes the most recent developments on other areas of mathematics including algebra and geometry. Lie group representation theory and harmonic analysis on Lie groups and on their homogeneous spaces form a significant and important area of mathematical research.

Geometric Analysis and Nonlinear Partial Differential Equations

Автор: Stefan Hildebrandt; Hermann Karcher
Название: Geometric Analysis and Nonlinear Partial Differential Equations
ISBN: 3642628877 ISBN-13(EAN): 9783642628870
Издательство: Springer
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Цена: 102480.00 T
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Описание: Richard Courant wrote in 1950: "It has always been a temptationfor mathematicians to present the crystallized product of their thought as a deductive general theory and to relegate the individual mathematical phenomenon into the role of an example.

Geometric Analysis: In Honor of Gang Tian`s 60th Birthday

Автор: Chen Jingyi, Lu Peng, Lu Zhiqin
Название: Geometric Analysis: In Honor of Gang Tian`s 60th Birthday
ISBN: 3030349527 ISBN-13(EAN): 9783030349523
Издательство: Springer
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Цена: 130430.00 T
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Описание:

Preface.- Big and nef classes, Futaki Invariant and resolutions of cubic threefolds.- Bottom of spectra and amenability of coverings.- Some remarks on the geometry of a class of locally conformally at metrics.- Analytical properties for degenerate equations.- On the existence problem of Einstein-Maxwell Kдhler Metrics.- Local moduli of scalar-flat Kдhler ale surfaces.- Singular Ricci flows II.- An inequality between complex Hessian measures of Hцlder continuous m-subharmonic functions and capacity.- A guided tour to normalized volume.- Towards a Liouville theorem for continuous viscosity solutions to fully nonlinear elliptic equations in conformal geometry.- Equivariant K-theory and Resolution I: Abelian actions.- Arsove-Huber's Theorem in Higher Dimensions.- From local index theory to Bergman kernel: a heat kernel approach.- Fourier-Mukai Transforms, Euler-Green Currents, and K-Stability.- The Variations of Yang-Mills Lagrangian.- Tian's properness conjectures: an introduction to Kдhler geometry.- Ancient solutions in geometric flows.- The Kдhler-Ricci flow on CP2.- Pluriclosed flow and the geometrization of complex surfaces.- From Optimal Transportation to Conformal Geometry.- Special Lagrangian Equation.- Positive scalar curvature on foliations: the enlargeability.- Kдhler-Einstein metrics on toric manifolds and G-manifolds.- Some Questions in the Theory of Pseudoholomorphic Curves.


Riemannian Geometric Statistics in Medical Image Analysis

Автор: Pennec Xavier
Название: Riemannian Geometric Statistics in Medical Image Analysis
ISBN: 0128147253 ISBN-13(EAN): 9780128147252
Издательство: Elsevier Science
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Цена: 107740.00 T
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Описание:

Over the past 15 years, there has been a growing need in the medical image computing community for principled methods to process nonlinear geometric data. Riemannian geometry has emerged as one of the most powerful mathematical and computational frameworks for analyzing such data.

Riemannian Geometric Statistics in Medical Image Analysis is a complete reference on statistics on Riemannian manifolds and more general nonlinear spaces with applications in medical image analysis. It provides an introduction to the core methodology followed by a presentation of state-of-the-art methods.

Beyond medical image computing, the methods described in this book may also apply to other domains such as signal processing, computer vision, geometric deep learning, and other domains where statistics on geometric features appear. As such, the presented core methodology takes its place in the field of geometric statistics, the statistical analysis of data being elements of nonlinear geometric spaces. The foundational material and the advanced techniques presented in the later parts of the book can be useful in domains outside medical imaging and present important applications of geometric statistics methodology

Content includes:

  • The foundations of Riemannian geometric methods for statistics on manifolds with emphasis on concepts rather than on proofs
  • Applications of statistics on manifolds and shape spaces in medical image computing
  • Diffeomorphic deformations and their applications

As the methods described apply to domains such as signal processing (radar signal processing and brain computer interaction), computer vision (object and face recognition), and other domains where statistics of geometric features appear, this book is suitable for researchers and graduate students in medical imaging, engineering and computer science.

  • A complete reference covering both the foundations and state-of-the-art methods
  • Edited and authored by leading researchers in the field
  • Contains theory, examples, applications, and algorithms
  • Gives an overview of current research challenges and future applications


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