A First Course in Differential Geometry: Surfaces in Euclidean Space, Lyndon Woodward, John Bolton

Автор: Robert L. Bryant, Mark L. Green
Название: Selected Works of Phillip A. Griffiths with Commentary: Differential Geometry and Hodge Theory (1983-2014)
ISBN: 1470436566 ISBN-13(EAN): 9781470436568
Издательство: Mare Nostrum (Eurospan)
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Цена: 157080.00 T
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Описание: In the period since the original four volumes of Phillip Griffiths`s Selecta were published, Griffiths has continued to produce beautiful and important work. The current two-part publication brings Griffiths`s Selecta up to date by including the majority of his recent articles, as well as two older papers on differential geometry.

Автор: Mark Hagen, Richard Webb, Henry Wilton
Название: Beyond Hyperbolicity
ISBN: 1108447295 ISBN-13(EAN): 9781108447294
Издательство: Cambridge Academ
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Цена: 71810.00 T
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Описание: This book focuses on generalisations of Gromov hyperbolicity in geometric group theory. Five self-contained expository articles introduce topics `beyond hyperbolicity`: these can be used as an introduction for students or as a reference for experts. The final part contains research articles on the latest results in this rich and active field.

Автор: Abe Shenitzer; Boris A. Rosenfeld; Hardy Grant
Название: A History of Non-Euclidean Geometry
ISBN: 0387964584 ISBN-13(EAN): 9780387964584
Издательство: Springer
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Цена: 153720.00 T
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Описание: Investigates the mathematical and philosophical factors underlying the discovery of the concept of noneuclidean geometries, and the subsequent extension of the concept of space. This book covers the evolution of the concept of space. It describes the discovery of noneuclidean geometry, and the corresponding broadening of the concept of space.

Автор: G.E. Martin
Название: The Foundations of Geometry and the Non-Euclidean Plane
ISBN: 0387906940 ISBN-13(EAN): 9780387906942
Издательство: Springer
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Цена: 55850.00 T
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Описание: Suitable for junior, senior, and first-year graduate courses. This work interweaves historical material with a rigorous ruler - and protractor axiomatic development of the Euclidean and hyperbolic planes. It also includes topics such as axiom systems for three and four dimensional absolute geometry, and Pieri`s system based on rigid motions.

Автор: Koji Fujiwara, Sadayoshi Kojima, Ken`ichi Ohshika
Название: Hyperbolic Geometry and Geometric Group Theory
ISBN: 4864970424 ISBN-13(EAN): 9784864970426
Издательство: Mare Nostrum (Eurospan)
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Цена: 62830.00 T
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Описание: The 7th Seasonal Institute of the Mathematical Society of Japan on Hyperbolic Geometry and Geometric Group Theory was held in 2014, at the University of Tokyo. This volume, the proceedings of the meeting, collects survey and research articles in this fast-growing field by international specialists.

Автор: Woodward Lyndon
Название: First Course in Differential Geometry
ISBN: 1108441025 ISBN-13(EAN): 9781108441025
Издательство: Cambridge Academ
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Цена: 38010.00 T
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Описание: This textbook covers the classical topics of differential geometry of surfaces as studied by Gauss: the definition and geometric meaning of Gaussian curvature, the Theorema Egregium, geodesics, and the Gauss-Bonnet Theorem. It is suitable for upper-level undergraduates and contains plentiful examples and exercises, with solutions to selected problems.

Автор: Umehara Masaaki & Yamada Kotaro
Название: Differential Geometry Of Curves And Surfaces
ISBN: 9814740241 ISBN-13(EAN): 9789814740241
Издательство: World Scientific Publishing
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Цена: 44350.00 T
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Описание: This engrossing volume on curve and surface theories is the result of many years of experience the authors have had with teaching the most essential aspects of this subject.

Автор: Umehara Masaaki & Yamada Kotaro
Название: Differential Geometry Of Curves And Surfaces
ISBN: 9814740233 ISBN-13(EAN): 9789814740234
Издательство: World Scientific Publishing
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Цена: 77090.00 T
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Описание: This engrossing volume on curve and surface theories is the result of many years of experience the authors have had with teaching the most essential aspects of this subject.

Автор: Dundas Bjшrn Ian
Название: Short Course in Differential Topology
ISBN: 1108425798 ISBN-13(EAN): 9781108425797
Издательство: Cambridge Academ
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Цена: 49630.00 T
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Описание: This book offers a concise and modern introduction to differential topology, the study of smooth manifolds and their properties, at the advanced undergraduate/beginning graduate level. The treatment throughout is hands-on, including many concrete examples and exercises woven into the text with hints provided to guide the student.

Автор: Taro Asuke, Shigenori Matsumoto, Yoshihiko Mitsumatsu
Название: Geometry, Dynamics, and Foliations 2013: In Honor of Steven Hurder and Takashi Tsuboi on the Occasion of Their 60th Birthdays
ISBN: 4864970408 ISBN-13(EAN): 9784864970402
Издательство: Mare Nostrum (Eurospan)
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Цена: 97020.00 T
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Описание: This volume is an outcome of the conference 'Geometry and Foliations 2013' held in Tokyo in September 2013 and associated meetings, aimed for providing a good overview of the present studies as well as some perspective for further studies.The aspects and quality of the volume is represented by B Deroin's survey on Brownian motions on foliated complex surfaces which contains many essential results and ideas.Other articles cover wide topics of foliations and groups of diffeomorphisms old and new; some discuss characteristic classes such as Godbillon-Vey class or homotopy theory of foliations while others deal with topological and differential geometrical aspects, particularly in the holomorphic setting.Also, several articles shows relationship to the geometric group theory.Highly recommended to researchers and graduate students who are interested in and going to study the theories of foliations and related topics such as diffeomorphism groups, geometric group theory.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America

Автор: Raymond O. Wells, Jr.
Название: Differential and Complex Geometry: Origins, Abstractions and Embeddings
ISBN: 331958183X ISBN-13(EAN): 9783319581835
Издательство: Springer
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Цена: 111790.00 T
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Описание: Differential and complex geometry are two central areas of mathematics with a long and intertwined history. This book, the first to provide a unified historical perspective of both subjects, explores their origins and developments from the sixteenth to the twentieth century.
Providing a detailed examination of the seminal contributions to differential and complex geometry up to the twentieth century embedding theorems, this monograph includes valuable excerpts from the original documents, including works of Descartes, Fermat, Newton, Euler, Huygens, Gauss, Riemann, Abel, and Nash.
Suitable for beginning graduate students interested in differential, algebraic or complex geometry, this book will also appeal to more experienced readers.

Автор: Chen Bang-yen
Название: Differential Geometry Of Warped Product Manifolds And Submanifolds
ISBN: 9813208929 ISBN-13(EAN): 9789813208926
Издательство: World Scientific Publishing
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Цена: 174240.00 T
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Описание:

A warped product manifold is a Riemannian or pseudo-Riemannian manifold whose metric tensor can be decomposed into a Cartesian product of the y geometry and the x geometry -- except that the x-part is warped, that is, it is rescaled by a scalar function of the other coordinates y. The notion of warped product manifolds plays very important roles not only in geometry but also in mathematical physics, especially in general relativity. In fact, many basic solutions of the Einstein field equations, including the Schwarzschild solution and the Robertson-Walker models, are warped product manifolds.

The first part of this volume provides a self-contained and accessible introduction to the important subject of pseudo-Riemannian manifolds and submanifolds. The second part presents a detailed and up-to-date account on important results of warped product manifolds, including several important spacetimes such as Robertson-Walker's and Schwarzschild's.

The famous John Nash's embedding theorem published in 1956 implies that every warped product manifold can be realized as a warped product submanifold in a suitable Euclidean space. The study of warped product submanifolds in various important ambient spaces from an extrinsic point of view was initiated by the author around the beginning of this century.

The last part of this volume contains an extensive and comprehensive survey of numerous important results on the geometry of warped product submanifolds done during this century by many geometers.