Crystallographic Groups and Their Generalizations

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Publisher : American Mathematical Soc.
ISBN 13 : 082182001X
Total Pages : 330 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Crystallographic Groups and Their Generalizations by : Paul Igodt

Download or read book Crystallographic Groups and Their Generalizations written by Paul Igodt and published by American Mathematical Soc.. This book was released on 2000 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains articles written by the invited speakers and workshop participants from the conference on "Crystallographic Groups and Their Generalizations", held at Katholieke Universiteit Leuven, Kortrijk (Belgium). Presented are recent developments and open problems. Topics include the theory of affine structures and polynomial structures, affine Schottky groups and crooked tilings, theory and problems on the geometry of finitely generated solvable groups, flat Lorentz 3-manifolds and Fuchsian groups, filiform Lie algebras, hyperbolic automorphisms and Anosov diffeomorphisms on infra-nilmanifolds, localization theory of virtually nilpotent groups and aspherical spaces, projective varieties, and results on affine appartment systems. Participants delivered high-level research mathematics and a discussion was held forum for new researchers. The survey results and original papers contained in this volume offer a comprehensive view of current developments in the field.

Advances in Mathematics Research

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Publisher : Nova Publishers
ISBN 13 : 9781590334522
Total Pages : 178 pages
Book Rating : 4.3/5 (345 download)

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Book Synopsis Advances in Mathematics Research by : Gabriel Oyibo

Download or read book Advances in Mathematics Research written by Gabriel Oyibo and published by Nova Publishers. This book was released on 2003-09-10 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics has been behind many of humanity's most significant advances in fields as varied as genome sequencing, medical science, space exploration, and computer technology. But those breakthroughs were yesterday. Where will mathematicians lead us tomorrow and can we help to shape that destiny? This book assembles carefully selected articles highlighting and explaining cutting-edge research and scholarship in mathematics.

Polynomial Automorphisms

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Publisher : Springer Science & Business Media
ISBN 13 : 9783764363505
Total Pages : 360 pages
Book Rating : 4.3/5 (635 download)

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Book Synopsis Polynomial Automorphisms by : Arno van den Essen

Download or read book Polynomial Automorphisms written by Arno van den Essen and published by Springer Science & Business Media. This book was released on 2000-09 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Motivated by some notorious open problems, such as the Jacobian conjecture and the tame generators problem, the subject of polynomial automorphisms has become a rapidly growing field of interest. This book, the first in the field, collects many of the results scattered throughout the literature. It introduces the reader to a fascinating subject and brings him to the forefront of research in this area. Some of the topics treated are invertibility criteria, face polynomials, the tame generators problem, the cancellation problem, exotic spaces, DNA for polynomial automorphisms, the Abhyankar-Moh theorem, stabilization methods, dynamical systems, the Markus-Yamabe conjecture, group actions, Hilbert's 14th problem, various linearization problems and the Jacobian conjecture. The work is essentially self-contained and aimed at the level of beginning graduate students. Exercises are included at the end of each section. At the end of the book there are appendices to cover used material from algebra, algebraic geometry, D-modules and Gröbner basis theory. A long list of ''strong'' examples and an extensive bibliography conclude the book.

Polynomial Automorphisms

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Author :
Publisher : Birkhäuser
ISBN 13 : 3034884400
Total Pages : 336 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Polynomial Automorphisms by : Arno van den Essen

Download or read book Polynomial Automorphisms written by Arno van den Essen and published by Birkhäuser. This book was released on 2012-12-06 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Motivated by some notorious open problems, such as the Jacobian conjecture and the tame generators problem, the subject of polynomial automorphisms has become a rapidly growing field of interest. This book, the first in the field, collects many of the results scattered throughout the literature. It introduces the reader to a fascinating subject and brings him to the forefront of research in this area. Some of the topics treated are invertibility criteria, face polynomials, the tame generators problem, the cancellation problem, exotic spaces, DNA for polynomial automorphisms, the Abhyankar-Moh theorem, stabilization methods, dynamical systems, the Markus-Yamabe conjecture, group actions, Hilbert's 14th problem, various linearization problems and the Jacobian conjecture. The work is essentially self-contained and aimed at the level of beginning graduate students. Exercises are included at the end of each section. At the end of the book there are appendices to cover used material from algebra, algebraic geometry, D-modules and Gröbner basis theory. A long list of ''strong'' examples and an extensive bibliography conclude the book.

Grothendieck-Serre Correspondence

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Publisher : American Mathematical Society, Société Mathématique de France
ISBN 13 : 1470469391
Total Pages : 600 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Grothendieck-Serre Correspondence by : Pierre Colmez

Download or read book Grothendieck-Serre Correspondence written by Pierre Colmez and published by American Mathematical Society, Société Mathématique de France. This book was released on 2022-05-25 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is a bilingual (French and English) edition of the mathematical correspondence between A. Grothendieck and J-P. Serre. The original French text of 84 letters is supplemented here by the English translation, with French text printed on the left-hand pages and the corresponding English text printed on the right-hand pages. The book also includes several facsimiles of original letters. The letters presented in the book were mainly written between 1955 and 1965. During this period, algebraic geometry went through a remarkable transformation, and Grothendieck and Serre were among central figures in this process. The reader can follow the creation of some of the most important notions of modern mathematics, like sheaf cohomology, schemes, Riemann-Roch type theorems, algebraic fundamental group, motives. The letters also reflect the mathematical and political atmosphere of this period (Bourbaki, Paris, Harvard, Princeton, war in Algeria, etc.). Also included are a few letters written between 1984 and 1987. The letters are supplemented by J-P. Serre's notes, which give explanations, corrections, and references further results. The book should be useful to specialists in algebraic geometry, in history of mathematics, and to all mathematicians who want to understand how great mathematics is created.

Differential Geometry and Relativity

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Publisher : Springer Science & Business Media
ISBN 13 : 9789027707451
Total Pages : 324 pages
Book Rating : 4.7/5 (74 download)

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Book Synopsis Differential Geometry and Relativity by : M. Cahen

Download or read book Differential Geometry and Relativity written by M. Cahen and published by Springer Science & Business Media. This book was released on 1976-12-31 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: On the sixtieth birthday of Andre Lichnerowicz a number of his friends, students, and coworkers decided to celebrate this event by preparing a jubilee volume of contributed articles in the two main fields of research marked by Lichnerowicz's work: differential geometry and mathematical physics. It was impossible to reflect in a single book the great variety of subjects tackled by Lichnerowicz. We hope that this book reflects some of the present trends of fields in which he worked, and some of the subjects to which he contributed in his long - and not yet finished - career. This career was very much marked by the influence of his masters, Elie Cartan who introduced him to research in mathematics, mainly in geometry and its relations with mathematical physics, and Georges Darmois who developed his interest in mechanics and physics, especially the theory of relativity and electromagnetism. This combination, and his personal talent, made him a natural scientific heir and continuator of the French mathematical physics school in the tradition of Henri Poincare. Some of his works would even be best qualified by a new field name, that of physical mathematics: branches of pure mathematics entirely motivated by physics.

Affine Transformations in a Quaternion Manifold

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Publisher :
ISBN 13 :
Total Pages : 26 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Affine Transformations in a Quaternion Manifold by : S. I. Goldberg

Download or read book Affine Transformations in a Quaternion Manifold written by S. I. Goldberg and published by . This book was released on 1958 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Affine Space Fibrations

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110577569
Total Pages : 360 pages
Book Rating : 4.1/5 (15 download)

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Book Synopsis Affine Space Fibrations by : Rajendra V. Gurjar

Download or read book Affine Space Fibrations written by Rajendra V. Gurjar and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-07-05 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Affine algebraic geometry has progressed remarkably in the last half a century, and its central topics are affine spaces and affine space fibrations. This authoritative book is aimed at graduate students and researchers alike, and studies the geometry and topology of morphisms of algebraic varieties whose general fibers are isomorphic to the affine space while describing structures of algebraic varieties with such affine space fibrations.

Affine Algebraic Geometry

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Publisher : 大阪大学出版会
ISBN 13 :
Total Pages : 518 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Affine Algebraic Geometry by : 日比孝之

Download or read book Affine Algebraic Geometry written by 日比孝之 and published by 大阪大学出版会. This book was released on 2007-03 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: アフィン代数幾何は代数幾何学の一つの研究分野であり、アメリカ合衆国数学会の Mathematical Reviews では、アフィン幾何学として分類されている。 アフィン代数多様体の幾何学的な研究とともに、多項式環の代数的な問題の幾何学的な道具を駆使した研究が盛んである。当該記念論文集には、宮西正宜教授の同僚らから寄稿された研究論文19編に加え、宮西正宜教授自身による60ページを越える超大作の論文が収録されており、読者は、此所15年間におけるアフィン代数幾何の進展の状況と現在の潮流を眺望することができる。 アフィン代数幾何と多項式環の周辺の研究者、大学院生のための必読の好著である。 献呈の辞(Dedication)は永田雅宜京都大学名誉教授が執筆。

Differential Geometrical Theory of Statistics

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Publisher : MDPI
ISBN 13 : 3038424242
Total Pages : 473 pages
Book Rating : 4.0/5 (384 download)

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Book Synopsis Differential Geometrical Theory of Statistics by : Frédéric Barbaresco

Download or read book Differential Geometrical Theory of Statistics written by Frédéric Barbaresco and published by MDPI. This book was released on 2018-04-06 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a printed edition of the Special Issue "Differential Geometrical Theory of Statistics" that was published in Entropy

Progress in Information Geometry

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Publisher : Springer Nature
ISBN 13 : 3030654591
Total Pages : 274 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Progress in Information Geometry by : Frank Nielsen

Download or read book Progress in Information Geometry written by Frank Nielsen and published by Springer Nature. This book was released on 2021-03-14 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on information-geometric manifolds of structured data and models and related applied mathematics. It features new and fruitful interactions between several branches of science: Advanced Signal/Image/Video Processing, Complex Data Modeling and Analysis, Statistics on Manifolds, Topology/Machine/Deep Learning and Artificial Intelligence. The selection of applications makes the book a substantial information source, not only for academic scientist but it is also highly relevant for industry. The book project was initiated following discussions at the international conference GSI’2019 – Geometric Science of Information that was held at ENAC, Toulouse (France).

Algebraic Geometry: Salt Lake City 2015

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Publisher : American Mathematical Soc.
ISBN 13 : 1470435772
Total Pages : 674 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Algebraic Geometry: Salt Lake City 2015 by : Tommaso de Fernex

Download or read book Algebraic Geometry: Salt Lake City 2015 written by Tommaso de Fernex and published by American Mathematical Soc.. This book was released on 2018-06-01 with total page 674 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is Part 1 of a two-volume set. Since Oscar Zariski organized a meeting in 1954, there has been a major algebraic geometry meeting every decade: Woods Hole (1964), Arcata (1974), Bowdoin (1985), Santa Cruz (1995), and Seattle (2005). The American Mathematical Society has supported these summer institutes for over 50 years. Their proceedings volumes have been extremely influential, summarizing the state of algebraic geometry at the time and pointing to future developments. The most recent Summer Institute in Algebraic Geometry was held July 2015 at the University of Utah in Salt Lake City, sponsored by the AMS with the collaboration of the Clay Mathematics Institute. This volume includes surveys growing out of plenary lectures and seminar talks during the meeting. Some present a broad overview of their topics, while others develop a distinctive perspective on an emerging topic. Topics span both complex algebraic geometry and arithmetic questions, specifically, analytic techniques, enumerative geometry, moduli theory, derived categories, birational geometry, tropical geometry, Diophantine questions, geometric representation theory, characteristic and -adic tools, etc. The resulting articles will be important references in these areas for years to come.

Vector Bundles in Algebraic Geometry

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Publisher : Cambridge University Press
ISBN 13 : 0521498783
Total Pages : 359 pages
Book Rating : 4.5/5 (214 download)

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Book Synopsis Vector Bundles in Algebraic Geometry by : N. J. Hitchin

Download or read book Vector Bundles in Algebraic Geometry written by N. J. Hitchin and published by Cambridge University Press. This book was released on 1995-03-16 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of survey articles by the main speakers at the 1993 Durham symposium on vector bundles in algebraic geometry.

Foliations, Geometry, and Topology

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Publisher : American Mathematical Soc.
ISBN 13 : 0821846280
Total Pages : 247 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Foliations, Geometry, and Topology by : Nicolau Corção Saldanha

Download or read book Foliations, Geometry, and Topology written by Nicolau Corção Saldanha and published by American Mathematical Soc.. This book was released on 2009 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the proceedings of the conference on Foliations, Geometry, and Topology, held August 6-10, 2007, in Rio de Janeiro, Brazil, in honor of the 70th birthday of Paul Schweitzer. The papers focus on the theory of foliations and related areas such as dynamical systems, group actions on low dimensional manifolds, and geometry of hypersurfaces.

Geometric Structures of Information

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Publisher : Springer
ISBN 13 : 3030025209
Total Pages : 395 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Geometric Structures of Information by : Frank Nielsen

Download or read book Geometric Structures of Information written by Frank Nielsen and published by Springer. This book was released on 2018-11-19 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on information geometry manifolds of structured data/information and their advanced applications featuring new and fruitful interactions between several branches of science: information science, mathematics and physics. It addresses interrelations between different mathematical domains like shape spaces, probability/optimization & algorithms on manifolds, relational and discrete metric spaces, computational and Hessian information geometry, algebraic/infinite dimensional/Banach information manifolds, divergence geometry, tensor-valued morphology, optimal transport theory, manifold & topology learning, and applications like geometries of audio-processing, inverse problems and signal processing. The book collects the most important contributions to the conference GSI’2017 – Geometric Science of Information.

Algebra and Operator Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 9401150729
Total Pages : 254 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Algebra and Operator Theory by : Y. Khakimdjanov

Download or read book Algebra and Operator Theory written by Y. Khakimdjanov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the lectures given during the second French-Uzbek Colloquium on Algebra and Operator Theory which took place in Tashkent in 1997, at the Mathematical Institute of the Uzbekistan Academy of Sciences. Among the algebraic topics discussed here are deformation of Lie algebras, cohomology theory, the algebraic variety of the laws of Lie algebras, Euler equations on Lie algebras, Leibniz algebras, and real K-theory. Some contributions have a geometrical aspect, such as supermanifolds. The papers on operator theory deal with the study of certain types of operator algebras. This volume also contains a detailed introduction to the theory of quantum groups. Audience: This book is intended for graduate students specialising in algebra, differential geometry, operator theory, and theoretical physics, and for researchers in mathematics and theoretical physics.

International Journal of Mathematics, Game Theory, and Algebra

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Publisher :
ISBN 13 :
Total Pages : 274 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis International Journal of Mathematics, Game Theory, and Algebra by :

Download or read book International Journal of Mathematics, Game Theory, and Algebra written by and published by . This book was released on 2004 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: