topology and geometry

Variational Problems in Topology The Geometry of Length, Area and Volume【電子書籍】 A.T. Fomenko理論物理学のための幾何学とトポロジー 2 / 原タイトル:GEOMETRY TOPOLOGY AND PHYSICS 原著第2版の翻訳 本/雑誌 / 中原幹夫/著 久木田真吾/訳 佐久間一浩/訳 中原幹夫/訳 綿村尚毅/訳Singularities and Foliations. Geometry, Topology and Applications BMMS 2/NBMS 3, Salvador, Brazil, 2015【電子書籍】Foliations: Dynamics, Geometry and Topology FOLIATIONS DYNAMICS GEOMETRY （Advanced Courses in Mathematics - Crm Barcelona） Masayuki AsaokaTopology, Geometry and Gauge fields Foundations【電子書籍】 Gregory L. Naber理論物理学のための幾何学とトポロジー 1 / 原タイトル:GEOMETRY TOPOLOGY AND PHYSICS 原著第2版の翻訳 本/雑誌 / 中原幹夫/著 中原幹夫/訳 佐久間一浩/訳Differential Geometry and Mathematical Physics Part II. Fibre Bundles, Topology and Gauge Fields【電子書籍】 Gerd RudolphIn the Tradition of Thurston Geometry and Topology【電子書籍】Many-body Physics, Topology And Geometry【電子書籍】 Siddhartha SenSqueaky Clean Topology in Blender Create accurate deformations and optimized geometry for characters and hard surface models【電子書籍】 Michael SteppigGeometry, Topology And Physics Of Moduli Spaces Of Higgs Bundles, The【電子書籍】 Richard WentworthComputational Geometry, Topology and Physics of Digital Images with Applications Shape Complexes, Optical Vortex Nerves and Proximities【電子書籍】 James F. PetersHomology, Cohomology, and Sheaf Cohomology for Algebraic Topology, Algebraic Geometry, and Differential Geometry【電子書籍】 Jean GallierTopology and Geometry for Physicists TOPOLOGY GEOMETRY FOR PHYSIC （Dover Books on Mathematics） Charles NashTopology and Geometry for Physicists【電子書籍】 Charles NashApplications Of Contact Geometry And Topology In Physics【電子書籍】 Arkady L KholodenkoExtended Abstracts GEOMVAP 2019 Geometry, Topology, Algebra, and Applications Women in Geometry and Topology【電子書籍】Topology and Geometry for Physics【電子書籍】 Helmut EschrigGeometry, Dynamics And Topology Of Foliations: A First Course【電子書籍】 Bruno ScarduaHandbook of Geometry and Topology of Singularities II【電子書籍】

Variational Problems in Topology The Geometry of Length, Area and Volume【電子書籍】[ A.T. Fomenko ]

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  • ＜p＞Many of the modern variational problems in topology arise in different but overlapping fields of scientific study: mechanics, physics and mathematics. In this work, Professor Fomenko offers a concise and clean explanation of some of these problems (both solved and unsolved), using current methods and analytical topology. The author's skillful exposition gives an unusual motivation to the theory expounded, and his work is recommended reading for specialists and nonspecialists alike, involved in the fields of physics and mathematics at both undergraduate and graduate levels.＜/p＞画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。

    • 理論物理学のための幾何学とトポロジー 2 / 原タイトル:GEOMETRY TOPOLOGY AND PHYSICS 原著第2版の翻訳[本/雑誌] / 中原幹夫/著 久木田真吾/訳 佐久間一浩/訳 中原幹夫/訳 綿村尚毅/訳

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  • ご注文前に必ずご確認ください＜商品説明＞トポロジーと幾何学を統一的に扱う。盛んに研究されている物理学分野への応用も解説。内容を更新し、数学的な補足もさらに充実した新版。＜収録内容＞第9章 ファイバー束第10章 ファイバー束上の接続第11章 特性類第12章 指数定理第13章 ゲージ場理論におけるアノマリー第14章 ボソン的弦理論＜商品詳細＞商品番号：NEOBK-2658417Nakahara Mikio / Cho Hisashi Kida Shin Ware / Yaku Sakuma Kazuhiro / Yaku Nakahara Mikio / Yaku Wata Mura Nao Atsushi / Yaku / Riron Butsuri Gaku No Tame No Kika Gaku to Topology 2 / Hara Title : GEOMETRY TOPOLOGY and PHYSICS Gencho Dai2 Han No Honyakuメディア：本/雑誌重量：340g発売日：2021/09JAN：9784535788077理論物理学のための幾何学とトポロジー 2 / 原タイトル:GEOMETRY TOPOLOGY AND PHYSICS 原著第2版の翻訳[本/雑誌] / 中原幹夫/著 久木田真吾/訳 佐久間一浩/訳 中原幹夫/訳 綿村尚毅/訳2021/09発売

    • Singularities and Foliations. Geometry, Topology and Applications BMMS 2/NBMS 3, Salvador, Brazil, 2015【電子書籍】

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    価格 ￥18,231 
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  • ＜p＞This proceedings book brings selected works from two conferences, the 2nd Brazil-Mexico Meeting on Singularity and the 3rd Northeastern Brazilian Meeting on Singularities, that were hold in Salvador, in July 2015. All contributions were carefully peer-reviewed and revised, and cover topics like Equisingularity, Topology and Geometry of Singularities, Topological Classification of Singularities of Mappings, and more. They were written by mathematicians from several countries, including Brazil, Spain, Mexico, Japan and the USA, on relevant topics on Theory of Singularity, such as studies on deformations, Milnor fibration, foliations, Catastrophe theory, and myriad applications. Open problems are also introduced, making this volume a must-read both for graduate students and active researchers in this field.＜/p＞画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文...

    • Foliations: Dynamics, Geometry and Topology FOLIATIONS DYNAMICS GEOMETRY & （Advanced Courses in Mathematics - Crm Barcelona） [ Masayuki Asaoka ]

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  • FOLIATIONS DYNAMICS GEOMETRY & Advanced Courses in Mathematics ー Crm Barcelona Masayuki Asaoka Aziz El Kacimi Alaoui Steven Hurder SPRINGER NATURE2014 Paperback 2014 English ISBN：9783034808705 洋書 Computers & Science（コンピューター＆科学） Mathematics

    • Topology, Geometry and Gauge fields Foundations【電子書籍】[ Gregory L. Naber ]

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    価格 ￥7,292 
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  • ＜p＞This is a book on topology and geometry and, like any books on subjects as vast as these, it has a point-of-view that guided the selection of topics. Naber takes the view that the rekindled interest that mathematics and physics have shown in each other of late should be fostered and that this is best accomplished by allowing them to cohabit. The book weaves together rudimentary notions from the classical gauge theory of physics with the topological and geometrical concepts that became the mathematical models of these notions. We ask the reader to come to us with some vague notion of what an electromagnetic field might be, a willingness to accept a few of the more elementary pronouncements of quantum mechanics, a solid background in real analysis and linear algebra and some of the vocabulary of modern algebra. To such a reader we offer an excursion that begins with the definition of a topological space and finds its way eventually to the moduli space of anti-self-dual SU(2) conn...

    • 理論物理学のための幾何学とトポロジー 1 / 原タイトル:GEOMETRY TOPOLOGY AND PHYSICS 原著第2版の翻訳[本/雑誌] / 中原幹夫/著 中原幹夫/訳 佐久間一浩/訳

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  • ご注文前に必ずご確認ください＜商品説明＞理論物理学を学ぶ際に必須な現代数学のエッセンス。物理学に広く応用されるトポロジーと幾何学を解説。経路積分の説明を補い、内容を再編成した。数学的な補足も充実。＜収録内容＞第1章 量子物理学第2章 数学からの準備第3章 ホモロジー群第4章 ホモトピー群第5章 多様体論第6章 de Rhamコホモロジー群第7章 Riemann幾何学第8章 複素多様体＜商品詳細＞商品番号：NEOBK-2302343Nakahara Mikio / Cho Nakahara Mikio / Yaku Sakuma Kazuhiro / Yaku / Riron Butsuri Gaku No Tame No Kika Gaku to Topology 1 / Hara Title : GEOMETRY TOPOLOGY and PHYSICS Gencho Dai2 Han No Honyakuメディア：本/雑誌発売日：2018/11JAN：9784535788060理論物理学のための幾何学とトポロジー 1 / 原タイトル:GEOMETRY TOPOLOGY AND PHYSICS 原著第2版の翻訳[本/雑誌] / 中原幹夫/著 中原幹夫/訳 佐久間一浩/訳2018/11発売

    • Differential Geometry and Mathematical Physics Part II. Fibre Bundles, Topology and Gauge Fields【電子書籍】[ Gerd Rudolph ]

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    価格 ￥30,386 
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  • ＜p＞The book is devoted to the study of the geometrical and topological structure of gauge theories. It consists of the following three building blocks:＜/p＞ ＜p＞- Geometry and topology of fibre bundles,＜/p＞ ＜p＞- Clifford algebras, spin structures and Dirac operators,＜/p＞ ＜p＞- Gauge theory.＜/p＞ ＜p＞Written in the style of a mathematical textbook, it combines a comprehensive presentation of the mathematical foundations with a discussion of a variety of advanced topics in gauge theory.＜/p＞ ＜p＞The first building block includes a number of specific topics, like invariant connections, universal connections, H-structures and the Postnikov approximation of classifying spaces.＜/p＞ ＜p＞Given the great importance of Dirac operators in gauge theory, a complete proof of the Atiyah-Singer Index Theorem is presented. The gauge theory part contains the study of Yang-Mills equations (including the theory of instantons and the classical stability analysis), the discussion of var...

    • In the Tradition of Thurston Geometry and Topology【電子書籍】

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  • ＜p＞This book consists of 16 surveys on Thurston's work and its later development. The authors are mathematicians who were strongly influenced by Thurston's publications and ideas. The subjects discussed include, among others, knot theory, the topology of 3-manifolds, circle packings, complex projective structures, hyperbolic geometry, Kleinian groups, foliations, mapping class groups, Teichm?ller theory, anti-de Sitter geometry, and co-Minkowski geometry.＜/p＞ ＜p＞The book is addressed to researchers and students who want to learn about Thurston’s wide-ranging mathematical ideas and their impact. At the same time, it is a tribute to Thurston, one of the greatest geometers of all time, whose work extended over many fields in mathematics and who had a unique way of perceiving forms and patterns, and of communicating and writing mathematics.＜/p＞画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリック...

    • Many-body Physics, Topology And Geometry【電子書籍】[ Siddhartha Sen ]

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  • ＜p＞The book explains concepts and ideas of mathematics and physics that are relevant for advanced students and researchers of condensed matter physics. With this aim, a brief intuitive introduction to many-body theory is given as a powerful qualitative tool for understanding complex systems. The important emergent concept of a quasiparticle is then introduced as a way to reduce a many-body problem to a single particle quantum problem. Examples of quasiparticles in graphene, superconductors, superfluids and in a topological insulator on a superconductor are discussed.The mathematical idea of self-adjoint extension, which allows short distance information to be included in an effective long distance theory through boundary conditions, is introduced through simple examples and then applied extensively to analyse and predict new physical consequences for graphene.The mathematical discipline of topology is introduced in an intuitive way and is then combined with the methods of differen...

    • Squeaky Clean Topology in Blender Create accurate deformations and optimized geometry for characters and hard surface models【電子書籍】[ Michael Steppig ]

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    価格 ￥3,064 
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  • ＜p＞A comprehensive introduction to 3D modeling, from the fundamental ideas of topology to in-depth examples that will help you take your projects to the next level Key Features ? Overcome complex topology problems while working through projects ? Learn to topologize quad-based and non-quad-based meshes with step-by-step examples ? Optimize your models by reducing the triangle count to improve performance Book Description This book is an introduction to modeling and an in-depth look at topology in Blender, written by a Blender topology specialist with years of experience with the software. As you progress through its chapters, you'll conquer the basics of quad-based topology using triangles and Ngons, and learn best practices and things to avoid while modeling and retopologizing. The pages are full of illustrations and examples with in-depth explanations that showcase each step in an easy-to-follow format. Squeaky Clean Topology in Blender starts by introducing you to the user inte...

    • Geometry, Topology And Physics Of Moduli Spaces Of Higgs Bundles, The【電子書籍】[ Richard Wentworth ]

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  • ＜p＞In the 25 years since their introduction, Higgs bundles have seen a surprising number of interactions within different areas of mathematics and physics. There is a recent surge of interest following Ng? Bau Ch?u's proof of the Fundamental Lemma and the work of Kapustin and Witten on the Geometric Langlands program. The program on The Geometry, Topology and Physics of Moduli Spaces of Higgs Bundles, was held at the Institute for Mathematical Sciences at the National University of Singapore during 2014. It hosted a number of lectures on recent topics of importance related to Higgs bundles, and it is the purpose of this volume to collect these lectures in a form accessible to graduate students and young researchers interested in learning more about this field.＜/p＞画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。

    • Computational Geometry, Topology and Physics of Digital Images with Applications Shape Complexes, Optical Vortex Nerves and Proximities【電子書籍】[ James F. Peters ]

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    価格 ￥20,662 
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  • ＜p＞This book discusses the computational geometry, topology and physics of digital images and video frame sequences. This trio of computational approaches encompasses the study of shape complexes, optical vortex nerves and proximities embedded in triangulated video frames and single images, while computational geometry focuses on the geometric structures that infuse triangulated visual scenes.＜/p＞ ＜p＞The book first addresses the topology of cellular complexes to provide a basis for an introductory study of the computational topology of visual scenes, exploring the fabric, shapes and structures typically found in visual scenes. The book then examines the inherent geometry and topology of visual scenes, and the fine structure of light and light caustics of visual scenes, which bring into play catastrophe theory and the appearance of light caustic folds and cusps. Following on from this, the book introduces optical vortex nerves in triangulated digital images. In this context, co...

    • Homology, Cohomology, and Sheaf Cohomology for Algebraic Topology, Algebraic Geometry, and Differential Geometry【電子書籍】[ Jean Gallier ]

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  • ＜p＞For more than thirty years the senior author has been trying to learn algebraic geometry. In the process he discovered that many of the classic textbooks in algebraic geometry require substantial knowledge of cohomology, homological algebra, and sheaf theory. In an attempt to demystify these abstract concepts and facilitate understanding for a new generation of mathematicians, he along with co-author wrote this book for an audience who is familiar with basic concepts of linear and abstract algebra, but who never has had any exposure to the algebraic geometry or homological algebra. As such this book consists of two parts. The first part gives a crash-course on the homological and cohomological aspects of algebraic topology, with a bias in favor of cohomology. The second part is devoted to presheaves, sheaves, Cech cohomology, derived functors, sheaf cohomology, and spectral sequences. All important concepts are intuitively motivated and the associated proofs of the quintessenti...

    • Topology and Geometry for Physicists TOPOLOGY & GEOMETRY FOR PHYSIC （Dover Books on Mathematics） [ Charles Nash ]

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  • TOPOLOGY & GEOMETRY FOR PHYSIC Dover Books on Mathematics Charles Nash Siddhartha Sen DOVER PUBN INC2011 Paperback English ISBN：9780486478524 洋書 Computers & Science（コンピューター＆科学） Mathematics

    • Topology and Geometry for Physicists【電子書籍】[ Charles Nash ]

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    価格 ￥1,997 
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  • ＜p＞Differential geometry and topology are essential tools for many theoretical physicists, particularly in the study of condensed matter physics, gravity, and particle physics. Written by physicists for physics students, this text introduces geometrical and topological methods in theoretical physics and applied mathematics. It assumes no detailed background in topology or geometry, and it emphasizes physical motivations, enabling students to apply the techniques to their physics formulas and research.＜br /＞ "Thoroughly recommended" by ＜em＞The Physics Bulletin,＜/em＞ this volume's physics applications range from condensed matter physics and statistical mechanics to elementary particle theory. Its main mathematical topics include differential forms, homotopy, homology, cohomology, fiber bundles, connection and covariant derivatives, and Morse theory.＜/p＞画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こち...

    • Applications Of Contact Geometry And Topology In Physics【電子書籍】[ Arkady L Kholodenko ]

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  • ＜p＞Although contact geometry and topology is briefly discussed in V I Arnol'd's book “Mathematical Methods of Classical Mechanics ”(Springer-Verlag, 1989, 2nd edition), it still remains a domain of research in pure mathematics, e.g. see the recent monograph by H Geiges “An Introduction to Contact Topology” (Cambridge U Press, 2008). Some attempts to use contact geometry in physics were made in the monograph “Contact Geometry and Nonlinear Differential Equations” (Cambridge U Press, 2007). Unfortunately, even the excellent style of this monograph is not sufficient to attract the attention of the physics community to this type of problems. This book is the first serious attempt to change the existing status quo. In it we demonstrate that, in fact, all branches of theoretical physics can be rewritten in the language of contact geometry and topology: from mechanics, thermodynamics and electrodynamics to optics, gauge fields and gravity; from physics of liquid crystals to quantum mecha...

    • Extended Abstracts GEOMVAP 2019 Geometry, Topology, Algebra, and Applications; Women in Geometry and Topology【電子書籍】

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    価格 ￥14,585 
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  • ＜p＞This book comprises an overview of twelve months of intense activity of the research group Geometry, Topology, Algebra, and Applications (GEOMVAP) at the Universitat Polit?cnica de Catalunya (UPC). Namely, it contains extended abstracts of the group meeting in Cardona and of the international Workshop of Women in Geometry and Topology aligned with a series of workshops in the topic. As such, it includes a panoramic view of the main research interests of the group which focus on varieties and manifolds from the algebraic, topological and differential perspective with a view towards applications.＜/p＞ ＜p＞The GEOMVAP group has a long tradition working on various interfaces of algebra, geometry and topology. In the last decade, the group has become active contributor in interdisciplinary science and it is now focused on both a theoretical point of view and the transversal applications to several disciplines including Robotics, Machine Learning, Phylogenetics, Physics and Celesti...

    • Topology and Geometry for Physics【電子書籍】[ Helmut Eschrig ]

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    価格 ￥9,116 
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  • ＜p＞A concise but self-contained introduction of the central concepts of modern topology and differential geometry on a mathematical level is given specifically with applications in physics in mind. All basic concepts are systematically provided including sketches of the proofs of most statements. Smooth finite-dimensional manifolds, tensor and exterior calculus operating on them, homotopy, (co)homology theory including Morse theory of critical points, as well as the theory of fiber bundles and Riemannian geometry, are treated. Examples from physics comprise topological charges, the topology of periodic boundary conditions for solids, gauge fields, geometric phases in quantum physics and gravitation.＜/p＞画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。

    • Geometry, Dynamics And Topology Of Foliations: A First Course【電子書籍】[ Bruno Scardua ]

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    価格 ￥4,426 
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  • ＜p＞The Geometric Theory of Foliations is one of the fields in Mathematics that gathers several distinct domains: Topology, Dynamical Systems, Differential Topology and Geometry, among others. Its great development has allowed a better comprehension of several phenomena of mathematical and physical nature. Our book contains material dating from the origins of the theory of foliations, from the original works of C Ehresmann and G Reeb, up till modern developments.In a suitable choice of topics we are able to cover material in a coherent way bringing the reader to the heart of recent results in the field. A number of theorems, nowadays considered to be classical, like the Reeb Stability Theorem, Haefliger's Theorem, and Novikov Compact leaf Theorem, are proved in the text. The stability theorem of Thurston and the compact leaf theorem of Plante are also thoroughly proved. Nevertheless, these notes are introductory and cover only a minor part of the basic aspects of the rich theory of...

    • Handbook of Geometry and Topology of Singularities II【電子書籍】

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  • ＜p＞This is the second volume of the Handbook of the Geometry and Topology of Singularities, a series which aims to provide an accessible account of the state-of-the-art of the subject, its frontiers, and its interactions with other areas of research. This volume consists of ten chapters which provide an in-depth and reader-friendly survey of some of the foundational aspects of singularity theory and related topics.＜/p＞ ＜p＞Singularities are ubiquitous in mathematics and science in general. Singularity theory interacts energetically with the rest of mathematics, acting as a crucible where different types of mathematical problems interact, surprising connections are born and simple questions lead to ideas which resonate in other parts of the subject, and in other subjects. Authored by world experts, the various contributions deal with both classical material and modern developments, covering a wide range of topics which are linked to each other in fundamental ways.＜/p＞ ＜p＞The...
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