differential topology

differential topologyの商品一覧です。「From Differential Geometry to Non-commutative Geometry and Topology【電子書籍】[ Neculai S. Teleman ]」(￥17,016)や「Differential Topology An Introduction【電子書籍】[ David B. Gauld ]」(￥2,130)、「Homology, Cohomology, and Sheaf Cohomology for Algebraic Topology, Algebraic Geometry, and Differential Geometry【電子書籍】[ Jean Gallier ]」(￥6,697)など

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differential topology

From Differential Geometry to Non-commutative Geometry and Topology【電子書籍】 Neculai S. Teleman

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

Algebraic and Differential Topology【電子書籍】 R.V. Gamkrelidze

Synthetic Differential Topology【電子書籍】 Marta Bunge

（出版社）Cambridge U.P. Differential Topology 1冊 978-1-107-15352-3

Differential Topology【電子書籍】 C. T. C. Wall

Differential Forms in Algebraic Topology【電子書籍】 Raoul Bott

Differential Topology and Geometry with Applications to Physics【電子書籍】 Eduardo Nahmad-Achar

A Brief Introduction to Topology and Differential Geometry in Condensed Matter Physics (Second Edition)【電子書籍】 Antonio Sergio Teixeira Pires

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

A Short Course in Differential Topology【電子書籍】 Bj rn Ian Dundas

【中古】【輸入品未使用】From Differential Geometry to Non-commutative Geometry and Topology

Differential Topology First Steps【電子書籍】 Andrew H. Wallace

From Differential Geometry to Non-commutative Geometry and Topology【電子書籍】[ Neculai S. Teleman ]

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価格￥17,016

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＜p＞This book aims to provide a friendly introduction to non-commutative geometry. It studies index theory from a classical differential geometry perspective up to the point where classical differential geometry methods become insufficient. It then presents non-commutative geometry as a natural continuation of classical differential geometry. It thereby aims to provide a natural link between classical differential geometry and non-commutative geometry. The book shows that the index formula is a topological statement, and ends with non-commutative topology.＜/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。

Differential Topology An Introduction【電子書籍】[ David B. Gauld ]

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価格￥2,130

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＜p＞Offering classroom-proven results, ＜em＞Differential Topology＜/em＞ presents an introduction to point set topology via a naive version of nearness space. Its treatment encompasses a general study of surgery, laying a solid foundation for further study and greatly simplifying the classification of surfaces.＜br /＞ This self-contained treatment features 88 helpful illustrations. Its subjects include topological spaces and properties, some advanced calculus, differentiable manifolds, orientability, submanifolds and an embedding theorem, and tangent spaces. Additional topics comprise vector fields and integral curves, surgery, classification of orientable surfaces, and Whitney's embedding theorem. Suitable for advanced undergraduate courses in introductory or differential topology, this volume also serves as a supplementary text in advanced calculus and physics courses, as well as a key source of information for students of mechanics.＜/p＞画面が切り替わりますので、しばらくお待...

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

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価格￥6,697

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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...

Algebraic and Differential Topology【電子書籍】[ R.V. Gamkrelidze ]

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価格￥8,604

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＜p＞Algebraic and Differential Topology presents in a clear, concise, and detailed manner the fundamentals of homology theory. It first defines the concept of a complex and its Betti groups, then discusses the topolgoical invariance of a Betti group. The book next presents various applications of homology theory, such as mapping of polyhedrons onto other polyhedrons as well as onto themselves. The third volume in L.S. Pontryagin's Selected Works, this book provides as many insights into algebraic topology for today's mathematician as it did when the author was making his initial endeavors into 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。

Synthetic Differential Topology【電子書籍】[ Marta Bunge ]

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価格￥8,973

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＜p＞This book formally introduces synthetic differential topology, a natural extension of the theory of synthetic differential geometry which captures classical concepts of differential geometry and topology by means of the rich categorical structure of a necessarily non-Boolean topos and of the systematic use of logical infinitesimal objects in it. Beginning with an introduction to those parts of topos theory and synthetic differential geometry necessary for the remainder, this clear and comprehensive text covers the general theory of synthetic differential topology and several applications of it to classical mathematics, including the calculus of variations, Mather's theorem, and Morse theory on the classification of singularities. The book represents the state of the art in synthetic differential topology and will be of interest to researchers in topos theory and to mathematicians interested in the categorical foundations of differential geometry and topology.＜/p＞画面が切り替...

（出版社）Cambridge U.P. Differential Topology 1冊 978-1-107-15352-3

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価格￥15,763

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（出版社）Cambridge　U.P. Differential Topology 1冊●著者：Wall, C. T. C.●シリーズ名：Cambridge Studies in Advanced Mathematics●Vol.156●頁数他：353 p.●装丁：Hard●出版社：Cambridge U.P.●発行日：2016/7/4

Differential Topology【電子書籍】[ C. T. C. Wall ]

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価格￥9,506

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＜p＞Exploring the full scope of differential topology, this comprehensive account of geometric techniques for studying the topology of smooth manifolds offers a wide perspective on the field. Building up from first principles, concepts of manifolds are introduced, supplemented by thorough appendices giving background on topology and homotopy theory. Deep results are then developed from these foundations through in-depth treatments of the notions of general position and transversality, proper actions of Lie groups, handles (up to the h-cobordism theorem), immersions and embeddings, concluding with the surgery procedure and cobordism theory. Fully illustrated and rigorous in its approach, little prior knowledge is assumed, and yet growing complexity is instilled throughout. This structure gives advanced students and researchers an accessible route into the wide-ranging field of differential topology.＜/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...

Differential Forms in Algebraic Topology【電子書籍】[ Raoul Bott ]

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価格￥7,292

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＜p＞The guiding principle in this book is to use differential forms as an aid in exploring some of the less digestible aspects of algebraic topology. Accord ingly, we move primarily in the realm of smooth manifolds and use the de Rham theory as a prototype of all of cohomology. For applications to homotopy theory we also discuss by way of analogy cohomology with arbitrary coefficients. Although we have in mind an audience with prior exposure to algebraic or differential topology, for the most part a good knowledge of linear algebra, advanced calculus, and point-set topology should suffice. Some acquaintance with manifolds, simplicial complexes, singular homology and cohomology, and homotopy groups is helpful, but not really necessary. Within the text itself we have stated with care the more advanced results that are needed, so that a mathematically mature reader who accepts these background materials on faith should be able to read the entire book with the minimal prerequisites. Th...

Differential Topology and Geometry with Applications to Physics【電子書籍】[ Eduardo Nahmad-Achar ]

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価格￥16,024

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＜p＞Differential geometry has encountered numerous applications in physics. More and more physical concepts considered as fundamental can be understood as a direct consequence of geometric principles. The mathematical structure of Maxwell's electrodynamics, general theory of relativity, string theory and gauge theories, to name but a few, are of a geometric nature. All of these disciplines require a curved space for the description of a system, and we require a mathematical formalism that can handle the dynamics in such spaces if we wish to go beyond a simple and superficial discussion of physical relationships. This formalism is differential geometry. Even areas like thermodynamics and fluid mechanics greatly benefit from a differential geometric treatment. Not only in physics, but in important branches of mathematics, has differential geometry effected important changes. Aimed at graduate students, and requiring only linear algebra and differential and integral calculus, this boo...

A Brief Introduction to Topology and Differential Geometry in Condensed Matter Physics (Second Edition)【電子書籍】[ Antonio Sergio Teixeira Pires ]

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価格￥16,985

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＜p＞Concepts drawn from topology and differential geometry have become essential to the understanding of several phenomena in condensed matter physics. This book provides a self-consistent introduction to the mathematical ideas and methods from these fields that will enable the student of condensed matter physics to begin applying these concepts with confidence. This expanded second edition adds eight new chapters, including one on the classification of topological states of topological insulators and superconductors and another on Weyl semimetals, as well as elaborated discussions of the Aharonov-Casher effect, topological magnon insulators, topological superconductors and K-theory.＜/p＞＜p＞＜strong＞Key Features:＜/strong＞＜/p＞＜ul＞＜li＞＜p＞Provides an introduction to path integral formalism＜/p＞＜/li＞＜li＞＜p＞Introduces all the basic concepts in differential geometry and topology＜/p＞＜/li＞＜li＞＜p＞Presents the quantum Hall effect using topology concepts...

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...

A Short Course in Differential Topology【電子書籍】[ Bj?rn Ian Dundas ]

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価格￥6,515

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＜p＞Manifolds are abound in mathematics and physics, and increasingly in cybernetics and visualization where they often reflect properties of complex systems and their configurations. Differential topology gives us the tools to study these spaces and extract information about the underlying systems. This book offers a concise and modern introduction to the core topics of differential topology for advanced undergraduates and beginning graduate students. It covers the basics on smooth manifolds and their tangent spaces before moving on to regular values and transversality, smooth flows and differential equations on manifolds, and the theory of vector bundles and locally trivial fibrations. The final chapter gives examples of local-to-global properties, a short introduction to Morse theory and a proof of Ehresmann's fibration theorem. The treatment is hands-on, including many concrete examples and exercises woven into the text, with hints provided to guide the student.＜/p＞画面が切り...

【中古】【輸入品・未使用】From Differential Geometry to Non-commutative Geometry and Topology

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価格￥46,187

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【中古】【輸入品・未使用】From Differential Geometry to Non-commutative Geometry and Topology【メーカー名】Springer【メーカー型番】【ブランド名】Springer【商品説明】From Differential Geometry to Non-commutative Geometry and Topology当店では初期不良に限り、商品到着から7日間は返品を受付けております。こちらは海外販売用に買取り致しました未使用品です。買取り致しました為、中古扱いとしております。他モールとの併売品の為、完売の際はご連絡致しますのでご了承下さい。速やかにご返金させて頂きます。ご注文からお届けまで1、ご注文⇒ご注文は24時間受け付けております。2、注文確認⇒ご注文後、当店から注文確認メールを送信します。3、配送⇒当店海外倉庫から取り寄せの場合は10〜30日程度でのお届けとなります。国内到着後、発送の際に通知にてご連絡致します。国内倉庫からの場合は3〜7日でのお届けとなります。　※離島、北海道、九州、沖縄は遅れる場合がございます。予めご了承下さい。お電話でのお問合せは少人数で運営の為受け付けておりませんので、メールにてお問合せお願い致します。営業時間　月〜金　10:00〜17:00お客様都合によるご注...

Differential Topology First Steps【電子書籍】[ Andrew H. Wallace ]

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価格￥1,329

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＜p＞Keeping mathematical prerequisites to a minimum, this undergraduate-level text stimulates students' intuitive understanding of topology while avoiding the more difficult subtleties and technicalities. Its focus is the method of spherical modifications and the study of critical points of functions on manifolds.＜br /＞ No previous knowledge of topology is necessary for this text, which offers introductory material regarding open and closed sets and continuous maps in the first chapter. Succeeding chapters discuss the notions of differentiable manifolds and maps and explore one of the central topics of differential topology, the theory of critical points of functions on a differentiable manifold. Additional topics include an investigation of level manifolds corresponding to a given function and the concept of spherical modifications. The text concludes with applications of previously discussed material to the classification problem of surfaces and guidance, along with suggestions...

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