differential geometry and topology

Differential Topology and Geometry with Applications to Physics【電子書籍】 Eduardo Nahmad-AcharFrom Differential Geometry to Non-commutative Geometry and Topology【電子書籍】 Neculai S. TelemanDifferential Geometry and Mathematical Physics Part II. Fibre Bundles, Topology and Gauge Fields【電子書籍】 Gerd Rudolph【中古】【輸入品 未使用】From Differential Geometry to Non-commutative Geometry and TopologyA Brief Introduction to Topology and Differential Geometry in Condensed Matter Physics (Second Edition)【電子書籍】 Antonio Sergio Teixeira PiresHomology, Cohomology, and Sheaf Cohomology for Algebraic Topology, Algebraic Geometry, and Differential Geometry【電子書籍】 Jean Gallier
 

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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...
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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。
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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...
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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...
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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...
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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...
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