introduction to topology

Knots and Primes An Introduction to Arithmetic Topology【電子書籍】 Masanori MorishitaIntroduction to Topology【電子書籍】 Tej Bahadur SinghIntroduction to Algebraic Topology【電子書籍】 Holger Kammeyer【中古】【未使用 未開封品】Introduction to Topology and Modern AnalysisIntroduction to Topology: Third Edition (Dover Books on Mathematics) ペーパーバック Mendelson, BertA Brief Introduction to Topology and Differential Geometry in Condensed Matter Physics (Second Edition)【電子書籍】 Antonio Sergio Teixeira PiresIntroduction to Topology【電子書籍】 Simone MalacridaAn Illustrated Introduction to Topology and Homotopy Solutions Manual for Part 1 Topology【電子書籍】 Sasho KalajdzievskiA First Course in Topology An Introduction to Mathematical Thinking【電子書籍】 Robert A ConoverIntroduction to Geometry and Topology【電子書籍】 Werner BallmannTopology: A Very Short Introduction【電子書籍】 Richard EarlIntroduction to Topology: Third Edition INTRO TO TOPOLOGY 3/E (Dover Books on Mathematics) Bert Mendelson【中古】【輸入品 未使用】Introduction to Topology and Modern AnalysisIntroduction to Topology and Geometry【電子書籍】 Saul StahlOrdered Sets An Introduction with Connections from Combinatorics to Topology【電子書籍】 Bernd Schr derAn Introduction to Algebraic Topology【電子書籍】 Andrew H. WallaceIntroduction to Topology Second Edition【電子書籍】 Theodore W. GamelinMathematical Methods for Physics An Introduction to Group Theory, Topology and Geometry【電子書籍】 Esko Keski-VakkuriSound Topology, Duality, Coherence and Wave-Mixing An Introduction to the Emerging New Science of Sound【電子書籍】 Pierre DeymierIntroduction to Topology Third Edition【電子書籍】 Bert Mendelson
 

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  • <p>This is a foundation for arithmetic topology - a new branch of mathematics which is focused upon the analogy between knot theory and number theory. Starting with an informative introduction to its origins, namely Gauss, this text provides a background on knots, three manifolds and number fields. Common aspects of both knot theory and number theory, for instance knots in three manifolds versus primes in a number field, are compared throughout the book. These comparisons begin at an elementary level, slowly building up to advanced theories in later chapters. Definitions are carefully formulated and proofs are largely self-contained. When necessary, background information is provided and theory is accompanied with a number of useful examples and illustrations, making this a useful text for both undergraduates and graduates in the field of knot theory, number theory and geometry.</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。※...
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  • <p>Topology is a large subject with several branches, broadly categorized as algebraic topology, point-set topology, and geometric topology. Point-set topology is the main language for a broad range of mathematical disciplines, while algebraic topology offers as a powerful tool for studying problems in geometry and numerous other areas of mathematics. This book presents the basic concepts of topology, including virtually all of the traditional topics in point-set topology, as well as elementary topics in algebraic topology such as fundamental groups and covering spaces. It also discusses topological groups and transformation groups. When combined with a working knowledge of analysis and algebra, this book offers a valuable resource for advanced undergraduate and beginning graduate students of mathematics specializing in algebraic topology and harmonic analysis.</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...
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  • <p>This textbook provides a succinct introduction to algebraic topology. It follows a modern categorical approach from the beginning and gives ample motivation throughout so that students will find this an ideal first encounter to the field. Topics are treated in a self-contained manner, making this a convenient resource for instructors searching for a comprehensive overview of the area.</p> <p>It begins with an outline of category theory, establishing the concepts of functors, natural transformations, adjunction, limits, and colimits. As a first application, van Kampen's theorem is proven in the groupoid version. Following this, an excursion to cofibrations and homotopy pushouts yields an alternative formulation of the theorem that puts the computation of fundamental groups of attaching spaces on firm ground. Simplicial homology is then defined, motivating the Eilenberg-Steenrod axioms, and the simplicial approximation theorem is proven. After verifying the axiomsfor singular...
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  • 【中古】【未使用・未開封品】Introduction to Topology and Modern Analysis【メーカー名】【メーカー型番】【ブランド名】【商品説明】Introduction to Topology and Modern Analysis【注意】こちらは輸入品となります。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。こちらは当店海外ショップで一般の方から買取した未使用・未開封品です。買取した為、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ください。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、当店海外倉庫から当店日本倉庫を経由しお届けしますので10〜30営業日程度でのお届けとなります。4、入金確認⇒前払い決済をご選択の場合、ご入金確認後、配送手配を致します。5、出荷⇒配送準備が整い次第、出荷致します。配送業者、追跡番号等の詳細をメール送信致します。6、到着⇒出荷後、1〜3日後に商品が到着します。 ※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...
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  • 【30日間返品保証】商品説明に誤りがある場合は、無条件で弊社送料負担で商品到着後30日間返品を承ります。ご満足のいく取引となるよう精一杯対応させていただきます。※下記に商品説明およびコンディション詳細、出荷予定・配送方法・お届けまでの期間について記載しています。ご確認の上ご購入ください。【インボイス制度対応済み】当社ではインボイス制度に対応した適格請求書発行事業者番号(通称:T番号・登録番号)を印字した納品書(明細書)を商品に同梱してお送りしております。こちらをご利用いただくことで、税務申告時や確定申告時に消費税額控除を受けることが可能になります。また、適格請求書発行事業者番号の入った領収書・請求書をご注文履歴からダウンロードして頂くこともできます(宛名はご希望のものを入力して頂けます)。■商品名■Introduction to Topology: Third Edition (Dover Books on Mathematics) [ペーパーバック] Mendelson, Bert■出版社■Dover Publications■著者■Mendelson Bert■発行年■1990/07/01■ISBN10■0486663523■ISBN13■9780486663524■コンディションランク■可コンディションランク説明ほぼ新品:未使用に近い状態の商品非常に良い:...
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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>The following topics are presented in this book:<br /> introduction to topology<br /> topological structures such as spaces, groups and varieties<br /> topological properties<br /> topological successions</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>This solution manual accompanies the first part of the book An Illustrated Introduction toTopology and Homotopy by the same author. Except for a small number of exercises inthe first few sections, we provide solutions of the (228) odd-numbered problemsappearing in first part of the book (Topology). The primary targets of this manual are thestudents of topology. This set is not disjoint from the set of instructors of topologycourses, who may also find this manual useful as a source of examples, exam problems,etc.</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>Students must prove all of the theorems in this undergraduate-level text, which features extensive outlines to assist in study and comprehension. Thorough and well-written, the treatment provides sufficient material for a one-year undergraduate course. The logical presentation anticipates students' questions, and complete definitions and expositions of topics relate new concepts to previously discussed subjects.<br /> Most of the material focuses on point-set topology with the exception of the last chapter. Topics include sets and functions, infinite sets and transfinite numbers, topological spaces and basic concepts, product spaces, connectivity, and compactness. Additional subjects include separation axioms, complete spaces, and homotopy and the fundamental group. Numerous hints and figures illuminate the text.</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...
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  • <p>This book provides an introduction to topology, differential topology, and differential geometry. It is based on manuscripts refined through use in a variety of lecture courses. The first chapter covers elementary results and concepts from point-set topology. An exception is the Jordan Curve Theorem, which is proved for polygonal paths and is intended to give students a first glimpse into the nature of deeper topological problems.</p> <p>The second chapter of the book introduces manifolds and Lie groups, and examines a wide assortment of examples. Further discussion explores tangent bundles, vector bundles, differentials, vector fields, and Lie brackets of vector fields. This discussion is deepened and expanded in the third chapter, which introduces the de Rham cohomology and the oriented integral and gives proofs of the Brouwer Fixed-Point Theorem, the Jordan-Brouwer Separation Theorem, and Stokes's integral formula.</p> <p>The fourth and final chapter is devoted to th...
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  • <p>How is a subway map different from other maps? What makes a knot knotted? What makes the M?bius strip one-sided? These are questions of topology, the mathematical study of properties preserved by twisting or stretching objects. In the 20th century topology became as broad and fundamental as algebra and geometry, with important implications for science, especially physics. In this Very Short Introduction Richard Earl gives a sense of the more visual elements of topology (looking at surfaces) as well as covering the formal definition of continuity. Considering some of the eye-opening examples that led mathematicians to recognize a need for studying topology, he pays homage to the historical people, problems, and surprises that have propelled the growth of this field. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject ...
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  • INTRO TO TOPOLOGY 3/E Dover Books on Mathematics Bert Mendelson DOVER PUBN INC1990 Paperback English ISBN:9780486663524 洋書 Computers & Science(コンピューター&科学) Mathematics
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  • 【中古】【輸入品・未使用】Introduction to Topology and Modern Analysis【メーカー名】Krieger Pub Co【メーカー型番】【ブランド名】【商品説明】Introduction to Topology and Modern Analysis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文後のキャンセル・返品はお受けしておりませんので...
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  • <p><strong>An easily accessible introduction to over three</strong> <strong>centuries of innovations in geometry</strong></p> <p>Praise for the First Edition</p> <p>“. . . a welcome alternative to compartmentalized treatments bound to the old thinking. This clearly written, well-illustrated book supplies sufficient background to be self-contained.” ーCHOICE</p> <p>This fully revised new edition offers the most comprehensive coverage of modern geometry currently available at an introductory level. The book strikes a welcome balance between academic rigor and accessibility, providing a complete and cohesive picture of the science with an unparalleled range of topics.</p> <p>Illustrating modern mathematical topics, <em>Introduction to Topology and Geometry, Second Edition</em> discusses introductory topology, algebraic topology, knot theory, the geometry of surfaces, Riemann geometries, fundamental groups, and differential geometry, which opens the doors t...
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  • <p>This work is an introduction to the basic tools of the theory of (partially) ordered sets such as visualization via diagrams, subsets, homomorphisms, important order-theoretical constructions, and classes of ordered sets. Using a thematic approach, the author presents open or recently solved problems to motivate the development of constructions and investigations for new classes of ordered sets.</p> <p>A wide range of material is presented, from classical results such as Dilworth's, Szpilrajn's and Hashimoto's Theorems to more recent results such as the Li--Milner Structure Theorem. Major topics covered include: chains and antichains, lowest upper and greatest lower bounds, retractions, lattices, the dimension of ordered sets, interval orders, lexicographic sums, products, enumeration, algorithmic approaches and the role of algebraic topology.</p> <p>Since there are few prerequisites, the text can be used as a focused follow-up or companion to a first proof (set theory ...
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  • <p>This self-contained treatment of algebraic topology assumes only some knowledge of real numbers and real analysis. The first three chapters focus on the basics of point-set topology, offering background to students approaching the subject with no previous knowledge. Readers already familiar with point-set topology can proceed directly to Chapter 4, which examines the fundamental group as well as homology groups and continuous mapping, barycentric subdivision and excision, the homology sequence, and simplicial complexes.<br /> Exercises form an integral part of the text; they include theorems that are as valuable as some of those whose proofs are given in full. Author Andrew H. Wallace, Professor Emeritus at the University of Pennsylvania, concludes the text with a guide to further reading.</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>One of the most important milestones in mathematics in the twentieth century was the development of topology as an independent field of study and the subsequent systematic application of topological ideas to other fields of mathematics.<br /> While there are many other works on introductory topology, this volume employs a methodology somewhat different from other texts. Metric space and point-set topology material is treated in the first two chapters; algebraic topological material in the remaining two. The authors lead readers through a number of nontrivial applications of metric space topology to analysis, clearly establishing the relevance of topology to analysis. Second, the treatment of topics from elementary algebraic topology concentrates on results with concrete geometric meaning and presents relatively little algebraic formalism; at the same time, this treatment provides proof of some highly nontrivial results. By presenting homotopy theory without considering homolo...
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  • <p>This detailed yet accessible text provides an essential introduction to the advanced mathematical methods at the core of theoretical physics. The book steadily develops the key concepts required for an understanding of symmetry principles and topological structures, such as group theory, differentiable manifolds, Riemannian geometry, and Lie algebras. Based on a course for senior undergraduate students of physics, it is written in a clear, pedagogical style and would also be valuable to students in other areas of science and engineering. The material has been subject to more than twenty years of feedback from students, ensuring that explanations and examples are lucid and considered, and numerous worked examples and exercises reinforce key concepts and further strengthen readers' understanding. This text unites a wide variety of important topics that are often scattered across different books, and provides a solid platform for more specialized study or research.</p>画面が切り...
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  • <p>This book offers an essential introduction to the notions of sound wave topology, duality, coherence and wave-mixing, which constitute the emerging new science of sound. It includes general principles and specific examples that illuminate new non-conventional forms of sound (sound topology), unconventional quantum-like behavior of phonons (duality), radical linear and nonlinear phenomena associated with loss and its control (coherence), and exquisite effects that emerge from the interaction of sound with other physical and biological waves (wave mixing).</p> <p>The book provides the reader with the foundations needed to master these complex notions through simple yet meaningful examples. General principles for unraveling and describing the topology of acoustic wave functions in the space of their Eigen values are presented. These principles are then applied to uncover intrinsic and extrinsic approaches to achieving non-conventional topologies by breaking the time reversal s...
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  • <p>Highly regarded for its exceptional clarity, imaginative and instructive exercises, and fine writing style, this concise book offers an ideal introduction to the fundamentals of topology. Originally conceived as a text for a one-semester course, it is directed to undergraduate students whose studies of calculus sequence have included definitions and proofs of theorems. The book's principal aim is to provide a simple, thorough survey of elementary topics in the study of collections of objects, or sets, that possess a mathematical structure.</p> <p>The author begins with an informal discussion of set theory in Chapter 1, reserving coverage of countability for Chapter 5, where it appears in the context of compactness. In the second chapter Professor Mendelson discusses metric spaces, paying particular attention to various distance functions which may be defined on Euclidean <em>n</em>-space and which lead to the ordinary topology.</p> <p>Chapter 3 takes up the concept ...
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