Basic Topology 2 PDF Download
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| Author | : Avishek Adhikari |
| Publisher | : Springer Nature |
| Total Pages | : 385 |
| Release | : 2022-09-08 |
| Genre | : Mathematics |
| ISBN | : 981166577X |
Download Basic Topology 2 Book in PDF, ePub and Kindle
This second of the three-volume book is targeted as a basic course in topology for undergraduate and graduate students of mathematics. It focuses on many variants of topology and its applications in modern analysis, geometry, algebra, and the theory of numbers. Offering a proper background on topology, analysis, and algebra, this volume discusses the topological groups and topological vector spaces that provide many interesting geometrical objects which relate algebra with geometry and analysis. This volume follows a systematic and comprehensive elementary approach to the topology related to manifolds, emphasizing differential topology. It further communicates the history of the emergence of the concepts leading to the development of topological groups, manifolds, and also Lie groups as mathematical topics with their motivations. This book will promote the scope, power, and active learning of the subject while covering a wide range of theories and applications in a balanced unified way.
| Author | : M. A. Armstrong |
| Publisher | : |
| Total Pages | : 272 |
| Release | : 2014-01-15 |
| Genre | : |
| ISBN | : 9781475717945 |
Download Basic Topology Book in PDF, ePub and Kindle
| Author | : M.A. Armstrong |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 260 |
| Release | : 2013-04-09 |
| Genre | : Mathematics |
| ISBN | : 1475717938 |
Download Basic Topology Book in PDF, ePub and Kindle
In this broad introduction to topology, the author searches for topological invariants of spaces, together with techniques for their calculating. Students with knowledge of real analysis, elementary group theory, and linear algebra will quickly become familiar with a wide variety of techniques and applications involving point-set, geometric, and algebraic topology. Over 139 illustrations and more than 350 problems of various difficulties help students gain a thorough understanding of the subject.
| Author | : Avishek Adhikari |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 2022 |
| Genre | : Topology |
| ISBN | : 9788981166571 |
Download Basic Topology Book in PDF, ePub and Kindle
This second of the three-volume book is targeted as a basic course in topology for undergraduate and graduate students of mathematics. It focuses on many variants of topology and its applications in modern analysis, geometry, algebra, and the theory of numbers. Offering a proper background on topology, analysis, and algebra, this volume discusses the topological groups and topological vector spaces that provide many interesting geometrical objects which relate algebra with geometry and analysis. This volume follows a systematic and comprehensive elementary approach to the topology related to manifolds, emphasizing differential topology. It further communicates the history of the emergence of the concepts leading to the development of topological groups, manifolds, and also Lie groups as mathematical topics with their motivations. This book will promote the scope, power, and active learning of the subject while covering a wide range of theories and applications in a balanced unified way.
| Author | : Mahima Ranjan Adhikari |
| Publisher | : Springer Nature |
| Total Pages | : 488 |
| Release | : 2023-03-15 |
| Genre | : Mathematics |
| ISBN | : 9811665508 |
Download Basic Topology 3 Book in PDF, ePub and Kindle
This third of the three-volume book is targeted as a basic course in algebraic topology and topology for fiber bundles for undergraduate and graduate students of mathematics. It focuses on many variants of topology and its applications in modern analysis, geometry, and algebra. Topics covered in this volume include homotopy theory, homology and cohomology theories, homotopy theory of fiber bundles, Euler characteristic, and the Betti number. It also includes certain classic problems such as the Jordan curve theorem along with the discussions on higher homotopy groups and establishes links between homotopy and homology theories, axiomatic approach to homology and cohomology as inaugurated by Eilenberg and Steenrod. It includes more material than is comfortably covered by beginner students in a one-semester course. Students of advanced courses will also find the book useful. This book will promote the scope, power and active learning of the subject, all the while covering a wide range of theory and applications in a balanced unified way.
| Author | : K.P. Hart |
| Publisher | : Elsevier |
| Total Pages | : 537 |
| Release | : 2003-11-18 |
| Genre | : Mathematics |
| ISBN | : 0080530869 |
Download Encyclopedia of General Topology Book in PDF, ePub and Kindle
This book is designed for the reader who wants to get a general view of the terminology of General Topology with minimal time and effort. The reader, whom we assume to have only a rudimentary knowledge of set theory, algebra and analysis, will be able to find what they want if they will properly use the index. However, this book contains very few proofs and the reader who wants to study more systematically will find sufficiently many references in the book. Key features: • More terms from General Topology than any other book ever published• Short and informative articles• Authors include the majority of top researchers in the field• Extensive indexing of terms
| Author | : Marco Manetti |
| Publisher | : Springer |
| Total Pages | : 315 |
| Release | : 2015-06-19 |
| Genre | : Mathematics |
| ISBN | : 3319169580 |
Download Topology Book in PDF, ePub and Kindle
This is an introductory textbook on general and algebraic topology, aimed at anyone with a basic knowledge of calculus and linear algebra. It provides full proofs and includes many examples and exercises. The covered topics include: set theory and cardinal arithmetic; axiom of choice and Zorn's lemma; topological spaces and continuous functions; connectedness and compactness; Alexandrov compactification; quotient topologies; countability and separation axioms; prebasis and Alexander's theorem; the Tychonoff theorem and paracompactness; complete metric spaces and function spaces; Baire spaces; homotopy of maps; the fundamental group; the van Kampen theorem; covering spaces; Brouwer and Borsuk's theorems; free groups and free product of groups; and basic category theory. While it is very concrete at the beginning, abstract concepts are gradually introduced. It is suitable for anyone needing a basic, comprehensive introduction to general and algebraic topology and its applications.
| Author | : Martin D. Crossley |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 244 |
| Release | : 2011-02-11 |
| Genre | : Mathematics |
| ISBN | : 9781852337827 |
Download Essential Topology Book in PDF, ePub and Kindle
This book brings the most important aspects of modern topology within reach of a second-year undergraduate student. It successfully unites the most exciting aspects of modern topology with those that are most useful for research, leaving readers prepared and motivated for further study. Written from a thoroughly modern perspective, every topic is introduced with an explanation of why it is being studied, and a huge number of examples provide further motivation. The book is ideal for self-study and assumes only a familiarity with the notion of continuity and basic algebra.
| Author | : Tai-Danae Bradley |
| Publisher | : MIT Press |
| Total Pages | : 167 |
| Release | : 2020-08-18 |
| Genre | : Mathematics |
| ISBN | : 0262359626 |
Download Topology Book in PDF, ePub and Kindle
A graduate-level textbook that presents basic topology from the perspective of category theory. This graduate-level textbook on topology takes a unique approach: it reintroduces basic, point-set topology from a more modern, categorical perspective. Many graduate students are familiar with the ideas of point-set topology and they are ready to learn something new about them. Teaching the subject using category theory--a contemporary branch of mathematics that provides a way to represent abstract concepts--both deepens students' understanding of elementary topology and lays a solid foundation for future work in advanced topics.
| Author | : William S. Massey |
| Publisher | : Springer |
| Total Pages | : 448 |
| Release | : 2019-06-28 |
| Genre | : Mathematics |
| ISBN | : 1493990632 |
Download A Basic Course in Algebraic Topology Book in PDF, ePub and Kindle
This textbook is intended for a course in algebraic topology at the beginning graduate level. The main topics covered are the classification of compact 2-manifolds, the fundamental group, covering spaces, singular homology theory, and singular cohomology theory. These topics are developed systematically, avoiding all unnecessary definitions, terminology, and technical machinery. The text consists of material from the first five chapters of the author's earlier book, Algebraic Topology; an Introduction (GTM 56) together with almost all of his book, Singular Homology Theory (GTM 70). The material from the two earlier books has been substantially revised, corrected, and brought up to date.
