Topology Now PDF Download
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Author | : Robert Messer |
Publisher | : American Mathematical Soc. |
Total Pages | : 240 |
Release | : 2018-10-10 |
Genre | : |
ISBN | : 1470447819 |
Download Topology Now! Book in PDF, ePub and Kindle
Topology is a branch of mathematics packed with intriguing concepts, fascinating geometrical objects, and ingenious methods for studying them. The authors have written this textbook to make the material accessible to undergraduate students without requiring extensive prerequisites in upper-level mathematics. The approach is to cultivate the intuitive ideas of continuity, convergence, and connectedness so students can quickly delve into knot theory, the topology of surfaces and three-dimensional manifolds, fixed points and elementary homotopy theory. The fundamental concepts of point-set topology appear at the end of the book when students can see how this level of abstraction provides a sound logical basis for the geometrical ideas that have come before. This organization exposes students to the exciting world of topology now(!) rather than later. Students using this textbook should have some exposure to the geometry of objects in higher-dimensional Euclidean spaces together with an appreciation of precise mathematical definitions and proofs.
Author | : Stephen Barr |
Publisher | : Courier Corporation |
Total Pages | : 244 |
Release | : 2012-12-04 |
Genre | : Mathematics |
ISBN | : 048615274X |
Download Experiments in Topology Book in PDF, ePub and Kindle
Classic, lively explanation of one of the byways of mathematics. Klein bottles, Moebius strips, projective planes, map coloring, problem of the Koenigsberg bridges, much more, described with clarity and wit.
Author | : Paul Alexandroff |
Publisher | : Courier Corporation |
Total Pages | : 68 |
Release | : 2012-08-13 |
Genre | : Mathematics |
ISBN | : 0486155064 |
Download Elementary Concepts of Topology Book in PDF, ePub and Kindle
Concise work presents topological concepts in clear, elementary fashion, from basics of set-theoretic topology, through topological theorems and questions based on concept of the algebraic complex, to the concept of Betti groups. Includes 25 figures.
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 | : Michael Henle |
Publisher | : Courier Corporation |
Total Pages | : 340 |
Release | : 1994-01-01 |
Genre | : Mathematics |
ISBN | : 9780486679662 |
Download A Combinatorial Introduction to Topology Book in PDF, ePub and Kindle
Excellent text covers vector fields, plane homology and the Jordan Curve Theorem, surfaces, homology of complexes, more. Problems and exercises. Some knowledge of differential equations and multivariate calculus required.Bibliography. 1979 edition.
Author | : Tom Richmond |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 397 |
Release | : 2020-07-06 |
Genre | : Mathematics |
ISBN | : 3110686724 |
Download General Topology Book in PDF, ePub and Kindle
The first half of the book provides an introduction to general topology, with ample space given to exercises and carefully selected applications. The second half of the text includes topics in asymmetric topology, a field motivated by applications in computer science. Recurring themes include the interactions of topology with order theory and mathematics designed to model loss-of-resolution situations.
Author | : Michio Kaku |
Publisher | : Springer Science & Business Media |
Total Pages | : 544 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 1468403974 |
Download Strings, Conformal Fields, and Topology Book in PDF, ePub and Kindle
Following on the foundations laid in his earlier book "Introduction to Superstrings", Professor Kaku discusses such topics as the classification of conformal string theories, the non-polynomial closed string field theory, matrix models, and topological field theory. The presentation of the material is self-contained, and several chapters review material expounded in the earlier book. This book provides students with an understanding of the main areas of current progress in string theory, placing the reader at the forefront of current research.
Author | : Afif Ben Amar |
Publisher | : Springer Nature |
Total Pages | : 258 |
Release | : 2022-01-25 |
Genre | : Mathematics |
ISBN | : 3030922049 |
Download Topology and Approximate Fixed Points Book in PDF, ePub and Kindle
This book examines in detail approximate fixed point theory in different classes of topological spaces for general classes of maps. It offers a comprehensive treatment of the subject that is up-to-date, self-contained, and rich in methods, for a wide variety of topologies and maps. Content includes known and recent results in topology (with proofs), as well as recent results in approximate fixed point theory. This work starts with a set of basic notions in topological spaces. Special attention is given to topological vector spaces, locally convex spaces, Banach spaces, and ultrametric spaces. Sequences and function spaces—and fundamental properties of their topologies—are also covered. The reader will find discussions on fundamental principles, namely the Hahn-Banach theorem on extensions of linear (bounded) functionals; the Banach open mapping theorem; the Banach-Steinhaus uniform boundedness principle; and Baire categories, including some applications. Also included are weak topologies and their properties, in particular the theorems of Eberlein-Smulian, Goldstine, Kakutani, James and Grothendieck, reflexive Banach spaces, l_{1}- sequences, Rosenthal's theorem, sequential properties of the weak topology in a Banach space and weak* topology of its dual, and the Fréchet-Urysohn property. The subsequent chapters cover various almost fixed point results, discussing how to reach or approximate the unique fixed point of a strictly contractive mapping of a spherically complete ultrametric space. They also introduce synthetic approaches to fixed point problems involving regular-global-inf functions. The book finishes with a study of problems involving approximate fixed point property on an ambient space with different topologies. By providing appropriate background and up-to-date research results, this book can greatly benefit graduate students and mathematicians seeking to advance in topology and fixed point theory.
Author | : Satya Deo |
Publisher | : Springer |
Total Pages | : 332 |
Release | : 2003-12-01 |
Genre | : Mathematics |
ISBN | : 9386279134 |
Download Algebraic Topology Book in PDF, ePub and Kindle
Author | : J. N. Sharma |
Publisher | : Krishna Prakashan Media |
Total Pages | : 474 |
Release | : 2014 |
Genre | : Algebraic topology |
ISBN | : |
Download Krishna's Topology: (For Honours and Post Graduate Students of All Indian Universities) Book in PDF, ePub and Kindle
This book provides exposition of the subject both in its general and algebraic aspects. It deals with the notions of topological spaces, compactness, connectedness, completeness including metrizability and compactification, algebraic aspects of topological spaces through homotopy groups and homology groups. It begins with the basic notions of topological spaces but soon going beyond them reaches the domain of algebra through the notions of homotopy, homology and cohomology. How these approaches work in harmony is the subject matter of this book.