Basic Topology 1
DOWNLOAD
Download Basic Topology 1 PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Basic Topology 1 book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Basic Topology 1
DOWNLOAD
Author : Avishek Adhikari
language : en
Publisher: Springer Nature
Release Date : 2022-07-04
Basic Topology 1 written by Avishek Adhikari and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-07-04 with Mathematics categories.
This first of the three-volume book is targeted as a basic course in topology for undergraduate and graduate students of mathematics. It studies metric spaces and general topology. It starts with the concept of the metric which is an abstraction of distance in the Euclidean space. The special structure of a metric space induces a topology that leads to many applications of topology in modern analysis and modern algebra, as shown in this volume. This volume also studies topological properties such as compactness and connectedness. Considering the importance of compactness in mathematics, this study covers the Stone–Cech compactification and Alexandroff one-point compactification. This volume also includes the Urysohn lemma, Urysohn metrization theorem, Tietz extension theorem, and Gelfand–Kolmogoroff theorem. The content of this volume is spread into eight chapters of which the last chapter conveys the history of metric spaces and the history of the emergence of the concepts leading to the development of topology as a subject with their motivations with an emphasis on general topology. 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 theories and applications in a balanced unified way.
Basic Topology
DOWNLOAD
Author : M.A. Armstrong
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-09
Basic Topology written by M.A. Armstrong and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-09 with Mathematics categories.
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.
General Topology I
DOWNLOAD
Author : A.V. Arkhangel'skii
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
General Topology I written by A.V. Arkhangel'skii and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This is the first of the encyclopaedia volumes devoted to general topology. It has two parts. The first outlines the basic concepts and constructions of general topology, including several topics which have not previously been covered in English language texts. The second part presents a survey of dimension theory, from the very beginnings to the most important recent developments. The principal ideas and methods are treated in detail, and the main results are provided with sketches of proofs. The authors have suceeded admirably in the difficult task of writing a book which will not only be accessible to the general scientist and the undergraduate, but will also appeal to the professional mathematician. The authors' efforts to detail the relationship between more specialized topics and the central themes of topology give the book a broad scholarly appeal which far transcends narrow disciplinary lines.
General Topology 1
DOWNLOAD
Author : Nicolas Bourbaki
language : en
Publisher:
Release Date : 1966
General Topology 1 written by Nicolas Bourbaki and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Topology categories.
General Topology
DOWNLOAD
Author : N. Bourbaki
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01
General Topology written by N. Bourbaki and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-01 with Mathematics categories.
This is the softcover reprint of the 1971 English translation of the first four chapters of Bourbaki’s Topologie Generale. It gives all basics of the subject, starting from definitions. Important classes of topological spaces are studied, and uniform structures are introduced and applied to topological groups. In addition, real numbers are constructed and their properties established.
Handbook Of The History Of General Topology
DOWNLOAD
Author : C.E. Aull
language : en
Publisher: Springer Science & Business Media
Release Date : 1997-03-31
Handbook Of The History Of General Topology written by C.E. Aull and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-03-31 with Mathematics categories.
This book is the first one of a work in several volumes, treating the history of the development of topology. The work contains papers which can be classified into 4 main areas. Thus there are contributions dealing with the life and work of individual topologists, with specific schools of topology, with research in topology in various countries, and with the development of topology in different periods. The work is not restricted to topology in the strictest sense but also deals with applications and generalisations in a broad sense. Thus it also treats, e.g., categorical topology, interactions with functional analysis, convergence spaces, and uniform spaces. Written by specialists in the field, it contains a wealth of information which is not available anywhere else.
General Topology
DOWNLOAD
Author : Stephen Willard
language : en
Publisher: Courier Corporation
Release Date : 2004-01-01
General Topology written by Stephen Willard and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-01-01 with Mathematics categories.
Among the best available reference introductions to general topology, this volume is appropriate for advanced undergraduate and beginning graduate students. Includes historical notes and over 340 detailed exercises. 1970 edition. Includes 27 figures.
Basic Topology
DOWNLOAD
Author : Avishek Adhikari
language : en
Publisher:
Release Date : 2022
Basic Topology written by Avishek Adhikari and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022 with Education, Higher categories.
This book is open access and discusses the re-imagining of the higher education sector. It exposes problems that relate to the way that universities have become over-managed business enterprises which may not reflect societal, national, or global educational needs. From there, it proposes some solutions, including three innovative programs, that make universities more responsive to needs, as well as reduce their impact on the environment. The central idea of this book is developing the 'Distributed University, ' which distributes education to where it is needed, reducing local and global inequalities in access, and emphasizing local relevance in place of large centralized campuses, with a low impact on the environment. It emphasizes the distribution of trust in place of managerialism and collaboration in place of competition. By focusing on distributing education online, this book discusses how the higher education sector can be set up to adapt to the changes in the ways we work and learn today, and which will be required to adapt to and take advantage of the Fourth Industrial Revolution.
Basic Algebraic Topology And Its Applications
DOWNLOAD
Author : Mahima Ranjan Adhikari
language : en
Publisher: Springer
Release Date : 2016-09-16
Basic Algebraic Topology And Its Applications written by Mahima Ranjan Adhikari and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-16 with Mathematics categories.
This book provides an accessible introduction to algebraic topology, a field at the intersection of topology, geometry and algebra, together with its applications. Moreover, it covers several related topics that are in fact important in the overall scheme of algebraic topology. Comprising eighteen chapters and two appendices, the book integrates various concepts of algebraic topology, supported by examples, exercises, applications and historical notes. Primarily intended as a textbook, the book offers a valuable resource for undergraduate, postgraduate and advanced mathematics students alike. Focusing more on the geometric than on algebraic aspects of the subject, as well as its natural development, the book conveys the basic language of modern algebraic topology by exploring homotopy, homology and cohomology theories, and examines a variety of spaces: spheres, projective spaces, classical groups and their quotient spaces, function spaces, polyhedra, topological groups, Lie groups and cell complexes, etc. The book studies a variety of maps, which are continuous functions between spaces. It also reveals the importance of algebraic topology in contemporary mathematics, theoretical physics, computer science, chemistry, economics, and the biological and medical sciences, and encourages students to engage in further study.
Essential Topology
DOWNLOAD
Author : Martin D. Crossley
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-02-11
Essential Topology written by Martin D. Crossley and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-02-11 with Mathematics categories.
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.