Elements of Metric Spaces
Author | : Manabendra Nath Mukherjee |
Publisher | : Academic Publishers |
Total Pages | : 216 |
Release | : 2010 |
Genre | : Metric spaces |
ISBN | : 9788189781989 |
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Author | : Manabendra Nath Mukherjee |
Publisher | : Academic Publishers |
Total Pages | : 216 |
Release | : 2010 |
Genre | : Metric spaces |
ISBN | : 9788189781989 |
Author | : Mursaleen |
Publisher | : |
Total Pages | : 158 |
Release | : 2005-05-01 |
Genre | : Metric spaces |
ISBN | : 9788188342426 |
Author | : Satish Shirali |
Publisher | : Springer Science & Business Media |
Total Pages | : 238 |
Release | : 2006 |
Genre | : Mathematics |
ISBN | : 9781852339227 |
One of the first books to be dedicated specifically to metric spaces Full of worked examples, to get complex ideas across more easily
Author | : S.C. Sharma |
Publisher | : Discovery Publishing House |
Total Pages | : 316 |
Release | : 2006 |
Genre | : Metric spaces |
ISBN | : 9788183561181 |
This book Metric Space has been written for the students of various universities. In the earlier chapters, proof are given in considerable detail, as our subject unfolds through the successive chapters and the reader acquires experience in following abstract mathematical arguments, the proof become briefer and minor details are more and more left for the reader to fill in for himself. It is a basic principle in the study of mathematics, and one too seldom emphasised that a proof is not really understood until the stage is reached at which one can grasp it is a whole and see it as a single idea. In achieving this end much more is necessary than merely following the individual steps in the reasoning. Contents: Basic Concept of Set, Metric Space, Compactness.
Author | : Mícheál O'Searcoid |
Publisher | : Springer |
Total Pages | : 304 |
Release | : 2009-10-12 |
Genre | : Mathematics |
ISBN | : 9781848004948 |
The abstract concepts of metric spaces are often perceived as difficult. This book offers a unique approach to the subject which gives readers the advantage of a new perspective on ideas familiar from the analysis of a real line. Rather than passing quickly from the definition of a metric to the more abstract concepts of convergence and continuity, the author takes the concrete notion of distance as far as possible, illustrating the text with examples and naturally arising questions. Attention to detail at this stage is designed to prepare the reader to understand the more abstract ideas with relative ease.
Author | : Mícheál O'Searcoid |
Publisher | : Springer Science & Business Media |
Total Pages | : 318 |
Release | : 2006-12-26 |
Genre | : Mathematics |
ISBN | : 1846286271 |
The abstract concepts of metric spaces are often perceived as difficult. This book offers a unique approach to the subject which gives readers the advantage of a new perspective on ideas familiar from the analysis of a real line. Rather than passing quickly from the definition of a metric to the more abstract concepts of convergence and continuity, the author takes the concrete notion of distance as far as possible, illustrating the text with examples and naturally arising questions. Attention to detail at this stage is designed to prepare the reader to understand the more abstract ideas with relative ease.
Author | : S. Kumaresan |
Publisher | : Alpha Science Int'l Ltd. |
Total Pages | : 172 |
Release | : 2005 |
Genre | : Computers |
ISBN | : 9781842652503 |
"Topology of Metric Spaces gives a very streamlined development of a course in metric space topology emphasizing only the most useful concepts, concrete spaces and geometric ideas to encourage geometric thinking, to treat this as a preparatory ground for a general topology course, to use this course as a surrogate for real analysis and to help the students gain some perspective of modern analysis." "Eminently suitable for self-study, this book may also be used as a supplementary text for courses in general (or point-set) topology so that students will acquire a lot of concrete examples of spaces and maps."--BOOK JACKET.
Author | : Pawan K. Jain |
Publisher | : Alpha Science Int'l Ltd. |
Total Pages | : 178 |
Release | : 2004 |
Genre | : Mathematics |
ISBN | : 9781842651704 |
Encouraged by the response to the first edition the authors have thoroughly revised Metric Spaces by incorporating suggestions received from the readers.
Author | : Pavel Zezula |
Publisher | : Springer Science & Business Media |
Total Pages | : 227 |
Release | : 2006-06-07 |
Genre | : Computers |
ISBN | : 0387291512 |
The area of similarity searching is a very hot topic for both research and c- mercial applications. Current data processing applications use data with c- siderably less structure and much less precise queries than traditional database systems. Examples are multimedia data like images or videos that offer query by example search, product catalogs that provide users with preference based search, scientific data records from observations or experimental analyses such as biochemical and medical data, or XML documents that come from hetero- neous data sources on the Web or in intranets and thus does not exhibit a global schema. Such data can neither be ordered in a canonical manner nor meani- fully searched by precise database queries that would return exact matches. This novel situation is what has given rise to similarity searching, also - ferred to as content based or similarity retrieval. The most general approach to similarity search, still allowing construction of index structures, is modeled in metric space. In this book. Prof. Zezula and his co authors provide the first monograph on this topic, describing its theoretical background as well as the practical search tools of this innovative technology.
Author | : John D. Baum |
Publisher | : Courier Corporation |
Total Pages | : 164 |
Release | : 1991-01-01 |
Genre | : Mathematics |
ISBN | : 0486668266 |
Topology continues to be a topic of prime importance in contemporary mathematics, but until the publication of this book there were few if any introductions to topology for undergraduates. This book remedied that need by offering a carefully thought-out, graduated approach to point set topology at the undergraduate level. To make the book as accessible as possible, the author approaches topology from a geometric and axiomatic standpoint; geometric, because most students come to the subject with a good deal of geometry behind them, enabling them to use their geometric intuition; axiomatic, because it parallels the student's experience with modern algebra, and keeps the book in harmony with current trends in mathematics. After a discussion of such preliminary topics as the algebra of sets, Euler-Venn diagrams and infinite sets, the author takes up basic definitions and theorems regarding topological spaces (Chapter 1). The second chapter deals with continuous functions (mappings) and homeomorphisms, followed by two chapters on special types of topological spaces (varieties of compactness and varieties of connectedness). Chapter 5 covers metric spaces. Since basic point set topology serves as a foundation not only for functional analysis but also for more advanced work in point set topology and algebraic topology, the author has included topics aimed at students with interests other than analysis. Moreover, Dr. Baum has supplied quite detailed proofs in the beginning to help students approaching this type of axiomatic mathematics for the first time. Similarly, in the first part of the book problems are elementary, but they become progressively more difficult toward the end of the book. References have been supplied to suggest further reading to the interested student.