MARC details
| 000 -LEADER |
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| fixed length control field |
02504nam a22002777a 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20250207171741.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
250207b |||||||| |||| 00| 0 hin d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781138055131 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
NISER LIBRARY |
| Language of cataloging |
eng |
| Transcribing agency |
NISER LIBRARY |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
517 |
| Item number |
PET-B |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Peterson, James K. |
| 245 ## - TITLE STATEMENT |
|---|
| Title |
Basic analysis V : |
| Remainder of title |
functional analysis and topology |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
|---|
| Place of publication, distribution, etc. |
Boca Raton : |
| Name of publisher, distributor, etc. |
CRC Press/Taylor & Francis Group, |
| Date of publication, distribution, etc. |
2022. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
xi, 574 pages : |
| Other physical details |
40 B/W Illustrations |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
|---|
| Bibliography, etc |
Includes bibliographical references and index. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc. |
Basic Analysis V: Functional Analysis and Topology introduces graduate students in science to concepts from topology and functional analysis, both linear and nonlinear. It is the fifth book in a series designed to train interested readers how to think properly using mathematical abstractions, and how to use the tools of mathematical analysis in applications.<br/><br/>It is important to realize that the most difficult part of applying mathematical reasoning to a new problem domain is choosing the underlying mathematical framework to use on the problem. Once that choice is made, we have many tools we can use to solve the problem. However, a different choice would open up avenues of analysis from a different, perhaps more productive, perspective.<br/><br/>In this volume, the nature of these critical choices is discussed using applications involving the immune system and cognition.<br/><br/>Features :<br/><br/><br/>Develops a proof of the Jordan Canonical form to show some basic ideas in algebraic topology<br/><br/>Provides a thorough treatment of topological spaces, finishing with the Krein–Milman theorem.<br/><br/>Discusses topological degree theory (Brouwer, Leray–Schauder, and Coincidence).<br/><br/>Carefully develops manifolds and functions on manifolds ending with Riemannian metrics.<br/><br/>Suitable for advanced students in mathematics and associated disciplines.<br/><br/>Can be used as a traditional textbook as well as for self-study. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Analytic functions |
| Form subdivision |
Textbooks. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Functions of real variables |
| Form subdivision |
Textbooks. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Mathematical analysis |
| Form subdivision |
Textbooks. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Functional analysis |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Topology |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
|---|
| Materials specified |
Table of contents |
| Uniform Resource Identifier |
<a href="https://www.routledge.com/Basic-Analysis-V-Functional-Analysis-and-Topology/Peterson/p/book/9781138055131#googlePreviewContainer">https://www.routledge.com/Basic-Analysis-V-Functional-Analysis-and-Topology/Peterson/p/book/9781138055131#googlePreviewContainer</a> |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
|---|
| Materials specified |
Reviews |
| Uniform Resource Identifier |
<a href="https://www.goodreads.com/book/show/56215563-basic-analysis-v?ref=nav_sb_ss_1_13#CommunityReviews">https://www.goodreads.com/book/show/56215563-basic-analysis-v?ref=nav_sb_ss_1_13#CommunityReviews</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
Universal Decimal Classification |
| Koha item type |
Book |
