Basic analysis III: mappings on infinite dimensional spaces
by Peterson, James K., (James Kent)
Basic Analysis III: Mappings on Infinite Dimensional Spaces is intended as a first course in abstract linear analysis. This textbook cover metric spaces, normed linear spaces and inner product spaces, along with many other deeper abstract ideas such a completeness, operators and dual spaces. These topics act as an important tool in the development of a mathematically trained scientist. Feature: Can be used as a traditional textbook as well as for self-study Suitable for undergraduates in mathem…
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- Full title :Basic analysis III : mappings on infinite dimensional spaces / James K. Peterson.
Summary
Basic Analysis III: Mappings on Infinite Dimensional Spaces is intended as a first course in abstract linear analysis. This textbook cover metric spaces, normed linear spaces and inner product spaces, along with many other deeper abstract ideas such a completeness, operators and dual spaces. These topics act as an important tool in the development of a mathematically trained scientist. Feature: Can be used as a traditional textbook as well as for self-study Suitable for undergraduates in mathematics and associated disciplines Emphasizes learning how to understand the consequences of assumptions using a variety of tools to provide the proofs of propositions.
Read More ↓Edition Statements
- Publication Date:2020.
- Edition:First edition
Publication Statements
- Publisher(s):CRC Press
- Place of Publication:Boca Raton, FL
- Language:eng
- Publication Date:2020.
The Physical Object
- Description:1 online resource (x, 458 pages)
Edition Identifiers
- ISBN:9781351679299, 1351679295, 9781315166209, 1315166208, 9781351679305, 1351679309, 9781351679282, 1351679287
- DOI:10.1201/9781315166209
- oclc:on1164494628
- LC Classification:QA320
- Dewey Decimal:515.7
Table of Contents
<OL></OL><P><STRONG>I. Introduction II. Metric Spaces.</STRONG> 2. Metric Spaces. 3. Completing a Metric Space. <STRONG>III. </STRONG><STRONG>Normed Linear Spaces.</STRONG> 4. Vector Spaces. 5. Normed Linear Spaces. 6. Linear Operators on Normed Spaces. <STRONG>IV. Inner Product Spaces.</STRONG> 7. Inner Product Spaces. 8. Hilbert Spaces. 9. Dual Spaces. 10. Hahn -- Banach Results. 11. More About Dual Spaces. 12. Some Classical Results. <STRONG>V. Operators.</STRONG> 13. Sturm-Liouville Operators. 14. Self Adjoint Operators. <STRONG>VI. Topics in Applied Modeling.</STRONG> 15. Fields and Charges on a Set. 16. Games. <STRONG>VII. Summing It All Up. VIII. References. IX. Detailed Indices. </STRONG></P>
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