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 #  AuthorTitleAccn#YearItem Type Claims
31 Arkeryd, Leif O Nonstandard Analysis I01155 1997 eBook  
32 Michael Reed Methods of modern mathematical physics volume 1 : Functional analysis 022340 1980 Book  
33 Richard R. Goldberg Methods of real analysis 019511 1964 Book  
34 Bellman, Richard Collection of modern mathematical classics analysis 019383 1961 Book  
35 John von Neumann Functional operators. Vol. 2: The geometry of orthogonal spaces 008671 1950 Book  
36 John von Neumann Functional operators. Vol. 1: Measures and integrals 008670 1950 Book  
37 Bela Bollobas Linear analysis: An introductory course 003705 1990 Book  
38 Lev J. Leifman (ed.) Functional analysis, optimization and mathematical economics: A collection of papers dedicated to the memory of Leonid Vital'evi 003377 1990 Book  
39 George Adomian Solving frontier problems of physics: The decomposition method 011140 1994 Book  
40 S.C. Bose Introduction to functional analysis 007662 1992 Book  
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31.    
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TitleNonstandard Analysis : Theory and Applications
Author(s)Arkeryd, Leif O;Cutland, Nigel J;Henson, C. Ward
PublicationDordrecht, Springer Netherlands, 1997.
DescriptionXIV, 366 p : online resource
Abstract Note1 More than thirty years after its discovery by Abraham Robinson , the ideas and techniques of Nonstandard Analysis (NSA) are being applied across the whole mathematical spectrum,as well as constituting an im?? portant field of research in their own right. The current methods of NSA now greatly extend Robinson's original work with infinitesimals. However, while the range of applications is broad, certain fundamental themes re?? cur. The nonstandard framework allows many informal ideas (that could loosely be described as idealisation) to be made precise and tractable. For example, the real line can (in this framework) be treated simultaneously as both a continuum and a discrete set of points; and a similar dual ap?? proach can be used to link the notions infinite and finite, rough and smooth. This has provided some powerful tools for the research mathematician - for example Loeb measure spaces in stochastic analysis and its applications, and nonstandard hulls in Banach spaces. The achievements of NSA can be summarised under the headings (i) explanation - giving fresh insight or new approaches to established theories; (ii) discovery - leading to new results in many fields; (iii) invention - providing new, rich structures that are useful in modelling and representation, as well as being of interest in their own right. The aim of the present volume is to make the power and range of appli?? cability of NSA more widely known and available to research mathemati?? cians
ISBN,Price9789401155441
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. Applications of Mathematics 4. APPLIED MATHEMATICS 5. EBOOK 6. EBOOK - SPRINGER 7. ENGINEERING MATHEMATICS 8. Fluid- and Aerodynamics 9. FLUIDS 10. FUNCTIONAL ANALYSIS 11. MATHEMATICAL ANALYSIS 12. PROBABILITIES 13. Probability Theory and Stochastic Processes
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32.     
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TitleMethods of modern mathematical physics volume 1 : Functional analysis
Author(s)Michael Reed;Barry Simon
EditionRevised adn Enlarged ed.
PublicationSan Diego, Academic press, 1980.
Descriptionxv; 400p.
ISBN,Price9780125850506 : US $144.00(HB)
Classification530.1:51
Keyword(s)1. BANACH SPACES 2. BOUNDED OPERATORS 3. EBOOK 4. EBOOK - ELSEVIER 5. FOURIER TRANSFORM 6. FUNCTIONAL ANALYSIS 7. HILBERT SPACE 8. MATHEMATICAL PHYSICS 9. SPECTRAL THEOREM 10. TOPOLOGICAL SPACES 11. UNBOUNDED OPERATORS
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022340   530.1:51/REED/022340  On Shelf    
OB0389   530.1:51/REED/  On Shelf    

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33.     
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TitleMethods of real analysis
Author(s)Richard R. Goldberg
PublicationWaltham, Blaisdell Publishing Company, 1964.
Description359p.
Series(Blaisdell book in pure and applied mathematics)
ISBN,PriceRs. 359.00(p)
Classification517.51
Keyword(s)1. FOURIER SERIES 2. FUNCTIONAL ANALYSIS 3. FUNCTIONS 4. MEASURE THEORY 5. METRIC SPACES 6. REAL ANALYSIS 7. SEQUENCES 8. TOPOLOGY
Item TypeBook

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019511   517.51/GOLD/019511  On Shelf    

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34.     
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TitleCollection of modern mathematical classics analysis
Author(s)Bellman, Richard
PublicationNew York, Dover Publications, Inc., 1961.
Descriptionxii, 292p.
ISBN,PriceUS $ 2.00
Classification517.1
Keyword(s)1. ANALYTIC NUMBER THEORY 2. APPROXIMATION THEORY 3. FUNCTIONAL ANALYSIS 4. INTEGRAL EQUATIONS 5. MATHEMATICAL ANALYSIS 6. MATHEMATICS
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019383   517.1/BEL/019383  On Shelf    

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35.     
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TitleFunctional operators. Vol. 2: The geometry of orthogonal spaces
Author(s)John von Neumann
PublicationPrinceton, Princeton University Press, 1950.
Description107pp.
Series(Annals of mathematics studies)
ISBN,Price9781400882250
Classification517.98
Keyword(s)1. EBOOK 2. EBOOK - PRINCETON UNIVERSITY PRESS 3. FUNCTIONAL ANALYSIS 4. GEOMETRY 5. OPERATOR THEORY 6. ORTHOGONAL SPACES
Item TypeBook
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008671   517.98/NEU/008671  On Shelf    
OB1747   517.98/NEU/  On Shelf    

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36.     
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TitleFunctional operators. Vol. 1: Measures and integrals
Author(s)John von Neumann
PublicationPrinceton, Princeton University Press, 1950.
Description261pp.
Series(Annals of mathematical studies)
Classification517.98
Keyword(s)1. EBOOK 2. EBOOK - PRINCETON UNIVERSITY PRESS 3. FUNCTIONAL ANALYSIS 4. INTEGRALS 5. MEASURES 6. OPERATOR THEORY
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008670   517.98/NEU/008670  On Shelf    
OB1746   517.98/NEU/  On Shelf    

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37.     
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TitleLinear analysis: An introductory course
Author(s)Bela Bollobas
PublicationCambridge, Cambridge University Press, 1990.
Description240pp.
Classification517.9
Keyword(s)1. FUNCTIONAL ANALYSIS 2. LINEAR ANALYSIS
Item TypeBook

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003705   517.9/BOL/003705  On Shelf    

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38.     
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TitleFunctional analysis, optimization and mathematical economics: A collection of papers dedicated to the memory of Leonid Vital'evich Kantorovich
Author(s)Lev J. Leifman (ed.)
PublicationNew York, Oxford University Press, 1990.
Description341p.
Classification517.9(042)
Keyword(s)1. ECONOMICS-MATHEMATICAL 2. FUNCTIONAL ANALYSIS 3. MATHEMATICAL OPTIMIZATION
Item TypeBook

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003377   517.9(042)/LEI/003377  On Shelf    

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39.     
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TitleSolving frontier problems of physics: The decomposition method
Author(s)George Adomian
PublicationDordrecht, Kluwer Academic Publishers, 1994.
Descriptionxii,352pp.
Series(Fundamental Theories of Physics)
Classification530.1:51
Keyword(s)1. ADOMIAN METHOD 2. DECOMPOSITION METHOD 3. FUNCTIONAL ANALYSIS 4. MATHEMATICAL PHYSICS 5. NONLINEAR FUNCTIONAL EQUATIONS
Item TypeBook
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011140   530.1:51/ADO/011140  On Shelf    

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40.    
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TitleIntroduction to functional analysis
Author(s)S.C. Bose
PublicationDelhi, Macmillan India Ltd., 1992.
Description250pp.
Classification517.9
Keyword(s)1. FUNCTIONAL ANALYSIS 2. HILBERT SPACE 3. LINEAR SPACES 4. METRIC SPACES 5. SPECTRAL THEORY
Item TypeBook

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007662   517.9/BOSE/007662  On Shelf    

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