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1. A guide to functional analysis [2013]
 Krantz, Steven G. (Steven George), 1951 author.
 [Washington, D.C.] : Mathematical Association of America, ©2013.
 Description
 Book — 1 online resource (xii, 137 pages) : illustrations.
 Summary

 Preface
 1. Fundamentals
 2. Ode to the dual space
 3. Hilbert space
 4. The algebra of operators
 5. Banach algebra basics
 6. Topological vector spaces
 7. Distributions
 8. Spectral theory
 9. Convexity
 10. Fixedpoint theorems Table of notation Glossary Bibliography Index.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
2. A guide to groups, rings, and fields [2012]
 Gouvêa, Fernando Q. (Fernando Quadros)
 Washington, DC : Mathematical Association of America, [2012]
 Description
 Book — xvii, 309 pages : illustrations ; 24 cm.
 Summary

 Preface A guide to this guide
 1. Algebra: classical, modern, and ultramodern
 2. Categories
 3. Algebraic structures
 4. Groups and their representations
 5. Rings and modules
 6. Fields and skew fields Bibliography Index of notations Index.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA155 .G68 2012  Unknown 
3. A guide to groups, rings, and fields [2012]
 Gouvêa, Fernando Q. (Fernando Quadros), author.
 Washington, DC : Mathematical Association of America, 2012.
 Description
 Book — 1 online resource (xvii, 309 pages).
 Summary

 Preface A guide to this guide
 1. Algebra: classical, modern, and ultramodern
 2. Categories
 3. Algebraic structures
 4. Groups and their representations
 5. Rings and modules
 6. Fields and skew fields Bibliography Index of notations Index.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
4. A guide to advanced linear algebra [2011]
 Weintraub, Steven H.
 Washington, DC : Mathematical Association of America, 2011.
 Description
 Book — xii, 251 p. : ill. ; 23 cm.
 Summary

 Preface
 1. Vector spaces and linear transformations
 2. Coordinates
 3. Determinants
 4. The structure of a linear transformation I
 5. The structure of a linear transformation II
 6. Bilinear, sesquilinear, and quadratic forms
 7. Real and complex inner product spaces
 8. Matrix groups as Lie groups A. Polynomials: A.1 Basic properties A.2 Unique factorization A.3 Polynomials as expressions and polynomials as functions B. Modules over principal ideal domains: B.1 Definitions and structure theorems B.2 Derivation of canonical forms Bibliography Index.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA184.2 .W45 2011  Unknown 
5. A guide to topology [2009]
 Krantz, Steven G. (Steven George), 1951
 [Washington, D.C.] : Mathematical Association of America, c2009.
 Description
 Book — xii, 107 p. : ill. ; 24 cm.
 Summary

 Preface Part I. Fundamentals: 1.1. What is topology? 1.2. First definitions 1.3 Mappings 1.4. The separation axioms 1.5. Compactness 1.6. Homeomorphisms 1.7. Connectedness 1.8. Pathconnectedness 1.9. Continua 1.10. Totally disconnected spaces 1.11. The Cantor set 1.12. Metric spaces 1.13. Metrizability 1.14. Baire's theorem 1.15. Lebesgue's lemma and Lebesgue numbers Part II. Advanced Properties: 2.1 Basis and subbasis 2.2. Product spaces 2.3. Relative topology 2.4. First countable and second countable 2.5. Compactifications 2.6. Quotient topologies 2.7. Uniformities 2.8. Morse theory 2.9. Proper mappings 2.10. Paracompactness Part III. MooreSmith Convergence and Nets: 3.1. Introductory remarks 3.2. Nets Part IV. Function Spaces: 4.1. Preliminary ideas 4.2. The topology of pointwise convergence 4.3. The compactopen topology 4.4. Uniform convergence 4.5. Equicontinuity and the AscoliArzela theorem 4.6. The Weierstrass approximation theorem Table of notation Glossary Bibliography Index.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA611 .K683 2009  Unknown 
6. A guide to functional analysis [2013]
 Krantz, Steven G. (Steven George), 1951 author.
 Washington, DC : The Mathematical Association of America, [2013]
 Description
 Book — xii, 137 pages : illustrations ; 24 cm.
 Summary

 Preface
 1. Fundamentals
 2. Ode to the dual space
 3. Hilbert space
 4. The algebra of operators
 5. Banach algebra basics
 6. Topological vector spaces
 7. Distributions
 8. Spectral theory
 9. Convexity
 10. Fixedpoint theorems Table of notation Glossary Bibliography Index.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA320 .K668 2013  Unknown 
7. A guide to plane algebraic curves [2011]
 Kendig, Keith, 1938
 [Washington, D.C.] : Mathematical Association of America, c2011.
 Description
 Book — xv, 193 p. : ill ; 24 cm.
 Summary

 Preface
 1. A gallery of algebraic curves
 2. Points at infinity
 3. From real to complex
 4. Topology of algebraic curves in P2.C/
 5. Singularities
 6. The big three: C, K, S Bibliography.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA567 .K46 2011  Unknown 
8. A guide to plane algebraic curves [2011]
 Kendig, Keith, 1938
 [Washington, D.C.] : Mathematical Association of America, ©2011.
 Description
 Book — 1 online resource (xv, 193 pages) : illustrations. Digital: data file.
 Summary

 Preface
 1. A gallery of algebraic curves
 2. Points at infinity
 3. From real to complex
 4. Topology of algebraic curves in P2.C/
 5. Singularities
 6. The big three: C, K, S Bibliography.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
9. A guide to advanced real analysis [2009]
 Folland, G. B.
 [Washington, D.C.] : Mathematical Association of America, c2009.
 Description
 Book — x, 107 p. : ill. ; 24 cm.
 Summary

 Preface Prologue: notation, terminology, and set theory Numbers sets and mappings Zorn's lemma
 1. Topology
 2. Measure and integration: general theory
 3. Measure and integration
 4. Rudiments of functional analysis
 5. Function spaces
 6. Topics in analysis on Euclidean space Bibliography Index.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA300 .F66 2009  Unknown 
10. A guide to advanced real analysis [2009]
 Folland, G. B., author.
 [Washington, D.C.] : Mathematical Association of America, ©2009.
 Description
 Book — 1 online resource (x, 107 pages) : illustrations.
 Summary

 Preface Prologue: notation, terminology, and set theory Numbers sets and mappings Zorn's lemma
 1. Topology
 2. Measure and integration: general theory
 3. Measure and integration
 4. Rudiments of functional analysis
 5. Function spaces
 6. Topics in analysis on Euclidean space Bibliography Index.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
11. A guide to real variables [2009]
 Krantz, Steven G. (Steven George), 1951
 [Washington, D.C.] : Mathematical Association of America, c2009.
 Description
 Book — xvi, 147 p. : ill. ; 24 cm.
 Summary

 Preface
 1. Basics
 2. Sequences
 3. Series
 4. The topology of the real line
 5. Limits and the continuity of functions
 6. The derivative
 7. The integral
 8. Sequences and series of functions
 9. Advanced topics Glossary of terms from real variable theory Bibliography Index.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA331.5 .K68 2009  Unknown 
12. A guide to complex variables [2008]
 Krantz, Steven G. (Steven George), 1951
 [Washington, D.C.] : Mathematical Association of America, c2008.
 Description
 Book — xviii, 182 p. : ill. ; 24 cm.
 Summary

 Preface
 1. The complex plane
 2. Complex line integrals
 3. Applications of the Cauchy theory
 4. Isolated singularities and Laurent series
 5. The argument principle
 6. The geometric theory of holomorphic functions
 7. Harmonic functions
 8. Infinite series and products
 9. Analytic continuation.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA331.7 .K743 2008  Unknown 
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