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 Valós analízis. English
 Laczkovich, Miklós, author.
 Fifth edition.  New York : Springer, [2015]
 Description
 Book — 1 online resource.
 Summary

 A Short Historical Introduction. Basic Concepts. Real Numbers. Infinite Sequences I. Infinite Sequences II. Infinite Sequences III. Rudiments of Infinite Series. Countable Sets. Real Valued Functions of One Variable. Continuity and Limits of Functions. Various Important Classes of Functions (Elementary Functions). Differentiation. Applications of Differentiation. The Definite Integral. Integration. Applications of Integration. Functions of Bounded Variation. The Stieltjes Integral. The Improper Integral.
 (source: Nielsen Book Data)
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2. Pure and applied analysis [2019  ]
 Berkeley, California : Mathematical Sciences Publishers, 2019
 Description
 Journal/Periodical
3. A comprehensive course in analysis [2015]
 Simon, Barry, 1946 author.
 Providence, Rhode Island : American Mathematical Society, [2015]
 Description
 Book — 5 volumes : illustrations (black and white) ; 26 cm + 1 booklet (iii, 68 pages : illustrations ; 25 cm)
 Summary

 * Contents for
 Part 1 (Real Analysis): Preliminaries* Topological spaces* A first look at Hilbert spaces and Fourier series* Measure theory* Convexity and Banach spaces* Tempered distributions and the Fourier transform* Bonus chapter: Probability basics* Bonus chapter: Hausdorff measure and dimension* Bonus chapter: Inductive limits and ordinary distributions* Bibliography* Symbol index* Subject index* Author index* Index of capsule biographies* Contents for Part 2A (Basic Complex Analysis): Preliminaries* The Cauchy integral theorem: Basics Consequences of the Cauchy integral formula* Chains and the ultimate Cauchy integral theorem* More consequences of the CIT* Spaces of analytic functions* Fractional linear transformations* Conformal maps* Zeros of analytic functions and product formulae* Elliptic functions* Selected additional topics* Bibliography* Symbol index* Subject index* Author index* Index of capsule biographies* Contents for Part 2B (Advanced Complex Analysis): Riemannian metrics and complex analysis* Some topics in analytic number theory* Ordinary differential equations in the complex domain* Asymptotic methods* Univalent functions and Loewner evolution* Nevanlinna theory* Bibliography* Symbol index* Subject index* Author index* Index of capsule biographies* Contents for
 Part 3 (Harmonic Analysis): Preliminaries* Pointwise convergence almost everywhere* Harmonic and subharmonic functions* Bonus chapter: Phase space analysis $H^p$ spaces and boundary values of analytic functions on the unit disk* Bonus chapter: More inequalities* Bibliography* Symbol index* Subject index* Author index* Index of capsule biographies* Contents for
 Part 4 (Operator Theory): Preliminaries* Operator basics* Compact operators, mainly on a Hilbert space* Orthogonal polynomials* The spectral theorem* Banach algebras* Bonus chapter: Unbounded selfadjoint operators* Bibliography* Symbol index* Subject index* Author index* Index of capsule biographies.
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 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

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QA300 .S536 2015 PT.1  Unknown 
QA300 .S536 2015 PT.2A  Unknown 
QA300 .S536 2015 PT.2B  Unknown 
QA300 .S536 2015 PT.2B  Unknown 
QA300 .S536 2015 PT.3  Unknown 
QA300 .S536 2015 PT.4  Unknown 
QA300 .S536 2015 SUPPL  Unknown 
4. Foundations of analysis [2015]
 Krantz, Steven G. (Steven George), 1951 author.
 Boca Raton, FL : CRC Press, 2015.
 Description
 Book — x, 301 pages : ill. ; 24 cm
 Summary

 Number Systems The Real Numbers The Complex Numbers
 Sequences Convergence of Sequences Subsequences Limsup and Liminf Some Special Sequences
 Series of Numbers Convergence of Series Elementary Convergence Tests Advanced Convergence Tests Some Special Series Operations on Series
 Basic Topology Open and Closed Sets Further Properties of Open and Closed Sets Compact Sets The Cantor Set Connected and Disconnected Sets Perfect Sets
 Limits and Continuity of Functions Basic Properties of the Limit of a Function Continuous Functions Topological Properties and Continuity Classifying Discontinuities and Monotonicity
 Differentiation of Functions The Concept of Derivative The Mean Value Theorem and Applications More on the Theory of Differentiation
 The Integral Partitions and the Concept of Integral Properties of the Riemann Integral Sequences and Series of Functions Convergence of a Sequence of Functions More on Uniform Convergence Series of Functions The Weierstrass Approximation Theorem
 Elementary Transcendental Functions Power Series More on Power Series: Convergence Issues The Exponential and Trigonometric Functions Logarithms and Powers of Real Numbers
 Appendix I: Elementary Number Systems
 Appendix II: Logic and Set Theory Table of Notation Glossary Bibliography Index.
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Science Library (Li and Ma)
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QA300 .K6445 2015  Unknown 
 International Conference on Analysis and Applied Mathematics (2nd : 2014 : Shymkent, Kazakhstan) author
 Melville, New York : AIP Publishing, 2014.
 Description
 Book — 1 online resource (x, 423 pages) : illustrations (some color). Digital: text file; PDF.
6. ISRN mathematical analysis [2011  ]
 New York, NY : Hindawi Publishing Corporation
 Description
 Journal/Periodical — 1 online resource
7. Communications in mathematical analysis [2006  ]
 Washington, DC : Communications in Mathematical Analysis, ©2007
 Description
 Journal/Periodical — 1 online resource
 Birkhoff, Garrett, 19111996
 Cambridge, Harvard University Press, 1973.
 Description
 Book — xii, 470 p. 26 cm.
 Online
 International Conference on Analysis and Applied Mathematics (4th : 2018 : Mersin 10, Turkey), author.
 [Melville, N.Y.] : AIP Publishing, 2018.
 Description
 Book — 1 online resource : illustrations (some color). Digital: text file.
 International Conference and Workshop on Mathematical Analysis (2017 : Malang, Indonesia)
 [Melville, New York] : AIP Publishing LLC, 2017.
 Description
 Book — 1 online resource : illustrations (some color). Digital: text file; PDF.
 International Conference on Analysis and Applied Mathematics (3rd : 2016 : Almaty, Kazakhstan)
 [Melville, New York] : AIP Publishing, 2016.
 Description
 Book — 1 online resource : illustrations (some color). Digital: text file; PDF.
 Gray, Jeremy, author.
 Cham : Springer, 2015.
 Description
 Book — 1 online resource.
 Summary

 Lagrange and foundations for the calculus
 Joseph Fourier
 Legendre
 Cauchy and continuity
 Cauchy: differentiation and integration
 Cauchy and complex functions to
 1830
 Abel
 Jacobi
 Gauss
 Cauchy and complex function theory, 18301857
 Complex functions and elliptic integrals
 Revision
 Gauss, Green, and potential theory
 Dirichlet, potential theory, and Fourier series
 Riemann
 Riemann and complex function theory
 Riemann's later complex function theory
 Responses to Riemann's work
 Weierstrass
 Weierstrass's foundational results
 Revision { and assessment
 Uniform Convergence
 Integration and trigonometric series
 The fundamental theorem of the calculus
 The construction of the real numbers
 Implicit functions
 Towards Lebesgue's theory of integration
 Cantor, set theory, and foundations
 Topology
 Assessment.
13. International journal of analysis [2013  ]
 New York, NY : Hindawi Pub. Co.
 Description
 Journal/Periodical — 1 online resource
14. Journal of applied analysis : JAA. [1995  ]
 Journal of applied analysis (Online)
 [Berlin] : Heldermann Verlag, ©1995
 Description
 Journal/Periodical
15. Problems and theorems in analysis [1972  1976]
 Aufgaben und Lehrsätze aus der Analysis. English
 Pólya, George, 18871985.
 Springer study ed.  New York ; Berlin : Springer, c1972c1976.
 Description
 Book — 2 volumes (xix, 389; xi, 391 pages) ; 24 cm
 Summary

 v. I. Series, integral calculus, theory of functions
 v. II. Theory of functions, zeros, polynomials, determinants, number theory, geometry.
Science Library (Li and Ma)
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QA300 .P6213 1972B V.1  Unavailable Checked out  Overdue Request 
QA300 .P6213 1972B V.1  Unknown 
QA300 .P6213 1972B V.2  Unknown 
 Haslinger, Friedrich, author.
 Berlin ; Boston : De Gruyter, [2018]
 Description
 Book — 1 online resource (ix, 338 pages.) :.
 Summary

In this textbook, a concise approach to complex analysis of one and several variables is presented. After an introduction of Cauchy`s integral theorem general versions of Runge`s approximation theorem and MittagLeffler`s theorem are discussed. The fi rst part ends with an analytic characterization of simply connected domains. The second part is concerned with functional analytic methods: Frechet and Hilbert spaces of holomorphic functions, the Bergman kernel, and unbounded operators on Hilbert spaces to tackle the theory of several variables, in particular the inhomogeneous CauchyRiemann equations and the dbar Neumann operator. Contents Complex numbers and functions Cauchy's Theorem and Cauchy's formula Analytic continuation Construction and approximation of holomorphic functions Harmonic functions Several complex variables Bergman spaces The canonical solution operator to Nuclear Frechet spaces of holomorphic functions The complex The twisted complex and Schroedinger operators.
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17. A first course in analysis [2018]
 Conway, John B., 1939 author.
 Cambridge, United Kingdom : Cambridge University Press, [2018]
 Description
 Book — xv, 340 pages ; 26 cm.
 Summary

 1. The real numbers
 2. Differentiation
 3. Integration
 4. Sequences of functions
 5. Metric and Euclidean spaces
 6. Differentiation in higher dimensions
 7. Integration in higher dimensions
 8. Curves and surfaces
 9. Differential forms.
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Science Library (Li and Ma)
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QA300 .C647 2018  Unknown 
18. An introduction to real analysis [2018]
 Agarwal, Ravi P., author.
 Boca Raton, FL : CRC Press, [2018]
 Description
 Book — xiv, 277 pages ; 24 cm
 Summary

 Logic and Proof Techniques. Sets and Functions. Real Numbers. Open and Closed Sets. Cardinality. Realvalued Functions. Real Sequences. Real Sequences (Contd.). Infinite Series. Infinite Series (Contd.). Limits of Functions. Continuous Functions. Discontinuous Functions. Uniform and Absolute Continuities and Functions of Bounded Variation. Differentiable Functions. Higher Order Differentiable Functions. Convex Functions. Indeterminate Forms. Riemann Integration. Properties of the Riemann Integral. Improper Integrals. RiemannLebesgue Theorem. RiemannStieltjes Integral. Sequences of Functions. Sequences of Functions (Contd.). Series of Functions. Power and Taylor Series. Power and Taylor Series (Contd.). Metric Spaces. Metric Spaces (Contd.). Bibliography. Index.
 (source: Nielsen Book Data)
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 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA300 .A33 2018  Unknown 
19. Lecture notes in real analysis [2018]
 Wang, Xiaochang, author.
 Cham, Switzerland : Birkhäuser, 2018.
 Description
 Book — 1 online resource (xiii, 207 pages) : illustrations (some color).
 Summary

 Prologue. Measures. Integrations. Signed Measures and Differentiation. Topology: A Generalization of Open Sets. Elements of Functional Analysis. Lp Spaces.
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20. Real and complex analysis. Volume 1 [2018]
 Sinha, Rajnikant, author.
 Singapore : Springer, 2018.
 Description
 Book — 1 online resource (ix, 637 pages)
 Summary

 Chapter 1. Lebesgue Integration
 Chapter 2. LpSpaces
 Chapter 3. Fourier Transforms
 Chapter 4. Holomorphic and Harmonic Functions
 Chapter 5. Conformal Mapping
 Chapter 6. Analytic Continuation
 Chapter 7. Special Functions.
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