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 Cham : Springer, 2020.
 Description
 Book — 1 online resource Digital: text file; PDF.
 Summary

 A Theory on NonConstant Frequency Decompositions and Applications (Chen). Onecomponent inner functions II (Cima). Biholomorphic Cryptosystems (Daras). Third order fermionic and fourth order bosonic operators (Ding). Holomorphic approximation: the legacy of Weierstrass, Runge, OkaWeil, and Mergelyan (Fornaess). A Potapovtype approach to a truncated matricial Stieltjestype power moment problem (Fritzsche). Formulas and inequalities for some special functions of a complex variable (Grinshpan). On the means of the nontrivial zeros of the Riemann zeta function (Hassani). Minimal kernels and compact analytic objects in complex surfaces(Mongodi). On the automorphic group of an entire function (Peretz). Integral representations in Complex Analysis: From classical results to recent developments (Range). On the Riemann zeta function and Gaussian multiplicative chaos (Saksman). Some new aspects in hypercomplex analysis (Sproessig). Some connections of complex dynamics (De Zotti).
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 Cham, Switzerland : Springer, [2020]
 Description
 Book — 1 online resource
 Summary

 On Equivalent Properties of HardyType Integral Inequality with the General Nonhomogeneous Kernel and Parameters. Fundamental Stabilities of Various Forms of Complex Valued Functional Equations. Statistical summability of double sequences by the weighted mean and associated approximation results. A survey on a conjecture of rainer bruck. Nonlinear MagnetoElasticity: Direct and Inverse Problems. Note on periodic and asymptotically periodic solutions of fractional differential equations. Mathematics of Wavefields. A Variational Technique to the Homogenization of Maxwell Equations. The NarimanovMoiseev multimodal analysis of nonlinear sloshing in circular conical tanks. The LengyelEpstein Reaction Diffusion System. Prediction and Control of Buckling: The Inverse Bifurcation Problems for von Karman equations. Numerical Solution with special layer adapted meshes for singularly perturbed boundary value problems. Use of Galerkin technique in some water wave scattering problems involving plane vertical barriers. Dynamics of a class of LeslieGower predation models with a nondifferentiable functional response. Entire solutions of a nonlinear diffusion system. Goal Programming Models for Managerial Strategic Decision Making. Modeling highly random dynamical infectious systems. On weighted convergence of double singular integral operators involving summation. Circularlike and circular elements in free product banach algebras induced by padic number fields Qp over primes p. On Statistical Deferred Weighted Bconvergence. Multi PolyBernoulli and Multi PolyEuler Polynomials. Geometric properties of normalized Wright functions . On the spectra of difference operators over some Banach spaces.
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3. Fundamental mathematical analysis [2020]
 Magnus, Robert, author.
 Cham, Switzerland : Springer, [2020]
 Description
 Book — 1 online resource.
 Summary

 1 Introduction. 2 Real Numbers. 3 Sequences and Series. 4 Functions and Continuity. 5 Derivatives and Differentiation. 6 Integrals and Integration. 7 The Elementary Transcendental Functions. 8 The Techniques of Integration. 9 Complex Numbers. 10 Complex Sequences and Series. 11 Function Sequences and Function Series. 12 Improper Integrals. Index.
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 Rozwiązujemy zadania z analizy matematycznej. English
 Radożycki, Tomasz.
 Cham : Springer, 2020.
 Description
 Book — 1 online resource (375 pages)
 Summary

 Examining Sets and Relations. Investigating Basic Properties of Functions. Defining Distance in Sets. Using Mathematical Induction. Investigating Convergence of Sequences and Looking for Their Limits. Dealing with Open, Closed and Compact Sets. Finding Limits of Functions. Examining Continuity and Uniform Continuity of Functions. Finding Derivatives of Functions. Using Derivatives to Study Certain Properties of Functions. Dealing with Higher Derivatives and Taylor's Formula. Looking for Extremes and Examine Functions. Investigating the Convergence of Series. Finding Indefinite Integrals. Investigating the Convergence of Sequences and Series of Functions.
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 Rozwiązujemy zadania z analizy matematycznej. English
 Radożycki, Tomasz.
 Cham : Springer, 2020.
 Description
 Book — 1 online resource (389 pages)
 Summary

 Exploring the Riemann and Definite Integral. Examining Improper Integrals. Applying OneDimensional Integrals to Geometry and Physics. Dealing with Functions of Several Variables. Investigating Derivatives of Multivariable Functions. Examining Higher Derivatives, Differential Expressions and the Taylor's Formula. Examining Extremes and Other Important Points. Examining Implicit and Inverse Functions. Solving Differential Equations of the First Order. Solving Differential Equations of Higher Orders. Solving Systems of FirstOrder Differential Equations. Integrating in Many Dimensions. Applying Multidimensional Integrals to Geometry and Physics.
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 Rozwiązujemy zadania z analizy matematycznej. English
 Radożycki, Tomasz.
 Cham, Switzerland : Springer, [2020]
 Description
 Book — 1 online resource (386 pages)
 Summary

 Examining Curves and Surfaces. Investigating Conditional Extremes. Investigating Integrals with Parameters. Examining Unoriented Curvilinear Integrals. Examining Differential Forms. Examining Oriented Curvilinear Integrals. Studying Functions of Complex Variable. Investigating Singularities of Complex Functions. Dealing with MultiValued Functions. Studying Fourier Series.
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 Cham : Birkhauser, [2019]
 Description
 Book — 1 online resource (912 pages)
 Summary

 FM. Frictional Contact Problems for Steady Flow of Incompressible Fluids in Orlicz Spaces. Discrete Fourier Transform and Theta Function Identities. On Some Combinatorics of RogersRamanujan Type Identities Using Signed Color Partitions. Piecewise Continuous StepanovLike Almost Automorphic Functions with Applications to Impulsive Systems. On the Convergence of SecantLike Methods. Spacetimes as Topological Spaces, and the Need to Take Methods of General Topology More Seriously. Analysis of Generalized BBM Equations: Symmetry Groups and Conservation Laws. Symmetry Analysis and Conservation Laws for Some Boussinesq Equations with Damping Terms. On Some Variable Exponent Problems with NoFlux Boundary Condition. On the General Decay for a System of Viscoelastic Wave Equations. Mathematical Theory of Incompressible Flows: Local Existence, Uniqueness, and BlowUp of Solutions in SobolevGevrey Spaces. Mathematical Research for Models Which is Related to Chemotaxis System. Optimal Control of Quasivariational Inequalities with Applications to Contact Mechanics. On Generalized Derivative Sampling Series Expansion. Voronoi Polygonal Hybrid Finite Elements and Their Applications. VariationalMethods for Schroedinger Type Equations. Nonlinear Nonhomogeneous Elliptic Problems. Summability of Double Sequences and Double Series Over NonArchimedean Fields: A Survey. On Approximate Solutions of Linear and Nonlinear Singular Integral Equations. On Approximate Solutions of Linear and Nonlinear Singular Integral Equations. On Difference Double Sequences and Their Applications. Pointwise Convergence Analysis for Nonlinear Double mSingular Integral Operators. A Survey on pAdic Integrals. On Statistical Deferred Cesaro Summability.
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8. Introduction to real analysis [2019]
 Heil, Christopher, 1960 author.
 Cham, Switzerland : Springer, [2019]
 Description
 Book — xvii, 400 pages : illustrations ; 25 cm.
 Summary

 Preliminaries
 Metric and Normed Spaces
 Metric Spaces
 Convergence and Completeness
 Topology in Metric Spaces
 Compact Sets in Metric Spaces
 Continuity for Functions on Metric Spaces
 Normed Spaces
 Vector Spaces
 Seminorms and Norms
 Infinite Series in Normed Spaces
 Equivalent Norms
 The Uniform Norm
 Some Function Spaces
 Holder and Lipschitz Continuity
 Lebesgue Measure
 Exterior Lebesgue Measure
 Boxes
 Some Facts about Boxes
 Exterior Lebesgue Measure
 The Exterior Measure of a Box
 The Cantor Set
 Regularity of Exterior Measure
 Lebesgue Measure
 Definition and Basic Properties
 Toward Countable Additivity and Closure under Complements
 Countable Additivity
 Equivalent Formulations of Measurability
 Carathéodory's Criterion
 Almost Everywhere and the Essential Supremum
 More Properties of Lebesgue Measure
 Continuity from Above and Below
 Cartesian Products
 Linear Changes of Variable
 Nonmeasurable Sets
 The Axiom of Choice
 Existence of a Nonmeasurable Set
 Further Results
 Measurable Functions
 Definition and Properties of Measurable Functions
 Extended RealValued Functions
 ComplexValued Functions
 Operations on Functions
 Sums and Products
 Compositions
 Suprema and Limits
 Simple Functions
 The Lebesgue Space L...(E)
 Convergence and Completeness in L...(E)
 Egorov's Theorem
 Convergence in Measure
 Luzin's Theorem
 The Lebesgue Integral
 The Lebesgue Integral of Nonnegative Functions
 Integration of Nonnegative Simple Functions
 Integration of Nonnegative Functions
 The Monotone Convergence Theorem and Fatou's Lemma
 The Monotone Convergence Theorem
 Fatou's Lemma
 The Lebesgue Integral of Measurable Functions
 Extended RealValued Functions
 ComplexValued Functions
 Properties of the Integral
 Integrable Functions and L1(E)
 The Lebesgue Space L1(E)
 Convergence in L1Norm
 Linearity of the Integral for Integrable Functions
 Inclusions between L1(E) and L...(E)
 The Dominated Convergence Theorem
 The Dominated Convergence Theorem
 First Applications of the DCT
 Approximation by Continuous Functions
 Approximation by Really Simple Functions
 Relation to the Riemann Integral
 Repeated Integration
 Fubini's Theorem
 Tonelli's Theorem
 Convolution
 Differentiation
 The CantorLebesgue Function
 Functions of Bounded Variation
 Definition and Examples
 Lipschitz and Holder Continuous Functions
 Indefinite Integrals and Antiderivatives
 The Jordan Decomposition
 Covering Lemmas
 The Simple Vitali Lemma
 The Vitali Covering Lemma
 Differentiability of Monotone Functions
 The Lebesgue Differentiation Theorem
 L1Convergence of Averages
 Locally Integrable Functions
 The Maximal Theorem
 The Lebesgue Differentiation Theorem
 Lebesgue Points
 Absolute Continuity and the Fundamental Theorem of Calculus
 Absolutely Continuous Functions
 Differentiability of Absolutely Continuous Functions
 Growth Lemmas
 The BanachZaretsky Theorem
 The Fundamental Theorem of Calculus
 Applications of the FTC
 Integration by Parts
 The Chain Rule and Changes of Variable
 Convex Functions and Jensen's Inequality
 The lp Spaces
 The lp Spaces
 Hölder's Inequality
 Minkowski's Inequality
 Convergence in the lp Spaces
 Completeness of the lp Spaces
 lp for p < 1
 C0 and C00
 The Lebesgue Space Lp(E)
 Seminorm Properties of II : IIp
 Identifying Functions That Are Equal Almost Everywhere
 Lp(E) for 0 < p < 1
 The Converse of Hölder's Inequality
 Convergence in Ipnorm
 Dense Subsets of Lp(E)
 Separability of Lp(E)
 Hilbert Spaces and L2(E)
 Inner Products and Hilbert Spaces
 The Definition of an Inner Product
 Properties of an Inner Product
 Hilbert Spaces
 Orthogonality
 Orthogonal Complements
 Orthogonal Projections
 Characterizations of the Orthogonal Projection
 The Closed Span
 The Complement of the Complement
 Complete Sequences
 Orthonormal Sequences and Orthonormal Bases
 Orthonormal Sequences
 Unconditional Convergence
 Orthogonal Projections Revisited
 Orthonormal Bases
 Existence of an Orthonormal Basis
 The Legendre Polynomials
 The Haar System
 Unitary Operators
 The Trigonometric System
 Convolution and the Fourier Transform
 Convolution
 The Definition of Convolution
 Existence
 Convolution as Averaging
 Approximate Identities
 Young's Inequality
 The Fourier Transform
 The Inversion Formula
 Smoothness and Decay
 Fourier Series
 Periodic Functions
 Decay of Fourier Coefficients
 Convolution of Periodic Functions
 Approximate Identities and the Inversion Formula
 Completeness of the Trigonometric System
 Convergence of Fourier Series for p ... 2
 The Fourier Transform on L2(R)
 Hints for Selected Exercises and Problems
 Index of Symbols
 References
 Index.
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Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

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QA300 .H435 2019  Unknown 
 Cham : Springer, c2019.
 Description
 Book — 1 online resource
 Summary

 Exact solution to systems of linear firstorder integrodifferential equations with multipoint and integral conditions (Baiburin and Providas). A variational approach to the financial problem with insolvencies and analysis of the contagion (Daniele et al.). Local Fixed Point Theorems in Generalized BMetric Spaces (Czerwik and Jozwik). Inequalities and Approximations for the Finite Hilbert Transform: a Survey of Recent Results (Dragomir). On hyperstability of the twovariable Jensen functional equation on restricted domain (ELFassi). On the Study of Circuit Chains Associated with a Random Walk with Jumps in Fixed, Random Environments: Criteria of Recurrence and Transience (Ganatsiou). On selections of some generalized setvalued inclusions (Rassias et al.). Certain fractional integral and differential formulas involving the extended incomplete generalized hypergeometric function (Agarwal et al.). On the stability of the triangular equilibrium points in the elliptic restricted threebody problem with radiation and oblateness (Kalantonis et al.). Some different type integral inequalities and their applications (Kashuri and Liko). Extensions of Kannappan's and Van Vleck's functional equations on semigroups (Elhoucien et al.). Recent Advances of Convexity Theory and its Inequalities (Jichang). Additive functional inequalities and partial multipliers in complex Banach algebras (Lee et al.). Additive functional inequalities and their applications (Park et al.). Graphic contraction principle and applications (Petrusel and Rus). A new approach for the inversion of the attenuated Radon transform (Protonotarios et al.). On algorithms for difference of monotone operators (Cattani et al.). Finite Element Analysis in Fluid Mechanics (Xenos et al.). On a HilbertType Integral Inequality in the Whole Plane Related to the Extended Riemann Zeta Function (Rassias and Yang). On metric structures of normed gyrogroups (Suksumran). Birelator spaces are natural generalizations of not only bitopological spaces, but also ideal topological spaces (Szaz). PPF dependent fixed points in Razumikhin metrical chains (Turinici). Equivalent Properties of Parameterized HilbertType Integral Inequalities (Yang). Trotter product formula for nonselfadjoint Gibbs semigroups (Zagrebnov).
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 Cham : Birkhauser, 2019.
 Description
 Book — 1 online resource.
 Summary

 FM. Ben de Pagter: Curriculum Vitae . 2Local automorphisms on AW*algebras. Orthosymmetric Archimedeanvalued vector lattices. Arens extensions for polynomials and the WoodburySchep formula. On the endpoints of De Leeuw restriction theorems. Lebesgue topologies and mixed topologies. Lattice homomorphisms in harmonic analysis. Noncommutative Boyd interpolation theorems revisited. Strict singularity: a lattice approach. Asymptotics of operator semigroups via the semigroup at infinity. Markov processes, strong Markov processes and Brownian motion in Riesz spaces. A solution to the AlSalamChihara moment problem. The Katowice problem for analysts. Onefold and twofold EllisGohberg inverse problems for scalar Wiener class functions. Relatively uniform convergence in partially ordered vector spaces revisited. Dedekind complete and order continuous Banach C(K)modules. Matrix valued Laguerre polynomials. Weighted Noncommutative Banach Function Spaces. Majorization for compact and weakly compact polynomials on Banach lattices. The UMD property for MusielakOrlicz spaces. The ls Boundedness of a Family of Integral Operators on UMD Banach Function Spaces. Backward stochastic evolution equations in UMD Banach spaces. On the Lipschitz decomposition problem in ordered Banach spaces and its connections to other branches of mathematics. Classes of localizable measure spaces. A residue formula for locally compact noncommutative manifolds. Regular states and the Regular Algebra Numerical Range. Bilaplace Eigenfunctions compared with Laplace Eigenfunctions in some special cases.Representations of the Dedekind completions of spaces of continuous functions. Joint representation of a Riesz space and its conjugate space. When do the regular operators between two Banach lattices form a lattice?. Lexicographic cones and the ordered projective tensor product.
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 Cham : Birkhauser, 2019.
 Description
 Book — 1 online resource (604 pages).
 Summary

 FM. Ben de Pagter: Curriculum Vitae . 2Local automorphisms on AW*algebras. Orthosymmetric Archimedeanvalued vector lattices. Arens extensions for polynomials and the WoodburySchep formula. On the endpoints of De Leeuw restriction theorems. Lebesgue topologies and mixed topologies. Lattice homomorphisms in harmonic analysis. Noncommutative Boyd interpolation theorems revisited. Strict singularity: a lattice approach. Asymptotics of operator semigroups via the semigroup at infinity. Markov processes, strong Markov processes and Brownian motion in Riesz spaces. A solution to the AlSalamChihara moment problem. The Katowice problem for analysts. Onefold and twofold EllisGohberg inverse problems for scalar Wiener class functions. Relatively uniform convergence in partially ordered vector spaces revisited. Dedekind complete and order continuous Banach C(K)modules. Matrix valued Laguerre polynomials. Weighted Noncommutative Banach Function Spaces. Majorization for compact and weakly compact polynomials on Banach lattices. The UMD property for MusielakOrlicz spaces. The ls Boundedness of a Family of Integral Operators on UMD Banach Function Spaces. Backward stochastic evolution equations in UMD Banach spaces. On the Lipschitz decomposition problem in ordered Banach spaces and its connections to other branches of mathematics. Classes of localizable measure spaces. A residue formula for locally compact noncommutative manifolds. Regular states and the Regular Algebra Numerical Range. Bilaplace Eigenfunctions compared with Laplace Eigenfunctions in some special cases.Representations of the Dedekind completions of spaces of continuous functions. Joint representation of a Riesz space and its conjugate space. When do the regular operators between two Banach lattices form a lattice?. Lexicographic cones and the ordered projective tensor product.
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 Rombaldi, JeanÉtienne.
 Les Ulis : EDP Sciences, 2019.
 Description
 Book — 1 online resource (266 pages)
 Cham : Birkhäuser, 2019.
 Description
 Book — 1 online resource (384 pages)
 Summary

 Part I Yingkang: Remembering Professor Yingkang Hu. Remembrances. On Some Properties of Moduli of Smoothness with JacobiWeights. Part II Approximation Theory, Harmonic and Complex Analysis, Splines and Classical Fourier Theory. Special Difference Operators and the Constants in the Classical JacksonType Theorems. Comparison Theorems for Completely and Multiply Monotone Functions and Their Applications. Concerning Exponential Bases on MultiRectangles of Rd. Hankel Transforms of General Monotone Functions. Univalence of a Certain Quartic Function. Finding, Stabilizing, and Verifying Cycles of Nonlinear Dynamical Systems. Finding Orbits of Functions Using Suffridge Polynomials. The Sharp RemezType Inequality for Even Trigonometric Polynomials on the Period. The Lebesgue Constants of Fourier Partial Sums. LiouvilleWeyl Derivatives of Double Trigonometric Series. Inequalities in Approximation Theory Involving Fractional Smoothness in Lp, 0 < p < 1. On de BoorFix Type Functionals for Minimal Splines. A Multidimensional HardyLittlewood Theorem. The Spurious Side of DiagonalMultipoint Pade Approximants. Spline Summability of Cardinal Sine Series and the Bernstein Class. Integral Identities for Polyanalytic Functions. Pointwise Behavior of Christoffel Function on Planar Convex Domains. Towards Best Approximations for
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 Chudnovsky, author.
 First edition  Boca Raton, FL : Routledge, [2018]
 Description
 Book — 1 online resource (480 pages)
 Summary

Here is an unsurpassed resourceimportant accounts of a variety of dynamic systems topicsrelated to number theory. Twelve distinguished mathematicians present a rare complete analyticsolution of a geodesic quantum problem on a negatively curved surface . and explicitdetermination of modular function growth near a real point . applications of number theoryto dynamical systems and applications of mathematical physics to number theory .tributes to the oftenunheralded pioneers in the field . an examination of completely integrableand exactly solvable physical models . and much more!Classical and Quantum Models and Arithmetic Problems is certainly a major source of information, advancing the studies of number theorists, algebraists, and mathematical physicistsinterested in complex mathematical properties of quantum field theory, statistical mechanics, and dynamic systems. Moreover, the volume is a superior source of supplementary readingfor graduatelevel courses in dynamic systems and application of number theory
 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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16. 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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 Online
Science Library (Li and Ma)
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QA300 .C647 2018  Unknown 
17. 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.
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 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

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QA300 .A33 2018  Unknown 
18. 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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19. 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.
20. Essential real analysis [2017]
 Field, Michael author.
 Cham, Switzerland : Springer, 2017.
 Description
 Book — xvii, 450 pages : illustrations ; 24 cm.
 Summary

 1 Sets, functions and the real numbers. 2 Basic properties of real numbers, sequences and continuous functions. 3 Infinite series. 4 Uniform convergence. 5 Functions.
 6. Topics from classical analysis: The Gammafunction and the EulerMaclaurin formula. 7 Metric spaces. 8 Fractals and iterated function systems. 9 Differential calculus on Rm. Bibliography. Index.
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 Online
Science Library (Li and Ma)
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QA300 .F54 2017  Unknown 
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