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 Cham, Switzerland : Birkhäuser, an imprint of Springer Nature Switzerland AG, [2020]
 Description
 Book — x, 616 pages : illustrations (some color) ; 25 cm
 Summary

 Preface. Big and nef classes, Futaki Invariant and resolutions of cubic threefolds. Bottom of spectra and amenability of coverings. Some remarks on the geometry of a class of locally conformally at metrics. Analytical properties for degenerate equations. On the existence problem of EinsteinMaxwell Kahler Metrics. Local moduli of scalarflat Kahler ale surfaces. Singular Ricci flows II. An inequality between complex Hessian measures of Hoelder continuous msubharmonic functions and capacity. A guided tour to normalized volume. Towards a Liouville theorem for continuous viscosity solutions to fully nonlinear elliptic equations in conformal geometry. Equivariant Ktheory and Resolution I: Abelian actions. ArsoveHuber's Theorem in Higher Dimensions. From local index theory to Bergman kernel: a heat kernel approach. FourierMukai Transforms, EulerGreen Currents, and KStability. The Variations of YangMills Lagrangian. Tian's properness conjectures: an introduction to Kahler geometry. Ancient solutions in geometric flows. The KahlerRicci flow on CP2. Pluriclosed flow and the geometrization of complex surfaces. From Optimal Transportation to Conformal Geometry. Special Lagrangian Equation. Positive scalar curvature on foliations: the enlargeability. KahlerEinstein metrics on toric manifolds and Gmanifolds. Some Questions in the Theory of Pseudoholomorphic Curves.
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QA360 .G4554 2020  Unknown 
 Polterovich, Leonid, 1963 author.
 Providence, Rhode Island : American Mathematical Society, [2020]
 Description
 Book — xi, 128 pages : illustrations ; 26 cm
 Summary

 A primer of persistence modules: Definition and first examples Barcodes Proof of the isometry theorem What can we read from a barcode? Applications to metric geometry and function theory: Applications of Rips complexes Topological function theory Persistent homology in symplectic geometry: A concise introduction to symplectic geometry Hamiltonian persistence modules Symplectic persistence modules Bibliography Notation index Subject index Name index.
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QA612 .P645 2020  Unavailable In process 
3. 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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QA300 .H435 2019  Unknown 
4. Invitation to real analysis [2019]
 Silva, César Ernesto, 1955 author.
 Providence, Rhode Island : American Mathematical Society, [2019]
 Description
 Book — x, 303 pages ; 27 cm.
 Summary

 Preliminaries: Sets, functions and induction The real numbers and the completeness property Sequences Topology of the real numbers and metric spaces Continuous functions Differentiable functions Integration Series Sequences and series of functions Solutions to questions Bibliographical notes Bibliography Index.
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QA300 .S5257 2019  Unknown 
5. Linear systems, signal processing and hypercomplex analysis : Chapman University, November 2017 [2019]
 Mathematics, Signal Processing and Linear Systems: New Problems and Directions (Conference) (2017 : Chapman University), creator.
 Cham, Switzerland : Birkhäuser/Springer Nature Switzerland AG, [2019]
 Description
 Book — viii, 316 pages ; 25 cm.
 Summary

 Editorial Introduction
 Multiplicative Stieltjes Functions and Associated Pairs of Reproducing Kernel Hilbert Spaces / J.A. Ball and V. Bolotnikov
 Quasi Boundary Triples, Selfadjoint Extensions and Robin Laplacians on the Halfspace / J. Behrndt and P. Schlosser
 Graph Laplace and Markov Operators on a Measure Space / S. Bezuglyi and P.E.T. Jorgensen
 Conditionally Free Probability / M. Bożejko
 Boundary Values of Discrete Monogenic Functions over Bounded Domains in R³ / P. Cerejeiras, U. Kähler, A. Legatiuk and D. Legatiuk
 Semicircular Elements Induced by Projections on Separable Hilbert Spaces / I. Cho and P.E.T. Jorgensen
 On a Backward Shifting Problem for [...)nonnegative Definite Sequences of Complex q x q Matrices / B. Fritzsche, B. Kirstein and C. Mädler
 Evolution of Nodes and their Application to Completely Integrable PDEs / A. Melnikov and R. Shusterman
 Frobenius Determinants and Bessel Functions / A. Sebbar and O. Wone
 Algebraic Residue Calculus Beyond the Complex Setting / A. Yger.
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QA329 .L57 2019  Unknown 
 Du, Qiang, 1964 author.
 Philadelphia : Society for Industrial and Applied Mathematics, [2019]
 Description
 Book — xiv, 166 pages : illustrations (chiefly color) ; 26 cm.
 Summary

Studies of complexity, singularity, and anomaly using nonlocal continuum models are steadily gaining popularity. This monograph provides an introduction to basic analytical, computational, and modeling issues and to some of the latest developments in these areas. Nonlocal Modeling, Analysis, and Computation includes motivational examples of nonlocal models, basic building blocks of nonlocal vector calculus, elements of theory for wellposedness and nonlocal spaces, connections to and coupling with local models, convergence and compatibility of numerical approximations, and various applications, such as nonlocal dynamics of anomalous diffusion and nonlocal peridynamic models of elasticity and fracture mechanics. A particular focus is on nonlocal systems with a finite range of interaction to illustrate their connection to traditional local systems represented by partial differential equations and fractional PDEs. These models are designed to represent nonlocal interactions explicitly and to remain valid for complex systems involving possible singular solutions and they have the potential to be alternatives to as well as bridges to existing local continuum and discrete models. The author discusses ongoing studies of nonlocal models to encourage the discovery of new mathematical theory for nonlocal continuum models and offer new perspectives on existing discrete models and local continuum models and the connections between them.
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QA611.28 .D8 2019  Unknown 
7. A passage to modern analysis [2019]
 Terrell, William J. author.
 Providence, Rhode Island : American Mathematical Society, [2019]
 Description
 Book — xxvii, 607 pages : illustrations ; 27 cm
 Summary

 Sets and functions The complete ordered field of real numbers Basic theory of series Basic topology, limits, and continuity The derivative The Riemann integral Sequences and series of functions The metric space ${\bf R}^n$ Metric spaces and completeness Differentiation in ${\bf R}^n$ The inverse and implicit function theorems The Riemann integral in Euclidean space Transformation of integrals Ordinary differential equations The Dirichlet problem and Fourier series Measure theory and Lebesgue measure The Lebesgue integral Inner product spaces and Fourier series The SchroederBernstein theorem Symbols and notations Bibliography Index.
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QA300 .T427 2019  Unknown 
 Bridger, Mark, 1942 author.
 Providence, Rhode Island : American Mathematical Society, [2019]
 Description
 Book — xvi, 302 pages ; 27 cm.
 Summary

 Preliminaries The real numbers and completeness An inverse function theorem and its application Limits, sequences and series Uniform continuity The Riemann integral Differentiation Sequences and series of functions The complex numbers and Fourier series References Index.
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QA300 .B68925 2019  Unknown 
9. Time changes of the Brownian motion : Poincaré inequality, heat kernel estimate, and protodistance [2018]
 Kigami, Jun, author.
 Providence, RI : American Mathematical Society, [2019]
 Description
 Book — v, 118 pages ; 26 cm.
 Summary

 Introduction Generalized Sierpinski carpets Standing assumptions and notations Gauge function The Brownian motion and the Green function Time change of the Brownian motion Scaling of the Green function Resolvents Poincare inequality Heat kernel, existence and continuity Measures having weak exponential decay Protodistance and diagonal lower estimate of heat kernel Proof of Theorem 1.1 Random measures having weak exponential decay Volume doubling measure and subGaussian heat kernel estimate Examples Construction of metrics from gauge function Metrics and quasimetrics Protodistance and the volume doubling property Upper estimate of $p_\mu (t, x, y)$ Lower estimate of $p_\mu (t, x, y)$ Non existence of superGaussian heat kernel behavior Bibliography List of notations Index.
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Shelved by Series title NO.1250  Unknown 
 Garling, D. J. H., author.
 Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2018.
 Description
 Book — ix, 348 pages ; 23 cm.
 Summary

 Introduction Part I. Topological Properties:
 1. General topology
 2. Metric spaces
 3. Polish spaces and compactness
 4. Semicontinuous functions
 5. Uniform spaces and topological groups
 6. C...dl...g functions
 7. Banach spaces
 8. Hilbert space
 9. The HahnBanach theorem
 10. Convex functions
 11. Subdifferentials and the legendre transform
 12. Compact convex Polish spaces
 13. Some fixed point theorems Part II. Measures on Polish Spaces:
 14. Abstract measure theory
 15. Further measure theory
 16. Borel measures
 17. Measures on Euclidean space
 18. Convergence of measures
 19. Introduction to Choquet theory Part III. Introduction to Optimal Transportation:
 20. Optimal transportation
 21. Wasserstein metrics
 22. Some examples Further reading Index.
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QA611.28 .G36 2018  Unknown 
11. 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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QA300 .C647 2018  Unknown 
 Bucharest : Editura Fundaţiei Theta, 2018.
 Description
 Book — xi, 165 pages : illustrations ; 25 cm.
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QA299.6 .F57 2018  Unknown 
13. An introduction to analysis [2018]
 Gunning, Robert C. (Robert Clifford), 1931
 Princeton, N. J. : Princeton University Press, [2018]
 Description
 Book — x, 370 pages : illustrations ; 27 cm
 Summary

An essential undergraduate textbook on algebra, topology, and calculus An Introduction to Analysis is an essential primer on basic results in algebra, topology, and calculus for undergraduate students considering advanced degrees in mathematics. Ideal for use in a oneyear course, this unique textbook also introduces students to rigorous proofs and formal mathematical writingskills they need to excel. With a range of problems throughout, An Introduction to Analysis treats ndimensional calculus from the beginningdifferentiation, the Riemann integral, series, and differential forms and Stokes's theoremenabling students who are serious about mathematics to progress quickly to more challenging topics. The book discusses basic material on point set topology, such as normed and metric spaces, topological spaces, compact sets, and the Baire category theorem. It covers linear algebra as well, including vector spaces, linear mappings, Jordan normal form, bilinear mappings, and normal mappings. Proven in the classroom, An Introduction to Analysis is the first textbook to bring these topics together in one easytouse and comprehensive volume. Provides a rigorous introduction to calculus in one and several variables Introduces students to basic topology Covers topics in linear algebra, including matrices, determinants, Jordan normal form, and bilinear and normal mappings Discusses differential forms and Stokes's theorem in n dimensions Also covers the Riemann integral, integrability, improper integrals, and series expansions.
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QA300 .G86 2018  Unknown 
 Bergin, Tiffany author.
 London : SAGE Publications, 2018.
 Description
 Book — xviii, 269 pages : illustrations ; 25 cm
 Summary

 Chapter 1: Introducing Data
 Chapter 2: Thinking like a Data Analyst
 Chapter 3: Finding, Collecting, and Organizing Data
 Chapter 4: Introducing Quantitative Data Analysis
 Chapter 5: Applying Quantitative Data Analysis: Correlations, TTests, and ChiSquare Tests
 Chapter 6: Introducing Qualitative Data Analysis
 Chapter 7: Applying Qualitative Data Analysis
 Chapter 8: Introducing Mixed Methods: How to Synthesize Quantitative and Qualitative Data Analysis Techniques
 Chapter 9: Communicating Findings and Visualizing Data
 Chapter 10: Conclusion: Becoming a Data Analyst.
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QA276.4 .B47 2018  Unknown 
15. 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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QA300 .A33 2018  Unknown 
16. Numerical analysis [2018]
 Sauer, Tim, author.
 Third edition.  [Hoboken, New Jersey] : Pearson, [2018]
 Description
 Book — xv, 657 pages ; 27 cm
 Summary

 Fundamentals
 Solving equations
 Systems of equations
 Interpolation
 Least squares
 Numerical differentiation and integration
 Ordinary differential equations
 Boundary value problems
 Partial differential equations
 Random numbers and applications
 Trigonometric interpolation and the FFT
 Compression
 Eigenvalues and singular values
 Optimization.
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QA297 .S348 2018  Unknown 
 Operator Theory, Analysis and the State Space Approach (Workshop) (2017 : Amsterdam, Netherlands), author.
 Cham : Birkhäuser, [2018]
 Description
 Book — xlviii, 464 pages : illustrations (chiefly color) ; 25 cm.
 Summary

 Curriculum Vitae of M.A. Kaashoek
 Publication List of M.A. Kaashoek
 List of Ph.D. students
 Personal reminiscenses / H. Bart, S. ter Horst, D.Pik, A. Ran, F. van Schagen and H.J. Woerdeman
 Carathéodory extremal functions on the symmetrized bidisc / J. Agler, Z.A. Lykova and N.J. Young
 Standard versus strict Bounded Real Lemma with infinitedimensional state space III : the dichotomous and bicausal cases / J.A. Ball, G.J. Groenewald and S. ter Horst
 Lfree directed bipartite graphs and echelontype canonical forms / H. Bart, T. Ehrhardt and B. Silbermann
 Extreme individual eigenvalues for a class of large Hessenberg Toeplitz matrices / J.M. Bogoya, S.M. Grudsky and I.S. Malysheva
 How to solve an equation with a Toeplitz operator? / A. Böttcher and E. Wegert
 On the maximal ideal space of even quasicontinuous functions on the unit circle / T. Ehrhardt and Z. Zhou
 Bisection eigenvalue method for Hermitian matrices with quasiseparable representation and a related inverse problem / Y. Eidelman and I. Haimovici
 A note on innerouter factorization of wide matrixvalued functions / A.E. Frazho and A.C.M. Ran
 An application of the Schur complement to truncated matricial power moment problems / B. Fritzsche, B. Kirstein and C. Mädler
 A Toeplitzlike operator with rational symbol having poles on the unit circle I : Fredholm properties / G.J. Groenewald, S. ter Horst, J. Jaftha and A.C.M. Ran
 Canonical form for Hsymplectic matrices / G.J. Groenewald, D.B. Janse van Rensburg and A.C.M. Ran
 A note on the Fredholm theory of singular integral operators with Cauchy and Mellin kernels / P. Junghanns and R. Kaiser
 Towards a system theory of rational systems / J. Němcová, M. Petreczky and J.H. van Schuppen
 Automorphisms of effect algebras / L. Plevnik and P. Šemrl
 GBDT of discrete skewselfadjoint Dirac systems and explicit solutions of the corresponding nonstationary problems / A.L. Sakhnovich
 On the reduction of general WienerHopf operators / F.O. Speck
 Maximum determinant positive definite Toeplitz completions / S. Sremac, H.J. Woerdeman and H. Wolkowicz
 On commutative C*algebras generated by Toeplitz operators with Tminvariant symbols / N. Vasilevski.
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QA329 .O64 2017  Unknown 
 Providence, Rhode Island : American Mathematical Society, [2017]
 Description
 Book — x, 361 pages : illustrations ; 26 cm.
 Summary

 * I. Losev, Rational Cherednik algebras and categorification* O. Dudas, M. Varagnolo, and E. Vasserot, Categorical actions on unipotent representations of finite classical groups* J. Brundan and N. Davidson, Categorical actions and crystals* A. M. Licata, On the 2linearity of the free group* M. Ehrig, C. Stroppel, and D. Tubbenhauer, The BlanchetKhovanov algebras* G. Lusztig, Generic character sheaves on groups over $k[\epsilon]/(\epsilon^r)$* D. Berdeja Suarez, Integral presentations of quantum lattice Heisenberg algebras* Y. Qi and J. Sussan, Categorification at prime roots of unity and hopfological finiteness* B. Elias, Folding with Soergel bimodules* L. T. Jensen and G. Williamson, The $p$canonical basis for Hecke algebras.
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QA169 .C3744 2017  Unknown 
 Providence, Rhode Island : American Mathematical Society, [2017]
 Description
 Book — x, 267 pages : illustrations ; 26 cm.
 Summary

 * B. Webster, Geometry and categorification* Y. Li, A geometric realization of modified quantum algebras* T. Lawson, R. Lipshitz, and S. Sarkar, The cube and the Burnside category* S. Chun, S. Gukov, and D. Roggenkamp, Junctions of surface operators and categorification of quantum groups* R. Rouquier, KhovanovRozansky homology and 2braid groups* I. Cherednik and I. Danilenko, DAHA approach to iterated torus links.
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QA169 .C3746 2017  Unknown 
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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QA300 .F54 2017  Unknown 