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1. Understanding analysis [2001]
 Abbott, Stephen, 1964
 New York : Springer, c2001.
 Description
 Book — xii, 257 p. : ill. ; 24 cm.
 Summary

 1 The Real Numbers. 1.1 Discussion: The Irrationality of % MathType!MTEF!2!1!+ % feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9LqJc9 % vqaqpepm0xbba9pwe9Q8fs0yqaqpepae9pg0FirpepeKkFr0xfrx % frxb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbiqaaaSbdaGcaa % qaaiaaikdaaSqabaaaaa!3794! $$\sqrt
 2 $$. 1.2 Some Preliminaries. 1.3 The Axiom of Completeness. 1.4 Consequences of Completeness. 1.5 Cantor's Theorem. 1.6 Epilogue.
 2 Sequences and Series. 2.1 Discussion: Rearrangements of Infinite Series. 2.2 The Limit of a Sequence. 2.3 The Algebraic and Order Limit Theorems. 2.4 The Monotone Convergence Theorem and a First Look at Infinite Series. 2.5 Subsequences and the BolzanoWeierstrass Theorem. 2.6 The Cauchy Criterion. 2.7 Properties of Infinite Series. 2.8 Double Summations and Products of Infinite Series. 2.9 Epilogue.
 3 Basic Topology of R. 3.1 Discussion: The Cantor Set. 3.2 Open and Closed Sets. 3.3 Compact Sets. 3.4 Perfect Sets and Connected Sets. 3.5 Baire's Theorem. 3.6 Epilogue.
 4 Functional Limits and Continuity. 4.1 Discussion: Examples of Dirichlet and Thomae. 4.2 Functional Limits. 4.3 Combinations of Continuous Functions. 4.4 Continuous Functions on Compact Sets. 4.5 The Intermediate Value Theorem. 4.6 Sets of Discontinuity. 4.7 Epilogue.
 5 The Derivative. 5.1 Discussion: Are Derivatives Continuous?. 5.2 Derivatives and the Intermediate Value Property. 5.3 The Mean Value Theorem. 5.4 A Continuous NowhereDifferentiable Function. 5.5 Epilogue.
 6 Sequences and Series of Functions. 6.1 Discussion: Branching Processes. 6.2 Uniform Convergence of a Sequence of Functions. 6.3 Uniform Convergence and Differentiation. 6.4 Series of Functions. 6.5 Power Series. 6.6 Taylor Series. 6.7 Epilogue.
 7 The Riemann Integral. 7.1 Discussion: How Should Integration be Defined?. 7.2 The Definition of the Riemann Integral. 7.3 Integrating Functions with Discontinuities. 7.4 Properties of the Integral. 7.5 The Fundamental Theorem of Calculus. 7.6 Lebesgue's Criterion for Riemann Integrability. 7.7 Epilogue.
 8 Additional Topics. 8.1 The Generalized Riemann Integral. 8.2 Metric Spaces and the Baire Category Theorem. 8.3 Fourier Series. 8.4 A Construction of R From Q.
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QA300 .A18 2001  Unknown 
2. Understanding analysis [2015]
 Abbott, Stephen, 1964 author.
 Second edition.  New York ; Heidelberg : Springer, [2015]
 Description
 Book — xii, 312 pages : illustrations ; 25 cm.
 Summary

 Preface.
 1 The Real Numbers.
 2 Sequences and Series.
 3 Basic Topology of R.
 4 Functional Limits and Continuity.
 5 The Derivative.
 6 Sequences and Series of Functions.
 7 The Riemann Integral.
 8 Additional Topics. Bibliography. Index.
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QA300 .A18 2015  Unknown 
3. 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 
 Agresti, Alan, author.
 Hoboken, New Jersey : Wiley, [2015]
 Description
 Book — xiii, 444 pages : illustrations ; 25 cm.
 Summary

 Preface xi
 1 Introduction to Linear and Generalized Linear Models
 1
 1.1 Components of a Generalized Linear Model
 2
 1.2 Quantitative/Qualitative Explanatory Variables and Interpreting Effects
 6
 1.3 Model Matrices and Model Vector Spaces
 10
 1.4 Identifiability and Estimability
 13
 1.5 Example: Using Software to Fit a GLM
 15
 Chapter Notes
 20
 Exercises
 21
 2 Linear Models: Least Squares Theory
 26
 2.1 Least Squares Model Fitting
 27
 2.2 Projections of Data Onto Model Spaces
 33
 2.3 Linear Model Examples: Projections and SS Decompositions
 41
 2.4 Summarizing Variability in a Linear Model
 49
 2.5 Residuals Leverage and Influence
 56
 2.6 Example: Summarizing the Fit of a Linear Model
 62
 2.7 Optimality of Least Squares and Generalized Least Squares
 67
 Chapter Notes
 71
 Exercises
 71
 3 Normal Linear Models: Statistical Inference
 80
 3.1 Distribution Theory for Normal Variates
 81
 3.2 Significance Tests for Normal Linear Models
 86
 3.3 Confidence Intervals and Prediction Intervals for Normal Linear Models
 95
 3.4 Example: Normal Linear Model Inference
 99
 3.5 Multiple Comparisons: Bonferroni Tukey and FDR Methods
 107
 Chapter Notes
 111
 Exercises
 112
 4 Generalized Linear Models: Model Fitting and Inference
 120
 4.1 Exponential Dispersion Family Distributions for a GLM
 120
 4.2 Likelihood and Asymptotic Distributions for GLMs
 123
 4.3 LikelihoodRatio/Wald/Score Methods of Inference for GLM Parameters
 128
 4.4 Deviance of a GLM Model Comparison and Model Checking
 132
 4.5 Fitting Generalized Linear Models
 138
 4.6 Selecting Explanatory Variables for a GLM
 143
 4.7 Example: Building a GLM
 149
 Appendix: GLM Analogs of Orthogonality Results for Linear Models
 156
 Chapter Notes
 158
 Exercises
 159
 5 Models for Binary Data
 165
 5.1 Link Functions for Binary Data
 165
 5.2 Logistic Regression: Properties and Interpretations
 168
 5.3 Inference About Parameters of Logistic Regression Models
 172
 5.4 Logistic Regression Model Fitting
 176
 5.5 Deviance and Goodness of Fit for Binary GLMs
 179
 5.6 Probit and Complementary Log Log Models
 183
 5.7 Examples: Binary Data Modeling
 186
 Chapter Notes
 193
 Exercises
 194
 6 Multinomial Response Models
 202
 6.1 Nominal Responses: BaselineCategory Logit Models
 203
 6.2 Ordinal Responses: Cumulative Logit and Probit Models
 209
 6.3 Examples: Nominal and Ordinal Responses
 216
 Chapter Notes
 223
 Exercises
 223
 7 Models for Count Data
 228
 7.1 Poisson GLMs for Counts and Rates
 229
 7.2 Poisson/Multinomial Models for Contingency Tables
 235
 7.3 Negative Binomial GLMS
 247
 7.4 Models for ZeroInflated Data
 250
 7.5 Example: Modeling Count Data
 254
 Chapter Notes
 259
 Exercises
 260
 8 QuasiLikelihood Methods
 268
 8.1 Variance Inflation for Overdispersed Poisson and Binomial GLMs
 269
 8.2 BetaBinomial Models and QuasiLikelihood Alternatives
 272
 8.3 QuasiLikelihood and Model Misspecification
 278
 Chapter Notes
 282
 Exercises
 282
 9 Modeling Correlated Responses
 286
 9.1 Marginal Models and Models with Random Effects
 287
 9.2 Normal Linear Mixed Models
 294
 9.3 Fitting and Prediction for Normal Linear Mixed Models
 302
 9.4 Binomial and Poisson GLMMs
 307
 9.5 GLMM Fitting Inference and Prediction
 311
 9.6 Marginal Modeling and Generalized Estimating Equations
 314
 9.7 Example: Modeling Correlated Survey Responses
 319
 Chapter Notes
 322
 Exercises
 324
 10 Bayesian Linear and Generalized Linear Modeling
 333
 10.1 The Bayesian Approach to Statistical Inference
 333
 10.2 Bayesian Linear Models
 340
 10.3 Bayesian Generalized Linear Models
 347
 10.4 Empirical Bayes and Hierarchical Bayes Modeling
 351
 Chapter Notes
 357
 Exercises
 359
 11 Extensions of Generalized Linear Models
 364
 11.1 Robust Regression and Regularization Methods for Fitting Models
 365
 11.2 Modeling With Large p
 375
 11.3 Smoothing Generalized Additive Models and Other GLM Extensions
 378
 Chapter Notes
 386
 Exercises
 388
 Appendix A Supplemental Data Analysis Exercises
 391
 Appendix B Solution Outlines for Selected Exercises
 396
 References
 410
 Author Index
 427
 Example Index
 433
 Subject Index 435.
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QA299.8 .A37 2015  Unknown 
5. A problem book in real analysis [2010]
 Aksoy, Asuman G. (Asuman Güven)
 New York : Springer, c2010.
 Description
 Book — x, 254 p. : ill. (some col.) ; 27 cm.
 Summary

 Elementary Logic and Set Theory. Real Numbers. Sequences. Limits of Functions. Continuity. Differentiability. Integration. Series. Metric Spaces. Fundamentals of Topology. Sequences and Series of Functions.
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QA300 .A425 2010  Unknown 
6. How to think about analysis [2014]
 Alcock, Lara, author.
 First edition.  Oxford, United Kingdom : Oxford University Press, 2014.
 Description
 Book — xvii, 246 pages : illustrations ; 20 cm
 Summary

 PART 1: STUDYING ANALYSIS
 PART 2: CONCEPTS IN ANALYSIS.
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QA300 .A436 2014  Unknown 
7. Principles of real analysis [1998]
 Aliprantis, Charalambos D.
 3rd ed.  San Diego : Academic Press, c1998.
 Description
 Book — x, 415 p. : ill. ; 25 cm.
 Summary

 Fundamentals of Real Analysis Topology and Continuity The Theory of Measure The Lebesgue Integral Normed Spaces and LpSpaces Hilbert Spaces Special Topics in Integration Bibliography.
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QA300 .A48 1998  Unknown 
 Aliprantis, Charalambos D.
 2nd ed.  San Diego : Academic Press, c1999.
 Description
 Book — vii, 403 p. : ill. ; 24 cm.
 Summary

 Fundamentals of Real Analysis Topology and Continuity The Theory of Measure The Lebesgue Integral Normed Spaces and LpSpaces Hilbert Spaces Special Topics in Integration.
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QA300 .A483 1999  Unknown 
 Aliprantis, Charalambos D.
 Boston : Academic Press, c1990.
 Description
 Book — vii, 285 p. : ill. ; 24 cm.
 Online
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QA300 .A483 1990  Unavailable Checked out  Overdue Request 
10. Selected works of Frederick J. Almgren, Jr. [1999]
 Works. Selections. 1999
 Almgren, Frederick J.
 Providence, R.I. : American Mathematical Society, c1999.
 Description
 Book — xlvi, 586 p. : ill. ; 26 cm.
 Summary

 The mathematics of F. J. Almgren, Jr. by B. White On Almgren's regularity result by S. X. Chang The homotopy groups of the integral cycle groups by F. J. Almgren, Jr. An isoperimetric inequality by F. J. Almgren, Jr. Three theorems on manifolds with bounded mean curvature by F. J. Almgren, Jr. Existence and regularity almost everywhere of solutions to elliptic variational problems among surfaces of varying topological type and singularity structure by F. J. Almgren, Jr. Measure theoretic geometry and elliptic variational problems by F. J. Almgren, Jr. The structure of limit varifolds associated with minimizing sequences of mappings by F. J. Almgren, Jr. Existence and regularity almost everywhere of solutions to elliptic variational problems with constraints by F. J. Almgren, Jr. The structure of stationary one dimensional varifolds with positive density by W. K. Allard and F. J. Almgren, Jr. The geometry of soap films and soap bubbles by F. J. Almgren, Jr. and J. E. Taylor Examples of unknotted curves which bound only surfaces of high genus within their convex hulls by F. J. Almgren, Jr. and W. P. Thurston Regularity and singularity estimates on hypersurfaces minimizing parametric elliptic variational integrals by R. Schoen, L. Simon, and F. J. Almgren, Jr. Dirichlet's problem for multiple valued functions and the regularity of mass minimizing integral currents by F. J. Almgren, Jr. Liquid crystals and geodesics by R. N. Thurston and F. J. Almgren $\mathbf{Q}$ valued functions minimizing Dirichlet's integral and the regularity of area minimizing rectifiable currents up to codimension two by F. J. Almgren, Jr. Optimal isoperimetric inequalities by F. Almgren Coarea, liquid crystals, and minimal surfaces by F. Almgren, W. Browder, and E. Lieb Singularities of energy minimizing maps from the ball to the sphere: Examples, counterexamples, and bounds by F. J. Almgren, Jr. and E. H. Lieb Symmetric decreasing rearrangement is sometimes continuous by F. J. Almgren, Jr. and E. H. Lieb Questions and answers about areaminimizing surfaces and geometric measure theory by F. Almgren Curvaturedriven flows: A variational approach by F. Almgren, J. E. Taylor, and L. Wang Questions and answers about geometric evolution processes and crystal growth by F. Almgren.
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QA299.3 .A46 1999  Unknown 
11. Slice hyperholomorphic Schur analysis [2016]
 Alpay, Daniel, author.
 Cham : Birkhäuser, Springer International Publishing, [2016]
 Description
 Book — xii, 362 pages ; 25 cm.
 Summary

 Prologue
 Classical Schur analysis
 Preliminaries
 Some history
 Krein spaces, Pontryagin spaces, and negative squares
 The Wiener algebra
 The Nehari extension problem
 The CarathéodoryToeplitz extension problem
 Various classes of functions and realization theorems
 Rational functions
 Rational functions and minimal realizations
 Minimal factorization
 Rational functions Junitary on the imaginary line
 Rational functions Junitary on the unit circle
 Schur analysis
 The Schur algorithm
 Interpolation problems
 Firstorder discrete systems
 The Schur algorithm and reproducing kernel spaces
 Quaternionic analysis
 Finitedimensional Preliminaries
 Some preliminaries on quaternions
 Polynomials with quaternionic coefficients
 Matrices with quaternionic entries
 Matrix equations
 Quaternionic functional analysis
 Quaternionic locally convex linear spaces
 Quaternionic inner product spaces
 Quaternionic Hilbert spaces : main properties
 Partial majorants
 Majorant topologies and inner product spaces
 Quaternionic Hilbert spaces : weak topology
 Quaternionic Pontryagin spaces
 Quaternionic Krein spaces
 Positive definite functions and reproducing kernel quaternionic Hilbert spaces
 Negative squares and reproducing kernel quaternionic Pontryagin spaces
 Slice hyperholomorphic functions
 The scalar case
 The Hardy space of the unit ball
 Blaschke products (unit ball case)
 The Wiener algebra
 The Hardy space of the open halfspace
 Blaschke products (halfspace case)
 Operatorvalued slice hyperholomorphic functions
 Definition and main properties
 Sspectrum and Sresolvent operator
 Functional calculus
 Two results on slice hyperholomorphic extension
 Slice hyperholomorphic kernels
 The space H²H ̣(B) and slice backwardshift invariant subspaces
 Quaternionic schur analysis
 Reproducing kernel spaces and realizations
 Classes of functions
 The PotapovGinzburg transform
 Schur and generalized Schur functions of the ball
 Contractive multipliers, inner multipliers and BeurlingLax theorem
 A theorem on convergence of Schur multipliers
 The structure theorem
 Carathéodory and generalized Carathéodory functions
 Schur and generalized Schur functions of the halfspace
 Herglotz and generalized Herglotz functions
 Rational slice hyperholomorphic functions
 Definition and first properties
 Minimal realizations
 Realizations of unitary rational functions
 Rational slice hyperholomorphic functions
 Linear fractional transformation
 Backwardshift operators
 First applications : scalar interpolation and firstorder discrete systems
 The Schur algorithm
 A particular case
 The reproducing kernel method
 CarathéodoryFejér interpolation
 Boundary interpolation
 Firstorder discrete linear systems
 Discrete systems : the rational case
 Interpolation : operatorvalued Case
 Formulation of the interpolation problems
 The problem IP(H²H(B)) : the nondegenerate case
 Lefttangential interpolation in ... S(H₁, H₂, B)
 Interpolation in S(H₁, H₂, B) : the nondegenerate case
 Interpolation : the case of a finite number of interpolating conditions
 Leech's theorem
 Interpolation in S(H₁, H₂, B) : Nondegenerate case : Sufficiency
 Epilogue
 Bibliography
 Index
 Notation index.
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QA331.7 .A47 2016  Unknown 
 AMADE (Conference) (7th : 2012 : Minsk, Belarus)
 Cottenham, Cambridge : Cambridge Scientific Pub., c2014.
 Description
 Book — vi, 221 p., 16 p. of plates : col. ill. ; 25 cm
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QA299.6 .I53 2012  Unknown 
 AMADE (Conference) (8th : 2015 : Minsk, Belarus)
 Cottenham, Cambridge, UK : Cambridge Scientific Publishers, [2016]
 Description
 Book — xiv, 160 pages : illutrations (some color) ; 25 cm
 Online
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QA299.6 .A423 2015  Unknown 
14. Algebraic inequalities : new vistas [2016]
 Andreescu, Titu, 1956 author.
 Berkeley, California : Mathematical Sciences Research Institute ; Providence, Rhode Island : American Mathematical Society, [2016]
 Description
 Book — x, 124 pages : illustrations ; 26 cm.
 Summary

 * Some introductory problems* Squares are never negative* The arithmeticgeometric mean inequality, part I* The arithmeticgeometric mean inequality, part II* The harmonic mean* Symmetry in algebra, part I* Symmetry in algebra, part II* Symmetry in algebra, part III* The rearrangement inequality* The CauchySchwarz inequality.
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QA295 .A6244 2016  Unknown 
15. Matrix methods in analysis [1985]
 Antosik, Piotr.
 Berlin ; New York : SpringerVerlag, 1985.
 Description
 Book — iv, 114 p. ; 25 cm.
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Shelved by Series title V.1113  Unknown 
16. Real and complex analysis [2010]
 Apelian, Christopher.
 Boca Raton, FL : CRC Press, c2010.
 Description
 Book — xix, 547 p. : ill. ; 25 cm.
 Summary

 The Spaces R, Rk, and C. PointSet Topology. Limits and Convergence. Functions: Definitions and Limits. Functions: Continuity and Convergence. The Derivative. Real Integration. Complex Integration. Taylor Series, Laurent Series, and the Residue Calculus. Complex Functions as Mappings. Bibliography. Index.
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QA300 .A5685 2010  Unknown 
17. Calculus [1961  1962]
 Apostol, Tom M.
 [1st ed.]  New York, Blaisdell Pub. Co. [196162]
 Description
 Book — 2 v. illus. 27 cm.
 Summary

 v. 1. Introduction, with vectors and analytic geometry.
 v. 2. Calculus of several variables with applications to probability and vector analysis.
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QA300 .A57 V.1  Unknown 
QA300 .A57 V.2  Unknown 
18. Calculus [1967  1969]
 Apostol, Tom M.
 2d ed.  Waltham, Mass., Blaisdell Pub. Co. [196769]
 Description
 Book — 2 v. illus. 27 cm.
 Summary

 v. 1. Onevariable calculus, with an introduction to linear algebra.
 v. 2. Multivariable calculus and linear algebra, with applications to differential equations and probability.
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QA300 .A572 V.1  Available 
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QA300 .A572 V.1  Unknown 
QA300 .A572 V.2  Unknown 
19. Mathematical analysis [1974]
 Apostol, Tom M.
 2d ed.  Reading, Mass., AddisonWesley Pub. Co. [1974]
 Description
 Book — xvii, 492 p. illus. 25 cm.
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QA300 .A6 1974  Available 
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QA300 .A6 1974  Unknown 
 Gi͡uĭgens i Barrou, Nʹi͡uton i Guk. English
 Arnolʹd, V. I. (Vladimir Igorevich), 19372010
 Basel ; Boston : Birkhaüser Verlag, c1990.
 Description
 Book — 118 p. : ill. ; 21 cm.
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QA300 .A73513 1990  Unknown 