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1. Elementary classical analysis [1993]
 Marsden, Jerrold E.
 2nd ed.  New York : W.H. Freeman, c1993.
 Description
 Book — xiv, 738 p. : ill. ; 25 cm.
 Summary

 1 THE REAL LINE AND EUCLIDEAN SPACE: Ordered Fields and the Number System Completeness and the Real Number System Least Upper Bounds Cauchy Sequences Cluster Points: lim inf and lim sup Euclidean Space Nomis, Inner Products, and Metrics The Complex Numbers Theorem Proofs Worked Examples Exercises
 2 THE TOPOLOGY OF EUCLIDEAN SPACE: Open Sets Interior of a Set Closed Sets Accumulation Points Closure of a Set Boundary of a Set Sequences Completeness Series of Real Numbers and Vectors Theorem Proofs Worked Examples Exercises.
 3 COMPACT AND CONNECTED SETS: Compactness The HeineBorel Theorem Nested Set Property PathConnected Sets Connected Sets Theorem Proofs Worked Examples Exercises.
 4 CONTINUOUS MAPPINGS: Continuity Images of Compact and Connected Sets Operations on Continuous Mappings The Boundedness of Continuous Functions on Compact Sets The Intermediate Value Theorem Uniform Continuity Differentiation of Functions of One Variable Intearation of Functions of One Variable Theorem Proofs Worked Examples Exercises.
 5 UNIFORM CONVERGENCE: Pointwise and Uniform Convergence The Weierstrass M Test Intecration and Differentiation of Series The Elementary Functions The Space of Continuous Functions The ArzelaAscoli Theorem The Contraction Mapping, Principle and Its Applications The StoneWeierstrass Theorem The Dirichlet and Abel Tests Power Series and Cesaro and Abel Summability Theorem Proofs Worked Examples Exercises.
 6 DIFFERENTIABLE MAPPINGS: Definition of the Derivative Matrix Representation Continuity of Differentiable Mappincs Differentiable Paths Conditions for Differentiability The Chain Rule Product Rule and Gradients The Mean Value Theorem Taylor's Theorem and Hiaher Derivatives Maxima and Minima Theorem Proofs Worked Examples Exercises.
 7 THE INVERSE AND IMPLICIT FUNCTION THEOREMS AND RELATED TOPICS: Inverse Function Theorem Implicit Function Theorem The DomainStraichteninc, Theorem Further Consequences of the Implicit Function Theorem An Existence Theorem for Ordinary Differential Equations The Morse Lemma Constrained Extrema and Lagrange Multipliers Theorem Proofs Worked Examples Exercises.
 8 INTEGRATION: Integrable Functions Volume and Sets of Measure Zero Lebesgue's Theorem Properties of the Integral Improper Integrals Some Convergence Theorems Introduction to Distributions Theorem Proofs Worked Examples Exercises.
 9 FUBINI'S THEOREM AND THE CHANGE OF  VARIABLES FORMULA: Introduction Fubini', s Theorem Chance of Variables Theorem Polar Coordinates Spherical and Cylindrical Coordinates A Note on the Lebesgue integral Interchange of Limiting Operations Theorem Proofs Worked Examples Exercises.
 10 FOURIER ANALYSIS: Inner Product Spaces Orthogonal Families of Functions Completeness and Converuence Theorems Functions of Bounded Variation and Fejdr Theory (Optional) Computation of Fourier Series Further ConverE!ence Theorems.
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2. Analysis, manifolds, and physics [1982]
 ChoquetBruhat, Yvonne.
 Rev. ed.  Amsterdam ; New York : NorthHolland Pub. Co., c1982.
 Description
 Book — xx, 630 p. : ill. ; 25 cm.
 Summary

 Preface. Chapters: I. Review of fundamental notions of analysis. II. Differential calculus on Banach spaces. III. Differentiable manifolds, finite dimensional case. IV. Integration on manifolds. V. Riemannian manifolds. Kahlerian manifolds. V bis. Connections on a principle fibre bundle. VI. Distributions. VII. Differentiable manifolds, infinite dimensional case. References. Symbols. Index.
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3. Analysis [1981  ]
 Analysis (Wiesbaden).
 Wiesbaden : Akademische Verlagsgesellschaft, 1981
 Description
 Journal/Periodical — v. ; 24 cm.
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QA299.6 .A53 V.15 1995  Available 
QA299.6 .A53 V.14 1994  Available 
QA299.6 .A53 V.13 1993  Available 
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QA299.6 .A53 V.11 1991  Available 
QA299.6 .A53 V.10 1990  Available 
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QA299.6 .A53 V.7 1987  Available 
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QA299.6 .A53 V.34 1983/1984  Available 
QA299.6 .A53 V.12 1981/1982  Available 
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Serials

Latest: v.39:iss.1 (2019) 
Shelved by title V.37 2017  Unknown 
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Shelved by title V.31 2011  Unknown 
 Bartle, Robert Gardner, 1927
 2d ed.  New York : Wiley, c1976.
 Description
 Book — xv, 480 p. : ill. ; 24 cm.
 Summary

 A Glimpse at Set Theory. The Real Numbers. The Topology of Cartesian Spaces. Convergence. Continuous Functions. Functions of One Variable. Infinite Series. Differentiation in RP Integration in RP.
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5. Principles of mathematical analysis [1976]
 Rudin, Walter, 19212010
 3d ed.  New York : McGrawHill, [1976]
 Description
 Book — x, 342 p. ; 24 cm.
 Summary

 Chapter 1: The Real and Complex Number Systems Introduction Ordered Sets Fields The Real Field The Extended Real Number System The Complex Field Euclidean Spaces Appendix Exercises
 Chapter 2: Basic Topology Finite, Countable, and Uncountable Sets Metric Spaces Compact Sets Perfect Sets Connected Sets Exercises
 Chapter 3: Numerical Sequences and Series Convergent Sequences Subsequences Cauchy Sequences Upper and Lower Limits Some Special Sequences Series Series of Nonnegative Terms The Number e The Root and Ratio Tests Power Series Summation by Parts Absolute Convergence Addition and Multiplication of Series Rearrangements Exercises
 Chapter 4: Continuity Limits of Functions Continuous Functions Continuity and Compactness Continuity and Connectedness Discontinuities Monotonic Functions Infinite Limits and Limits at Infinity Exercises
 Chapter 5: Differentiation The Derivative of a Real Function Mean Value Theorems The Continuity of Derivatives L'Hospital's Rule Derivatives of HigherOrder Taylor's Theorem Differentiation of Vectorvalued Functions Exercises
 Chapter 6: The RiemannStieltjes Integral Definition and Existence of the Integral Properties of the Integral Integration and Differentiation Integration of Vectorvalued Functions Rectifiable Curves Exercises
 Chapter 7: Sequences and Series of Functions Discussion of Main Problem Uniform Convergence Uniform Convergence and Continuity Uniform Convergence and Integration Uniform Convergence and Differentiation Equicontinuous Families of Functions The StoneWeierstrass Theorem Exercises
 Chapter 8: Some Special Functions Power Series The Exponential and Logarithmic Functions The Trigonometric Functions The Algebraic Completeness of the Complex Field Fourier Series The Gamma Function Exercises
 Chapter 9: Functions of Several Variables Linear Transformations Differentiation The Contraction Principle The Inverse Function Theorem The Implicit Function Theorem The Rank Theorem Determinants Derivatives of Higher Order Differentiation of Integrals Exercises
 Chapter 10: Integration of Differential Forms Integration Primitive Mappings Partitions of Unity Change of Variables Differential Forms Simplexes and Chains Stokes' Theorem Closed Forms and Exact Forms Vector Analysis Exercises
 Chapter 11: The Lebesgue Theory Set Functions Construction of the Lebesgue Measure Measure Spaces Measurable Functions Simple Functions Integration Comparison with the Riemann Integral Integration of Complex Functions Functions of Class L2 Exercises Bibliography List of Special Symbols Index.
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6. Analysis in Euclidean space [1975]
 Hoffman, Kenneth.
 Englewood Cliffs, N.J., PrenticeHall [1975]
 Description
 Book — xiv, 432 p. illus. 24 cm.
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7. 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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8. Problems and theorems in analysis [1972  1976]
 Aufgaben und Lehrsätze aus der Analysis. English
 Pólya, George, 18871985.
 Berlin, New York, Springer, 19721976.
 Description
 Book — 2 v. 24 cm.
 Summary

 v. 1. Series, integral calculus, theory of functions.
 v. 2. Theory of functions, zeros, polynomials, determinants, number theory, geometry. Translation by C.E. Billigheimer.
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9. Convex analysis [1970]
 Rockafellar, R. Tyrrell, 1935
 Princeton, N.J., Princeton University Press, 1970.
 Description
 Book — xviii, 451 p. 24 cm.
 Summary

Available for the first time in paperback, R. Tyrrell Rockafellar's classic study presents readers with a coherent branch of nonlinear mathematical analysis that is especially suited to the study of optimization problems. Rockafellar's theory differs from classical analysis in that differentiability assumptions are replaced by convexity assumptions. The topics treated in this volume include: systems of inequalities, the minimum or maximum of a convex function over a convex set, Lagrange multipliers, minimax theorems and duality, as well as basic results about the structure of convex sets and the continuity and differentiability of convex functions and saddle functions.This book has firmly established a new and vital area not only for pure mathematics but also for applications to economics and engineering. A sound knowledge of linear algebra and introductory real analysis should provide readers with sufficient background for this book. There is also a guide for the reader who may be using the book as an introduction, indicating which parts are essential and which may be skipped on a first reading."This book should remain for some years as the standard reference for anyone interested in convex analysis." J. D. Pryce, Edinburgh Mathematical Society.
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10. 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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11. Real and complex analysis [1966]
 Rudin, Walter, 19212010
 New York, McGrawHill [1966]
 Description
 Book — xi, 412 p. 24 cm.
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12. Principles of mathematical analysis [1964]
 Rudin, Walter, 19212010
 2d ed.  New York, McGrawHill [1964]
 Description
 Book — ix, 270 p. 23cm.
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13. Introduction to topology and modern analysis [1963]
 Simmons, George F. (George Finlay), 1925
 New York, McGrawHill [1963]
 Description
 Book — 372 p. illus. 24 cm.
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