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1. Calculus [2008]
 Spivak, Michael, author.
 Fourth edition.  Houston, Tex. : Publish or Perish, Inc., [2008]
 Description
 Book — xiv, 680 pages : illustrations ; 26 cm
 Summary

 Pt.
 1. Prologue
 pt. II. Foundations
 pt. III. Derivatives and integrals
 pt. iv. Infinite sequences and infinite series
 pt. v. Epilogue.
 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA303 .S76 2008  Unknown On reserve at Li and Ma Science Library 2hour loan 
MATH61CM01
 Course
 MATH61CM01  Modern Mathematics: Continuous Methods
 Instructor(s)
 Ryzhik, Leonid
 Simon, L. (Leon), 1945
 [San Rafael, Calif.] : Morgan & Claypool Publishers, c2008.
 Description
 Book — vii, 132 p. : ill. ; 24 cm.
 Summary

 Linear algebra
 Analysis in Rn
 More linear algebra
 More analysis in Rn
 Introductory lectures on real analysis.
 Online

 dx.doi.org Synthesis Digital Library
 Google Books (Full view)
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA184.2 .S57 2008  Unknown On reserve at Li and Ma Science Library 2hour loan 
MATH61CM01, MATH61DM01
 Course
 MATH61CM01  Modern Mathematics: Continuous Methods
 Instructor(s)
 Ryzhik, Leonid
 Course
 MATH61DM01  Modern Mathematics: Discrete Methods
 Instructor(s)
 Fox, Jacob
3. 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.
 (source: Nielsen Book Data)
(source: Nielsen Book Data) 9780070542358 20160528
 Online
SAL3 (offcampus storage), Science Library (Li and Ma)
SAL3 (offcampus storage)  Status 

Stacks  Request 
QA300 .R8 1976  Available 
Science Library (Li and Ma)  Status 

Stacks  
QA300 .R8 1976  Unknown On reserve at Li and Ma Science Library 2hour loan 
QA300 .R8 1976  Unknown On reserve at Li and Ma Science Library 2hour loan 
MATH61CM01
 Course
 MATH61CM01  Modern Mathematics: Continuous Methods
 Instructor(s)
 Ryzhik, Leonid