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  1. Title

    Complex analysis, Chapter 10: Poles, residues and all that

    Description
    This book contains chapters on complex numbers, complex functions, elementary functions, integration, Cauchy's Theorem, harmonic functions, series, Taylor and Laurent series, poles, residues and argument principle.
    Author
    George Cain
    http://people.math.gatech.edu/~cain/winter99/complex.html
  2. Title

    Complex analysis, Chapter 11: Argument principle

    Description
    This book contains chapters on complex numbers, complex functions, elementary functions, integration, Cauchy's Theorem, harmonic functions, series, Taylor and Laurent series, poles, residues and argument principle.
    Author
    George Cain
    http://people.math.gatech.edu/~cain/winter99/complex.html
  3. Title

    Complex analysis, Chapter 1: Complex numbers

    Description
    This book contains chapters on complex numbers, complex functions, elementary functions, integration, Cauchy's Theorem, harmonic functions, series, Taylor and Laurent series, poles, residues and argument principle.
    Author
    George Cain
    http://people.math.gatech.edu/~cain/winter99/complex.html
  4. Title

    Complex analysis, Chapter 2: Complex functions

    Description
    This book contains chapters on complex numbers, complex functions, elementary functions, integration, Cauchy's Theorem, harmonic functions, series, Taylor and Laurent series, poles, residues and argument principle.
    Author
    George Cain
    http://people.math.gatech.edu/~cain/winter99/complex.html
  5. Title

    Complex analysis, Chapter 3: Elementary functions

    Description
    This book contains chapters on complex numbers, complex functions, elementary functions, integration, Cauchy's Theorem, harmonic functions, series, Taylor and Laurent series, poles, residues and argument principle.
    Author
    George Cain
    http://people.math.gatech.edu/~cain/winter99/complex.html
  6. Title

    Complex analysis, Chapter 4: Integration

    Description
    This book contains chapters on complex numbers, complex functions, elementary functions, integration, Cauchy's Theorem, harmonic functions, series, Taylor and Laurent series, poles, residues and argument principle.
    Author
    George Cain
    http://people.math.gatech.edu/~cain/winter99/complex.html
  7. Title

    Complex analysis, Chapter 5: Cauchy's Theorem

    Description
    This book contains chapters on complex numbers, complex functions, elementary functions, integration, Cauchy's Theorem, harmonic functions, series, Taylor and Laurent series, poles, residues and argument principle.
    Author
    George Cain
    http://people.math.gatech.edu/~cain/winter99/complex.html
  8. Title

    Complex analysis, Chapter 6: More integration

    Description
    This book contains chapters on complex numbers, complex functions, elementary functions, integration, Cauchy's Theorem, harmonic functions, series, Taylor and Laurent series, poles, residues and argument principle.
    Author
    George Cain
    http://people.math.gatech.edu/~cain/winter99/complex.html
  9. Title

    Complex analysis, Chapter 7: Harmonic functions

    Description
    This book contains chapters on complex numbers, complex functions, elementary functions, integration, Cauchy's Theorem, harmonic functions, series, Taylor and Laurent series, poles, residues and argument principle.
    Author
    George Cain
    http://people.math.gatech.edu/~cain/winter99/complex.html
  10. Title

    Complex analysis, Chapter 8: Series

    Description
    This book contains chapters on complex numbers, complex functions, elementary functions, integration, Cauchy's Theorem, harmonic functions, series, Taylor and Laurent series, poles, residues and argument principle.
    Author
    George Cain
    http://people.math.gatech.edu/~cain/winter99/complex.html
  11. Title

    Complex analysis, Chapter 9: Taylor and Laurent series

    Description
    This book contains chapters on complex numbers, complex functions, elementary functions, integration, Cauchy's Theorem, harmonic functions, series, Taylor and Laurent series, poles, residues and argument principle.
    Author
    George Cain
    http://people.math.gatech.edu/~cain/winter99/complex.html
  12. Title

    Complex analysis, Contents

    Description
    This book contains chapters on complex numbers, complex functions, elementary functions, integration, Cauchy's Theorem, harmonic functions, series, Taylor and Laurent series, poles, residues and argument principle.
    Author
    George Cain
    http://people.math.gatech.edu/~cain/winter99/complex.html
  13. Title

    Introduction to real analysis

    Description
    This book includes real numbers, differential calculus of functions of one variable, integral calculus of functions of one variable, infinite sequences and series, real-valued functions of several variables, vector-valued functions of several variables, integrals of functions of several variables and metric spaces. Two supplements to this book are available as separate documents.
    Author
    William F. Trench
    http://digitalcommons.trinity.edu/mono/7/
  14. Title

    Introduction to real analysis, Supplement I: Functions defined by improper integrals

    Description
    This document supplements Section 3.4 Improper Integrals of the book Introduction to Real Analysis by Williams F. Trench.
    Author
    William F. Trench
    http://digitalcommons.trinity.edu/cgi/viewcontent.cgi?filename=0&article=1006&context=mono&type=additional
  15. Title

    Introduction to real analysis, Supplement II: The method of Lagrange multipliers

    Description
    This document supplements Section 3.4 Improper Integrals of the book Introduction to Real Analysis by Williams F. Trench.
    Author
    William F. Trench
    http://digitalcommons.trinity.edu/cgi/viewcontent.cgi?filename=1&article=1006&context=mono&type=additional
  16. Title

    Mathematical Analysis: Volume I

    Description
    This book contains set theory, real numbers and fields, vector spaces and metric spaces, function limits and continuity and differentiation and antidifferentiation.
    Author
    Elias Zakon
    Publisher
    The Trillia Group
    http://www.trillia.com/zakon-analysisI.html
  17. Title

    Primer of real analysis

    Description
    This book includes fundamentals, sequences and series, cardinality, topology of the real line, limits and continuity, derivatives, integrals and more functions.
    Author
    Dan Sloughter
    http://www.synechism.org/wp/a-primer-of-real-analysis/
  18. Title

    Semi-classical analysis

    Description
    This book on semi-classical analysis approaches it from the perspective of symbolic calculus. It starts with a discussion of symplectic geometry, the origin of techniques involved in symbolic calculus, and then applies these results to semi-classical analysis.The book was written by Victor Guillemin and Shlomo Sternberg from the Department of Mathematics, Harvard University, USA.
    Author
    Victor Guillemin; Shlomo Sternberg
    Publisher
    Department of Mathematics, Harvard University
    http://www.math.harvard.edu/~shlomo/docs/Semi_Classical_Analysis_Start.pdf
  19. Title

    Theory of functions of a real variable

    Description
    This book was written to accompany a course in real variables and functional analysis. It assumes the basics of real variable theory and point set topology. Chapters cover: the topology of metric spaces; Hilbert spaces and compact operators; Fourier transforms; measure theory; Lebesgue integrals; Daniell integrals; Wiener measure; Brownian motion and white noise; Haar measure; Banach algebras and the spectral theorem; Stone's theorem; and, scattering theory. The book was written by Shlomo Sternberg from the Department of Mathematics, Harvard University, USA.
    Author
    Shlomo Sternberg
    Publisher
    Department of Mathematics, Harvard University
    http://www.math.harvard.edu/~shlomo/docs/Real_Variables.pdf

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