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- Title
Brief excursion into the mathematical theory of mixed finite element methods
- Description
- Lecture notes on the mathematical theory of mixed finite element methods are provided. The notes were prepared to accompany a course given by Endre Suli at the Mathematical Institute, University of Oxford, England.
- Publisher
- Mathematical Institute, University of Oxford
- http://www.maths.ox.ac.uk/system/files/coursematerial/2013/2799/1/Mixed_FEM_Lecture_Notes_Endre_Suli.pdf
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- 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.
- http://people.math.gatech.edu/~cain/winter99/complex.html
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- 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.
- http://people.math.gatech.edu/~cain/winter99/complex.html
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- 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.
- http://people.math.gatech.edu/~cain/winter99/complex.html
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- 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.
- http://people.math.gatech.edu/~cain/winter99/complex.html
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- 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.
- http://people.math.gatech.edu/~cain/winter99/complex.html
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- 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.
- http://people.math.gatech.edu/~cain/winter99/complex.html
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- 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.
- http://people.math.gatech.edu/~cain/winter99/complex.html
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- 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.
- http://people.math.gatech.edu/~cain/winter99/complex.html
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- 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.
- http://people.math.gatech.edu/~cain/winter99/complex.html
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- 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.
- http://people.math.gatech.edu/~cain/winter99/complex.html
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- 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.
- http://people.math.gatech.edu/~cain/winter99/complex.html
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- 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.
- http://people.math.gatech.edu/~cain/winter99/complex.html
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- 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.
- http://digitalcommons.trinity.edu/mono/7/
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- 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.
- http://digitalcommons.trinity.edu/cgi/viewcontent.cgi?filename=0&article=1006&context=mono&type=additional
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- 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.
- http://digitalcommons.trinity.edu/cgi/viewcontent.cgi?filename=1&article=1006&context=mono&type=additional
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- 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.
- Publisher
- The Trillia Group
- http://www.trillia.com/zakon-analysisI.html
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- 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.
- http://www.synechism.org/wp/a-primer-of-real-analysis/
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- 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.
- Publisher
- Department of Mathematics, Harvard University
- http://www.math.harvard.edu/~shlomo/docs/Semi_Classical_Analysis_Start.pdf
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- 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.
- Publisher
- Department of Mathematics, Harvard University
- http://www.math.harvard.edu/~shlomo/docs/Real_Variables.pdf
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