Analysis of Functions of a Single Variable by Lawrence Baggett - HTML preview

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Attributions

Collection: Analysis of Functions of a Single Variable
Edited by: Lawrence Baggett
URL: http://cnx.org/content/col11249/1.1/
Copyright: Lawrence Baggett
License: http://creativecommons.org/licenses/by/3.0/

Module: Preface to Analysis of Functions of a Single Variable: A Detailed Development
By: Lawrence Baggett
URL: http://cnx.org/content/m36084/1.3/
Copyright: Lawrence Baggett
License: http://creativecommons.org/licenses/by/3.0/

Module: The Real and Complex Numbers: Definition of the Numbers 1, i, and the square root of 2
Used here as: Definition of the Numbers 1, i, and the square root of 2
By: Lawrence Baggett
URL: http://cnx.org/content/m36082/1.3/
Copyright: Lawrence Baggett
License: http://creativecommons.org/licenses/by/3.0/

Module: The Real and Complex Numbers: The Natural Numbers and the Integers
Used here as: The Natural Numbers and the Integers
By: Lawrence Baggett
URL: http://cnx.org/content/m36075/1.2/
Copyright: Lawrence Baggett
License: http://creativecommons.org/licenses/by/3.0/

Module: The Real and Complex Numbers: The Rational Numbers
Used here as: The Rational Numbers
By: Lawrence Baggett
URL: http://cnx.org/content/m36061/1.2/
Copyright: Lawrence Baggett
License: http://creativecommons.org/licenses/by/3.0/

Module: The Real and Complex Numbers: The Real Numbers
Used here as: The Real Numbers
By: Lawrence Baggett
URL: http://cnx.org/content/m36069/1.2/
Copyright: Lawrence Baggett
License: http://creativecommons.org/licenses/by/3.0/

Module: The Real and Complex Numbers: Properties of the Real Numbers
Used here as: Properties of the Real Numbers
By: Lawrence Baggett
URL: http://cnx.org/content/m36085/1.2/
Copyright: Lawrence Baggett
License: http://creativecommons.org/licenses/by/3.0/

Module: The Real and Complex Numbers: Intervals and Approximation
Used here as: Intervals and Approximation
By: Lawrence Baggett
URL: http://cnx.org/content/m36094/1.2/
Copyright: Lawrence Baggett
License: http://creativecommons.org/licenses/by/3.0/

Module: The Real and Complex Numbers: The Geometric Progression and the Binomial Theorem
Used here as: The Geometric Progression and the Binomial Theorem
By: Lawrence Baggett
URL: http://cnx.org/content/m36104/1.2/
Copyright: Lawrence Baggett
License: http://creativecommons.org/licenses/by/3.0/

Module: The Real and Complex Numbers: The Complex Numbers
Used here as: The Complex Numbers
By: Lawrence Baggett
URL: http://cnx.org/content/m36113/1.2/
Copyright: Lawrence Baggett
License: http://creativecommons.org/licenses/by/3.0/

Module: Introduction to the Limit of a Sequence of Numbers: Definition of the Number e:
Used here as: Definition of the Number e
By: Lawrence Baggett
URL: http://cnx.org/content/m36117/1.2/
Copyright: Lawrence Baggett
License: http://creativecommons.org/licenses/by/3.0/

Module: The Limit of a Sequence of Numbers: Sequences and Limits
Used here as: Sequences and Limits
By: Lawrence Baggett
URL: http://cnx.org/content/m36118/1.2/
Copyright: Lawrence Baggett
License: http://creativecommons.org/licenses/by/3.0/

Module: The Limit of a Sequence of Numbers: Existence of Certain Fundamental Limits
Used here as: Existence of Certain Fundamental Limits
By: Lawrence Baggett
URL: http://cnx.org/content/m36120/1.2/
Copyright: Lawrence Baggett
License: http://creativecommons.org/licenses/by/3.0/

Module: The Limit of a Sequence of Numbers: Definition of e
Used here as: Definition of e
By: Lawrence Baggett
URL: http://cnx.org/content/m36124/1.2/
Copyright: Lawrence Baggett
License: http://creativecommons.org/licenses/by/3.0/

Module: The Limit of a Sequence of Numbers: Properties of Convergent Sequences
Used here as: Properties of Convergent Sequences
By: Lawrence Baggett
URL: http://cnx.org/content/m36126/1.2/
Copyright: Lawrence Baggett
License: http://creativecommons.org/licenses/by/3.0/

Module: The Limit of a Sequence of Numbers: Subsequences and Cluster Points
Used here as: Subsequences and Cluster Points
By: Lawrence Baggett
URL: http://cnx.org/content/m36129/1.2/
Copyright: Lawrence Baggett
License: http://creativecommons.org/licenses/by/3.0/

Module: The Limit of a Sequence of Numbers: A Little Topology
Used here as: A Little Topology
By: Lawrence Baggett
URL: http://cnx.org/content/m36157/1.2/
Copyright: Lawrence Baggett
License: http://creativecommons.org/licenses/by/3.0/

Module: The Limit of a Sequence of Numbers: Infinite Series
Used here as: Infinite Series
By: Lawrence Baggett
URL: http://cnx.org/content/m36135/1.2/
Copyright: Lawrence Baggett
License: http://creativecommons.org/licenses/by/3.0/

Module: Functions and Continuity Definition of the Number π
By: Lawrence Baggett
URL: http://cnx.org/content/m36131/1.2/
Copyright: Lawrence Baggett
License: http://creativecommons.org/licenses/by/3.0/

Module: Functions and Continuity: Functions
Used here as: Functions
By: Lawrence Baggett
URL: http://cnx.org/content/m36141/1.2/
Copyright: Lawrence Baggett
License: http://creativecommons.org/licenses/by/3.0/

Module: Functions and Continuity: Polynomial Functions
Used here as: Polynomial Functions
By: Lawrence Baggett
URL: http://cnx.org/content/m36147/1.2/
Copyright: Lawrence Baggett
License: http://creativecommons.org/licenses/by/3.0/

Module: Functions and Continuity: Continuity
Used here as: Continuity
By: Lawrence Baggett
URL: http://cnx.org/content/m36150/1.2/
Copyright: Lawrence Baggett
License: http://creativecommons.org/licenses/by/3.0/

Module: Functions and Continuity: Continuity and Topology
Used here as: Continuity and Topology
By: Lawrence Baggett
URL: http://cnx.org/content/m36152/1.2/
Copyright: Lawrence Baggett
License: http://creativecommons.org/licenses/by/3.0/

Module: Functions and Continuity: Deeper Analytic Properties of Continuous Functions
Used here as: Deeper Analytic Properties of Continuous Functions
By: Lawrence Baggett
URL: http://cnx.org/content/m36167/1.2/
Copyright: Lawrence Baggett
License: http://creativecommons.org/licenses/by/3.0/

Module: Functions and Continuity: Power Series Functions
Used here as: Power Series Functions
By: Lawrence Baggett
URL: http://cnx.org/content/m36165/1.2/
Copyright: Lawrence Baggett
License: http://creativecommons.org/licenses/by/3.0/

Module: Functions and Continuity: The Elementary Transcendental Functions
Used here as: The Elementary Transcendental Functions
By: Lawrence Baggett
URL: http://cnx.org/content/m36160/1.2/
Copyright: Lawrence Baggett
License: http://creativecommons.org/licenses/by/3.0/

Module: Functions and Continuity: Analytic Functions and Taylor Series
Used here as: Analytic Functions and Taylor Series
By: Lawrence Baggett
URL: http://cnx.org/content/m36168/1.2/
Copyright: Lawrence Baggett
License: http://creativecommons.org/licenses/by/3.0/

Module: Functions and Continuity: Uniform Convergence
Used here as: Uniform Convergence
By: Lawrence Baggett
URL: http://cnx.org/content/m36178/1.2/
Copyright: Lawrence Baggett
License: http://creativecommons.org/licenses/by/3.0/

Module: Differentiation, Local Behavior E^iπ = -1.
By: Lawrence Baggett
URL: http://cnx.org/content/m36173/1.2/
Copyright: Lawrence Baggett
License: http://creativecommons.org/licenses/by/3.0/

Module: Differentiation, Local Behavior: The Limit of a Function
Used here as: The Limit of a Function
By: Lawrence Baggett
URL: http://cnx.org/content/m36185/1.2/
Copyright: Lawrence Baggett
License: http://creativecommons.org/licenses/by/3.0/

Module: Differentiation, Local Behavior: The Derivative of a Function
Used here as: The Derivative of a Function
By: Lawrence Baggett
URL: http://cnx.org/content/m36186/1.2/
Copyright: Lawrence Baggett
License: http://creativecommons.org/licenses/by/3.0/

Module: Differentiation, Local Behavior: Consequences of Differentiability, the Mean Value Theorem
Used here as: Consequences of Differentiability, the Mean Value Theorem
By: Lawrence Baggett
URL: http://cnx.org/content/m36203/1.2/
Copyright: Lawrence Baggett
License: http://creativecommons.org/licenses/by/3.0/

Module: Differentiation, Local Behavior: The Exponential and Logarithm Functions
Used here as: The Exponential and Logarithm Functions
By: Lawrence Baggett
URL: http://cnx.org/content/m36199/1.2/
Copyright: Lawrence Baggett
License: http://creativecommons.org/licenses/by/3.0/

Module: Differentiation, Local Behavior: The Trigonometric and Hyperbolic Functions
Used here as: The Trigonometric and Hyperbolic Functions
By: Lawrence Baggett
URL: http://cnx.org/content/m36196/1.2/
Copyright: Lawrence Baggett
License: http://creativecommons.org/licenses/by/3.0/

Module: Differentiation, Local Behavior: L'Hopital's Rule
Used here as: L'Hopital's Rule
By: Lawrence Baggett
URL: http://cnx.org/content/m36201/1.2/
Copyright: Lawrence Baggett
License: http://creativecommons.org/licenses/by/3.0/

Module: Differentiation, Local Behavior: Higher Order Derivatives
Used here as: Higher Order Derivatives
By: Lawrence Baggett
URL: http://cnx.org/content/m36192/1.2/
Copyright: Lawrence Baggett
License: http://creativecommons.org/licenses/by/3.0/

Module: Differentiation, Local Behavior: Taylor Polynomials and Taylor's Remainder Theorem
Used here as: Taylor Polynomials and Taylor's Remainder Theorem
By: Lawrence Baggett
URL: http://cnx.org/content/m36204/1.2/
Copyright: Lawrence Baggett
License: http://creativecommons.org/licenses/by/3.0/

Module: Differentiation, Local Behavior: The General Binomial Theorem
Used here as: The General Binomial Theorem
By: Lawrence Baggett
URL: http://cnx.org/content/m36205/1.2/
Copyright: Lawrence Baggett
License: http://creativecommons.org/licenses/by/3.0/

Module: Differentiation, Local Behavior: More on Partial Derivatives
Used here as: More on Partial Derivatives
By: Lawrence Baggett
URL: http://cnx.org/content/m36206/1.2/
Copyright: Lawrence Baggett
License: http://creativecommons.org/licenses/by/3.0/

Module: Integration, Average Behavior A=π r^2
By: Lawrence Baggett
URL: http://cnx.org/content/m36207/1.2/
Copyright: Lawrence Baggett
License: http://creativecommons.org/licenses/by/3.0/

Module: Integration, Average Behavior: Integrals of Step Functions
Used here as: Integrals of Step Functions
By: Lawrence Baggett
URL: http://cnx.org/content/m36208/1.2/
Copyright: Lawrence Baggett
License: http://creativecommons.org/licenses/by/3.0/

Module: Integration, Average Behavior: Integrable Functions
Used here as: Integrable Functions
By: Lawrence Baggett
URL: http://cnx.org/content/m36209/1.2/
Copyright: Lawrence Baggett
License: http://creativecommons.org/licenses/by/3.0/

Module: Integration, Average Behavior: The Fundamental Theorem of Calculus
Used here as: The Fundamental Theorem of Calculus
By: Lawrence Baggett
URL: http://cnx.org/content/m36210/1.2/
Copyright: Lawrence Baggett
License: http://creativecommons.org/licenses/by/3.0/

Module: Integration, Average Behavior: Consequences of the Fundamental Theorem
Used here as: Consequences of the Fundamental Theorem
By: Lawrence Baggett
URL: http://cnx.org/content/m36211/1.2/
Copyright: Lawrence Baggett
License: http://creativecommons.org/licenses/by/3.0/

Module: Integration, Average Behavior: Area of Regions in the Plane
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