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Mathematical Analysis Books

Mathematical Analysis Books

This section contains free e-books and guides on Mathematical Analysis, some of the resources in this section can be viewed online and some of them can be downloaded.

Mathematical Analysis Category

Mathematical Analysis Lecture Notes by Anil Tas

The contents include: The Real And Complex Number Systems, Sets And Functions, Basic Topology, Sequences And Series, Continuity, Sequences And Series Of Functions, Figures.

Author(s):

s 90Pages

Analysis I by Vicky Neale

The contents include: Introduction, Axioms for arithmetic in R, Properties of arithmetic in R, Ordering the real numbers, Inequalities and arithmetic, The modulus of a real number, The complex numbers, Upper and lower bounds, Supremum, infimum and completeness, Existence of roots, More consequences of completeness, Countability, More on countability, Introduction to sequences, Convergence of a sequence, Bounded and unbounded sequences, Complex sequences, Subsequences, Orders of magnitude, Monotonic sequences, Convergent subsequences, Cauchy sequences, Convergence for series, More on the Comparison Test, Ratio Test, Integral Test, Power series, Radius of convergence, Differentiation Theorem.

Author(s):

s 114Pages

Introduction to Analysis by Donald J. Estep

The contents include: Introduction, Metric Spaces, Compactness, Cauchy Sequences in Metric Spaces, Sequences in Rn, Continuous Functions on Metric Spaces, Sequences of Functions.

Author(s):

s 79Pages

Introduction to Mathematical Analysis I

Goal in this set of lecture notes is to provide students with a strong foundation in mathematical analysis. The lecture notes contain topics of real analysis usually covered in a 10-week course: the completeness axiom, sequences and convergence, continuity, and differentiation. The lecture notes also contain many well-selected exercises of various levels.

Author(s):

s NAPages

Mathematical Analysis Volume I by Elias Zakon

This text is an outgrowth of lectures given at the University of Windsor, Canada. Topics covered includes: Set Theory, Real Numbers. Fields, Vector Spaces, Metric Spaces, Function Limits and Continuity, Differentiation and Anti differentiation.

Author(s):

s 365Pages

Introduction To Mathematical Analysis

This book explains the following topics: Some Elementary Logic, The Real Number System, Set Theory, Vector Space Properties of Rn, Metric Spaces, Sequences and Convergence, Cauchy Sequences, Sequences and Compactness, Limits of Functions, Continuity, Uniform Convergence of Functions, First Order Systems of Differential Equations

Author(s):

s 284Pages

The Convenient Setting of Global Analysis

This book covers the following topics: Calculus of smooth mappings, Calculus of holomorphic and real analytic mappings, Partitions of unity, Smoothly realcompact spaces, Extensions and liftings of mappings, Infinite dimensional manifolds, Calculus on infinite dimensional manifolds, Infinite dimensional differential geometry, Manifolds of mappings and Further applications.

Author(s):

s NAPages

Lectures on Entire Functions

Currently this section contains no detailed description for the page, will update this page soon.

Author(s):

s NAPages

Analysis 2 (Tao T)

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Author(s):

s NAPages

Analysis 1 (Tao T)

Currently this section contains no detailed description for the page, will update this page soon.

Author(s):

s NAPages

Mathematical Analysis I(Zakon E)

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Author(s):

s NAPages

Mathematical Methods of Engineering Analysis

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Author(s):

s NAPages

Analytic functions

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Author(s):

s NAPages

Homeomorphisms in Analysis

Currently this section contains no detailed description for the page, will update this page soon.

Author(s):

s NAPages