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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): Vicky Neale
114 Pages 
Mathematical Analysis Volume I
This book contains below topics, The Real Numbers, Limits of Functions and Continuity, Differentiating Functions of a Single Variable, Integrating Functions of a Single Variable, Infinite Series of Numbers and Infinite Products, Sequences and Series of Functions.
Author(s): Lee-Peng Teo
574 Pages
Mathematical analysis without gaps
This book is a course in mathematical analysis written in Russian. This book contains below topics, Foundations of mathematics, Functions of one real variable, Functions of several real variables.
Author(s): Sergei Akbarov
1259 Pages
Mathematical Analysis Volume II
This book contains below topics, Euclidean Spaces, Limits of Multivariable Functions and Continuity, Continuous Functions on Connected Sets and Compact Sets, Differentiating Functions of Several Variables, The Inverse and Implicit Function Theorems, Multiple Integrals, Fourier Series and Fourier Transforms, Sylvester s Criterion, Volumes of Parallelepipeds, Riemann Integrability.
Author(s): Lee-Peng Teo
650 Pages
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): Anil Tas
90 Pages
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): Donald J. Estep, Department of Mathematics, Colorado State University
79 Pages
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 10week course, the completeness axiom, sequences and convergence, continuity, and differentiation. The lecture notes also contain many wellselected exercises of various levels.
Author(s): Portland State University
NA Pages