Abstract Algebra Algebra Algebraic Geometry Algebraic Topology Applied Mathematics Arithmetic Geometry Basic Algebra Basic Mathematics Calculus Category Theory Classical Analysis Combinatorics Commutative Algebra Complex Algebra Complex Analysis Differential Algebra Differential Analysis Differential Calculus Differential Equations Differential Geometry Differential Topology Discrete Mathematics Elliptic Curves Fourier Analysis Functional Analysis Fractals Fractional Calculus Geometric Algebra Geometry Geometric Topology Groups Theory Graph Theory Harmonic Analysis Higher Algebra History of Mathematics Homological Algebra Integral Calculus K-theory Lie Algebra Linear Algebra Mathematical Analysis Mathematical Series Modern Geometry Multivairable Calculus Number Theory Numerical Analysis Probability Theory Real Analysis Rings and Fileds Riemannian Geometry Theorems in Calculus Topology Trigonometry Set Theory Constants & Numerical Sequences
This note explains the following topics: preliminaries, The real numbers, Sequences and series, Complex numbers.
Author(s): Abdul Rof V, Calicut University
129Pages
This note covers Basic concepts in mathematical analysis and some complements, Real numbers and ordered fields, Cardinality, Topologies, Construction of some special functions.
Author(s): Fabio Bagagiolo
122Pages
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
90Pages
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
114Pages
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
79Pages
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): Portland State University
NAPages
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): Elias Zakon
365Pages
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): John E. Hutchinson
284Pages
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): Andreas Kriegl and Peter W. Michor
NAPages
