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
Applied Mathematics Body and Soul
This book explains the following topics: Introduction to Modeling, Natural Numbers and Integers, Mathematical Induction, Rational Numbers, Pythagoras and Euclid, Polynomial functions, Combinations of functions, Lipschitz Continuity, Sequences and limits, The Square Root of Two, Real numbers, Fixed Points and Contraction Mappings, Complex Numbers, The Derivative, Differentiation Rules, Newton’s Method, Galileo, Newton, Hooke, Malthus and Fourier.
Author(s): Kenneth Eriksson, Don Estep and Claes Johnson
466 Pages 
This note covers introduction to pure mathematics, Number theory, Functions and relations, Graph theory and group theory.
Author(s): Tom Coleman
126 Pages
This PDF Lecture covers the following topics related to Applied Mathematics : Number Theory, Prime Number Ratio, Proportion and Logarithms, Interpretatlysis of Data, Commercial Mathematics, Set Theory Unit 6: Relation and Function, Algebra Complex Number, Sequence and Series, Permutations and Combinations, Trigonometry.
Author(s): cbse
148 Pages
Introduction to Applied Mathematics
This PDF Lecture covers the following topics related to Applied Mathematics : Introduction - What is Applied Mathematics, Dimensional Analysis and Scaling, Asymptotic analysis, Perturbation Methods, Asymptotic Expansion of Integrals, Functional Analysis - A Crash Course, Calculus of Variations, Orthogonal Expansions, Sturm Liouville Problem.
Author(s): Jan Glaubitz
90 Pages
This note explains the following topics: Mathematics in Design, Mathematics and Measurements, Statistics and Probability, Differential and Integral Calculus, Trigonometry.
Author(s): Sathyabama Institute of Science and Technology
122 Pages
Mathematics for Computer Scientists
This note covers the following topics: Types and sets, Basic logic, Classical tautologies, Natural numbers, Primitive recursion, Inductive types, Predicates and relations, Subset and Quotients, Functions.
Author(s): Thorsten Altenkirch
71 Pages
Selected Topics in Applied Mathematics
These are notes on various topics in applied mathematics.Major topics covered are: Differential Equations, Qualitative Analysis of ODEs, The Trans-Atlantic Cable, The Laplace Transform and the Ozone Layer, The Finite Fourier Transform, Transmission and Remote Sensing, Properties of the Fourier Transform, Transmission Tomography,The ART and MART, Vectors,A Brief History of Electromagnetism, Changing Variables in Multiple Integrals, Kepler’s Laws of Planetary Motion, Green’s Theorem, Complex Analysis, The Quest for Invisibility, Calculus of Variations, Bessel’s Equations, Hermite’s Equations and Quantum Mechanics.
Author(s): Charles L. Byrne
330 Pages