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
Practical mathematics
The aim of this book has been to illustrate the use of mathematics in constructing diagrams, in measuring areas, volumes, strengths of materials, in calculating latitudes and longitudes on the earth's surface, and in solving similar problems. One great branch of Practical Mathematics, that dealing with electricity and magnetism, has not been included in this book.
Author(s): Knott, Cargill Gilston; Mackay, J. S. (John Sturgeon)
652 Pages 
This note explains the following topics: basic graph theory to advanced concepts like Ramsey theorys and progresses through counting techniques, generating functions and structures like trees and set it also discusses graph theory topics such as chromatic numbers and Turans theorem and addresses intersection problems and important theorems like Erdos Ko Rado and Halls marriage theorem.
Author(s): David Galvin, University of Notre Dame
157 Pages
Basic Mathematics by Sachin Kaushal
This note contains the following topics: Trigonometric Functions I, Trigonometric Functions II, Matrix, Determinants, Equations of Straight Lines, Functions, Limits, Continuity, Logarithmic Differentiation, Parametric Differentiation, Successive Differentiation, Maxima and Minima, Business Applications of Maxima and Minima.
Author(s): Dr. Sachin Kaushal, Lovely Professional University Phagwara
378 Pages
Contemporary Mathematics by Donna Kirk
This PDF book covers the following topics related to Contemporary Mathematics :Sets, Logic, Real Number Systems and Number Theory, Number Representation and Calculation, Algebra, Money Management, Probability, Statistics, Metric Measurement, Geometry, Voting and Apportionment, Graph Theory, Math and Art.
Author(s): Donna Kirk
1575 Pages
Lecture Notes On Mathematical Methods
The objective of this note is to survey topics in mathematics, including multidimensional calculus, ordinary differential equations, perturbation methods, vectors and tensors, linear analysis, linear algebra, and non-linear dynamic systems.
Author(s): Mihir Sen and Joseph M. Powers
502 Pages
An Introduction to Mathematics by Alfred North Whitehead
This note covers the following topics: The Abstract Nature Of Mathematics, Variables, Methods Of Application, Dynamics, The Symbolism Of Mathematics, Generalizations Of Number,imaginary Numbers, Coordinate Geometry, Conic Sections, Functions,periodicity In Nature,trigonometry, series ,the Differential Calculus, Geometry, quantity.
Author(s): Alfred North Whitehead
228 Pages
Online Lecture Notes on Mathematics
Goal of this note is to provide free educational resources to anyone around the world that wishes to deeply master Mathematics. Topics covered includes: Intermediate Algebra, Precalculus, Math for Electrical Engineers, Mathematics Proof, Linear Algebra, Discrete Structures, Ordinary Differential Equations, Mathematical Modeling.
Author(s): Dr. Eleftherios Gkioulekas
NA Pages
Engineering Maths by Conor Houghton
This note explains the following topics: Vector Calculus, Iterated integrals, Fourier series and transforms, Ordinary Differential Equations, Parceval's Theorem, Partial Differential Equations.
Author(s): Conor Houghton
NA Pages
Mathematics Lecture Notes by NPTEL
This note covers the following topics: Numbers, functions, and sequences, Limit and continuity, Differentiation, Maxima, minima and curve sketching, Approximations, Integration, Logarithmic and exponential functions, Applications of Integration, Series of numbers and functions, Limit and continuity of scalar fields, Differentiation of scalar fields, Maxima and minima for scalar fields, Multiple Integration, Vector fields, Stokes’ theorem and applications.
Author(s): NPTEL
NA Pages
The Foundations of Mathematics
This book describes some basic ideas in set theory, model theory, proof theory and recursion theory, these are all parts of what is called mathematical logic. Topics covered includes: Set Theory, Induction and Recursion on the Ordinals, Cardinal Arithmetic, Model Theory and Proof Theory, First-Order Logic Semantics, Formal Proofs, Elementary Submodels and Recursion Theory.
Author(s): Kenneth Kunen
148 Pages
An Introduction to Higher Mathematics
This note explains the following topics: Logical Operations, De Morgan’s Laws, Families of Sets, Equivalence Relations, Direct Proofs, Number Theory, Wilson’s Theorem and Euler’s Theorem, Quadratic Residues, Functions, Injections and Surjections, Cardinality and Countability
Author(s): Patrick Keef, David Guichard with modifications by Russ Gordon
142 Pages
Advanced High School Mathematics
This note explains the following topics: Advanced Euclidean Geometry, Discrete Mathematics, Inequalities and constrained extrema, Abstract algebra, Series and Differential Equations, Inferential statistics.
Author(s): David B Surowski
435 Pages
This book explains the following topics: Linear Algebra, Matrices, Linear System of Equations, Finite Dimensional Vector Spaces, Linear Transformations, Inner Product Spaces, Eigenvalues, Eigenvectors and Diagonalization, Ordinary Differential Equation, Laplace Transform, Numerical Applications, Newton’s Interpolation Formulae, Lagrange’s Interpolation Formula and Numerical Differentiation and Integration.
Author(s): Peeyush Chandra, A. K. Lal, V. Raghavendra, G. Santhanam
255 Pages
The aim of this book has been to illustrate the use of mathematics in constructing diagrams, in measuring areas, volumes, strengths of materials, in calculating latitudes and longitudes on the earth's surface, and in solving similar problems. One great branch of Practical Mathematics, that dealing with electricity and magnetism, has not been included in this book.
Author(s): Knott, Cargill Gilston; Mackay, J. S. (John Sturgeon)
652 Pages
Higher Mathematics For Engineers And Physicists
This book is considered as a great reference book for beginners. The chief purpose of the book is to help to bridge the gap which separates many engineers from mathematics by giving them a bird's-eye view of those mathematical topics which are indispensable in the study of the physical sciences.
Author(s): Ivan Sokolnikoff and Elizabeth Sokolnikoff
537 Pages