Technical Books

This note explains the following topics, Logical Operations, De Morgans Laws, Families of Sets, Equivalence Relations, Direct Proofs, Number Theory, Wilsons Theorem and Eulers Theorem, Quadratic Residues, Functions, Injections and Surjections, Cardinality and Countability

This note covers the following topics, Volumes, Work, Inverse functions, Natural Logarithm Function, Natural Exponential and Logarithm, Exponential Growth and Decay, Inverse Trigonometric Functions, Hyperbolic Functions, Integration by Parts, Trig Integrals, Partial Fractions, Improper integrals, Method for Integration, Arc Length, Sequences, Series, Integral Test, Comparison Tests, Method for Convergence Testing, Power Series, Taylor Series, Parametric Curves, Parametric Calculus, Polar Coordinates, Polar Areas and Lengths.

This note explains the following topics, Vector Calculus, Iterated integrals, Fourier series and transforms, Ordinary Differential Equations, Parcevals Theorem, Partial Differential Equations.

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.

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.

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 nonlinear dynamic systems.

This note covers the following topics, Addition and Subtraction of Whole Numbers, Multiplication and Division of Whole Numbers, Exponents, Roots, and Factorization of Whole Numbers, Introduction to Fractions and Multiplication and Division of Fractions, Addition and Subtraction of Fractions, Comparing Fractions, and Complex Fractions, Decimals, Ratios and Rates, Techniques of Estimation, Measurement and Geometry, Signed Numbers, Algebraic Expressions and Equations.

This page covers the following topics related to Elementary Mathematics, Basic Algebra, Introduction to Matrices, Trigonometry, Indices and Logarithms, Polynomial Equations, Inequalities and Absolute Values, Progressions, Elementary Counting Techniques, Complex Numbers, Functions and Lines, Introduction to Differentiation, Further Techniques of Differentiation, Applications of Differentiation, Introduction to Integration.

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.

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.

This book explains the inherent conceptual difficulties in the learning of algebra and the artificial difficulties created by human errors.

This lecture note discusses unique factorization and the modern theory of rings and their ideals, emphasizing Euclidean domains. Other algebraic structures groups, fields also are introduced.

This is a set of lecture notes on introductory school algebra written for middle school teachers. Topics covered includes, Symbolic Expressions, Transcription of Verbal Information into Symbolic Language, Linear Equations in One Variable, Linear Equations in Two Variables and Their Graphs, Simultaneous Linear Equations, Functions and Their Graphs, Linear functions and proportional reasoning, Linear Inequalities and Their Graphs, Exponents, Quadratic Functions and Their Graphs, The Quadratic Formula and Applications.

This note covers the following topics, Symbolic Expressions, Transcription of Verbal Information into Symbolic Language, Linear Equations in One Variable, Linear Equations in Two Variables and Their Graphs, Simultaneous Linear Equations, Functions and Their Graphs, Linear functions and proportional reasoning, Linear Inequalities and Their Graphs, Exponents, Quadratic Functions and Their Graphs, The Quadratic Formula and Application.

This note describes the following topics, Functions and Their Graphs, Intercepts, Zeros, and Solutions, Polynomials and Rational Functions, Systems of Equations and Inequalities, Matrices and Determinants, Sequences and Probability, Conics and Parametric Equations.