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
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.
Author(s): William Chen, Xuan Duong
This PDF covers the following topics related to Advanced Mathematics : Sets, Logic, Counting Finite Sets, Numbers, Inequalities and Rings, Number Theory, Fundamentals of Proof , Induction, Relations and Functions, Applications.
Author(s): Pete L. Clark
This PDF Lectures covers the following topics related to Basic Mathematics : Basic Skills, Linear Algebra, Differentiation and Integration, Complex Numbers, Error analysis.
Author(s): University of Leeds
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.
Author(s): Denny Burzynski,Wade Ellis
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
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
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
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
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.
Author(s): Prof. Peter Magyar
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
In Additive Number Theory we study subsets of integers and their behavior under addition. Topics covered includes:Lower Bound on Sumset, Erdos conjecture on arithmetic progressions, Szemeredi theorem, Algorithm to find Large set with 3-term AP, Condition for a set not having 3-term AP, Cardinality of set with no 3-term AP, Improved Size of A, Sum Free Sets and Prime number theorem.
Author(s): R. Balasubramanian
This note covers the following topics: Numerical Method, Numerical Integration, Numerical Solution Of Differential Equation, Optimization, Graphical Method, Visual Representation Of Different Cases Of Solution Of LPP, Big-m Method, Probability, Vector Algebra In 2-space And 3-space, Vector Differential Calculus, Basic Definitions, Gradient Of A Scalar Field, Physical Interpretation Of Divergence and Curl Of A Vector Field, Laplace Transforms, Differentiation and Integration Of Transforms, Odes With Variable Coefficients, Discrete Mathematical Structures, Partial Differential Equation, Limit Of Function.
Author(s): VSS University of Technology
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
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
It is one of a small number of texts intended to give you, the reader, a feeling for the theory and applications of contemporary mathematics at an early stage in your mathematical studies. Topics covered includes: Number theory and its application to cryptography, A Hierarchy of Infinities, Dynamical Processes, Chaos and Fractals, Geometry and Topology.
Author(s): John Hutchinson
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
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)
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
These are the sample pages from the textbook, 'Mathematics Reference Book for Scientists and Engineers'. Fundamental principles are reviewed and presented by way of examples, figures, tables and diagrams. It condenses and presents under one cover basic concepts from several different applied mathematics topics.
Author(s): John Henry Heinbockel