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 of mathematics: Real Numbers, Exponents,
Algebraic Expression, Rational Expressions, Equations, Inequalities, Coordinate Geometry, Lines, Functions and Trigonometry.
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.
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.
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 explains the
following topics: Vector Calculus, Iterated integrals, Fourier series and
transforms, Ordinary Differential Equations, Parceval's Theorem, Partial
Differential Equations.
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 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.
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.
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.
This note explains the
following topics: Advanced Euclidean Geometry, Discrete Mathematics,
Inequalities and constrained extrema, Abstract algebra, Series and Differential
Equations, Inferential statistics.
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)
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.