An Introduction to Mathematics by Alfred North Whitehead
An Introduction to Mathematics by Alfred North Whitehead
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.
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.
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
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 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.
This PDF Lectures covers the
following topics related to Basic Mathematics : Basic Skills, Linear Algebra,
Differentiation and Integration, Complex Numbers, Error analysis.
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.
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.
This note explains the
following topics: Vector Calculus, Iterated integrals, Fourier series and
transforms, Ordinary Differential Equations, Parceval's Theorem, Partial
Differential Equations.