Supplementary mathematics/Definition

بسم الله الرحمن الرحيم Welcome to the Wikibook of SUPPLEMENTARY MATHEMATICS """This book is currently being designed for its introduction, and after the completion of the introductions, we will add the rest of the information to the others."

Definition
This book is a guide for those interested in mathematics, which presents an advanced and complementary type of mathematics. In this book, we discuss advanced topics such as calculations, analysis, geometry, etc., and general topics such as the branches of mathematics. This book is different from basic math, basic math teaches basic concepts and teaches math in simple language. The concept of advanced mathematics means to present complex and advanced concepts, it means that extensive concepts are also included with them. This ebook will help you with advanced and extensive and important concepts of mathematics.

Introduction

 * 1) Introduction

List of research topics

 * 1) Mathematics
 * 2) Calculus
 * 3) geometry
 * 4) Discrete mathematics
 * 5) Statistics and Probability
 * 6) Mathematics analysis

Mathematics

 * 1) Philosophy of mathematics
 * 2) Mathematics awards
 * 3) History of mathematics
 * 4) Mathematics Olympiad
 * 5) Applied mathematics
 * 6) pure mathematics
 * 7) Computational mathematics
 * 8) Engineering Mathematics
 * 9) branches of mathematics

Calculus

 * 1) Differential calculus
 * 2) Integral calculus
 * 3) Integral of Fourier
 * 4) Fourier series
 * 5) Fourier convert
 * 6) Laplace's equation
 * 7) Laplace transform
 * 8) Differential equation
 * 9) Trigonometry
 * 10) Spherical Trigonometry
 * 11) function (mathematics)
 * 12) Logarithm
 * 13) Logarithmic function
 * 14) Show function
 * 15) Linear equation
 * 16) Algebra and equation
 * 17) Limit of the function
 * 18) continuity of the function
 * 19) Infinite limit
 * 20) finite limit
 * 21) derivative
 * 22) Volume integral
 * 23) Surface integral
 * 24) multiple integral
 * 25) Line element
 * 26) Volume element
 * 27) trigonometric functions
 * 28) Inverse trigonometric functions
 * 29) religious test
 * 30) Etihad Parswal
 * 31) Gibbs phenomenon
 * 32) Integrating part by part
 * 33) Triangular and square wave
 * 34) Dirichlet's integral
 * 35) Anti-derivative
 * 36) Integral of logarithmic
 * 37) Binomial expansion
 * 38) derivative of logarithmic
 * 39) Integration of Fourier series
 * 40) Derivation of Fourier series

Geometry

 * 1) Spatial geometry
 * 2) Differential geometry
 * 3) Area and volume
 * 4) Regular polygon
 * 5) Conical section
 * 6) Riemannian geometry
 * 7) Analytic geometry
 * 8) Algebraic geometry
 * 9) Euclidean geometry
 * 10) Non-Euclidean geometry
 * 11) Internal and external angle
 * 12) Spherical coordinate system
 * 13) Cylindrical coordinate system
 * 14) Cube
 * 15) Charter
 * 16) Cylinder
 * 17) Sphere
 * 18) Pyramid
 * 19) Cone
 * 20) Spherical sector
 * 21) Rotation
 * 22) Parallelepiped
 * 23) Polyhedron
 * 24) octahedron
 * 25) Torus
 * 26) Rotation
 * 27) Central angle
 * 28) Circumferential angle
 * 29) Shadow angle
 * 30) Spatial angle
 * 31) Sector
 * 32) radians
 * 33) Gradient
 * 34) Spherical wedge
 * 35) Spherical piece
 * 36) anti-prism
 * 37) Incomplete pyramid
 * 38) Thales theorem
 * 39) Internal and external multiplication
 * 40) Vectors
 * 41) Spheroid
 * 42) Ellipsoid

Discrete mathematics

 * 1) Theory of sets
 * 2) logic (the study of reasoning)
 * 3) Number Theory
 * 4) Combinations
 * 5) Graph Theory
 * 6) Digital geometry
 * 7) Digital topology
 * 8) Algorithmology
 * 9) Information theory
 * 10) Theory of computability
 * 11) Complexity theory
 * 12) Fundamental probability theory
 * 13) Markov chain theory
 * 14) Linear Algebra
 * 15) Partially ordered collection
 * 16) Possibilities
 * 17) proof (mathematics)
 * 18) count
 * 19) Polynomial long division
 * 20) Binary relationship
 * 21) Latin square
 * 22) Binomial expansion

Statistics and Probability

 * 1) Classification of data
 * 2) Law of total probability
 * 3) Average
 * 4) Diagrams
 * 5) Statistics variables
 * 6) Inferential statistics
 * 7) Descriptive Statistics
 * 8) Number of possible modes
 * 9) Independent events
 * 10) Conditional probability
 * 11) Collection and probability
 * 12) Sample space
 * 13) Society and example
 * 14) Complementary event
 * 15) Discrete probability distribution
 * 16) Mathematical Statistics
 * 17) Algebraic statistics
 * 18) Bayes law of probability
 * 19) statistical model
 * 20) Algebraic probability

Mathematics analysis

 * 1) Real analysis
 * 2) Mixed analysis
 * 3) Functional analysis
 * 4) Harmonic analysis
 * 5) Complex analysis
 * 6) numerical analysis
 * 7) Vector analysis

Builder's joint account

 * User:Germany Poul Ah
 * User:Mohammad.Hosein.J.Shia
 * User:‬FDVDBFNDBSW2552

other
fa:نگاهی به ریاضیات پیشرفته
 * user:Kittycataclysm
 * user:mathXplore