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Supplementary mathematics

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Welcome to the Wikibook of SUPPLEMENTARY MATHEMATICS center|frameless|400x400pxor You can get in PDF printable version [version]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. After completing the supplementary mathematics book, a new page named sample questions will be designed. After the content is completed, content references will be available to users, viewers and readers. Definition DefinitionThis 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 Introduction List of research topics Mathematics Calculus geometry Discrete mathematics Statistics and Probability Mathematics analysis Mathematics Philosophy of mathematics Mathematics awards History of mathematics Mathematics Olympiad Applied mathematics pure mathematics Computational mathematics Engineering Mathematics branches of mathematics Calculus branchs of calculus Differential calculus Integral calculus integrals Integral of Fourier Linear integral Volume integral Surface integral multiple integral Riemann integral Riemann-Stiltis integral Improper integral Gaussian integral Integral of logarithmic Logarithmic integral function Path integral formulation integral list of dumb functions integral list of exponential functions Integral list of inverse hyperbolic functions Integration by parts Integral list of rational functions Integral list of trigonometric functions Integral list of inverse trigonometric functions List of integrals of hyperbolic functions List of integrals of Gaussian functions List of integrals of logarithmic functions trigonometries Trigonometry Trigonometric functions Spherical Trigonometry Exact trigonometric values Euler's formula Generalized Trigonometry Goniometric function Harty core Greninger diagram List of trigonometric identities Trigonometric integral trigonometric derivative trigonometric rules trigonometric polynomial Formula of half angle of tangent Matrix trigonometric functions Trigonometric tables Unit circle derivatives series Series of math Fourier series Taylor series power series Binomial series Gregoric series Laurent series divergent series Harmonic series Convergent series Geometric series Ramanujan-Sato series derivative derivative Other: Fourier transform Laplace's equation Laplace transform Differential equation function (mathematics) Logarithm Logarithmic function Show function Linear equation Algebra and equation Limit of the function continuity of the function Infinite limit finite limit Line element Volume element Inverse trigonometric functions Dini criterion Etihad Parswal Gibbs phenomenon Triangular and square wave Anti-derivative Binomial expansion derivative of logarithmic Integration of Fourier series Derivation of Fourier series Geometry branches of geometry Spatial geometry Differential geometry Area and volume Regular polygon Conical section Riemannian geometry Analytic geometry Algebraic geometry Euclidean geometry Non-Euclidean geometry Area and volume Coordinate system angles Polymorphisms Topology Geometric algorithms Internal and external angle Cartesian coordinate system Three-dimensional space Spherical coordinate system Cylindrical coordinate system Cube Cuboid Prism Cylinder Sphere Pyramid Cone Spherical sector Rotation Parallelepiped Polyhedron octahedron Torus Rotation Central angle Circumferential angle Shadow angle Spatial angle Sector radians Gradient matrix Spherical wedge Spherical piece anti-prism Incomplete pyramid Thales theorem Internal and external multiplication Vectors Spheroid Ellipsoid Discrete mathematics Theory of sets logic (the study of reasoning) Number Theory Combinations Graph Theory Digital geometry Digital topology Algorithmology Information theory Theory of computability Complexity theory Fundamental probability theory Markov chain theory Linear Algebra Partially ordered collection Possibilities proof (mathematics) count Polynomial long division Binary relationship Latin square Binomial expansion Statistics and Probability Classification of data Law of total probability Average Diagrams Statistics variables Inferential statistics Descriptive Statistics Number of possible modes Independent events Conditional probability Collection and probability Sample space Society and example Complementary event Discrete probability distribution Mathematical Statistics Algebraic statistics Bayes law of probability statistical model Algebraic probability Mathematics analysis Real analysis Mixed analysis Functional analysis Harmonic analysis Complex analysis numerical analysis Vector analysis Analytical analysis General analysis Analysis of Fourier Approximate analysis Non-standard analysis Mathematical principles Addition principle Bloch's principle Cavalieri's principle Clubsuit Combinatorial principles Contraction principle (large deviations theory) Courant minimax principle Diamond principle Dirichlet's principle Duhamel's principle Harnack's principle Hasse principle Hausdorff maximal principle Homotopy principle Hopf lemma Hopf maximum principle Hume's principle Inclusion–exclusion principle Incompressibility method Laplace principle (large deviations theory) Littlewood's three principles of #real analysis Markov's principle Maupertuis's principle Principle of maximum caliber Principle of maximum entropy Maximum modulus principle Maximum principle Method of distinguished element Order-extension principle Phragmén–Lindelöf principle Pigeonhole principle Racetrack principle Reflection principle Rule of product Schwarz reflection principle Splitting principle Square–cube law Tilted large deviation principle Transfer principle Uniform boundedness principle Vopěnka's principle Well-ordering principle References References 25% mathematics Builders Builder's joint account User:Germany Poul Ah User:Mohammad.Hosein.J.Shia User:‬FDVDBFNDBSW2552 other user:Kittycataclysm user:mathXplore fa:نگاهی به ریاضیات پیشرفته