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

References

  1. References



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