Mathematics

 
mathematics banner 4Mathematics is a discipline that deals with the study of numbers, quantities, and shapes.  It involves using logical reasoning and critical thinking to solve problems and develop theories.  Mathematics can be divided into many different areas, including algebra, arithmetic, calculus, geometry, statistics, trigonometry, and number theory.  Each of these areas has its own concepts and techniques, and they can be applied in a wide range of fields, from physics and engineering to economics and computer science.

Mathematics plays a fundamental role in many aspects of modern society, from finance and business to medicine and technology.  It provides the tools and techniques needed to analyze and understand complex systems, and to develop solutions to real-world problems.

Mathematics is also a highly abstract and creative field, with a rich history of exploration and discovery.  Mathematicians are constantly pushing the boundaries of knowledge, developing new theories and concepts that deepen our understanding of the natural world.  Overall, mathematics is a fascinating and essential discipline that plays a critical role in advancing our understanding of the world and in developing new technologies that improve our lives.  It is a field that requires curiosity, creativity, and analytical thinking, and it offers endless opportunities for exploration and discovery.

Major Branches of Mathematics

  • Applied Mathematics  -  Applies programs that typically involve a wider range of study to problems that arise in various areas.
  • Pure Mathematics  -  The study of mathematical concepts independently of any application outside matnematics.
  • Foundations Mathematics  -  The study of philosophical and logical.

 

Science Branches

Science
Formal Science
Mathematics
Applied Mathematics Pure Mathematics Foundation Mathematics
  • Approximation Theory
  • Mathematical Statistics
    • Actuarial Science
    • Demography
    • Econometrics
    • Probability
  • Numerical Analysis
  • Optimization
    • Linear Programming
    • Operations Research
  • Dynamical Systems
    • Chaos Theory
    • Fractal Geometry
  • Mathematical Physics
    • Quantum Field Theory
    • Statistical Mechanics
  • Information Theory
  • Combinatorics
    • Coding Theory
  • Computational Statistics
  • Cryptography
  • Statistics
    • Computational Statistics
  • Algebra
    • Abstract Algebra
    • Associative Algebra
    • Category Theory
    • Differential Algebra
    • Elementary Algebra
    • Group Theory
    • Homological Algebra
    • Field Theory
    • Lattice Theory
      • Order Theory
    • Lie Algebra
    • Linear Algebra
    • Multilinear Algebra
    • Non-associative Algebra
    • Ring Theory
    • Universal Algebra
  • Analysis
    • Complex Analysis
    • Functional Analysis
      • Operator Theory
    • Harmonic Analysis
    • Non-standard Analysis
    • Ordinary Differential Equation
    • p-adic Analysis
    • Real Analysis
      • Calculus
  • Probability Theory
    • Ergodic Theory
    • Measure Theory
    • Stochastic Process
  • Arithmetic
  • Geometry
    • Affine Geometry
    • Algebraic Geometry
    • Algebraic Topology
    • Analytic Geometry
    • Convex Geometry
    • Differential Geometry
    • Differential Topology
    • Discrete Geometry
    • Euclidean Geometry
    • General Topology
    • Geometric Topology
    • Non-Euclidean Geometry
    • Projective Geometry
    • Topology
  • Number Theory
    • Algebraic Number Theory
    • Analytic Number Theory
    • Computational Number Theory
    • Geometric Number Theory
  • Trigonometry
  • Intuitionistic Logic
  • Modal Logic
  • Model Theory
  • Proof Theory
  • Recursion Theory
  • Set Theory

 

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