User:UniversumExNihilo/Books/math

Overview of Mathematics

 * Logical Background
 * Negation
 * Logical disjunction
 * Logical conjunction
 * Material conditional
 * Logical biconditional
 * If and only if
 * Sheffer stroke
 * Exclusive or
 * Rule of inference
 * Tautology (logic)
 * Contradiction
 * Boolean algebra (logic)
 * Propositional calculus
 * List of rules of inference
 * Frege's propositional calculus
 * Paraconsistent logic
 * Ternary logic
 * Quantum logic
 * Element (mathematics)
 * Universal quantification
 * Existential quantification
 * Uniqueness quantification
 * First-order logic
 * Gödel's incompleteness theorems
 * Second-order logic
 * Modal logic
 * Set theory
 * Subset
 * Class (set theory)
 * Equality (mathematics)
 * Inequality
 * Complement (set theory)
 * Union (set theory)
 * Intersection (set theory)
 * Disjoint union
 * Ordered pair
 * Power set
 * Empty set
 * Constructive set theory
 * Zermelo–Fraenkel set theory
 * Axiom of choice
 * Morse–Kelley set theory
 * Von Neumann–Bernays–Gödel set theory
 * Tarski–Grothendieck set theory


 * Simple Math
 * Peano axioms
 * Addition
 * Subtraction
 * Multiplication
 * Natural number
 * Rational number
 * Real number
 * Square root
 * Nth root
 * Logarithm
 * Factorial
 * Division (mathematics)
 * E (mathematical constant)
 * Imaginary unit
 * Complex number
 * Tessarine
 * Quaternion
 * Octonion
 * Sedenion
 * Cayley–Dickson construction
 * Multicomplex number
 * Split-octonion


 * Algebra
 * Elementary algebra
 * Scalar (mathematics)
 * Matrix (mathematics)
 * Matrix addition
 * Matrix multiplication
 * Determinant
 * Cauchy–Binet formula
 * System of linear equations
 * Identity matrix
 * Binomial coefficient
 * Linear algebra
 * Polynomial
 * Quadratic equation


 * Cardinal
 * Cardinal number


 * Calculus
 * Algebraic geometry
 * Matrix calculus
 * Coordinate vector


 * Groups
 * Symmetric space
 * Finite field
 * Field (mathematics)
 * Euclidean domain
 * Principal ideal domain
 * Unique factorization domain
 * Integrality
 * Integral domain
 * Commutative ring