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Morphisms of Algebraic Stacks
Morphisms of Algebraic Stacks

Euler`s Elegant Equation - University of Hawaii Mathematics
Euler`s Elegant Equation - University of Hawaii Mathematics

Algebraic semantics for predicate logics and their completeness
Algebraic semantics for predicate logics and their completeness

... Algebraic semantics for nonclassical propositional logics provides us a powerful tool in studying logical properties which are common among many logics. In fact, it has been producing a lot of interesting general results by the help of universal algebraic methods. On the other hand, it seems that th ...
Affine group schemes over symmetric monoidal categories
Affine group schemes over symmetric monoidal categories

Incidence structures I. Constructions of some famous combinatorial
Incidence structures I. Constructions of some famous combinatorial

MATH10040 Chapter 3: Congruences and the Chinese Remainder
MATH10040 Chapter 3: Congruences and the Chinese Remainder

Chapter 4.4: Systems of Congruences
Chapter 4.4: Systems of Congruences

Folding and unfolding in periodic difference equations
Folding and unfolding in periodic difference equations

MATH10040 Chapter 3: Congruences and the Chinese Remainder
MATH10040 Chapter 3: Congruences and the Chinese Remainder

Chapter 5. Decimals
Chapter 5. Decimals

Stanford University Educational Program for Gifted Youth (EPGY
Stanford University Educational Program for Gifted Youth (EPGY

Student_Solution_Chap_02
Student_Solution_Chap_02

Congruences and Modular Arithmetic
Congruences and Modular Arithmetic

arXiv:1510.01797v3 [math.CT] 21 Apr 2016 - Mathematik, Uni
arXiv:1510.01797v3 [math.CT] 21 Apr 2016 - Mathematik, Uni

Behavioral Algebraization of Logics
Behavioral Algebraization of Logics

... equality of two hidden values. Hence, equational logic needs to be replaced by behavioral equational logic (sometimes called hidden equational logic) based on the notion of behavioral equivalence. Two values are said to behaviorally equivalent if they cannot be distinguished by the set of all experi ...
Congruences
Congruences

Solutions to Practice Midterm 2
Solutions to Practice Midterm 2

Noncommutative geometry @n
Noncommutative geometry @n

Graph each function. Compare to the parent graph. State the domain
Graph each function. Compare to the parent graph. State the domain

Hovhannes Khudaverdian's notes
Hovhannes Khudaverdian's notes

... In 1824 Abel proved that there is no formula expressing roots of polynomial equation of the order n ≥ 5 in terms of coefficients and a finite number of arithmetical operations ”+”, ”-”, ”×”, ”:” and n-th roots. But what about a given polynomial equation of the order n ≥ 5 Abel Theorem states that ro ...
Solutions to Exercises, Section 3.3
Solutions to Exercises, Section 3.3

Section 6.3 Annihilator Method
Section 6.3 Annihilator Method

On Brauer Groups of Lubin
On Brauer Groups of Lubin

abstract algebra: a study guide for beginners
abstract algebra: a study guide for beginners

A Book of Abstract Algebra
A Book of Abstract Algebra

1 2 3 4 5 ... 277 >

History of algebra

As a branch of mathematics, algebra emerged at the end of 16th century in Europe, with the work of François Viète. Algebra can essentially be considered as doing computations similar to those of arithmetic but with non-numerical mathematical objects. However, until the 19th century, algebra consisted essentially of the theory of equations. For example, the fundamental theorem of algebra belongs to the theory of equations and is not, nowadays, considered as belonging to algebra.This article describes the history of the theory of equations, called here ""algebra"", from the origins to the emergence of algebra as a separate area of mathematics.
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