The history of mathematics deals with the origin of discoveries in mathematics and the mathematical methods and notation of the past. Before the modern age and the worldwide spread of knowledge, written examples of new mathematical developments have come to light only in a few locales. From 3000 BC the Mesopotamian states of Sumer, Akkad and Assyria, followed closely by Ancient Egypt and the Levantine state of Ebla began using arithmetic, algebra and geometry for purposes of taxation, commerce, trade and also in the patterns in nature, the field of astronomy and to record time and formulate calendars.
Fra. Luca Bartolomeo de Pacioli was an Italian mathematician, Franciscan friar, collaborator with Leonardo da Vinci, and an early contributor to the field now known as accounting. He is referred to as the father of accounting and bookkeeping and he was the first person to publish a work on the double-entry system of book-keeping on the continent. He was also called Luca di Borgo after his birthplace, Borgo Sansepolcro, Tuscany.
Year 1494 (MCDXCIV) was a common year starting on Wednesday of the Julian calendar.
Double-entry bookkeeping, also known as double-entry accounting, is a method of bookkeeping that relies on a two-sided accounting entry to maintain financial information. Every entry to an account requires a corresponding and opposite entry to a different account. The double-entry system has two equal and corresponding sides, known as debit and credit; this is based on the fundamental accounting principle that for every debit, there must be an equal and opposite credit. A transaction in double-entry bookkeeping always affects at least two accounts, always includes at least one debit and one credit, and always has total debits and total credits that are equal. The purpose of double-entry bookkeeping is to allow the detection of financial errors and fraud.
The plus sign and the minus sign are mathematical symbols used to denote positive and negative functions, respectively. In addition, + represents the operation of addition, which results in a sum, while − represents subtraction, resulting in a difference. Their use has been extended to many other meanings, more or less analogous. Plus and minus are Latin terms meaning "more" and "less", respectively.
A trial balance is an internal financial statement that lists the adjusted closing balances of all the general ledger accounts contained in the ledger of a business as at a specific date. This list will contain the name of each nominal ledger account in the order of liquidity and the value of that nominal ledger balance. Each nominal ledger account will hold either a debit balance or a credit balance. The debit balance values will be listed in the debit column of the trial balance and the credit value balance will be listed in the credit column. The trading profit and loss statement and balance sheet and other financial reports can then be produced using the ledger accounts listed on the same balance.
Benedetto Cotrugli was a Ragusan merchant, economist, scientist, diplomat and humanist.
Lattice multiplication, also known as the Italian method, Chinese method, Chinese lattice, gelosia multiplication, sieve multiplication, shabakh, diagonally or Venetian squares, is a method of multiplication that uses a lattice to multiply two multi-digit numbers. It is mathematically identical to the more commonly used long multiplication algorithm, but it breaks the process into smaller steps, which some practitioners find easier to use.
Scipione del Ferro was an Italian mathematician who first discovered a method to solve the depressed cubic equation.
Divina proportione, later also called De divina proportione is a book on mathematics written by Luca Pacioli and illustrated by Leonardo da Vinci, completed by February 9th, 1498 in Milan and first printed in 1509. Its subject was mathematical proportions and their applications to geometry, to visual art through perspective, and to architecture. The clarity of the written material and Leonardo's excellent diagrams helped the book to achieve an impact beyond mathematical circles, popularizing contemporary geometric concepts and images.
This is a timeline of pure and applied mathematics history. It is divided here into three stages, corresponding to stages in the development of mathematical notation: a "rhetorical" stage in which calculations are described purely by words, a "syncopated" stage in which quantities and common algebraic operations are beginning to be represented by symbolic abbreviations, and finally a "symbolic" stage, in which comprehensive notational systems for formulas are the norm.
The year 1537 in science and technology included many events, some of which are listed here.
Della mercatura e del mercante perfetto written by Benedetto Cotrugli around 1400 was the first bookkeeping manuscript and trade manual. The title has been translated in English by the alternate names of Of commerce and the perfect merchant, On merchantry and the perfect merchant, and On trade and the perfect dealer.
The Portrait of Luca Pacioli is a painting attributed to the Italian Renaissance artist Jacopo de' Barbari, dating to around 1500 and housed in the Capodimonte Museum, Naples, southern Italy. The painting portrays the Renaissance mathematician Luca Pacioli and may have been painted by his collaborator Leonardo da Vinci. The person on the right has not been identified conclusively, but could be the German painter Albrecht Dürer, whom Barbari met between 1495 and 1500.
De arte supputandi libri quattuor was the first printed work on arithmetic published in England. Published in 1522, it was written by Cuthbert Tunstall, Bishop of London, and based on Luca Pacioli's Summa de arithmetica, geometria, proportioni et proportionalità. It is dedicated to Sir Thomas More.
The history of accounting or accountancy can be traced to ancient civilizations.
Paganino Paganini, was an Italian printer and publisher from the Republic of Venice during the Renaissance. He was the original publisher of Luca Pacioli's mathematical works, Summa de arithmetica and De divina proportione, and of what is thought to be the first printed version of the Quran in Arabic.
Juan Andres was a 16th-century priest and mathematician known by his book on arithmetics.
Giuseppina Masotti Biggiogero was an Italian mathematician and historian. Known for her work in algebraic geometry, she also wrote noted histories of mathematicians, like Maria Gaetana Agnesi and Luca Pacioli. She was a member of the Lombard Institute Academy of Science and Letters and won both the Bordoni Prize and Torelli Prize for her work.
De quinque corporibus regularibus is a book on the geometry of polyhedra written in the 1480s or early 1490s by Italian painter and mathematician Piero della Francesca. It is a manuscript, in the Latin language; its title means [the little book] on the five regular solids. It is one of three books known to have been written by della Francesca.
