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Institutionum Calculi Integralis
''Institutiones calculi integralis'' (''Foundations of integral calculus'') is a three-volume textbook written by Leonhard Euler and published in 1768. It was on the subject of integral calculus In mathematics, an integral is the continuous analog of a sum, which is used to calculate areas, volumes, and their generalizations. Integration, the process of computing an integral, is one of the two fundamental operations of calculus,Int ... and contained many of Euler's discoveries about differential equations.It was written after "Institutiones calculi differentialis" (1755) and "Introductio in analysin infinitorum" (1748) See also * '' Institutiones calculi differentialis'' External links Full textavailable from Archive.org. Full text (1768)available from books.google.com. provides a complete English translation of Euler's Institutiones calculi integralis by Ian Bruce. German translation''Vollständige Anleitung zur Integralrechnung'' (1828) available from e-rara.ch. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Euler Inst Calc Int Vol1
Leonhard Euler ( ; ; ; 15 April 170718 September 1783) was a Swiss polymath who was active as a mathematician, physicist, astronomer, logician, geographer, and engineer. He founded the studies of graph theory and topology and made influential discoveries in many other branches of mathematics, such as analytic number theory, complex analysis, and infinitesimal calculus. He also introduced much of modern mathematical terminology and Mathematical notation, notation, including the notion of a mathematical function. He is known for his work in mechanics, fluid dynamics, optics, astronomy, and music theory. Euler has been called a "universal genius" who "was fully equipped with almost unlimited powers of imagination, intellectual gifts and extraordinary memory". He spent most of his adult life in Saint Petersburg, Russia, and in Berlin, then the capital of Kingdom of Prussia, Prussia. Euler is credited for popularizing the Greek letter \pi (lowercase Pi (letter), pi) to denote Pi, th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Textbook
A textbook is a book containing a comprehensive compilation of content in a branch of study with the intention of explaining it. Textbooks are produced to meet the needs of educators, usually at educational institutions, but also of learners (who could be independent learners outside of formal education). Schoolbooks are textbooks and other books used in schools. Today, many textbooks are published in both print and digital formats. History The history of textbooks dates back to ancient civilizations. For example, Ancient Greeks wrote educational texts. The modern textbook has its roots in the mass production made possible by the printing press. Johannes Gutenberg himself may have printed editions of ''Ars Minor'', a schoolbook on Latin grammar by Aelius Donatus. Early textbooks were used by tutors and teachers (e.g. alphabet books), as well as by individuals who taught themselves. The Greek philosopher Socrates lamented the loss of knowledge because the media of transmis ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Leonhard Euler
Leonhard Euler ( ; ; ; 15 April 170718 September 1783) was a Swiss polymath who was active as a mathematician, physicist, astronomer, logician, geographer, and engineer. He founded the studies of graph theory and topology and made influential discoveries in many other branches of mathematics, such as analytic number theory, complex analysis, and infinitesimal calculus. He also introduced much of modern mathematical terminology and Mathematical notation, notation, including the notion of a mathematical function. He is known for his work in mechanics, fluid dynamics, optics, astronomy, and music theory. Euler has been called a "universal genius" who "was fully equipped with almost unlimited powers of imagination, intellectual gifts and extraordinary memory". He spent most of his adult life in Saint Petersburg, Russia, and in Berlin, then the capital of Kingdom of Prussia, Prussia. Euler is credited for popularizing the Greek letter \pi (lowercase Pi (letter), pi) to denote Pi, th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Integral Calculus
In mathematics, an integral is the continuous analog of a sum, which is used to calculate areas, volumes, and their generalizations. Integration, the process of computing an integral, is one of the two fundamental operations of calculus,Integral calculus is a very well established mathematical discipline for which there are many sources. See and , for example. the other being differentiation. Integration was initially used to solve problems in mathematics and physics, such as finding the area under a curve, or determining displacement from velocity. Usage of integration expanded to a wide variety of scientific fields thereafter. A definite integral computes the signed area of the region in the plane that is bounded by the graph of a given function between two points in the real line. Conventionally, areas above the horizontal axis of the plane are positive while areas below are negative. Integrals also refer to the concept of an ''antiderivative'', a function whose der ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Institutiones Calculi Differentialis
''Institutiones calculi differentialis'' (''Foundations of differential calculus'') is a mathematical work written in 1748 by Leonhard Euler and published in 1755. It lays the groundwork for the differential calculus. It consists of a single volume containing two internal books; there are 9 chapters in book I, and 18 in book II. writes that "this is the first textbook on the differential calculus which has any claim to be both complete and accurate, and it may be said that all modern treatises on the subject are based on it." See also * '' Institutiones calculi integralis'' *List of important publications in mathematics This is a list of publications in mathematics, organized by field. Some reasons a particular publication might be regarded as important: *Topic creator – A publication that created a new topic *Breakthrough – A publication that cha ... References * * External links Full textin Latin available from e-rara.ch. German translation''Vollständig ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Archive
An archive is an accumulation of historical records or materials, in any medium, or the physical facility in which they are located. Archives contain primary source documents that have accumulated over the course of an individual or organization's lifetime, and are kept to show the history and function of that person or organization. Professional archivists and historians generally understand archives to be records that have been naturally and necessarily generated as a product of regular legal, commercial, administrative, or social activities. They have been metaphorically defined as "the secretions of an organism", and are distinguished from documents that have been consciously written or created to communicate a particular message to posterity. In general, archives consist of records that have been selected for permanent or long-term preservation on the grounds of their enduring cultural, historical, or evidentiary value. Archival records are normally unpublished and a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Books
A book is a structured presentation of recorded information, primarily verbal and graphical, through a medium. Originally physical, electronic books and audiobooks are now existent. Physical books are objects that contain printed material, mostly of writing and images. Modern books are typically composed of many pages Bookbinding, bound together and protected by a Book cover, cover, what is known as the ''codex'' format; older formats include the scroll and the Clay tablet, tablet. As a conceptual object, a ''book'' often refers to a written work of substantial length by one or more authors, which may also be distributed digitally as an electronic book (ebook). These kinds of works can be broadly Library classification, classified into fiction (containing invented content, often narratives) and non-fiction (containing content intended as factual truth). But a physical book may not contain a written work: for example, it may contain ''only'' drawings, engravings, photographs, s ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1768 Non-fiction Books
Events January–March * January 9 – Philip Astley stages the first modern Circus (performing art), circus, with acrobatics, acrobats on galloping horses, in London. * February 11 – Samuel Adams's Massachusetts Circular Letter, circular letter is issued by the Massachusetts House of Representatives, and sent to the other Thirteen Colonies. Refusal to revoke the letter will result in dissolution of the Massachusetts Assembly, and (from October) incur the institution of martial law to prevent civil unrest. * February 24 – With Russian troops occupying the nation, opposition legislators of the national legislature having been deported, the government of Poland signs a treaty virtually turning the Polish–Lithuanian Commonwealth into a protectorate of the Russian Empire. * February 27 – The first Secretary of State for the Colonies is appointed in Kingdom of Great Britain, Britain, the Wills Hill, 1st Marquess of Downshire, Earl of Hillsborough. * ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
18th-century Books In Latin
The 18th century lasted from 1 January 1701 (represented by the Roman numerals MDCCI) to 31 December 1800 (MDCCC). During the 18th century, elements of Enlightenment thinking culminated in the Atlantic Revolutions. Revolutions began to challenge the legitimacy of monarchical and aristocratic power structures. The Industrial Revolution began mid-century, leading to radical changes in human society and the environment. The European colonization of the Americas and other parts of the world intensified and associated mass migrations of people grew in size as part of the Age of Sail. During the century, slave trading expanded across the shores of the Atlantic Ocean, while declining in Russia and China. Western historians have occasionally defined the 18th century otherwise for the purposes of their work. For example, the "short" 18th century may be defined as 1715–1789, denoting the period of time between the death of Louis XIV of France and the start of the French Revoluti ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematics Textbooks
Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sciences and mathematics itself. There are many areas of mathematics, which include number theory (the study of numbers), algebra (the study of formulas and related structures), geometry (the study of shapes and spaces that contain them), Mathematical analysis, analysis (the study of continuous changes), and set theory (presently used as a foundation for all mathematics). Mathematics involves the description and manipulation of mathematical object, abstract objects that consist of either abstraction (mathematics), abstractions from nature orin modern mathematicspurely abstract entities that are stipulated to have certain properties, called axioms. Mathematics uses pure reason to proof (mathematics), prove properties of objects, a ''proof'' consisting of a succession of applications of in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
