The Arithmetic of Infinitesimals PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download The Arithmetic of Infinitesimals PDF full book. Access full book title The Arithmetic of Infinitesimals by John Wallis. Download full books in PDF and EPUB format.
Author: John Wallis
Publisher: Springer Science & Business Media
ISBN: 1475743122
Category : Mathematics
Languages : en
Pages : 226
Get Book Here
Book Description
John Wallis (1616-1703) was the most influential English mathematician prior to Newton. He published his most famous work, Arithmetica Infinitorum, in Latin in 1656. This book studied the quadrature of curves and systematised the analysis of Descartes and Cavelieri. Upon publication, this text immediately became the standard book on the subject and was frequently referred to by subsequent writers. This will be the first English translation of this text ever to be published.
Author: John Wallis
Publisher: Springer Science & Business Media
ISBN: 1475743122
Category : Mathematics
Languages : en
Pages : 226
Get Book Here
Book Description
John Wallis (1616-1703) was the most influential English mathematician prior to Newton. He published his most famous work, Arithmetica Infinitorum, in Latin in 1656. This book studied the quadrature of curves and systematised the analysis of Descartes and Cavelieri. Upon publication, this text immediately became the standard book on the subject and was frequently referred to by subsequent writers. This will be the first English translation of this text ever to be published.
Author: Joseph Frederick Scott
Publisher: Courier Corporation
ISBN: 9780828403146
Category : Biography & Autobiography
Languages : en
Pages : 276
Get Book Here
Book Description
Wallis was one of the most original mathematicians of the seventeenth century and he left his mark on mathematics in many ways. He introduced arithmetical limits into mathematics (his famous infinite-product expression for $\pi$ is an example). This book presents his work.
Author: Teun Koetsier
Publisher: Elsevier
ISBN: 0080457355
Category : Mathematics
Languages : en
Pages : 716
Get Book Here
Book Description
Mathematics and the Divine seem to correspond to diametrically opposed tendencies of the human mind. Does the mathematician not seek what is precisely defined, and do the objects intended by the mystic and the theologian not lie beyond definition? Is mathematics not Man's search for a measure, and isn't the Divine that which is immeasurable ?The present book shows that the domains of mathematics and the Divine, which may seem so radically separated, have throughout history and across cultures, proved to be intimately related. Religious activities such as the building of temples, the telling of ritual stories or the drawing of enigmatic figures all display distinct mathematical features. Major philosophical systems dealing with the Absolute and theological speculations focussing on our knowledge of the Ultimate have been based on or inspired by mathematics. A series of chapters by an international team of experts highlighting key figures, schools and trains of thought is presented here. Chinese number mysticism, the views of Pythagoras and Plato and their followers, Nicholas of Cusa's theological geometry, Spinozism and intuitionism as a philosophy of mathematics are treated side by side among many other themes in an attempt at creating a global view on the relation of mathematics and Man's quest for the Absolute in the course of history.·Mathematics and man's quest for the Absolute·A selective history highlighting key figures, schools and trains of thought ·An international team of historians presenting specific new findings as well as general overviews·Confronting and uniting otherwise compartmentalized information
Author: Jason M. Rampelt
Publisher:
ISBN: 9789004409132
Category : Mathematicians
Languages : en
Pages : 0
Get Book Here
Book Description
John Wallis's autobiography : text and context -- Early life and education -- The foundation of a career -- Mathematical lecturer -- Doctor of Divinity -- Pedagogue, pastor, and protector -- Mathematical method -- The languages of philosophy.
Author: John Wallis
Publisher: Oxford University Press, USA
ISBN: 0198569483
Category : Biography & Autobiography
Languages : en
Pages : 653
Get Book Here
Book Description
Vol. 2: This is the second in a six volume compendium on the correspondences of John Wallis (1616-1703). Wallis was Savilian Professor of Geometry at Oxford from 1649 until his death, and was a founding member of the Royal Society and a central figure in the scientific and intellectual history of England.
Author: Jacqueline A. Stedall
Publisher: Mathematics
ISBN: 9780198524953
Category : Mathematics
Languages : en
Pages : 314
Get Book Here
Book Description
A Discourse Concerning Algebra, provides a new and readable account of the rise of algebra in England from the Medieval period to the later years of the 17th Century.Stedall's book follows the reception and dissemination of important algebraic ideas and methods from continental Europe and the consequent revolution in the state of English mathematics in the 17th century.
Author: Walter William Rouse Ball
Publisher:
ISBN:
Category : Mathematicians
Languages : en
Pages : 576
Get Book Here
Book Description
Author: Ekkehard Kopp
Publisher: Open Book Publishers
ISBN: 1800640978
Category : Mathematics
Languages : en
Pages : 282
Get Book Here
Book Description
Making up Numbers: A History of Invention in Mathematics offers a detailed but accessible account of a wide range of mathematical ideas. Starting with elementary concepts, it leads the reader towards aspects of current mathematical research. The book explains how conceptual hurdles in the development of numbers and number systems were overcome in the course of history, from Babylon to Classical Greece, from the Middle Ages to the Renaissance, and so to the nineteenth and twentieth centuries. The narrative moves from the Pythagorean insistence on positive multiples to the gradual acceptance of negative numbers, irrationals and complex numbers as essential tools in quantitative analysis. Within this chronological framework, chapters are organised thematically, covering a variety of topics and contexts: writing and solving equations, geometric construction, coordinates and complex numbers, perceptions of ‘infinity’ and its permissible uses in mathematics, number systems, and evolving views of the role of axioms. Through this approach, the author demonstrates that changes in our understanding of numbers have often relied on the breaking of long-held conventions to make way for new inventions at once providing greater clarity and widening mathematical horizons. Viewed from this historical perspective, mathematical abstraction emerges as neither mysterious nor immutable, but as a contingent, developing human activity. Making up Numbers will be of great interest to undergraduate and A-level students of mathematics, as well as secondary school teachers of the subject. In virtue of its detailed treatment of mathematical ideas, it will be of value to anyone seeking to learn more about the development of the subject.
Author: Philip Beeley
Publisher: Routledge
ISBN: 9780367609269
Category :
Languages : en
Pages : 0
Get Book Here
Book Description
The volume contains eleven case studies exploring the production, collection, and use of early modern mathematical texts across different social milieus.
Author: Claude Brezinski
Publisher: Springer Science & Business Media
ISBN: 3642581692
Category : Mathematics
Languages : en
Pages : 556
Get Book Here
Book Description
The history of continued fractions is certainly one of the longest among those of mathematical concepts, since it begins with Euclid's algorithm for the great est common divisor at least three centuries B.C. As it is often the case and like Monsieur Jourdain in Moliere's "Ie bourgeois gentilhomme" (who was speak ing in prose though he did not know he was doing so), continued fractions were used for many centuries before their real discovery. The history of continued fractions and Pade approximants is also quite im portant, since they played a leading role in the development of some branches of mathematics. For example, they were the basis for the proof of the tran scendence of 11' in 1882, an open problem for more than two thousand years, and also for our modern spectral theory of operators. Actually they still are of great interest in many fields of pure and applied mathematics and in numerical analysis, where they provide computer approximations to special functions and are connected to some convergence acceleration methods. Con tinued fractions are also used in number theory, computer science, automata, electronics, etc ...
