Author: Girolamo CardanoPublisher:
ISBN:
Category : Algebra
Languages : en
Pages : 267
Book Description
The Great Art Or the Rules of Algebra
Author: Girolamo CardanoPublisher:
ISBN:
Category : Algebra
Languages : en
Pages : 267
Book Description
The Great Art Or The Rules of Algebra
Author: Gerolamo CardanoPublisher:
ISBN:
Category : Algebra
Languages : en
Pages : 0
Book Description
The Rules of Algebra
Author: Girolamo CardanoPublisher: Courier Corporation
ISBN: 0486458733
Category : Mathematics
Languages : en
Pages : 306
Book Description
First published in 1545, this cornerstone in the history of mathematics contains the first revelation of the principles for solving cubic and biquadratic equations. T. Richard Witmer's excellent translation from the Latin, adapted to modern mathematical syntax, will appeal to both mathematicians and historians. Foreword by Oystein Ore.
The Great Art; Or, The Rules of Algebra. Translated and Edited by T. Richard Witmer
Author: Girolamo CARDANOFrom Cardano's Great Art to Lagrange's Reflections
Author: Jacqueline A. StedallPublisher: European Mathematical Society
ISBN: 9783037190920
Category : Algebra
Languages : en
Pages : 244
Book Description
This book is an exploration of a claim made by Lagrange in the autumn of 1771 as he embarked upon his lengthy ``Reflexions sur la resolution algebrique des equations'': that there had been few advances in the algebraic solution of equations since the time of Cardano in the mid sixteenth century. That opinion has been shared by many later historians. The present study attempts to redress that view and to examine the intertwined developments in the theory of equations from Cardano to Lagrange. A similar historical exploration led Lagrange himself to insights that were to transform the entire nature and scope of algebra. Progress was not confined to any one country: at different times mathematicians in Italy, France, the Netherlands, England, Scotland, Russia, and Germany contributed to the discussion and to a gradual deepening of understanding. In particular, the national Academies of Berlin, St. Petersburg, and Paris in the eighteenth century were crucial in supporting informed mathematical communities and encouraging the wider dissemination of key ideas. This study therefore truly highlights the existence of a European mathematical heritage. The book is written in three parts. Part I offers an overview of the period from Cardano to Newton (1545 to 1707) and is arranged chronologically. Part II covers the period from Newton to Lagrange (1707 to 1771) and treats the material according to key themes. Part III is a brief account of the aftermath of the discoveries made in the 1770s. The book attempts throughout to capture the reality of mathematical discovery by inviting the reader to follow in the footsteps of the authors themselves, with as few changes as possible to the original notation and style of presentation.
The Great Art; Or, the Rules of Algebra. Translated and Edited by T. Richard Witmer. With a Foreword by Oystein Ore
Author: Girolamo CardanoPublisher:
ISBN:
Category : Algebra
Languages : en
Pages : 0
Book Description
Ars Magna, Or, The Rules of Algebra
Author: Girolamo CardanoPublisher: Dover Publications
ISBN:
Category : Mathematics
Languages : en
Pages : 316
Book Description
A Book of Abstract Algebra
Author: Charles C PinterPublisher: Courier Corporation
ISBN: 0486474178
Category : Mathematics
Languages : en
Pages : 402
Book Description
Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. This second edition features additional exercises to improve student familiarity with applications. 1990 edition.
The Analytic Art
Author: François ViètePublisher: Courier Corporation
ISBN: 0486453480
Category : Mathematics
Languages : en
Pages : 466
Book Description
This historic work consists of several treatises that developed the first consistent, coherent, and systematic conception of algebraic equations. Originally published in 1591, it pioneered the notion of using symbols of one kind (vowels) for unknowns and of another kind (consonants) for known quantities, thus streamlining the solution of equations. Francois Viète (1540-1603), a lawyer at the court of King Henry II in Tours and Paris, wrote several treatises that are known collectively as The Analytic Art. His novel approach to the study of algebra developed the earliest articulated theory of equations, allowing not only flexibility and generality in solving linear and quadratic equations, but also something completely new—a clear analysis of the relationship between the forms of the solutions and the values of the coefficients of the original equation. Viète regarded his contribution as developing a "systematic way of thinking" leading to general solutions, rather than just a "bag of tricks" to solve specific problems. These essays demonstrate his method of applying his own ideas to existing usage in ways that led to clear formulation and solution of equations.
The Beginnings and Evolution of Algebra
Author: I. G. BashmakovaPublisher: Cambridge University Press
ISBN: 9780883853290
Category : Mathematics
Languages : en
Pages : 200
Book Description
An examination of the evolution of one of the cornerstones of modern mathematics.