The Beginnings and Evolution of Algebra PDF Download
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Author: I. G. Bashmakova
Publisher: Cambridge University Press
ISBN: 9780883853290
Category : Mathematics
Languages : en
Pages : 200
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Book Description
An examination of the evolution of one of the cornerstones of modern mathematics.
Author: I. G. Bashmakova
Publisher: Cambridge University Press
ISBN: 9780883853290
Category : Mathematics
Languages : en
Pages : 200
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Book Description
An examination of the evolution of one of the cornerstones of modern mathematics.
Author: Charles C Pinter
Publisher: Courier Corporation
ISBN: 0486474178
Category : Mathematics
Languages : en
Pages : 402
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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.
Author: François Viète
Publisher: Courier Corporation
ISBN: 0486453480
Category : Mathematics
Languages : en
Pages : 466
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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.
Author: Karine Chemla
Publisher: Springer Science & Business Media
ISBN: 1402023219
Category : History
Languages : en
Pages : 283
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Book Description
two main (interacting) ways. They constitute that with which exploration into problems or questions is carried out. But they also constitute that which is exchanged between scholars or, in other terms, that which is shaped by one (or by some) for use by others. In these various dimensions, texts obviously depend on the means and technologies available for producing, reproducing, using and organizing writings. In this regard, the contribution of a history of text is essential in helping us approach the various historical contexts from which our sources originate. However, there is more to it. While shaping texts as texts, the practitioners of the sciences may create new textual resources that intimately relate to the research carried on. One may think, for instance, of the process of introduction of formulas in mathematical texts. This aspect opens up a wholerangeofextremelyinterestingquestionstowhichwewillreturnatalaterpoint.But practitioners of the sciences also rely on texts produced by themselves or others, which they bring into play in various ways. More generally, they make use of textual resources of every kind that is available to them, reshaping them, restricting, or enlarging them. Among these, one can think of ways of naming, syntax of statements or grammatical analysis, literary techniques, modes of shaping texts or parts of text, genres of text and so on.Inthissense,thepractitionersdependon,anddrawon,the“textualcultures”available to the social and professional groups to which they belong.
Author: Steven Henry Strogatz
Publisher: Houghton Mifflin Harcourt
ISBN: 0547517653
Category : Mathematics
Languages : en
Pages : 333
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Book Description
A delightful tour of the greatest ideas of math, showing how math intersects with philosophy, science, art, business, current events, and everyday life, by an acclaimed science communicator and regular contributor to the "New York Times."
Author: Girolamo Cardano
Publisher: New York Review of Books
ISBN: 9781590170168
Category : Biography & Autobiography
Languages : en
Pages : 322
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Book Description
A bright star of the Italian Renaissance, Girolamo Cardano was an internationally-sought-after astrologer, physician, and natural philosopher, a creator of modern algebra, and the inventor of the universal joint. Condemned by the Inquisition to house arrest in his old age, Cardano wrote The Book of My Life, an unvarnished and often outrageous account of his character and conduct. Whether discussing his sex life or his diet, the plots of academic rivals or meetings with supernatural beings, or his deep sorrow when his beloved son was executed for murder, Cardano displays the same unbounded curiosity that made him a scientific pioneer. At once picaresque adventure and campus comedy, curriculum vitae, and last will, The Book of My Life is an extraordinary Renaissance self-portrait—a book to set beside Montaigne's Essays and Benvenuto Cellini's Autobiography.
Author: Victor J. Katz
Publisher: Princeton University Press
ISBN: 0691149054
Category : Mathematics
Languages : en
Pages : 504
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Book Description
What is algebra? For some, it is an abstract language of x's and y’s. For mathematics majors and professional mathematicians, it is a world of axiomatically defined constructs like groups, rings, and fields. Taming the Unknown considers how these two seemingly different types of algebra evolved and how they relate. Victor Katz and Karen Parshall explore the history of algebra, from its roots in the ancient civilizations of Egypt, Mesopotamia, Greece, China, and India, through its development in the medieval Islamic world and medieval and early modern Europe, to its modern form in the early twentieth century. Defining algebra originally as a collection of techniques for determining unknowns, the authors trace the development of these techniques from geometric beginnings in ancient Egypt and Mesopotamia and classical Greece. They show how similar problems were tackled in Alexandrian Greece, in China, and in India, then look at how medieval Islamic scholars shifted to an algorithmic stage, which was further developed by medieval and early modern European mathematicians. With the introduction of a flexible and operative symbolism in the sixteenth and seventeenth centuries, algebra entered into a dynamic period characterized by the analytic geometry that could evaluate curves represented by equations in two variables, thereby solving problems in the physics of motion. This new symbolism freed mathematicians to study equations of degrees higher than two and three, ultimately leading to the present abstract era. Taming the Unknown follows algebra’s remarkable growth through different epochs around the globe.
Author: Muḥammad ibn Mūsā al-Khuwārizmī
Publisher:
ISBN:
Category : Algebra, Arabic
Languages : en
Pages : 370
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Book Description
Author: Simon Gindikin
Publisher: Springer Science & Business Media
ISBN: 1461239427
Category : Mathematics
Languages : en
Pages : 167
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Book Description
This revised and greatly expanded edition of the Russian classic contains a wealth of new information about the lives of many great mathematicians and scientists, past and present. Written by a distinguished mathematician and featuring a unique mix of mathematics, physics, and history, this text combines original source material and provides careful explanations for some of the most significant discoveries in mathematics and physics. What emerges are intriguing, multifaceted biographies that will interest readers at all levels.
Author: Girolamo Cardano
Publisher: Dover Publications
ISBN:
Category : Mathematics
Languages : en
Pages : 316
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Book Description
