A Dissertation on the Use of the Negative Sign in Algebra : Containing a Demonstration of the Rules Usually Given Concerning It; and Shewing how Quadratic and Cubic Equations May be Explained, Without the Consideration of Negative Roots PDF Download

Author: Francis Maseres
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Author: Francis Maseres
Publisher:
ISBN:
Category : Circle-squaring
Languages : en
Pages : 293

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Author: Francis Maseres
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 316

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Book Description

Author: Francis Maseres
Publisher:
ISBN:
Category : Circle-squaring
Languages : en
Pages : 293

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Author: Francis Maseres
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 0

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Author: Alberto A. Martínez
Publisher: Princeton University Press
ISBN: 0691187827
Category : Mathematics
Languages : en
Pages : 280

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A student in class asks the math teacher: "Shouldn't minus times minus make minus?" Teachers soon convince most students that it does not. Yet the innocent question brings with it a germ of mathematical creativity. What happens if we encourage that thought, odd and ungrounded though it may seem? Few books in the field of mathematics encourage such creative thinking. Fewer still are engagingly written and fun to read. This book succeeds on both counts. Alberto Martinez shows us how many of the mathematical concepts that we take for granted were once considered contrived, imaginary, absurd, or just plain wrong. Even today, he writes, not all parts of math correspond to things, relations, or operations that we can actually observe or carry out in everyday life. Negative Math ponders such issues by exploring controversies in the history of numbers, especially the so-called negative and "impossible" numbers. It uses history, puzzles, and lively debates to demonstrate how it is still possible to devise new artificial systems of mathematical rules. In fact, the book contends, departures from traditional rules can even be the basis for new applications. For example, by using an algebra in which minus times minus makes minus, mathematicians can describe curves or trajectories that are not represented by traditional coordinate geometry. Clear and accessible, Negative Math expects from its readers only a passing acquaintance with basic high school algebra. It will prove pleasurable reading not only for those who enjoy popular math, but also for historians, philosophers, and educators. Key Features? Uses history, puzzles, and lively debates to devise new mathematical systems Shows how departures from rules can underlie new practical applications Clear and accessible Requires a background only in basic high school algebra

Author: Victor J. Katz
Publisher: Princeton University Press
ISBN: 0691204071
Category : Mathematics
Languages : en
Pages : 502

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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: Henry Sotheran Ltd
Publisher:
ISBN:
Category : Booksellers' catalogs
Languages : en
Pages : 600

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Publisher: BRILL
ISBN: 9004418873
Category : Education
Languages : en
Pages : 419

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Knowledge, Beliefs, and Identity in Mathematics Teaching and Teaching Development examines teacher knowledge, beliefs, identity, practice and relationships among them. These important aspects of mathematics teacher education continue to be the focus of extensive research and policy debate globally.

Author: Edwin Wolf
Publisher: American Philosophical Society
ISBN: 9780871692573
Category : Reference
Languages : en
Pages : 1012

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Beginning in the 1950s, Edwin Wolf 2nd embarked on a biblio'l. quest to reconstruct the library of Benjamin Franklin, which was the largest & best private library in Amer. at the time of his death & was subsequently dispersed. The contents of Franklin's library were virtually unknown until Wolf identified the unique shelfmarks that Franklin used to organize his books. That discovery allowed Wolf to locate 2,700 titles in 1,000 vols. that Franklin actually owned. Wolf also identified a further 700 titles owned by Franklin. After wolf's death, Kevin Hayes took up the project & brought it to fruition. This catalogue includes almost 4,000 books known to have been owned by Franklin, & the Intro. tells the complete story of Franklin's library, its dispersal, & its reconstruction.