The Sensual Quadratic Form (Carus Mathematical Monographs)

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9780883850404: The Sensual Quadratic Form (Carus Mathematical Monographs)

John Horton Conway's unique approach to quadratic forms was the subject of the Hedrick Lectures given by him in August of 1991 at the Joint Meetings of the Mathematical Association of America and the American Mathematical Society in Orono, Mane. This book presents the substance of those lectures. The book should not be though of a serious textbook on the theory of quadratic forms--it consists rather of a number of essays on particular aspects of quadratic forms that have interested the author. The lectures are self-contained and will be accessible to the generally informed reader who has no particular background in quadratic form theory. The minor exceptions should not interrupt the flow of ideas. The Afterthoughts to the Lectures contain discussion of related matters that occasionally presuppose greater knowledge.

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Book Description:

Quadratic forms are here presented in a pictorial way that enables readers to understand them mathematically without proving theorems in the traditional fashion. In his customary enthusiastic style, Conway uses his theme to cast light on all manner of topics from algebra, number theory and geometry, including many new ideas and features.

About the Author:

John Horton Conway is the John von Neumann Professor of Mathematics at Princeton University. He received his PhD from Cambridge University and was professor of mathematics there until 1986 when he moved to Princeton. He is the discoverer of surreal numbers and the inventor of the mathematical game of "Life."

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