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Squares (London Mathematical Society Lecture Note Series, Series Number 171) - Softcover

 
9780521426688: Squares (London Mathematical Society Lecture Note Series, Series Number 171)

Synopsis

This work is a self-contained treatise on the research conducted on squares by Pfister, Hilbert, Hurwitz, and others. Many classical and modern results and quadratic forms are brought together in this book, and the treatment requires only a basic knowledge of rings, fields, polynomials, and matrices. The author deals with many different approaches to the study of squares, from the classical works of the late nineteenth century, to areas of current research.

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Book Description

A self-contained treatise on the research conducted on squares by Pfister, Hilbert, Hurwitz, and others. Many classical and modern results and quadratic forms are brought together and only a basic knowledge of rings, fields, polynomials, and matrices is required.

Review

"A well-written, unpretentious introduction to squares and sums of squares in fields." American Mathematical Monthly

"...Rajwade's exposition...is richly detailed: the reader is not forced to reproduce complicated algebraic calculations just to follow the arguments. Even more delightful is how Rajwade approaches the frontiers of current research in certain aspects of the algebraic theory of quadratic forms without significantly increasing demands on the reader! Highly recommended." D.V. Feldman, Choice

"Anyone wanting to learn something about the algebraic theory of quadratic forms will find this book useful. It is written at an elementary level, accessible to undergraduate students. At the same time, it contains several important topics, including the classical theorems of Hilbert, Hurwitz and Radon, not covered in the standard references." Murray Marshall, Mathematical Reviews

"...this book includes beautiful and important mathematics which can be explained at a fairly elementary level. Many of these theorems have appeared only in research journals and certainly deserve to be advertised in expository books and appreciated by a wide audience." Daniel B. Shapiro, The American Mathematical Monthly

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  • PublisherCambridge University Press
  • Publication date1993
  • ISBN 10 0521426685
  • ISBN 13 9780521426688
  • BindingPaperback
  • LanguageEnglish
  • Edition number1
  • Number of pages300

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Rajwade, A. R.
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ISBN 10: 0521426685 ISBN 13: 9780521426688
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Paperback. Condition: new. Paperback. This work is a self-contained treatise on the research conducted on squares by Pfister, Hilbert, Hurwitz, and others. Many classical and modern results and quadratic forms are brought together in this book, and the treatment requires only a basic knowledge of rings, fields, polynomials, and matrices. The author deals with many different approaches to the study of squares, from the classical works of the late nineteenth century, to areas of current research. This work is a self-contained treatise on the research conducted on squares by Pfister, Hilbert, Hurwitz, and others. Many classical and modern results and quadratic forms are brought together in this book, and the treatment requires only a basic knowledge of rings, fields, polynomials, and matrices. The author deals with many different approaches to the study of squares, from the classical works of the late nineteenth century, to areas of current research. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521426688

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Condition: Gut. Zustand: Gut - Gebrauchs- und Lagerspuren. Außen: verschmutzt. Innen: Seiten eingerissen. Aus der Auflösung einer renommierten Bibliothek. Kann Stempel beinhalten. | Seiten: 300 | Sprache: Englisch | Produktart: Bücher. Seller Inventory # 2057083/203

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