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Quadratic and Higher Degree Forms

2013-08-13 Mathematics
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Release : 2013-08-13
Genre : Mathematics
Kind : eBook
Book Rating : 884/5 ( reviews)

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Book Synopsis Quadratic and Higher Degree Forms by : Krishnaswami Alladi

Download or read book Quadratic and Higher Degree Forms written by Krishnaswami Alladi. This book was released on 2013-08-13. Available in PDF, EPUB and Kindle. Book excerpt: In the last decade, the areas of quadratic and higher degree forms have witnessed dramatic advances. This volume is an outgrowth of three seminal conferences on these topics held in 2009, two at the University of Florida and one at the Arizona Winter School. The volume also includes papers from the two focused weeks on quadratic forms and integral lattices at the University of Florida in 2010.Topics discussed include the links between quadratic forms and automorphic forms, representation of integers and forms by quadratic forms, connections between quadratic forms and lattices, and algorithms for quaternion algebras and quadratic forms. The book will be of interest to graduate students and mathematicians wishing to study quadratic and higher degree forms, as well as to established researchers in these areas. Quadratic and Higher Degree Forms contains research and semi-expository papers that stem from the presentations at conferences at the University of Florida as well as survey lectures on quadratic forms based on the instructional workshop for graduate students held at the Arizona Winter School. The survey papers in the volume provide an excellent introduction to various aspects of the theory of quadratic forms starting from the basic concepts and provide a glimpse of some of the exciting questions currently being investigated. The research and expository papers present the latest advances on quadratic and higher degree forms and their connections with various branches of mathematics.

Lectures on Forms of Higher Degree

1978 Mathematics
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Release : 1978
Genre : Mathematics
Kind : eBook
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Book Synopsis Lectures on Forms of Higher Degree by : Jun-ichi Igusa

Download or read book Lectures on Forms of Higher Degree written by Jun-ichi Igusa. This book was released on 1978. Available in PDF, EPUB and Kindle. Book excerpt:

Higher Degree Theta-series and Representations of Quadratic Forms

1985 Forms, Quadratic
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Release : 1985
Genre : Forms, Quadratic
Kind : eBook
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Book Synopsis Higher Degree Theta-series and Representations of Quadratic Forms by : Myung-Hwan Kim

Download or read book Higher Degree Theta-series and Representations of Quadratic Forms written by Myung-Hwan Kim. This book was released on 1985. Available in PDF, EPUB and Kindle. Book excerpt:

Beyond the Quadratic Formula

2020-01-29 Education
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Release : 2020-01-29
Genre : Education
Kind : eBook
Book Rating : 76X/5 ( reviews)

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Book Synopsis Beyond the Quadratic Formula by : Ron Irving

Download or read book Beyond the Quadratic Formula written by Ron Irving. This book was released on 2020-01-29. Available in PDF, EPUB and Kindle. Book excerpt: The quadratic formula for the solution of quadratic equations was discovered independently by scholars in many ancient cultures and is familiar to everyone. Less well known are formulas for solutions of cubic and quartic equations whose discovery was the high point of 16th century mathematics. Their study forms the heart of this book, as part of the broader theme that a polynomial's coefficients can be used to obtain detailed information on its roots. The book is designed for self-study, with many results presented as exercises and some supplemented by outlines for solution. The intended audience includes in-service and prospective secondary mathematics teachers, high school students eager to go beyond the standard curriculum, undergraduates who desire an in-depth look at a topic they may have unwittingly skipped over, and the mathematically curious who wish to do some work to unlock the mysteries of this beautiful subject.

Quadratic and Hermitian Forms

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 715/5 ( reviews)

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Book Synopsis Quadratic and Hermitian Forms by : W. Scharlau

Download or read book Quadratic and Hermitian Forms written by W. Scharlau. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: For a long time - at least from Fermat to Minkowski - the theory of quadratic forms was a part of number theory. Much of the best work of the great number theorists of the eighteenth and nineteenth century was concerned with problems about quadratic forms. On the basis of their work, Minkowski, Siegel, Hasse, Eichler and many others crea ted the impressive "arithmetic" theory of quadratic forms, which has been the object of the well-known books by Bachmann (1898/1923), Eichler (1952), and O'Meara (1963). Parallel to this development the ideas of abstract algebra and abstract linear algebra introduced by Dedekind, Frobenius, E. Noether and Artin led to today's structural mathematics with its emphasis on classification problems and general structure theorems. On the basis of both - the number theory of quadratic forms and the ideas of modern algebra - Witt opened, in 1937, a new chapter in the theory of quadratic forms. His most fruitful idea was to consider not single "individual" quadratic forms but rather the entity of all forms over a fixed ground field and to construct from this an algebra ic object. This object - the Witt ring - then became the principal object of the entire theory. Thirty years later Pfister demonstrated the significance of this approach by his celebrated structure theorems.

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