Diophantine Methods, Lattices, and Arithmetic Theory of Quadratic Forms

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Publisher : American Mathematical Soc.
ISBN 13 : 0821883186
Total Pages : 259 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Diophantine Methods, Lattices, and Arithmetic Theory of Quadratic Forms by : Wai Kiu Chan

Download or read book Diophantine Methods, Lattices, and Arithmetic Theory of Quadratic Forms written by Wai Kiu Chan and published by American Mathematical Soc.. This book was released on 2013 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the International Workshop on Diophantine Methods, Lattices, and Arithmetic Theory of Quadratic Forms. The articles cover the arithmetic theory of quadratic forms and lattices, as well as the effective Diophantine analysis with height functions.

The Arithmetic Theory of Quadratic Forms

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Publisher : American Mathematical Soc.
ISBN 13 : 1614440107
Total Pages : 212 pages
Book Rating : 4.6/5 (144 download)

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Book Synopsis The Arithmetic Theory of Quadratic Forms by : Burton W Jones

Download or read book The Arithmetic Theory of Quadratic Forms written by Burton W Jones and published by American Mathematical Soc.. This book was released on 1950-12-31 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents the central ideas of the arithmetic theory of quadratic forms in self-contained form, assuming only knowledge of the fundamentals of matric theory and the theory of numbers. Pertinent concepts of p -adic numbers and quadratic ideals are introduced. It would have been possible to avoid these concepts, but the theory gains elegance as well as breadth by the introduction of such relationships. Some results, and many of the methods, are here presented for the first time. The development begins with the classical theory in the field of reals from the point of view of representation theory; for in these terms, many of the later objectives and methods may be revealed. The successive chapters gradually narrow the fields and rings until one has the tools at hand to deal with the classical problems in the ring of rational integers. The analytic theory of quadratic forms is not dealt with because of the delicate analysis involved. However, some of the more important results are stated and references are given.

Binary Quadratic Forms

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Publisher : Springer Science & Business Media
ISBN 13 : 3540463682
Total Pages : 328 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Binary Quadratic Forms by : Johannes Buchmann

Download or read book Binary Quadratic Forms written by Johannes Buchmann and published by Springer Science & Business Media. This book was released on 2007-06-22 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book deals with algorithmic problems related to binary quadratic forms. It uniquely focuses on the algorithmic aspects of the theory. The book introduces the reader to important areas of number theory such as diophantine equations, reduction theory of quadratic forms, geometry of numbers and algebraic number theory. The book explains applications to cryptography and requires only basic mathematical knowledge. The author is a world leader in number theory.

History of the Theory of Numbers, Volume III

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Publisher : Courier Corporation
ISBN 13 : 0486442349
Total Pages : 325 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis History of the Theory of Numbers, Volume III by : Leonard Eugene Dickson

Download or read book History of the Theory of Numbers, Volume III written by Leonard Eugene Dickson and published by Courier Corporation. This book was released on 2005-06-03 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: The three-volume series History of the Theory of Numbers is the work of the distinguished mathematician Leonard Eugene Dickson, who taught at the University of Chicago for four decades and is celebrated for his many contributions to number theory and group theory. This final volume in the series, which is suitable for upper-level undergraduates and graduate students, is devoted to quadratic and higher forms. It can be read independently of the preceding volumes, which explore divisibility and primality and diophantine analysis. Topics include reduction and equivalence of binary quadratic forms and representation of integers; composition of binary quadratic forms; the composition of orders and genera; irregular determinants; classes of binary quadratic forms with integral coefficients; binary quadratic forms whose coefficients are complete integers or integers of a field; classes of binary quadratic forms with complex integral coefficients; ternary and quaternary quadratic forms; cubic forms in three or more variables; binary hermitian forms; bilinear forms, matrices, and linear substitutions; congruencial theory of forms; and many other related topics. Indexes of authors cited and subjects appear at the end of the book.

Quadratic and Higher Degree Forms

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Publisher : Springer Science & Business Media
ISBN 13 : 1461474884
Total Pages : 303 pages
Book Rating : 4.4/5 (614 download)

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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 and published by Springer Science & Business Media. This book was released on 2013-08-13 with total page 303 pages. 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.

The Sensual (Quadratic) Form

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Publisher : Cambridge University Press
ISBN 13 : 9780883850305
Total Pages : 180 pages
Book Rating : 4.8/5 (53 download)

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Book Synopsis The Sensual (Quadratic) Form by : John Horton Conway

Download or read book The Sensual (Quadratic) Form written by John Horton Conway and published by Cambridge University Press. This book was released on 1997 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quadratic forms are presented in a pictorial way, elucidating many topics in algebra, number theory and geometry.

Automorphic Forms and Related Topics

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Publisher : American Mathematical Soc.
ISBN 13 : 147043525X
Total Pages : 286 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Automorphic Forms and Related Topics by : Samuele Anni

Download or read book Automorphic Forms and Related Topics written by Samuele Anni and published by American Mathematical Soc.. This book was released on 2019-06-19 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Building Bridges: 3rd EU/US Summer School and Workshop on Automorphic Forms and Related Topics, which was held in Sarajevo from July 11–22, 2016. The articles summarize material which was presented during the lectures and speed talks during the workshop. These articles address various aspects of the theory of automorphic forms and its relations with the theory of L-functions, the theory of elliptic curves, and representation theory. In addition to mathematical content, the workshop held a panel discussion on diversity and inclusion, which was chaired by a social scientist who has contributed to this volume as well. This volume is intended for researchers interested in expanding their own areas of focus, thus allowing them to “build bridges” to mathematical questions in other fields.

History of the Theory of Numbers ...

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Publisher :
ISBN 13 :
Total Pages : 332 pages
Book Rating : 4.3/5 ( download)

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Book Synopsis History of the Theory of Numbers ... by : Leonard Eugene Dickson

Download or read book History of the Theory of Numbers ... written by Leonard Eugene Dickson and published by . This book was released on 1923 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Sensual (quadratic) Form

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 1470448424
Total Pages : 152 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis The Sensual (quadratic) Form by : John Horton Conway

Download or read book The Sensual (quadratic) Form written by John Horton Conway and published by American Mathematical Soc.. This book was released on 1997-12-31 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: John Horton Conway's unique approach to quadratic forms was the subject of the Hedrick Lectures that he gave in August of 1991 at the Joint Meetings of the Mathematical Association of America and the American Mathematical Society in Orono, Maine. This book presents the substance of those lectures. The book should not be thought of as 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.

Rational Quadratic Forms

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Publisher : Courier Dover Publications
ISBN 13 : 0486466701
Total Pages : 429 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis Rational Quadratic Forms by : J. W. S. Cassels

Download or read book Rational Quadratic Forms written by J. W. S. Cassels and published by Courier Dover Publications. This book was released on 2008-08-08 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exploration of quadratic forms over rational numbers and rational integers offers elementary introduction. Covers quadratic forms over local fields, forms with integral coefficients, reduction theory for definite forms, more. 1968 edition.

Algebraic Combinatorics

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110630257
Total Pages : 444 pages
Book Rating : 4.1/5 (16 download)

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Book Synopsis Algebraic Combinatorics by : Eiichi Bannai

Download or read book Algebraic Combinatorics written by Eiichi Bannai and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-02-22 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic combinatorics is the study of combinatorial objects as an extension of the study of finite permutation groups, or, in other words, group theory without groups. In the spirit of Delsarte's theory, this book studies combinatorial objects such as graphs, codes, designs, etc. in the general framework of association schemes, providing a comprehensive overview of the theory as well as pointing out to extensions.

The Arithmetic Theory of Quadratic Forms

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Publisher : MAA Press
ISBN 13 :
Total Pages : 232 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis The Arithmetic Theory of Quadratic Forms by : Burton Wadsworth Jones

Download or read book The Arithmetic Theory of Quadratic Forms written by Burton Wadsworth Jones and published by MAA Press. This book was released on 1950 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Recent Developments in Algebraic and Combinatorial Aspects of Representation Theory

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Publisher : American Mathematical Soc.
ISBN 13 : 0821890379
Total Pages : 222 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Recent Developments in Algebraic and Combinatorial Aspects of Representation Theory by : Vyjayanthi Chari

Download or read book Recent Developments in Algebraic and Combinatorial Aspects of Representation Theory written by Vyjayanthi Chari and published by American Mathematical Soc.. This book was released on 2013-11-25 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the International Congress of Mathematicians Satellite Conference on Algebraic and Combinatorial Approaches to Representation Theory, held August 12-16, 2010, at the National Institute of Advanced Studies, Bangalore, India, and the follow-up conference held May 18-20, 2012, at the University of California, USA. It contains original research and survey articles on various topics in the theory of representations of Lie algebras, quantum groups and algebraic groups, including crystal bases, categorification, toroidal algebras and their generalisations, vertex algebras, Hecke algebras, Kazhdan-Lusztig bases, $q$-Schur algebras, and Weyl algebras.

Geometric Analysis, Mathematical Relativity, and Nonlinear Partial Differential Equations

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Publisher : American Mathematical Soc.
ISBN 13 : 0821891499
Total Pages : 256 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Geometric Analysis, Mathematical Relativity, and Nonlinear Partial Differential Equations by : Mohammad Ghomi

Download or read book Geometric Analysis, Mathematical Relativity, and Nonlinear Partial Differential Equations written by Mohammad Ghomi and published by American Mathematical Soc.. This book was released on 2012-09-25 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the proceedings of the Southeast Geometry Seminar for the meetings that took place bi-annually between the fall of 2009 and the fall of 2011, at Emory University, Georgia Institute of Technology, University of Alabama Birmingham, and the University of Tennessee. Talks at the seminar are devoted to various aspects of geometric analysis and related fields, in particular, nonlinear partial differential equations, general relativity, and geometric topology. Articles in this volume cover the following topics: a new set of axioms for General Relativity, CR manifolds, the Mane Conjecture, minimal surfaces, maximal measures, pendant drops, the Funk-Radon-Helgason method, ADM-mass and capacity, and extrinsic curvature in metric spaces.

Expository Lectures on Representation Theory

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Publisher : American Mathematical Soc.
ISBN 13 : 0821891405
Total Pages : 236 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Expository Lectures on Representation Theory by : Kiyoshi Igusa

Download or read book Expository Lectures on Representation Theory written by Kiyoshi Igusa and published by American Mathematical Soc.. This book was released on 2014-01-16 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Maurice Auslander Distinguished Lectures and International Conference, held April 25-30, 2012, in Falmouth, MA. The representation theory of finite dimensional algebras and related topics, especially cluster combinatorics, is a very active topic of research. This volume contains papers covering both the history and the latest developments in this topic. In particular, Otto Kerner gives a review of basic theorems and latest results about wild hereditary algebras, Yuri Berest develops the theory of derived representation schemes, and Markus Schmidmeier presents new applications of arc diagrams.

Quadratic Forms and Their Applications

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Publisher : American Mathematical Soc.
ISBN 13 : 0821827790
Total Pages : 330 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Quadratic Forms and Their Applications by : Eva Bayer-Fluckiger

Download or read book Quadratic Forms and Their Applications written by Eva Bayer-Fluckiger and published by American Mathematical Soc.. This book was released on 2000 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume outlines the proceedings of the conference on "Quadratic Forms and Their Applications" held at University College Dublin. It includes survey articles and research papers ranging from applications in topology and geometry to the algebraic theory of quadratic forms and its history. Various aspects of the use of quadratic forms in algebra, analysis, topology, geometry, and number theory are addressed. Special features include the first published proof of the Conway-Schneeberger Fifteen Theorem on integer-valued quadratic forms and the first English-language biography of Ernst Witt, founder of the theory of quadratic forms.

Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics II

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Publisher : American Mathematical Soc.
ISBN 13 : 0821891480
Total Pages : 384 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics II by : David Carfi

Download or read book Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics II written by David Carfi and published by American Mathematical Soc.. This book was released on 2013-10-24 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings from three conferences: the PISRS 2011 International Conference on Analysis, Fractal Geometry, Dynamical Systems and Economics, held November 8-12, 2011 in Messina, Italy; the AMS Special Session on Fractal Geometry in Pure and Applied Mathematics, in memory of Benoît Mandelbrot, held January 4-7, 2012, in Boston, MA; and the AMS Special Session on Geometry and Analysis on Fractal Spaces, held March 3-4, 2012, in Honolulu, HI. Articles in this volume cover fractal geometry and various aspects of dynamical systems in applied mathematics and the applications to other sciences. Also included are articles discussing a variety of connections between these subjects and various areas of physics, engineering, computer science, technology, economics and finance, as well as of mathematics (including probability theory in relation with statistical physics and heat kernel estimates, geometric measure theory, partial differential equations in relation with condensed matter physics, global analysis on non-smooth spaces, the theory of billiards, harmonic analysis and spectral geometry). The companion volume (Contemporary Mathematics, Volume 600) focuses on the more mathematical aspects of fractal geometry and dynamical systems.