Lectures On Finite Fields

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Lectures On Finite Fields And Galois Rings

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Author : Zhe-Xian Wan
language : en
Publisher: World Scientific
Release Date : 2003

Lectures On Finite Fields And Galois Rings written by Zhe-Xian Wan and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.

This is a textbook for graduate and upper level undergraduate students in mathematics, computer science, communication engineering and other fields. The explicit construction of finite fields and the computation in finite fields are emphasised. In particular, the construction of irreducible polynomials and the normal basis of finite fields are included. The essentials of Galois rings are also presented. This invaluable book has been written in a friendly style, so that lecturers can easily use it as a text and students can use it for self-study. A great number of exercises have been incorporated.

Lectures On Finite Fields

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Author : Xiang-dong Hou
language : en
Publisher: American Mathematical Soc.
Release Date : 2018-06-07

Lectures On Finite Fields written by Xiang-dong Hou and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-07 with Mathematics categories.

The theory of finite fields encompasses algebra, combinatorics, and number theory and has furnished widespread applications in other areas of mathematics and computer science. This book is a collection of selected topics in the theory of finite fields and related areas. The topics include basic facts about finite fields, polynomials over finite fields, Gauss sums, algebraic number theory and cyclotomic fields, zeros of polynomials over finite fields, and classical groups over finite fields. The book is mostly self-contained, and the material covered is accessible to readers with the knowledge of graduate algebra; the only exception is a section on function fields. Each chapter is supplied with a set of exercises. The book can be adopted as a text for a second year graduate course or used as a reference by researchers.

Lectures On Finite Fields And Galois Rings

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Author : Zhe-xian Wan
language : en
Publisher: World Scientific Publishing Company
Release Date : 2003-08-12

Lectures On Finite Fields And Galois Rings written by Zhe-xian Wan and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-08-12 with Mathematics categories.

This is a textbook for graduate and upper level undergraduate students in mathematics, computer science, communication engineering and other fields. The explicit construction of finite fields and the computation in finite fields are emphasised. In particular, the construction of irreducible polynomials and the normal basis of finite fields are included. The essentials of Galois rings are also presented. This invaluable book has been written in a friendly style, so that lecturers can easily use it as a text and students can use it for self-study. A great number of exercises have been incorporated.

Lectures In Algebraic Combinatorics

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Author : Adriano M. Garsia
language : en
Publisher: Springer Nature
Release Date : 2020-10-06

Lectures In Algebraic Combinatorics written by Adriano M. Garsia and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-06 with Mathematics categories.

Capturing Adriano Garsia's unique perspective on essential topics in algebraic combinatorics, this book consists of selected, classic notes on a number of topics based on lectures held at the University of California, San Diego over the past few decades. The topics presented share a common theme of describing interesting interplays between algebraic topics such as representation theory and elegant structures which are sometimes thought of as being outside the purview of classical combinatorics. The lectures reflect Garsia’s inimitable narrative style and his exceptional expository ability. The preface presents the historical viewpoint as well as Garsia's personal insights into the subject matter. The lectures then start with a clear treatment of Alfred Young's construction of the irreducible representations of the symmetric group, seminormal representations and Morphy elements. This is followed by an elegant application of SL(2) representations to algebraic combinatorics. The last two lectures are on heaps, continued fractions and orthogonal polynomials with applications, and finally there is an exposition on the theory of finite fields. The book is aimed at graduate students and researchers in the field.

The Notre Dame Lectures

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Author : Peter Cholak
language : en
Publisher: CRC Press
Release Date : 2005-04-09

The Notre Dame Lectures written by Peter Cholak and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-04-09 with Mathematics categories.

In fall 2000, the Notre Dame logic community hosted Greg Hjorth, Rodney G. Downey, Zoe Chatzidakis, and Paola D'Aquino as visiting lecturers. Each of them presented a month long series of expository lectures at the graduate level. The articles in this volume are refinements of these excellent lectures.

Lectures On N X P

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Author : Jean-Pierre Serre
language : en
Publisher: CRC Press
Release Date : 2016-04-19

Lectures On N X P written by Jean-Pierre Serre and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-19 with Mathematics categories.

Lectures on NX(p) deals with the question on how NX(p), the number of solutions of mod p congruences, varies with p when the family (X) of polynomial equations is fixed. While such a general question cannot have a complete answer, it offers a good occasion for reviewing various techniques in l-adic cohomology and group representations, presented in

Lectures In Real Geometry

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Author : Fabrizio Broglia
language : en
Publisher: Walter de Gruyter
Release Date : 2011-10-10

Lectures In Real Geometry written by Fabrizio Broglia and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-10 with Mathematics categories.

The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany

Lectures On The Theory Of Algebraic Functions Of One Variable

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Author : Max Deuring
language : en
Publisher: Springer
Release Date : 2006-11-15

Lectures On The Theory Of Algebraic Functions Of One Variable written by Max Deuring and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.

Lectures On Equations Over Finite Fields

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Author : Wolfgang M. Schmidt
language : en
Publisher:
Release Date : 1975

Lectures On Equations Over Finite Fields written by Wolfgang M. Schmidt and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Diophantine analysis categories.

Lectures On Algebra

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Author : Shreeram Shankar Abhyankar
language : en
Publisher: World Scientific
Release Date : 2006

Lectures On Algebra written by Shreeram Shankar Abhyankar and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.

This book is a timely survey of much of the algebra developed during the last several centuries including its applications to algebraic geometry and its potential use in geometric modeling. The present volume makes an ideal textbook for an abstract algebra course, while the forthcoming sequel. Lectures on Algebra II, will serve as a textbook for a linear algebra course. The author's fondness for algebraic geometry shows up in both volumes, and his recent preoccupation with the applications of group theory to the calculation of Galois groups is evident in the second volume which contains more local rings and more algebraic geometry. Both books are based on the author's lectures at Purdue University over the last few years.