Class Number Parity

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Publisher : World Scientific
ISBN 13 : 9789971506698
Total Pages : 250 pages
Book Rating : 4.5/5 (66 download)

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Book Synopsis Class Number Parity by : Pierre E. Conner

Download or read book Class Number Parity written by Pierre E. Conner and published by World Scientific. This book was released on 1988 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with classical questions of Algebraic Number Theory concerning the interplay between units, ideal class groups, and ramification for relative extensions of number fields. It includes a large collection of fundamental classical examples, dealing in particular with relative quadratic extensions as well as relative cyclic extensions of odd prime degree. The unified approach is exclusively algebraic in nature.

Basic Algebra

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Publisher : Springer Science & Business Media
ISBN 13 : 0857294288
Total Pages : 470 pages
Book Rating : 4.8/5 (572 download)

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Book Synopsis Basic Algebra by : P.M. Cohn

Download or read book Basic Algebra written by P.M. Cohn and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first volume of a revised edition of P.M. Cohn's classic three-volume text Algebra, widely regarded as one of the most outstanding introductory algebra textbooks. This volume covers the important results of algebra. Readers should have some knowledge of linear algebra, groups and fields, although all the essential facts and definitions are recalled.

Stark's Conjectures: Recent Work and New Directions

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Publisher : American Mathematical Soc.
ISBN 13 : 0821834800
Total Pages : 234 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Stark's Conjectures: Recent Work and New Directions by : David Burns

Download or read book Stark's Conjectures: Recent Work and New Directions written by David Burns and published by American Mathematical Soc.. This book was released on 2004 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stark's conjectures on the behavior of USDLUSD-functions were formulated in the 1970s. Since then, these conjectures and their generalizations have been actively investigated. This has led to significant progress in algebraic number theory. The current volume, based on the conference held at Johns Hopkins University (Baltimore, MD), represents the state-of-the-art research in this area. The first four survey papers provide an introduction to a majority of the recent work related to themes currently under exploration in the area, such as non-abelian and USDpUSD-adic aspects of the conjectures, abelian refinements, etc. Among others, some important contributors to the volume include Harold M. Stark, John Tate, and interested in number theory.

Reviews in Number Theory 1973-83

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Publisher :
ISBN 13 :
Total Pages : 720 pages
Book Rating : 4.:/5 (43 download)

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Book Synopsis Reviews in Number Theory 1973-83 by : Richard K. Guy

Download or read book Reviews in Number Theory 1973-83 written by Richard K. Guy and published by . This book was released on 1984 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Reviews in Number Theory 1984-96

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Publisher :
ISBN 13 :
Total Pages : 1098 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Reviews in Number Theory 1984-96 by :

Download or read book Reviews in Number Theory 1984-96 written by and published by . This book was released on 1997 with total page 1098 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Galois Theory Through Exercises

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Publisher : Springer
ISBN 13 : 331972326X
Total Pages : 296 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Galois Theory Through Exercises by : Juliusz Brzeziński

Download or read book Galois Theory Through Exercises written by Juliusz Brzeziński and published by Springer. This book was released on 2018-03-21 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook offers a unique introduction to classical Galois theory through many concrete examples and exercises of varying difficulty (including computer-assisted exercises). In addition to covering standard material, the book explores topics related to classical problems such as Galois’ theorem on solvable groups of polynomial equations of prime degrees, Nagell's proof of non-solvability by radicals of quintic equations, Tschirnhausen's transformations, lunes of Hippocrates, and Galois' resolvents. Topics related to open conjectures are also discussed, including exercises related to the inverse Galois problem and cyclotomic fields. The author presents proofs of theorems, historical comments and useful references alongside the exercises, providing readers with a well-rounded introduction to the subject and a gateway to further reading. A valuable reference and a rich source of exercises with sample solutions, this book will be useful to both students and lecturers. Its original concept makes it particularly suitable for self-study.

Acta arithmetica

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Publisher :
ISBN 13 :
Total Pages : 440 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Acta arithmetica by :

Download or read book Acta arithmetica written by and published by . This book was released on 1936 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Ramanujan’s Notebooks

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Publisher : Springer Science & Business Media
ISBN 13 : 1461216249
Total Pages : 630 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Ramanujan’s Notebooks by : Bruce C. Berndt

Download or read book Ramanujan’s Notebooks written by Bruce C. Berndt and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fifth and final volume to establish the results claimed by the great Indian mathematician Srinivasa Ramanujan in his "Notebooks" first published in 1957. Although each of the five volumes contains many deep results, the average depth in this volume is possibly greater than in the first four. There are several results on continued fractions - a subject that Ramanujan loved very much. It is the authors wish that this and previous volumes will serve as springboards for further investigations by mathematicians intrigued by Ramanujans remarkable ideas.

Mathematical Reviews

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Publisher :
ISBN 13 :
Total Pages : 892 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2008 with total page 892 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Galois Theory

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Publisher :
ISBN 13 : 9781950217021
Total Pages : 54 pages
Book Rating : 4.2/5 (17 download)

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Book Synopsis Galois Theory by : Emil Artin

Download or read book Galois Theory written by Emil Artin and published by . This book was released on 2020-02 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author Emil Artin is known as one of the greatest mathematicians of the 20th century. He is regarded as a man who gave a modern outlook to Galois theory. Original lectures by the master. This emended edition is with completely new typesetting and corrections. The free PDF file available on the publisher's website www.bowwowpress.org

Number Fields

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Publisher : Springer
ISBN 13 : 3319902334
Total Pages : 213 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Number Fields by : Daniel A. Marcus

Download or read book Number Fields written by Daniel A. Marcus and published by Springer. This book was released on 2018-07-05 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: Requiring no more than a basic knowledge of abstract algebra, this text presents the mathematics of number fields in a straightforward, pedestrian manner. It therefore avoids local methods and presents proofs in a way that highlights the important parts of the arguments. Readers are assumed to be able to fill in the details, which in many places are left as exercises.

Field and Galois Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 1461240409
Total Pages : 294 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Field and Galois Theory by : Patrick Morandi

Download or read book Field and Galois Theory written by Patrick Morandi and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the fall of 1990, I taught Math 581 at New Mexico State University for the first time. This course on field theory is the first semester of the year-long graduate algebra course here at NMSU. In the back of my mind, I thought it would be nice someday to write a book on field theory, one of my favorite mathematical subjects, and I wrote a crude form of lecture notes that semester. Those notes sat undisturbed for three years until late in 1993 when I finally made the decision to turn the notes into a book. The notes were greatly expanded and rewritten, and they were in a form sufficient to be used as the text for Math 581 when I taught it again in the fall of 1994. Part of my desire to write a textbook was due to the nonstandard format of our graduate algebra sequence. The first semester of our sequence is field theory. Our graduate students generally pick up group and ring theory in a senior-level course prior to taking field theory. Since we start with field theory, we would have to jump into the middle of most graduate algebra textbooks. This can make reading the text difficult by not knowing what the author did before the field theory chapters. Therefore, a book devoted to field theory is desirable for us as a text. While there are a number of field theory books around, most of these were less complete than I wanted.

Fields and Galois Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 1846281814
Total Pages : 230 pages
Book Rating : 4.8/5 (462 download)

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Book Synopsis Fields and Galois Theory by : John M. Howie

Download or read book Fields and Galois Theory written by John M. Howie and published by Springer Science & Business Media. This book was released on 2007-09-05 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: A modern and student-friendly introduction to this popular subject: it takes a more "natural" approach and develops the theory at a gentle pace with an emphasis on clear explanations Features plenty of worked examples and exercises, complete with full solutions, to encourage independent study Previous books by Howie in the SUMS series have attracted excellent reviews

Topics in Galois Theory

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Publisher : CRC Press
ISBN 13 : 1439865256
Total Pages : 120 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Topics in Galois Theory by : Jean-Pierre Serre

Download or read book Topics in Galois Theory written by Jean-Pierre Serre and published by CRC Press. This book was released on 2016-04-19 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on a course given by the author at Harvard University in the fall semester of 1988. The course focused on the inverse problem of Galois Theory: the construction of field extensions having a given finite group as Galois group. In the first part of the book, classical methods and results, such as the Scholz and Reichardt constructi

Comprehensive Dissertation Index

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Publisher :
ISBN 13 :
Total Pages : 974 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Comprehensive Dissertation Index by :

Download or read book Comprehensive Dissertation Index written by and published by . This book was released on 1984 with total page 974 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vols. for 1973- include the following subject areas: Biological sciences, Agriculture, Chemistry, Environmental sciences, Health sciences, Engineering, Mathematics and statistics, Earth sciences, Physics, Education, Psychology, Sociology, Anthropology, History, Law & political science, Business & economics, Geography & regional planning, Language & literature, Fine arts, Library & information science, Mass communications, Music, Philosophy and Religion.

Quadratic Number Fields

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Publisher : Springer Nature
ISBN 13 : 3030786528
Total Pages : 348 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Quadratic Number Fields by : Franz Lemmermeyer

Download or read book Quadratic Number Fields written by Franz Lemmermeyer and published by Springer Nature. This book was released on 2021-09-18 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This undergraduate textbook provides an elegant introduction to the arithmetic of quadratic number fields, including many topics not usually covered in books at this level. Quadratic fields offer an introduction to algebraic number theory and some of its central objects: rings of integers, the unit group, ideals and the ideal class group. This textbook provides solid grounding for further study by placing the subject within the greater context of modern algebraic number theory. Going beyond what is usually covered at this level, the book introduces the notion of modularity in the context of quadratic reciprocity, explores the close links between number theory and geometry via Pell conics, and presents applications to Diophantine equations such as the Fermat and Catalan equations as well as elliptic curves. Throughout, the book contains extensive historical comments, numerous exercises (with solutions), and pointers to further study. Assuming a moderate background in elementary number theory and abstract algebra, Quadratic Number Fields offers an engaging first course in algebraic number theory, suitable for upper undergraduate students.

Comprehensive Dissertation Index: Mathematics & Statistics. Physics A-E

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Publisher :
ISBN 13 :
Total Pages : 1008 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Comprehensive Dissertation Index: Mathematics & Statistics. Physics A-E by :

Download or read book Comprehensive Dissertation Index: Mathematics & Statistics. Physics A-E written by and published by . This book was released on 1984 with total page 1008 pages. Available in PDF, EPUB and Kindle. Book excerpt: