The Higher Arithmetic
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Author |
: Harold Davenport |
Publisher |
: |
Total Pages |
: 251 |
Release |
: 2014-05-14 |
ISBN-10 |
: 0511650167 |
ISBN-13 |
: 9780511650161 |
Rating |
: 4/5 (67 Downloads) |
Synopsis The Higher Arithmetic by : Harold Davenport
Classic text in number theory; this eighth edition contains new material on primality testing written by J. H. Davenport.
Author |
: Harold M. Edwards |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 228 |
Release |
: 2008 |
ISBN-10 |
: 0821844393 |
ISBN-13 |
: 9780821844397 |
Rating |
: 4/5 (93 Downloads) |
Synopsis Higher Arithmetic by : Harold M. Edwards
Among the topics featured in this textbook are: congruences; the fundamental theorem of arithmetic; exponentiation and orders; primality testing; the RSA cipher system; polynomials; modules of hypernumbers; signatures of equivalence classes; and the theory of binary quadratic forms. The book contains exercises with answers.
Author |
: J. L. Lehman |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 410 |
Release |
: 2019-02-13 |
ISBN-10 |
: 9781470447373 |
ISBN-13 |
: 1470447371 |
Rating |
: 4/5 (73 Downloads) |
Synopsis Quadratic Number Theory by : J. L. Lehman
Quadratic Number Theory is an introduction to algebraic number theory for readers with a moderate knowledge of elementary number theory and some familiarity with the terminology of abstract algebra. By restricting attention to questions about squares the author achieves the dual goals of making the presentation accessible to undergraduates and reflecting the historical roots of the subject. The representation of integers by quadratic forms is emphasized throughout the text. Lehman introduces an innovative notation for ideals of a quadratic domain that greatly facilitates computation and he uses this to particular effect. The text has an unusual focus on actual computation. This focus, and this notation, serve the author's historical purpose as well; ideals can be seen as number-like objects, as Kummer and Dedekind conceived of them. The notation can be adapted to quadratic forms and provides insight into the connection between quadratic forms and ideals. The computation of class groups and continued fraction representations are featured—the author's notation makes these computations particularly illuminating. Quadratic Number Theory, with its exceptionally clear prose, hundreds of exercises, and historical motivation, would make an excellent textbook for a second undergraduate course in number theory. The clarity of the exposition would also make it a terrific choice for independent reading. It will be exceptionally useful as a fruitful launching pad for undergraduate research projects in algebraic number theory.
Author |
: Bjorn Poonen |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 292 |
Release |
: 2012-12-06 |
ISBN-10 |
: 9780817681708 |
ISBN-13 |
: 0817681701 |
Rating |
: 4/5 (08 Downloads) |
Synopsis Arithmetic of Higher-Dimensional Algebraic Varieties by : Bjorn Poonen
This text offers a collection of survey and research papers by leading specialists in the field documenting the current understanding of higher dimensional varieties. Recently, it has become clear that ideas from many branches of mathematics can be successfully employed in the study of rational and integral points. This book will be very valuable for researchers from these various fields who have an interest in arithmetic applications, specialists in arithmetic geometry itself, and graduate students wishing to pursue research in this area.
Author |
: Edward Sang |
Publisher |
: BoD – Books on Demand |
Total Pages |
: 202 |
Release |
: 2023-11-08 |
ISBN-10 |
: 9783375171407 |
ISBN-13 |
: 3375171404 |
Rating |
: 4/5 (07 Downloads) |
Synopsis The Higher Arithmetic by : Edward Sang
Reprint of the original, first published in 1857.
Author |
: Joseph 1807-1855 Ray |
Publisher |
: Legare Street Press |
Total Pages |
: 420 |
Release |
: 2021-09-09 |
ISBN-10 |
: 1013323033 |
ISBN-13 |
: 9781013323034 |
Rating |
: 4/5 (33 Downloads) |
Synopsis Ray's New Higher Arithmetic by : Joseph 1807-1855 Ray
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author |
: Joseph Ray |
Publisher |
: Ravenio Books |
Total Pages |
: 162 |
Release |
: |
ISBN-10 |
: |
ISBN-13 |
: |
Rating |
: 4/5 ( Downloads) |
Synopsis Ray's New Primary Arithmetic by : Joseph Ray
In 19th century America, Joseph Ray was the McGuffey of arithmetic. His textbooks, used throughout the United States, laid the mathematical foundations for the generations of inventors, engineers and businessmen who would make the nation a world power.
Author |
: Andrew Adler |
Publisher |
: Jones & Bartlett Publishers |
Total Pages |
: 424 |
Release |
: 1995 |
ISBN-10 |
: UOM:39015048558236 |
ISBN-13 |
: |
Rating |
: 4/5 (36 Downloads) |
Synopsis The Theory of Numbers by : Andrew Adler
Author |
: Joseph Ray |
Publisher |
: |
Total Pages |
: 400 |
Release |
: 1856 |
ISBN-10 |
: HARVARD:32044096998745 |
ISBN-13 |
: |
Rating |
: 4/5 (45 Downloads) |
Synopsis The Principles of Arithmetic ... by : Joseph Ray
Author |
: Franz Lemmermeyer |
Publisher |
: Springer Nature |
Total Pages |
: 348 |
Release |
: 2021-09-18 |
ISBN-10 |
: 9783030786526 |
ISBN-13 |
: 3030786528 |
Rating |
: 4/5 (26 Downloads) |
Synopsis Quadratic Number Fields by : Franz Lemmermeyer
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.