The Higher Arithmetic
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Author | : Harold Davenport |
Publisher | : |
Total Pages | : 251 |
Release | : 2014-05-14 |
Genre | : Mathematics |
ISBN | : 9780511650161 |
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 |
Genre | : Mathematics |
ISBN | : 9780821844397 |
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 | : H. Davenport |
Publisher | : Cambridge University Press |
Total Pages | : 248 |
Release | : 1999-12-09 |
Genre | : Mathematics |
ISBN | : 9780521634465 |
Seventh edition of a classic elementary number theory book.
Author | : Harold Davenport |
Publisher | : |
Total Pages | : 172 |
Release | : 1968 |
Genre | : Number theory |
ISBN | : 9780090306114 |
Author | : Bjorn Poonen |
Publisher | : Springer Science & Business Media |
Total Pages | : 292 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 0817681701 |
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 | : J. L. Lehman |
Publisher | : American Mathematical Soc. |
Total Pages | : 410 |
Release | : 2019-02-13 |
Genre | : Mathematics |
ISBN | : 1470447371 |
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 | : Joseph 1807-1855 Ray |
Publisher | : Legare Street Press |
Total Pages | : 420 |
Release | : 2021-09-09 |
Genre | : |
ISBN | : 9781013323034 |
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 | : James Harold Davenport |
Publisher | : |
Total Pages | : 239 |
Release | : 2015 |
Genre | : Number theory |
ISBN | : 9787519205317 |
Author | : H. Davenport |
Publisher | : Cambridge University Press |
Total Pages | : 217 |
Release | : 1992-09-17 |
Genre | : Mathematics |
ISBN | : 9780521419987 |
Now into its sixth edition with an additional chapter on computers & number theory, this work introduces concepts & theorems in a way that does not require the reader to have an in depth knowledge of the theory of numbers.
Author | : Paul Lockhart |
Publisher | : Harvard University Press |
Total Pages | : 232 |
Release | : 2019-07-15 |
Genre | : Mathematics |
ISBN | : 067423751X |
Paul Lockhart reveals arithmetic not as the rote manipulation of numbers but as a set of ideas that exhibit the surprising behaviors usually reserved for higher branches of mathematics. In this entertaining survey, he explores the nature of counting and different number systems—Western and non-Western—and weighs the pluses and minuses of each.