The Higher Arithmetic

Author : Harold Davenport
Publisher :
ISBN 13 : 9780511650161
Total Pages : 251 pages
Book Rating : 4.67/5 ( download)

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Download or read book The Higher Arithmetic written by Harold Davenport and published by . This book was released on 2014-05-14 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
ISBN 13 : 9780821844397
Total Pages : 228 pages
Book Rating : 4.93/5 ( download)

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Download or read book Higher Arithmetic written by Harold M. Edwards and published by American Mathematical Soc.. This book was released on 2008 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Joseph Ray
Publisher :
ISBN 13 :
Total Pages : 420 pages
Book Rating : 4.02/5 ( download)

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Download or read book Ray's New Higher Arithmetic written by Joseph Ray and published by . This book was released on 1880 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : H. Davenport
Publisher : Cambridge University Press
ISBN 13 : 9780521632690
Total Pages : 241 pages
Book Rating : 4.92/5 ( download)

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Download or read book The Higher Arithmetic written by H. Davenport and published by Cambridge University Press. This book was released on 1999-12-09 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: Updated in a seventh edition, The Higher Arithmetic introduces concepts and theorems in a way that does not require the reader to have an in-depth knowledge of the theory of numbers, and also touches on matters of deep mathematical significance. This new edition includes state of the art material on the use of computers in number theory, as well as taking full account of the proving of Fermat's last theorem.

Author : J. L. Lehman
Publisher : American Mathematical Soc.
ISBN 13 : 1470447371
Total Pages : 394 pages
Book Rating : 4.73/5 ( download)

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Download or read book Quadratic Number Theory: An Invitation to Algebraic Methods in the Higher Arithmetic written by J. L. Lehman and published by American Mathematical Soc.. This book was released on 2019-02-13 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Harold Davenport
Publisher :
ISBN 13 : 9780090306114
Total Pages : 172 pages
Book Rating : 4.12/5 ( download)

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Download or read book The Higher Arithmetic written by Harold Davenport and published by . This book was released on 1968 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Bjorn Poonen
Publisher : Springer Science & Business Media
ISBN 13 : 0817681701
Total Pages : 292 pages
Book Rating : 4.08/5 ( download)

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Download or read book Arithmetic of Higher-Dimensional Algebraic Varieties written by Bjorn Poonen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Norman T. Hamilton
Publisher : Courier Dover Publications
ISBN 13 : 0486830470
Total Pages : 288 pages
Book Rating : 4.76/5 ( download)

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Download or read book Set Theory: The Structure of Arithmetic written by Norman T. Hamilton and published by Courier Dover Publications. This book was released on 2018-05-16 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is formulated on the fundamental idea that much of mathematics, including the classical number systems, can best be based on set theory. 1961 edition.

Author : Charles Stanley Ogilvy
Publisher : Courier Corporation
ISBN 13 : 9780486257785
Total Pages : 196 pages
Book Rating : 4.89/5 ( download)

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Download or read book Excursions in Number Theory written by Charles Stanley Ogilvy and published by Courier Corporation. This book was released on 1988-01-01 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Challenging, accessible mathematical adventures involving prime numbers, number patterns, irrationals and iterations, calculating prodigies, and more. No special training is needed, just high school mathematics and an inquisitive mind. "A splendidly written, well selected and presented collection. I recommend the book unreservedly to all readers." — Martin Gardner.

Author : Andrew Adler
Publisher : Jones & Bartlett Publishers
ISBN 13 :
Total Pages : 424 pages
Book Rating : 4.36/5 ( download)

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Download or read book The Theory of Numbers written by Andrew Adler and published by Jones & Bartlett Publishers. This book was released on 1995 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: