The Higher Arithmetic

An Introduction to the Theory of Numbers
Author: H. Davenport
Publisher: Cambridge University Press
ISBN: 9780521634465
Category: Mathematics
Page: 241
View: 4867
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Seventh edition of a classic elementary number theory book.

The higher arithmetic

an introduction to the theory of numbers
Author: Harold Davenport
Publisher: N.A
ISBN: N.A
Category: Mathematics
Page: 172
View: 5282
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An Elementary Arithmetic ...

Serving as an Introduction to the Higher Arithmetic
Author: George Roberts Perkins
Publisher: N.A
ISBN: N.A
Category: Arithmetic
Page: 258
View: 2023
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Quadratic Number Theory: An Invitation to Algebraic Methods in the Higher Arithmetic


Author: J. L. Lehman
Publisher: American Mathematical Soc.
ISBN: 1470447371
Category:
Page: 394
View: 5549
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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.

Ray's New Higher Arithmetic

A Revised Edition of the Higher Arithmetic
Author: Joseph Ray
Publisher: N.A
ISBN: N.A
Category: Arithmetic
Page: 408
View: 7064
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Higher Arithmetic; Or The Science and Application of Numbers

Combining the Analytic and Synthetic Modes of Instruction
Author: James Bates Thomson
Publisher: N.A
ISBN: N.A
Category:
Page: N.A
View: 2009
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Higher Arithmetic

Or the Science and Application of Numbers, Combining the Analytic and Synthetic Modes of Instruction ...
Author: James Bates Thomson
Publisher: N.A
ISBN: N.A
Category: Arithmetic
Page: 422
View: 4645
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A Key to Higher Arithmetic ...


Author: James Bates Thomson
Publisher: N.A
ISBN: N.A
Category:
Page: N.A
View: 8236
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Higher Arithmetic, Or, the Science and Application of Numbers

Combining the Analytic and Synthetic Modes of Instruction, Designed for Advanced Class
Author: James B. (James Bates) Thomson
Publisher: Hardpress Publishing
ISBN: 9781290054799
Category:
Page: 438
View: 1503
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Unlike some other reproductions of classic texts (1) We have not used OCR(Optical Character Recognition), as this leads to bad quality books with introduced typos. (2) In books where there are images such as portraits, maps, sketches etc We have endeavoured to keep the quality of these images, so they represent accurately the original artefact. Although occasionally there may be certain imperfections with these old texts, we feel they deserve to be made available for future generations to enjoy.

The Nature and Growth of Modern Mathematics


Author: Edna Ernestine Kramer
Publisher: Princeton University Press
ISBN: 9780691023724
Category: Mathematics
Page: 758
View: 5439
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Now available in a one-volume paperback, this book traces the development of the most important mathematical concepts, giving special attention to the lives and thoughts of such mathematical innovators as Pythagoras, Newton, Poincare, and Godel. Beginning with a Sumerian short story--ultimately linked to modern digital computers--the author clearly introduces concepts of binary operations; point-set topology; the nature of post-relativity geometries; optimization and decision processes; ergodic theorems; epsilon-delta arithmetization; integral equations; the beautiful "ideals" of Dedekind and Emmy Noether; and the importance of "purifying" mathematics. Organizing her material in a conceptual rather than a chronological manner, she integrates the traditional with the modern, enlivening her discussions with historical and biographical detail.

Higher arithmetic

designed for the use of high schools and colleges and for self instruction
Author: Frederick Augustus Smith
Publisher: N.A
ISBN: N.A
Category: Mathematics
Page: 137
View: 6196
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Higher Arithmetic

Designed for the Use of High Schools, Academies, and Colleges ... with an Appendix
Author: George Roberts Perkins
Publisher: N.A
ISBN: N.A
Category: Arithmetic
Page: 342
View: 3488
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Combinatory Analysis


Author: Percy A. MacMahon
Publisher: American Mathematical Soc.
ISBN: 0821828320
Category: Mathematics
Page: 642
View: 523
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By ``combinatory analysis'', the author understands the part of combinatorics now known as ``algebraic combinatorics''. In this book, the classical results of the outstanding 19th century school of British mathematicians are presented with great clarity and completeness. From the Introduction (1915): ``The object of this work is, in the main, to present to mathematicians an account of theorems in combinatory analysis which are of a perfectly general character, and to show the connection between them by as far as possible bringing them together as parts of a general doctrine. It may appeal also to others whose reading has not been very extensive. They may not improbably find here some new points of view and suggestions which may prompt them to original investigation in a fascinating subject ... ``In the present volume there appears a certain amount of original matter which has not before been published. It involves the author's preliminary researches in combinatory theory which have been carried out during the last thirty years. For the most part it is original work which, however, owes much to valuable papers by Cayley, Sylvester, and Hammond.''

Higher arithmetic


Author: Charles William Morey
Publisher: N.A
ISBN: N.A
Category: Mathematics
Page: 288
View: 7044
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The Progressive Higher Arithmetic for Schools Academies, and Mercantile Colleges

Combining the Analytic and Synthetic Methods ...
Author: Horatio Nelson Robinson
Publisher: N.A
ISBN: N.A
Category: Arithmetic
Page: 422
View: 1918
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Higher Arithmetic

An Algorithmic Introduction to Number Theory
Author: Harold M. Edwards
Publisher: American Mathematical Soc.
ISBN: 9780821844397
Category: Mathematics
Page: 210
View: 3781
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Although number theorists have sometimes shunned and even disparaged computation in the past, today's applications of number theory to cryptography and computer security demand vast arithmetical computations. These demands have shifted the focus of studies in number theory and have changed attitudes toward computation itself. The important new applications have attracted a great many students to number theory, but the best reason for studying the subject remains what it was when Gauss published his classic Disquisitiones Arithmeticae in 1801: Number theory is the equal of Euclidean geometry--some would say it is superior to Euclidean geometry--as a model of pure, logical, deductive thinking. An arithmetical computation, after all, is the purest form of deductive argument. Higher Arithmetic explains number theory in a way that gives deductive reasoning, including algorithms and computations, the central role. Hands-on experience with the application of algorithms to computational examples enables students to master the fundamental ideas of basic number theory. This is a worthwhile goal for any student of mathematics and an essential one for students interested in the modern applications of number theory. Harold M. Edwards is Emeritus Professor of Mathematics at New York University. His previous books are Advanced Calculus (1969, 1980, 1993), Riemann's Zeta Function (1974, 2001), Fermat's Last Theorem (1977), Galois Theory (1984), Divisor Theory (1990), Linear Algebra (1995), and Essays in Constructive Mathematics (2005). For his masterly mathematical exposition he was awarded a Steele Prize as well as a Whiteman Prize by the American Mathematical Society.

Key to the Progressive Higher Arithmetic, for Teachers and Private Learners


Author: N.A
Publisher: N.A
ISBN: N.A
Category:
Page: 247
View: 8079
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The Development of Mathematics


Author: E. T. Bell
Publisher: Courier Corporation
ISBN: 0486152286
Category: Mathematics
Page: 656
View: 1054
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Time-honored study by a prominent scholar of mathematics traces decisive epochs from the evolution of mathematical ideas in ancient Egypt and Babylonia to major breakthroughs in the 19th and 20th centuries. 1945 edition.