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Author by : Edward Olney
Languange Used : en
Release Date : 1880
Publisher by :

ISBN : HARVARD:32044097000723

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Author by : Paul Lockhart
Languange Used : en
Release Date : 2019-07-15
Publisher by : Harvard University Press

ISBN : 9780674237513

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....

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Author by : George Albert Wentworth
Languange Used : en
Release Date : 1900
Publisher by :

ISBN : HARVARD:32044097004238

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Author by : Nicomachus (of Gerasa.)
Languange Used : en
Release Date : 1926
Publisher by :

ISBN : UOM:39015005675411

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Author by : Olivier Bordellès
Languange Used : en
Release Date : 2012-05-31
Publisher by : Springer Science & Business Media

ISBN : 9781447140962

Number theory was once famously labeled the queen of mathematics by Gauss. The multiplicative structure of the integers in particular deals with many fascinating problems some of which are easy to understand but very difficult to solve. In the past, a variety of very different techniques has been applied to further its understanding. Classical methods in analytic theory such as Mertens’ theorem and Chebyshev’s inequalities and the celebrated Prime Number Theorem give estimates for the distribution of prime numbers. Later on, multiplicative structure of integers leads to multiplicative arithmetical functions for which there are many important examples in number theory. Their theory involves the Dirichlet convolution product which arises with the inclusion of several summation techniques and a survey of classical results such as Hall and Tenenbaum’s theorem and the Möbius Inversion Formula. Another topic is the counting integer points close to smooth curves and its relation to the distribution of squarefree numbers, which is rarely covered in existing texts. Final chapters focus on exponential sums and algebraic number fields. A number of exercises at varying levels are also included. Topics in Multiplicative Number Theory introduces offers a comprehensive introduction into these topics with an emphasis on analytic number theory. Since it requires very little technical expertise it will appeal to a wide target group including upper level undergraduates, doctoral and masters level students....

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Author by : David Eugene Smith
Languange Used : en
Release Date : 1909
Publisher by :

ISBN : UOM:39015077978875

This work has been prepared with a view to the needs of those who are giving instruction or supervising the work in arithmetic in the elementary schools. If this volume serves to make arithmetic more interesting to teacher and pupil, to make it touch more clearly the vital questions of daily live, to point out a line of work that is free from eccentricities, and to present a broad view of the subject, then the ambitions of the author will have been realized....

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Author by : George Wentworth
Languange Used : en
Release Date : 1915
Publisher by :

ISBN : HARVARD:32044097008700

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Author by : Peter Kornerup
Languange Used : en
Release Date : 2010-09-30
Publisher by : Cambridge University Press

ISBN : 9781139643559

Fundamental arithmetic operations support virtually all of the engineering, scientific, and financial computations required for practical applications, from cryptography, to financial planning, to rocket science. This comprehensive reference provides researchers with the thorough understanding of number representations that is a necessary foundation for designing efficient arithmetic algorithms. Using the elementary foundations of radix number systems as a basis for arithmetic, the authors develop and compare alternative algorithms for the fundamental operations of addition, multiplication, division, and square root with precisely defined roundings. Various finite precision number systems are investigated, with the focus on comparative analysis of practically efficient algorithms for closed arithmetic operations over these systems. Each chapter begins with an introduction to its contents and ends with bibliographic notes and an extensive bibliography. The book may also be used for graduate teaching: problems and exercises are scattered throughout the text and a solutions manual is available for instructors....

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Author by : Robert Lomond Swain
Languange Used : en
Release Date : 1960
Publisher by :

ISBN : UOM:39015013153740

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Author by : Franklin Sherman Hoyte
Languange Used : en
Release Date : 1926
Publisher by :

ISBN : UCAL:$B306390

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