Calendrical Calculations

Calendrical Calculations PDF Author: Nachum Dershowitz
Publisher: Cambridge University Press
ISBN: 052188540X
Category : Computers
Languages : en
Pages : 114

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Book Description
Expanded coverage includes generic cyclical calendars, astronomical lunar calendars, and the Korean, Vietnamese, Aztec, and Tibetan calendars.

Calendrical Calculations

Calendrical Calculations PDF Author: Nachum Dershowitz
Publisher: Cambridge University Press
ISBN: 052188540X
Category : Computers
Languages : en
Pages : 114

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Book Description
Expanded coverage includes generic cyclical calendars, astronomical lunar calendars, and the Korean, Vietnamese, Aztec, and Tibetan calendars.

Recreations in the Theory of Numbers

Recreations in the Theory of Numbers PDF Author: Albert H. Beiler
Publisher: Courier Corporation
ISBN: 0486210960
Category : Games & Activities
Languages : en
Pages : 383

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Book Description
Number theory proves to be a virtually inexhaustible source of intriguing puzzle problems. Includes divisors, perfect numbers, the congruences of Gauss, scales of notation, the Pell equation, more. Solutions to all problems.

Elementary Number Theory with Applications

Elementary Number Theory with Applications PDF Author: Thomas Koshy
Publisher: Elsevier
ISBN: 0080547095
Category : Mathematics
Languages : en
Pages : 801

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Book Description
This second edition updates the well-regarded 2001 publication with new short sections on topics like Catalan numbers and their relationship to Pascal's triangle and Mersenne numbers, Pollard rho factorization method, Hoggatt-Hensell identity. Koshy has added a new chapter on continued fractions. The unique features of the first edition like news of recent discoveries, biographical sketches of mathematicians, and applications--like the use of congruence in scheduling of a round-robin tournament--are being refreshed with current information. More challenging exercises are included both in the textbook and in the instructor's manual. Elementary Number Theory with Applications 2e is ideally suited for undergraduate students and is especially appropriate for prospective and in-service math teachers at the high school and middle school levels. * Loaded with pedagogical features including fully worked examples, graded exercises, chapter summaries, and computer exercises * Covers crucial applications of theory like computer security, ISBNs, ZIP codes, and UPC bar codes * Biographical sketches lay out the history of mathematics, emphasizing its roots in India and the Middle East

NBSIR.

NBSIR. PDF Author:
Publisher:
ISBN:
Category : Research, Industrial
Languages : en
Pages : 316

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Book Description


Elementary Number Theory in Nine Chapters

Elementary Number Theory in Nine Chapters PDF Author: James J. Tattersall
Publisher: Cambridge University Press
ISBN: 9780521585316
Category : Mathematics
Languages : en
Pages : 420

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Book Description
This book is intended to serve as a one-semester introductory course in number theory. Throughout the book a historical perspective has been adopted and emphasis is given to some of the subject's applied aspects; in particular the field of cryptography is highlighted. At the heart of the book are the major number theoretic accomplishments of Euclid, Fermat, Gauss, Legendre, and Euler, and to fully illustrate the properties of numbers and concepts developed in the text, a wealth of exercises have been included. It is assumed that the reader will have 'pencil in hand' and ready access to a calculator or computer. For students new to number theory, whatever their background, this is a stimulating and entertaining introduction to the subject.

Collected Writings, 1920-1950

Collected Writings, 1920-1950 PDF Author: Alfred Korzybski
Publisher: Institute of GS
ISBN: 9780910780087
Category : Language Arts & Disciplines
Languages : en
Pages : 952

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Book Description
Fifty-six items, plus documentary 'supplements', can be considered a biographical as well as theoretical working edition of the origins and development of Korzybski's revolutionary system called "general semantics".

Chases and Escapes

Chases and Escapes PDF Author: Paul Nahin
Publisher: Princeton University Press
ISBN: 1400842069
Category : Mathematics
Languages : en
Pages : 285

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Book Description
We all played tag when we were kids. What most of us don't realize is that this simple chase game is in fact an application of pursuit theory, and that the same principles of games like tag, dodgeball, and hide-and-seek are also at play in military strategy, high-seas chases by the Coast Guard, and even romantic pursuits. In Chases and Escapes, Paul Nahin gives us the first complete history of this fascinating area of mathematics, from its classical analytical beginnings to the present day. Drawing on game theory, geometry, linear algebra, target-tracking algorithms, and much more, Nahin also offers an array of challenging puzzles with their historical background and broader applications. Chases and Escapes includes solutions to all problems and provides computer programs that readers can use for their own cutting-edge analysis. Now with a gripping new preface on how the Enola Gay escaped the shock wave from the atomic bomb dropped on Hiroshima, this book will appeal to anyone interested in the mathematics that underlie pursuit and evasion. Some images inside the book are unavailable due to digital copyright restrictions.

From Kant to Hilbert Volume 2

From Kant to Hilbert Volume 2 PDF Author: William Bragg Ewald
Publisher: OUP Oxford
ISBN: 0191523100
Category : Mathematics
Languages : en
Pages : 710

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Book Description
Immanuel Kant's Critique of Pure Reason is widely taken to be the starting point of the modern period of mathematics while David Hilbert was the last great mainstream mathematician to pursue important nineteenth cnetury ideas. This two-volume work provides an overview of this important era of mathematical research through a carefully chosen selection of articles. They provide an insight into the foundations of each of the main branches of mathematics—algebra, geometry, number theory, analysis, logic and set theory—with narratives to show how they are linked. Classic works by Bolzano, Riemann, Hamilton, Dedekind, and Poincare are reproduced in reliable translations and many selections from writers such as Gauss, Cantor, Kronecker and Zermelo are here translated for the first time. The collection is an invaluable source for anyone wishing to gain an understanding of the foundation of modern mathematics.

Apollonius of Perga's Conica

Apollonius of Perga's Conica PDF Author: Michael Fried
Publisher: BRILL
ISBN: 9004350993
Category : Literary Criticism
Languages : en
Pages : 512

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Book Description
This volume contains a historically sensitive analysis and interpretation of Apollonius of Perga's Conica, one of the greatest works of Hellenistic mathematics. It provides a long overdue alternative to H. G. Zeuthen's Die Lehre von den Kogelschnitten im Altertum.

Historiography of Mathematics in the 19th and 20th Centuries

Historiography of Mathematics in the 19th and 20th Centuries PDF Author: Volker R. Remmert
Publisher: Birkhäuser
ISBN: 3319396498
Category : Mathematics
Languages : en
Pages : 282

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Book Description
This book addresses the historiography of mathematics as it was practiced during the 19th and 20th centuries by paying special attention to the cultural contexts in which the history of mathematics was written. In the 19th century, the history of mathematics was recorded by a diverse range of people trained in various fields and driven by different motivations and aims. These backgrounds often shaped not only their writing on the history of mathematics, but, in some instances, were also influential in their subsequent reception. During the period from roughly 1880-1940, mathematics modernized in important ways, with regard to its content, its conditions for cultivation, and its identity; and the writing of the history of mathematics played into the last part in particular. Parallel to the modernization of mathematics, the history of mathematics gradually evolved into a field of research with its own journals, societies and academic positions. Reflecting both a new professional identity and changes in its primary audience, various shifts of perspective in the way the history of mathematics was and is written can still be observed to this day. Initially concentrating on major internal, universal developments in certain sub-disciplines of mathematics, the field gradually gravitated towards a focus on contexts of knowledge production involving individuals, local practices, problems, communities, and networks. The goal of this book is to link these disciplinary and methodological changes in the history of mathematics to the broader cultural contexts of its practitioners, namely the historians of mathematics during the period in question.