Scripta Mathematica
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Recreations In The Theory Of Numbers
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Author : Albert H. Beiler
language : en
Publisher: Courier Corporation
Release Date : 1964-01-01
Recreations In The Theory Of Numbers written by Albert H. Beiler and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964-01-01 with Games & Activities categories.
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.
Scripta Mathematica
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Author : Jekuthiel Ginsburg
language : en
Publisher:
Release Date : 1967
Scripta Mathematica written by Jekuthiel Ginsburg and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Mathematics categories.
Includes section "Book reviews."
The Doctrine Of Triangles
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Author : Glen Van Brummelen
language : en
Publisher: Princeton University Press
Release Date : 2025-06-17
The Doctrine Of Triangles written by Glen Van Brummelen and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-06-17 with Mathematics categories.
An interdisciplinary history of trigonometry from the mid-sixteenth century to the early twentieth The Doctrine of Triangles offers an interdisciplinary history of trigonometry that spans four centuries, starting in 1550 and concluding in the 1900s. Glen Van Brummelen tells the story of trigonometry as it evolved from an instrument for understanding the heavens to a practical tool, used in fields such as surveying and navigation. In Europe, China, and America, trigonometry aided and was itself transformed by concurrent mathematical revolutions, as well as the rise of science and technology. Following its uses in mid-sixteenth-century Europe as the "foot of the ladder to the stars" and the mathematical helpmate of astronomy, trigonometry became a ubiquitous tool for modeling various phenomena, including animal populations and sound waves. In the late sixteenth century, trigonometry increasingly entered the physical world through the practical disciplines, and its societal reach expanded with the invention of logarithms. Calculus shifted mathematical reasoning from geometric to algebraic patterns of thought, and trigonometry’s participation in this new mathematical analysis grew, encouraging such innovations as complex numbers and non-Euclidean geometry. Meanwhile in China, trigonometry was evolving rapidly too, sometimes merging with indigenous forms of knowledge, and with Western discoveries. In the nineteenth century, trigonometry became even more integral to science and industry as a fundamental part of the science and engineering toolbox, and a staple subject in high school classrooms. A masterful combination of scholarly rigor and compelling narrative, The Doctrine of Triangles brings trigonometry’s rich historical past full circle into the modern era.
Collected Writings 1920 1950
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Author : Alfred Korzybski
language : en
Publisher: Institute of GS
Release Date : 1990
Collected Writings 1920 1950 written by Alfred Korzybski and has been published by Institute of GS this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Language Arts & Disciplines categories.
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".
Great Muslim Mathematicians
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Author : Mohaini Mohamed
language : en
Publisher: Penerbit UTM
Release Date : 2000
Great Muslim Mathematicians written by Mohaini Mohamed and has been published by Penerbit UTM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Islamic civilization categories.
This book presents detailed accounts and analysis of the lives and world view of selected mathematicians of the Islamic period, their place in the world of science, the popularization of their lives, and their contributions specifically in mathematics and astronomy.
Elementary Number Theory With Applications
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Author : Thomas Koshy
language : en
Publisher: Elsevier
Release Date : 2007-05-08
Elementary Number Theory With Applications written by Thomas Koshy and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-08 with Mathematics categories.
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
Elementary Number Theory In Nine Chapters
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Author : James J. Tattersall
language : en
Publisher: Cambridge University Press
Release Date : 1999-10-14
Elementary Number Theory In Nine Chapters written by James J. Tattersall and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-10-14 with Mathematics categories.
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.
From Kant To Hilbert Volume 2
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Author : William Bragg Ewald
language : en
Publisher: OUP Oxford
Release Date : 2005-04-21
From Kant To Hilbert Volume 2 written by William Bragg Ewald and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-04-21 with Mathematics categories.
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.
Historiography Of Mathematics In The 19th And 20th Centuries
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Author : Volker R. Remmert
language : en
Publisher: Birkhäuser
Release Date : 2016-12-08
Historiography Of Mathematics In The 19th And 20th Centuries written by Volker R. Remmert and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12-08 with Mathematics categories.
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.
Apollonius Of Perga S Conica
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Author : Michael Fried
language : en
Publisher: BRILL
Release Date : 2017-09-18
Apollonius Of Perga S Conica written by Michael Fried and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-18 with Literary Criticism categories.
This volume takes a new look at one of the greatest works of Hellenistic mathematics, Apollonius of Perga's Conica. It provides a long overdue alternative to H.G. Zeuthen's Die Lehre von den Kegelschnitten im Altertum. The central part of the volume contains a historically sensitive analysis and interpretation of the entire Conica, both from the standpoint of its individual books and of the text as a whole. Particular attention is given to Books V-VII, which have had scant treatment until now. Two chapters in the volume concern histioriographic issues connected with the Conica in paricular and Greek mathematics in general. Although the volume is intended primarily for historians of ancient mathematics, its approach is fresh and engaging enough to be of interest also to historians, philosophers, linguists, and open-minded mathematicians.