Making up Numbers: A History of Invention in Mathematics

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Publisher : Open Book Publishers
ISBN 13 : 1800640978
Total Pages : 282 pages
Book Rating : 4.8/5 (6 download)

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Book Synopsis Making up Numbers: A History of Invention in Mathematics by : Ekkehard Kopp

Download or read book Making up Numbers: A History of Invention in Mathematics written by Ekkehard Kopp and published by Open Book Publishers. This book was released on 2020-10-23 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: Making up Numbers: A History of Invention in Mathematics offers a detailed but accessible account of a wide range of mathematical ideas. Starting with elementary concepts, it leads the reader towards aspects of current mathematical research. The book explains how conceptual hurdles in the development of numbers and number systems were overcome in the course of history, from Babylon to Classical Greece, from the Middle Ages to the Renaissance, and so to the nineteenth and twentieth centuries. The narrative moves from the Pythagorean insistence on positive multiples to the gradual acceptance of negative numbers, irrationals and complex numbers as essential tools in quantitative analysis. Within this chronological framework, chapters are organised thematically, covering a variety of topics and contexts: writing and solving equations, geometric construction, coordinates and complex numbers, perceptions of ‘infinity’ and its permissible uses in mathematics, number systems, and evolving views of the role of axioms. Through this approach, the author demonstrates that changes in our understanding of numbers have often relied on the breaking of long-held conventions to make way for new inventions at once providing greater clarity and widening mathematical horizons. Viewed from this historical perspective, mathematical abstraction emerges as neither mysterious nor immutable, but as a contingent, developing human activity. Making up Numbers will be of great interest to undergraduate and A-level students of mathematics, as well as secondary school teachers of the subject. In virtue of its detailed treatment of mathematical ideas, it will be of value to anyone seeking to learn more about the development of the subject.

Elements of plane trigonometry

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Publisher :
ISBN 13 :
Total Pages : 132 pages
Book Rating : 4.R/5 (5 download)

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Book Synopsis Elements of plane trigonometry by : Hugh Blackburn

Download or read book Elements of plane trigonometry written by Hugh Blackburn and published by . This book was released on 1871 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Geometry of Conics

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Publisher :
ISBN 13 :
Total Pages : 121 pages
Book Rating : 4.L/5 ( download)

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Book Synopsis The Geometry of Conics by : Charles Taylor

Download or read book The Geometry of Conics written by Charles Taylor and published by . This book was released on 1872 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Creators of Mathematical and Computational Sciences

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Publisher : Springer
ISBN 13 : 3319108700
Total Pages : 514 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Creators of Mathematical and Computational Sciences by : Ravi P Agarwal

Download or read book Creators of Mathematical and Computational Sciences written by Ravi P Agarwal and published by Springer. This book was released on 2014-11-11 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: ​The book records the essential discoveries of mathematical and computational scientists in chronological order, following the birth of ideas on the basis of prior ideas ad infinitum. The authors document the winding path of mathematical scholarship throughout history, and most importantly, the thought process of each individual that resulted in the mastery of their subject. The book implicitly addresses the nature and character of every scientist as one tries to understand their visible actions in both adverse and congenial environments. The authors hope that this will enable the reader to understand their mode of thinking, and perhaps even to emulate their virtues in life.

Lectures on Ten British Mathematicians of the Nineteenth Century

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Publisher :
ISBN 13 :
Total Pages : 162 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis Lectures on Ten British Mathematicians of the Nineteenth Century by : Alexander Macfarlane

Download or read book Lectures on Ten British Mathematicians of the Nineteenth Century written by Alexander Macfarlane and published by . This book was released on 1916 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Geometry in History

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Publisher : Springer Nature
ISBN 13 : 3030136094
Total Pages : 759 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Geometry in History by : S. G. Dani

Download or read book Geometry in History written by S. G. Dani and published by Springer Nature. This book was released on 2019-10-18 with total page 759 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a collection of surveys on important mathematical ideas, their origin, their evolution and their impact in current research. The authors are mathematicians who are leading experts in their fields. The book is addressed to all mathematicians, from undergraduate students to senior researchers, regardless of the specialty.

The Development of Newtonian Calculus in Britain, 1700-1800

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Publisher : Cambridge University Press
ISBN 13 : 9780521524841
Total Pages : 246 pages
Book Rating : 4.5/5 (248 download)

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Book Synopsis The Development of Newtonian Calculus in Britain, 1700-1800 by : Niccol- Guicciardini

Download or read book The Development of Newtonian Calculus in Britain, 1700-1800 written by Niccol- Guicciardini and published by Cambridge University Press. This book was released on 2003-11-13 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines how calculus developed in Britain during the century following Newton.

A History of Numerical Analysis from the 16th through the 19th Century

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Publisher : Springer Science & Business Media
ISBN 13 : 1468494724
Total Pages : 361 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis A History of Numerical Analysis from the 16th through the 19th Century by : H. H. Goldstine

Download or read book A History of Numerical Analysis from the 16th through the 19th Century written by H. H. Goldstine and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book I have attempted to trace the development of numerical analysis during the period in which the foundations of the modern theory were being laid. To do this I have had to exercise a certain amount of selectivity in choosing and in rejecting both authors and papers. I have rather arbitrarily chosen, in the main, the most famous mathematicians of the period in question and have concentrated on their major works in numerical analysis at the expense, perhaps, of other lesser known but capable analysts. This selectivity results from the need to choose from a large body of literature, and from my feeling that almost by definition the great masters of mathematics were the ones responsible for the most significant accomplishments. In any event I must accept full responsibility for the choices. I would particularly like to acknowledge my thanks to Professor Otto Neugebauer for his help and inspiration in the preparation of this book. This consisted of many friendly discussions that I will always value. I should also like to express my deep appreciation to the International Business Machines Corporation of which I have the honor of being a Fellow and in particular to Dr. Ralph E. Gomory, its Vice-President for Research, for permitting me to undertake the writing of this book and for helping make it possible by his continuing encouragement and support.

Elementary Mathematics from an Advanced Standpoint - Arithmetic - Algebra - Analysis

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Publisher : Aslan Press
ISBN 13 : 1406700142
Total Pages : 288 pages
Book Rating : 4.4/5 (67 download)

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Book Synopsis Elementary Mathematics from an Advanced Standpoint - Arithmetic - Algebra - Analysis by : Felix Klein

Download or read book Elementary Mathematics from an Advanced Standpoint - Arithmetic - Algebra - Analysis written by Felix Klein and published by Aslan Press. This book was released on 2007-03 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a fascinating and inspirational read for anyone with an interest in advanced mathematics, written by the great German mathematician Felix Klein. It is highly recommended for inclusion on the bookshelf of anyone with an interest in the subject.

Logic and Discrete Mathematics

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Publisher : John Wiley & Sons
ISBN 13 : 1119000106
Total Pages : 195 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Logic and Discrete Mathematics by : Willem Conradie

Download or read book Logic and Discrete Mathematics written by Willem Conradie and published by John Wiley & Sons. This book was released on 2015-05-08 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: Solutions manual to accompany Logic and Discrete Mathematics: A Concise Introduction This book features a unique combination of comprehensive coverage of logic with a solid exposition of the most important fields of discrete mathematics, presenting material that has been tested and refined by the authors in university courses taught over more than a decade. Written in a clear and reader-friendly style, each section ends with an extensive set of exercises, most of them provided with complete solutions which are available in this accompanying solutions manual.

Education in Edinburgh in the Eighteenth Century

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Publisher : London : University of London Press
ISBN 13 :
Total Pages : 248 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Education in Edinburgh in the Eighteenth Century by : Alexander Law

Download or read book Education in Edinburgh in the Eighteenth Century written by Alexander Law and published by London : University of London Press. This book was released on 1965 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Life of James Clerk Maxwell

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Publisher :
ISBN 13 :
Total Pages : 728 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis The Life of James Clerk Maxwell by : Lewis Campbell

Download or read book The Life of James Clerk Maxwell written by Lewis Campbell and published by . This book was released on 1882 with total page 728 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Philosophical Aspects of Symbolic Reasoning in Early Modern Mathematics

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Publisher :
ISBN 13 : 9781848900172
Total Pages : 302 pages
Book Rating : 4.9/5 (1 download)

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Book Synopsis Philosophical Aspects of Symbolic Reasoning in Early Modern Mathematics by : Albrecht Heeffer

Download or read book Philosophical Aspects of Symbolic Reasoning in Early Modern Mathematics written by Albrecht Heeffer and published by . This book was released on 2010 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: The novel use of symbolism in early modern mathematics poses both philosophical and historical questions. How can we trace its development and transmission through manuscript sources? Is it intrinsically related to the emergence of symbolic algebra? How does symbolism relate to the use of diagrams? What are the consequences of symbolic reasoning on our understanding of nature? Can a symbolic language enable new forms of reasoning? Does a universal symbolic language exists which enables us to express all knowledge? This book brings together a collection of papers that address all these and related questions ? which were initially posed on a conference held in Ghent (Belgium) in August 2009. Scholars working on philosophy of science, history of philosophy and history of mathematics provide an insight into the role and function of symbolic representations in the development of early modern mathematics. The papers cover the period from early abbaco arithmetic and algebra (14th century) up to Leibniz (early 18th century).

Memoirs of the Life, Writings and Discoveries of Sir Isaac Newton

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Publisher :
ISBN 13 :
Total Pages : 516 pages
Book Rating : 4.B/5 (1 download)

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Book Synopsis Memoirs of the Life, Writings and Discoveries of Sir Isaac Newton by : David Brewster

Download or read book Memoirs of the Life, Writings and Discoveries of Sir Isaac Newton written by David Brewster and published by . This book was released on 1855 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Tulu - English Dictionary

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Publisher :
ISBN 13 : 9788120600690
Total Pages : 687 pages
Book Rating : 4.6/5 (6 download)

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Book Synopsis Tulu - English Dictionary by : A. Manner

Download or read book Tulu - English Dictionary written by A. Manner and published by . This book was released on 2002-08-01 with total page 687 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Represents The Work Originally Published In 1886. Tulu Language One Of The Dravidian Family Is Spoken In The Central Part Of South India.

A Shared Legacy

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Publisher : Edicions Universitat Barcelona
ISBN 13 : 8447532852
Total Pages : 363 pages
Book Rating : 4.4/5 (475 download)

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Book Synopsis A Shared Legacy by : Emilia Calvo

Download or read book A Shared Legacy written by Emilia Calvo and published by Edicions Universitat Barcelona. This book was released on 2008 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: On the occasion of the 75th +1 anniversary of the publication of Prof. J. M. Millàs Vallicrosa’s seminal work Assaig d’història de les idees físiques i matemàtiques a la Catalunya medieval by the Institut d'Estudis Catalans, the Commission on the History of Science and Technology in Islamic Societies (International Union on History and Philosophy of Science), the Grup Millàs Vallicrosa d’Història de la Ciència Àrab (Universitat de Barcelona) and the Societat Catalana d’Història de la Ciència i de la Tècnica (Institut d’Estudis Catalans) organized a conference entitled “A Shared Legacy: Islamic Science East and West”. At this conference, the Islamic Scientific Manuscripts Initiative, a new joint project for the study of manuscripts, was presented. .Although the papers published in this volume deal with a mixture of subjects and disciplines - astronomical instruments, planetary models, geometry, medicine, miqat, technology and cartography - they all have the transmission of knowledge between the two shores of the Mediterranean as a common underlying thread...Amb motiu del 75è + 1 aniversari de la publicació del llibre Assaig d’història de les idees físiques i matemàtiques a la Catalunya medieval (IEC), la Commission on the History of Science and Technology in Islamic Societies (CHSTIS/IUPHS), el Grup Millàs Vallicrosa d’Història de la Ciència Àrab de la Universitat de Barcelona (UB) i la Societat Catalana d’Història de la Ciència i de la Tècnica (SCHCT) -filial de l’Institut d’Estudis Catalans- organitzaren el congrés A Shared Legacy. Islamic Science East and West (Un llegat compartit: ciència islàmica a orient i occident). .Am motiu d’aquesta trobada s’han recopilat els articles que conté aquest volum tracten de temes variats –instruments astronòmics, models planetaris, geometria, medicina, tecnologia, cartografia, etc.- que tenen com a nexe en comú la transmissió del coneixement entre les dues ribes de la Mediterrània.

Descartes’s Mathematical Thought

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Publisher : Springer Science & Business Media
ISBN 13 : 9781402017469
Total Pages : 526 pages
Book Rating : 4.0/5 (174 download)

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Book Synopsis Descartes’s Mathematical Thought by : C. Sasaki

Download or read book Descartes’s Mathematical Thought written by C. Sasaki and published by Springer Science & Business Media. This book was released on 2003-11-30 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering both the history of mathematics and of philosophy, Descartes's Mathematical Thought reconstructs the intellectual career of Descartes most comprehensively and originally in a global perspective including the history of early modern China and Japan. Especially, it shows what the concept of "mathesis universalis" meant before and during the period of Descartes and how it influenced the young Descartes. In fact, it was the most fundamental mathematical discipline during the seventeenth century, and for Descartes a key notion which may have led to his novel mathematics of algebraic analysis.