Mathematical Lectures Vol 1 Lectures On The Elements Of Algebra Second Edition Corrected And Enlarged Vol 2 Six Lectures On The Elements Of Plane Trigonometry A Compendious And Practical Treatise On The Construction Properties And Analogies Of The Three Conic Sections Etc

Author : Ekkehard Kopp
Publisher : Open Book Publishers
Page : 280 pages
File Size : 44,5 Mb
Release : 2020-10-23
Category : Mathematics
ISBN : 9781800640979

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

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.

Author : Hugh Blackburn
Publisher : Unknown
Page : 132 pages
File Size : 52,7 Mb
Release : 1871
Category : Plane trigonometry
ISBN : OXFORD:590090460

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Elements of plane trigonometry by Hugh Blackburn Pdf

Author : S. G. Dani,Athanase Papadopoulos
Publisher : Springer Nature
Page : 759 pages
File Size : 44,6 Mb
Release : 2019-10-18
Category : Mathematics
ISBN : 9783030136093

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Geometry in History by S. G. Dani,Athanase Papadopoulos Pdf

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.

Author : C. Taylor
Publisher : BoD – Books on Demand
Page : 130 pages
File Size : 44,8 Mb
Release : 2023-07-14
Category : Fiction
ISBN : 9783368175344

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The Geometry of Conics by C. Taylor Pdf

Reprint of the original, first published in 1873.

Author : Ravi P Agarwal,Syamal K Sen
Publisher : Springer
Page : 514 pages
File Size : 51,5 Mb
Release : 2014-11-11
Category : Mathematics
ISBN : 9783319108704

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Creators of Mathematical and Computational Sciences by Ravi P Agarwal,Syamal K Sen Pdf

​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.

Author : Willem Conradie,Valentin Goranko,Claudette Robinson
Publisher : John Wiley & Sons
Page : 200 pages
File Size : 43,9 Mb
Release : 2015-05-08
Category : Mathematics
ISBN : 9781119000105

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Logic and Discrete Mathematics by Willem Conradie,Valentin Goranko,Claudette Robinson Pdf

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.

Author : H. H. Goldstine
Publisher : Springer Science & Business Media
Page : 361 pages
File Size : 50,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781468494723

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

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.

Author : Niccol- Guicciardini
Publisher : Cambridge University Press
Page : 246 pages
File Size : 51,6 Mb
Release : 2003-11-13
Category : History
ISBN : 0521524849

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The Development of Newtonian Calculus in Britain, 1700-1800 by Niccol- Guicciardini Pdf

This book examines how calculus developed in Britain during the century following Newton.

Author : Albrecht Heeffer,Maarten Van Dyck
Publisher : Unknown
Page : 302 pages
File Size : 53,6 Mb
Release : 2010
Category : Mathematics
ISBN : 1848900171

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Philosophical Aspects of Symbolic Reasoning in Early Modern Mathematics by Albrecht Heeffer,Maarten Van Dyck Pdf

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).

Author : Felix Klein
Publisher : Aslan Press
Page : 288 pages
File Size : 47,6 Mb
Release : 2007-03
Category : Mathematics
ISBN : 9781406700145

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Elementary Mathematics from an Advanced Standpoint - Arithmetic - Algebra - Analysis by Felix Klein Pdf

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.

Author : Alexander MacFarlane
Publisher : Amberg Press
Page : 150 pages
File Size : 43,7 Mb
Release : 2010-03
Category : Electronic
ISBN : 9781445533636

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Lectures on Ten British Mathematicians of the Nineteenth Century by Alexander MacFarlane Pdf

Many of the earliest books, particularly those dating back to the 1900s and before, are now extremely scarce and increasingly expensive. We are republishing these classic works in affordable, high quality, modern editions, using the original text and artwork.

Author : Lewis Campbell,William Garnett
Publisher : Unknown
Page : 728 pages
File Size : 40,9 Mb
Release : 1882
Category : Physicists
ISBN : UCSD:31822002453157

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The Life of James Clerk Maxwell by Lewis Campbell,William Garnett Pdf

Author : Sasaki Chikara,Sugiura Mitsuo,Joseph W. Dauben
Publisher : Birkhäuser
Page : 272 pages
File Size : 55,8 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9783034875219

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The Intersection of History and Mathematics by Sasaki Chikara,Sugiura Mitsuo,Joseph W. Dauben Pdf

Author : Alexander Law
Publisher : London : University of London Press
Page : 248 pages
File Size : 53,6 Mb
Release : 1965
Category : Education
ISBN : UOM:39015011001362

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Education in Edinburgh in the Eighteenth Century by Alexander Law Pdf

Author : C. Sasaki
Publisher : Springer Science & Business Media
Page : 502 pages
File Size : 52,8 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9789401712255

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Descartes’s Mathematical Thought by C. Sasaki Pdf

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.