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Author : Felix Klein
Publisher :
ISBN 13 :
Total Pages : 108 pages
Book Rating : 4.A/5 ( download)
Download or read book Famous Problems of Elementary Geometry written by Felix Klein and published by . This book was released on 1897 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (63 download)
Download or read book Famous Problems of Elementary Geometry written by and published by . This book was released on 1955 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ekkehard Kopp
Publisher : Open Book Publishers
ISBN 13 : 1800640978
Total Pages : 280 pages
Book Rating : 4.8/5 (6 download)
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 280 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.
Author : John Stillwell
Publisher : Springer Science & Business Media
ISBN 13 : 0387255303
Total Pages : 240 pages
Book Rating : 4.3/5 (872 download)
Download or read book The Four Pillars of Geometry written by John Stillwell and published by Springer Science & Business Media. This book was released on 2005-08-09 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is unique in that it looks at geometry from 4 different viewpoints - Euclid-style axioms, linear algebra, projective geometry, and groups and their invariants Approach makes the subject accessible to readers of all mathematical tastes, from the visual to the algebraic Abundantly supplemented with figures and exercises
Author : John Stillwell
Publisher : Springer Nature
ISBN 13 : 3030551938
Total Pages : 400 pages
Book Rating : 4.0/5 (35 download)
Download or read book Mathematics and Its History written by John Stillwell and published by Springer Nature. This book was released on 2020-11-07 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a unified and concise exploration of undergraduate mathematics by approaching the subject through its history. Readers will discover the rich tapestry of ideas behind familiar topics from the undergraduate curriculum, such as calculus, algebra, topology, and more. Featuring historical episodes ranging from the Ancient Greeks to Fermat and Descartes, this volume offers a glimpse into the broader context in which these ideas developed, revealing unexpected connections that make this ideal for a senior capstone course. The presentation of previous versions has been refined by omitting the less mainstream topics and inserting new connecting material, allowing instructors to cover the book in a one-semester course. This condensed edition prioritizes succinctness and cohesiveness, and there is a greater emphasis on visual clarity, featuring full color images and high quality 3D models. As in previous editions, a wide array of mathematical topics are covered, from geometry to computation; however, biographical sketches have been omitted. Mathematics and Its History: A Concise Edition is an essential resource for courses or reading programs on the history of mathematics. Knowledge of basic calculus, algebra, geometry, topology, and set theory is assumed. From reviews of previous editions: “Mathematics and Its History is a joy to read. The writing is clear, concise and inviting. The style is very different from a traditional text. I found myself picking it up to read at the expense of my usual late evening thriller or detective novel.... The author has done a wonderful job of tying together the dominant themes of undergraduate mathematics.” Richard J. Wilders, MAA, on the Third Edition "The book...is presented in a lively style without unnecessary detail. It is very stimulating and will be appreciated not only by students. Much attention is paid to problems and to the development of mathematics before the end of the nineteenth century.... This book brings to the non-specialist interested in mathematics many interesting results. It can be recommended for seminars and will be enjoyed by the broad mathematical community." European Mathematical Society, on the Second Edition
Author : Davide Crippa
Publisher : Springer
ISBN 13 : 3030016382
Total Pages : 189 pages
Book Rating : 4.0/5 (3 download)
Download or read book The Impossibility of Squaring the Circle in the 17th Century written by Davide Crippa and published by Springer. This book was released on 2019-03-06 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about James Gregory’s attempt to prove that the quadrature of the circle, the ellipse and the hyperbola cannot be found algebraically. Additonally, the subsequent debates that ensued between Gregory, Christiaan Huygens and G.W. Leibniz are presented and analyzed. These debates eventually culminated with the impossibility result that Leibniz appended to his unpublished treatise on the arithmetical quadrature of the circle. The author shows how the controversy around the possibility of solving the quadrature of the circle by certain means (algebraic curves) pointed to metamathematical issues, particularly to the completeness of algebra with respect to geometry. In other words, the question underlying the debate on the solvability of the circle-squaring problem may be thus phrased: can finite polynomial equations describe any geometrical quantity? As the study reveals, this question was central in the early days of calculus, when transcendental quantities and operations entered the stage. Undergraduate and graduate students in the history of science, in philosophy and in mathematics will find this book appealing as well as mathematicians and historians with broad interests in the history of mathematics.
Author : Wooster Woodruff Beman and David Eugene
Publisher : Legare Street Press
ISBN 13 : 9781022539006
Total Pages : 0 pages
Book Rating : 4.5/5 (39 download)
Download or read book Famous Problems of Elementary Geometry (Year 1897) written by Wooster Woodruff Beman and David Eugene and published by Legare Street Press. This book was released on 2023-07-18 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, published in 1897, presents an overview of elementary geometry and its famous problems, such as the angle trisection and the duplication of the cube. The authors provide historical context and mathematical explanations, making it accessible to both students and enthusiasts of the subject. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author : Felix Klein
Publisher : American Mathematical Soc.
ISBN 13 : 9780821826744
Total Pages : 321 pages
Book Rating : 4.8/5 (267 download)
Download or read book Famous Problems, and Other Monographs written by Felix Klein and published by American Mathematical Soc.. This book was released on 1962 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title contains four volumes in one: ""Famous Problems of Elementary Geometry"", by Klein. It is a fascinating, simple, easily understandable account of the famous problems of Geometry - The Duplication of the Cube, Trisection of the Angle, Squaring of the Circle - and the proofs that these cannot be solved by ruler and compass. It is suitably presented to undergraduates, with no calculus required. Also, the work includes problems about transcendental numbers, the existence of such numbers, and proofs of the transcendence of $e$. ""From Determinant to Tensor"", by Sheppard. It is a novel and simple introduction to tensors.'An excellent little book, the aim of which is to familiarize the student with tensors and to give an idea of their applications. We wish to recommend the book heartily...The beginner will find the book a valuable introduction and the expert an interesting review with a refreshing novelty of presentation' - ""Bulletin of the AMS"". Chapter headings include: Origin of Determinants; Properties of Determinants; Solution of Simultaneous Equations; Properties; Tensor Notation; Sets; Cogredience, etc.; Examples from Statistics; Tensors in Theory of Relativity; and, Introduction to Combinatory Analysis, by MacMahon.This is an introduction to the author's two-volume work. It includes Three Lectures on Fermat's Last Theorem by Mordell. This famous problem is so easy that a high-school student might not unreasonably hope to solve it: it is so difficult that as of the 1962 publication date of this book, tens of thousands of amateur and professional mathematicians, Euler and Gauss among them, failed to find a complete solution. Mordell himself had a solution (as he said he did). This work is one of the masterpieces of mathematical exposition.
Author : Henry Ernest Dudeney
Publisher : BoD – Books on Demand
ISBN 13 : 3752309725
Total Pages : 678 pages
Book Rating : 4.7/5 (523 download)
Download or read book Amusements in Mathematics written by Henry Ernest Dudeney and published by BoD – Books on Demand. This book was released on 2020-07-17 with total page 678 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reproduction of the original: Amusements in Mathematics by Henry Ernest Dudeney
Author : Robert Edouard Moritz
Publisher : Theclassics.Us
ISBN 13 : 9781230267388
Total Pages : 140 pages
Book Rating : 4.2/5 (673 download)
Download or read book Memorabilia Mathematica written by Robert Edouard Moritz and published by Theclassics.Us. This book was released on 2013-09 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1914 edition. Excerpt: ...identical, is as much at home in the art of reasoning as anywhere else: and this is why no science, whether biology or any other, can offer any kind of reasoning, of which mathematics does not supply a simpler and purer counterpart. Thus, we are enabled to eliminate the only remaining portion of the old philosophy which could even appear to offer any real utility; the logical part, the value of which is irrevocably absorbed by mathematical science.--Comte, A. Positive Philosophy, Martineau, (London, 1875), Vol. 1, pp. 321-322. 1316. We know that mathematicians care no more for logic than logicians for mathematics. The two eyes of exact science are mathematics and logic: the mathematical sect puts out the logical eye, the logical sect puts out the mathematical eye; each believing that it can see better with one eye than with two. De Morgan, A. Quoted in F. Cajori: History of Mathematics (New York, 1897), p. 316. 1316. The progress of the art of rational discovery depends in a great part upon the art of characteristic (ars characteristica). The reason why people usually seek demonstrations only in numbers and lines and things represented by these is none other than that there are not, outside of numbers, convenient characters corresponding to the notions.--Leibnitz, G. W. Philosophische Schriften Gerhardt Bd. 8, p. 198. 1317. The influence of the mathematics of Leibnitz upon his philosophy appears chiefly in connection with his law of continuity and his prolonged efforts to establish a Logical Calculus.... To find a Logical Calculus (implying a universal philosophical language or system of signs) is an attempt to apply in theological and philosophical investigations an analytic method analogous to that which had proved so successful in...
Author : Simon Newcomb
Publisher : London : Harper and Brothers
ISBN 13 :
Total Pages : 448 pages
Book Rating : 4.A/5 ( download)
Download or read book The Reminiscences of an Astronomer written by Simon Newcomb and published by London : Harper and Brothers. This book was released on 1903 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : George Brandes
Publisher :
ISBN 13 :
Total Pages : 350 pages
Book Rating : 4./5 ( download)
Download or read book Main Currents In Nineteenth Century Literature written by George Brandes and published by . This book was released on 1923 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : James Tanton
Publisher : Infobase Publishing
ISBN 13 : 1438110081
Total Pages : 577 pages
Book Rating : 4.4/5 (381 download)
Download or read book Encyclopedia of Mathematics written by James Tanton and published by Infobase Publishing. This book was released on 2014-05-14 with total page 577 pages. Available in PDF, EPUB and Kindle. Book excerpt: Encyclopedia of Mathematics is a comprehensive one-volume encyclopedia designed for high school through early college students. More than 1,000 entries, numerous essays, and more than 125 photographs and illustrations cover the principal areas and issues that characterize this "new" area of science. This valuable resource unites disparate ideas and provides the meaning, history, context, and relevance behind each one. The easy-to-use format makes finding straightforward and natural answers to questions within arithmetic simple. Encyclopedia of Mathematics also gives historical context to mathematical concepts, with entries discussing ancient Arabic, Babylonian, Chinese, Egyptian, Greek, Hindu, and Mayan mathematics, as well as entries providing biographical descriptions of important people in the development of mathematics.
Author : Danilo Capecchi
Publisher : Springer
ISBN 13 : 3319583107
Total Pages : 542 pages
Book Rating : 4.3/5 (195 download)
Download or read book The Path to Post-Galilean Epistemology written by Danilo Capecchi and published by Springer. This book was released on 2017-07-08 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book casts new light on the process that in the sixteenth and seventeenth centuries led to a profound transformation in the study of nature with the emergence of mechanistic philosophy, the new mixed mathematics, and the establishment of the experimental approach. It is argued that modern European science originated from Hellenistic mathematics not so much because of rediscovery of the latter but rather because its “applied” components, namely mechanics, optics, harmonics, and astronomy, and their methodologies continued to be transmitted throughout the Middle Ages without serious interruption. Furthermore, it is proposed that these “applied” components played a role in their entirety; thus, for example, “new” mechanics derived not only from “old” mechanics but also from harmonics, optics, and astronomy. Unlike other texts on the subject, the role of mathematicians is stressed over that of philosophers of nature and the focus is particularly on epistemological aspects. In exploring Galilean and post-Galilean epistemology, attention is paid to the contributions of Galileo’s disciples and also the impact of his enemies. The book will appeal to both historians of science and scientists.
Author : Albrecht Heeffer
Publisher :
ISBN 13 : 9781848900172
Total Pages : 302 pages
Book Rating : 4.9/5 (1 download)
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).
Author : J. van der Zande
Publisher :
ISBN 13 : 9789401734660
Total Pages : 492 pages
Book Rating : 4.7/5 (346 download)
Download or read book The Skeptical Tradition Around 1800 written by J. van der Zande and published by . This book was released on 2014-01-15 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Tom Sorell
Publisher : Cambridge University Press
ISBN 13 : 9780521422444
Total Pages : 420 pages
Book Rating : 4.4/5 (224 download)
Download or read book The Cambridge Companion to Hobbes written by Tom Sorell and published by Cambridge University Press. This book was released on 1996-01-26 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: The most convenient, accessible guide to Hobbes available.
