Recherches Sur L Analyse Ind Termin E Et L Arithm Tique De Diophante
DOWNLOAD
AUDIOBOOK
READ ONLINE
Download Recherches Sur L Analyse Ind Termin E Et L Arithm Tique De Diophante PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Recherches Sur L Analyse Ind Termin E Et L Arithm Tique De Diophante book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
From China To Paris
DOWNLOAD
AUDIOBOOK
READ ONLINE
Author : Yvonne Dold-Samplonius
language : en
Publisher: Franz Steiner Verlag
Release Date : 2002
From China To Paris written by Yvonne Dold-Samplonius and has been published by Franz Steiner Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
The reports of a conference of 11 scholars who began the task of examing together primary sources that might shed som elight on exactly how and in what fomrs mathematical problems, concepts, and techniques may have been transmitted between various civilizations, from antiquity down to the European Renaissance following more or less the legendary silk routes between China and Western Europe.
Diophantus Of Alexandria
DOWNLOAD
AUDIOBOOK
READ ONLINE
Author : Thomas L. Heath
language : en
Publisher: CUP Archive
Release Date : 1910
Diophantus Of Alexandria written by Thomas L. Heath and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1910 with Algebra categories.
Let History Into The Mathematics Classroom
DOWNLOAD
AUDIOBOOK
READ ONLINE
Author : Évelyne Barbin
language : en
Publisher: Springer
Release Date : 2017-10-27
Let History Into The Mathematics Classroom written by Évelyne Barbin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-27 with Education categories.
This book brings together 10 experiments which introduce historical perspectives into mathematics classrooms for 11 to 18-year-olds. The authors suggest that students should not only read ancient texts, but also should construct, draw and manipulate. The different chapters refer to ancient Greek, Indian, Chinese and Arabic mathematics as well as to contemporary mathematics. Students are introduced to well-known mathematicians—such as Gottfried Leibniz and Leonard Euler—as well as to less famous practitioners and engineers. Always, there is the attempt to associate the experiments with their scientific and cultural contexts. One of the main values of history is to show that the notions and concepts we teach were invented to solve problems. The different chapters of this collection all have, as their starting points, historic problems—mathematical or not. These are problems of exchanging and sharing, of dividing figures and volumes as well as engineers’ problems, calculations, equations and congruence. The mathematical reasoning which accompanies these actions is illustrated by the use of drawings, folding, graphical constructions and the production of machines.
The Evolution Of The Euclidean Elements
DOWNLOAD
AUDIOBOOK
READ ONLINE
Author : W.R. Knorr
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
The Evolution Of The Euclidean Elements written by W.R. Knorr and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Philosophy categories.
The present work has three principal objectives: (1) to fix the chronology of the development of the pre-Euclidean theory of incommensurable magnitudes beginning from the first discoveries by fifth-century Pythago reans, advancing through the achievements of Theodorus of Cyrene, Theaetetus, Archytas and Eudoxus, and culminating in the formal theory of Elements X; (2) to correlate the stages of this developing theory with the evolution of the Elements as a whole; and (3) to establish that the high standards of rigor characteristic of this evolution were intrinsic to the mathematicians' work. In this third point, we wish to counterbalance a prevalent thesis that the impulse toward mathematical rigor was purely a response to the dialecticians' critique of foundations; on the contrary, we shall see that not until Eudoxus does there appear work which may be described as purely foundational in its intent. Through the examination of these problems, the present work will either alter or set in a new light virtually every standard thesis about the fourth-century Greek geometry. I. THE PRE-EUCLIDEAN THEORY OF INCOMMENSURABLE MAGNITUDES The Euclidean theory of incommensurable magnitudes, as preserved in Book X of the Elements, is a synthetic masterwork. Yet there are detect able seams in its structure, seams revealed both through terminology and through the historical clues provided by the neo-Platonist commentator Proclus.
Algebra With Arithmetic And Mensuration From The Sanscrit Of Brahmegupta And Bhascara
DOWNLOAD
AUDIOBOOK
READ ONLINE
Author : Brahmagupta
language : en
Publisher:
Release Date : 1817
Algebra With Arithmetic And Mensuration From The Sanscrit Of Brahmegupta And Bhascara written by Brahmagupta and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1817 with Algebra categories.
Combinatorics Ancient Modern
DOWNLOAD
AUDIOBOOK
READ ONLINE
Author : Robin Wilson
language : en
Publisher: OUP Oxford
Release Date : 2013-06-27
Combinatorics Ancient Modern written by Robin Wilson and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-27 with Mathematics categories.
Who first presented Pascal's triangle? (It was not Pascal.) Who first presented Hamiltonian graphs? (It was not Hamilton.) Who first presented Steiner triple systems? (It was not Steiner.) The history of mathematics is a well-studied and vibrant area of research, with books and scholarly articles published on various aspects of the subject. Yet, the history of combinatorics seems to have been largely overlooked. This book goes some way to redress this and serves two main purposes: 1) it constitutes the first book-length survey of the history of combinatorics; and 2) it assembles, for the first time in a single source, researches on the history of combinatorics that would otherwise be inaccessible to the general reader. Individual chapters have been contributed by sixteen experts. The book opens with an introduction by Donald E. Knuth to two thousand years of combinatorics. This is followed by seven chapters on early combinatorics, leading from Indian and Chinese writings on permutations to late-Renaissance publications on the arithmetical triangle. The next seven chapters trace the subsequent story, from Euler's contributions to such wide-ranging topics as partitions, polyhedra, and latin squares to the 20th century advances in combinatorial set theory, enumeration, and graph theory. The book concludes with some combinatorial reflections by the distinguished combinatorialist, Peter J. Cameron. This book is not expected to be read from cover to cover, although it can be. Rather, it aims to serve as a valuable resource to a variety of audiences. Combinatorialists with little or no knowledge about the development of their subject will find the historical treatment stimulating. A historian of mathematics will view its assorted surveys as an encouragement for further research in combinatorics. The more general reader will discover an introduction to a fascinating and too little known subject that continues to stimulate and inspire the work of scholars today.
Mathematics Education And History
DOWNLOAD
AUDIOBOOK
READ ONLINE
Author : Kathleen M. Clark
language : en
Publisher: Springer
Release Date : 2019-01-24
Mathematics Education And History written by Kathleen M. Clark and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-24 with Education categories.
This book includes 18 peer-reviewed papers from nine countries, originally presented in a shorter form at TSG 25 The Role of History of Mathematics in Mathematics Education, as part of ICME-13 during. It also features an introductory chapter, by its co-editors, on the structure and main points of the book with an outline of recent developments in exploring the role of history and epistemology in mathematics education. It serves as a valuable contribution in this domain, by making reports on recent developments in this field available to the international educational community, with a special focus on relevant research results since 2000. The 18 chapters of the book are divided into five interrelated parts that underlie the central issues of research in this domain: 1. Theoretical and conceptual frameworks for integrating history and epistemology in mathematics in mathematics education; 2. Courses and didactical material: Design, implementation and evaluation; 3. Empirical investigations on implementing history and epistemology in mathematics education; 4. Original historical sources in teaching and learning of and about mathematics; 5. History and epistemology of mathematics: Interdisciplinary teaching and sociocultural aspects. This book covers all levels of education, from primary school to tertiary education, with a particular focus on teacher education. Additionally, each chapter refers to and/or is based on empirical research, in order to support, illuminate, clarify and evaluate key issues, main questions, and conjectured theses raised by the authors or in the literature on the basis of historical-epistemological or didactical-cognitive arguments.
The History Of Mathematical Proof In Ancient Traditions
DOWNLOAD
AUDIOBOOK
READ ONLINE
Author : Karine Chemla
language : en
Publisher: Cambridge University Press
Release Date : 2012-07-05
The History Of Mathematical Proof In Ancient Traditions written by Karine Chemla 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 2012-07-05 with Philosophy categories.
This radical, profoundly scholarly book explores the purposes and nature of proof in a range of historical settings. It overturns the view that the first mathematical proofs were in Greek geometry and rested on the logical insights of Aristotle by showing how much of that view is an artefact of nineteenth-century historical scholarship. It documents the existence of proofs in ancient mathematical writings about numbers and shows that practitioners of mathematics in Mesopotamian, Chinese and Indian cultures knew how to prove the correctness of algorithms, which are much more prominent outside the limited range of surviving classical Greek texts that historians have taken as the paradigm of ancient mathematics. It opens the way to providing the first comprehensive, textually based history of proof.
Random Obstacle Problems
DOWNLOAD
AUDIOBOOK
READ ONLINE
Author : Lorenzo Zambotti
language : en
Publisher: Springer
Release Date : 2017-02-27
Random Obstacle Problems written by Lorenzo Zambotti and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-02-27 with Mathematics categories.
Studying the fine properties of solutions to Stochastic (Partial) Differential Equations with reflection at a boundary, this book begins with a discussion of classical one-dimensional diffusions as the reflecting Brownian motion, devoting a chapter to Bessel processes, and moves on to function-valued solutions to SPDEs. Inspired by the classical stochastic calculus for diffusions, which is unfortunately still unavailable in infinite dimensions, it uses integration by parts formulae on convex sets of paths in order to describe the behaviour of the solutions at the boundary and the contact set between the solution and the obstacle. The text may serve as an introduction to space-time white noise, SPDEs and monotone gradient systems. Numerous open research problems in both classical and new topics are proposed.
The Electric Theories Of J Clerk Maxwell
DOWNLOAD
AUDIOBOOK
READ ONLINE
Author : Pierre Maurice Marie Duhem
language : en
Publisher: Springer
Release Date : 2015-06-01
The Electric Theories Of J Clerk Maxwell written by Pierre Maurice Marie Duhem and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-01 with Science categories.
In this volume Pierre Duhem first gives an overview of 19th century electricity and magnetism. Next, he applies his keen historical, philosophical, and physical intuition to critiquing Maxwell’s theories, especially his electromagnetic theory of light and the ad hoc introduction of displacement current, which he considers too much a product of the “esprit de géométrie” than the “esprit de finesse,” as Pascal calls it. In this book, Duhem is guided by the principle that a theory that offers contradictions, even if the theory is posed by a genius, needs to be analysed and discussed until a clear distinction can be made between the propositions likely to be logically demonstrated and statements that offend logic and which must be transformed or rejected. Furthermore, Duhem felt, in criticizing such a theory one must guard against narrowness of mind and petty corrections which would make one forget the merit of the inventor; and, more importantly, one must guard against the blind superstition which, for admiration of the author, would hide the serious defects of the work. He is not so great a genius that he surpasses the laws of reason. Pierre Duhem (1861-1916), chairman of theoretical physics at Bordeaux in 1984-1916, is well-known for his works in the history and philosophy of science.