The Heritage Of Thales
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The Heritage Of Thales
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Author : W.S. Anglin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
The Heritage Of Thales written by W.S. Anglin 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 Science categories.
The authors' novel approach to some interesting mathematical concepts - not normally taught in other courses - places them in a historical and philosophical setting. Although primarily intended for mathematics undergraduates, the book will also appeal to students in the sciences, humanities and education with a strong interest in this subject. The first part proceeds from about 1800 BC to 1800 AD, discussing, for example, the Renaissance method for solving cubic and quartic equations and providing rigorous elementary proof that certain geometrical problems posed by the ancient Greeks cannot be solved by ruler and compass alone. The second part presents some fundamental topics of interest from the past two centuries, including proof of G del's incompleteness theorem, together with a discussion of its implications.
The Heritage Of Thales
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Author : W. S. Anglin
language : en
Publisher:
Release Date : 1995
The Heritage Of Thales written by W. S. Anglin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.
Thales Of Miletus
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Author : Patricia F. O'Grady
language : en
Publisher: Taylor & Francis
Release Date : 2017-03-02
Thales Of Miletus written by Patricia F. O'Grady and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-02 with Biography & Autobiography categories.
'What is the basic building block of the universe?' Thales of Miletus was the first to ask this fundamental, yet to be answered, question in the sixth century B.C. This book offers an in-depth account of the answers he gave and of his adventure into many areas of learning: philosophy, science, mathematics and astronomy. Thales proved that the events of nature were comprehensible to man and could be explained without the intervention of mythological beings. Henceforth they became subject to investigation, experiment, questioning and discussion. Presenting for the first time in the English language a comprehensive study of Thales of Miletus, Patricia O'Grady brings Thales out of pre-Socratic shadows into historical illumination and explores why this historical figure has proved to be of lasting significance.
A To Z Of Mathematicians
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Author : Tucker McElroy
language : en
Publisher: Infobase Publishing
Release Date : 2014-05-14
A To Z Of Mathematicians written by Tucker McElroy and has been published by Infobase Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with Mathematicians categories.
Profiles more than 150 mathematicians from around the world who made important contributions to their field, including Rene Descartes, Emily Noether and Bernhard Riemann.
Ancient Mathematics
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Author : Dietmar Herrmann
language : en
Publisher: Springer Nature
Release Date : 2023-01-01
Ancient Mathematics written by Dietmar Herrmann and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-01 with Mathematics categories.
The volume contains a comprehensive and problem-oriented presentation of ancient Greek mathematics from Thales to Proklos Diadochos. Exemplarily, a cross-section of Greek mathematics is offered, whereby also such works of scientists are appreciated in detail, of which no German translation is available. Numerous illustrations and the inclusion of the cultural, political and literary environment provide a great spectrum of the history of mathematical science and a real treasure trove for those seeking biographical and contemporary background knowledge or suggestions for lessons or lectures. The presentation is up-to-date and realizes tendencies of recent historiography. In the new edition, the central chapters on Plato, Aristotle and Alexandria have been updated. The explanations of Greek calculus, mathematical geography and mathematics of the early Middle Ages have been expanded and show new points of view. A completely new addition is a unique illustrated account of Roman mathematics. Also newly included are several color illustrations that successfully illustrate the book's subject matter. With more than 280 images, this volume represents a richly illustrated history book on ancient mathematics.
Introducing Philosophy Of Mathematics
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Author : Michele Friend
language : en
Publisher: Routledge
Release Date : 2014-12-05
Introducing Philosophy Of Mathematics written by Michele Friend and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-05 with Philosophy categories.
What is mathematics about? Does the subject-matter of mathematics exist independently of the mind or are they mental constructions? How do we know mathematics? Is mathematical knowledge logical knowledge? And how is mathematics applied to the material world? In this introduction to the philosophy of mathematics, Michele Friend examines these and other ontological and epistemological problems raised by the content and practice of mathematics. Aimed at a readership with limited proficiency in mathematics but with some experience of formal logic it seeks to strike a balance between conceptual accessibility and correct representation of the issues. Friend examines the standard theories of mathematics - Platonism, realism, logicism, formalism, constructivism and structuralism - as well as some less standard theories such as psychologism, fictionalism and Meinongian philosophy of mathematics. In each case Friend explains what characterises the position and where the divisions between them lie, including some of the arguments in favour and against each. This book also explores particular questions that occupy present-day philosophers and mathematicians such as the problem of infinity, mathematical intuition and the relationship, if any, between the philosophy of mathematics and the practice of mathematics. Taking in the canonical ideas of Aristotle, Kant, Frege and Whitehead and Russell as well as the challenging and innovative work of recent philosophers like Benacerraf, Hellman, Maddy and Shapiro, Friend provides a balanced and accessible introduction suitable for upper-level undergraduate courses and the non-specialist.
Mathematics A Concise History And Philosophy
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Author : W.S. Anglin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Mathematics A Concise History And Philosophy written by W.S. Anglin 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 Science categories.
This is a concise introductory textbook for a one-semester (40-class) course in the history and philosophy of mathematics. It is written for mathemat ics majors, philosophy students, history of science students, and (future) secondary school mathematics teachers. The only prerequisite is a solid command of precalculus mathematics. On the one hand, this book is designed to help mathematics majors ac quire a philosophical and cultural understanding of their subject by means of doing actual mathematical problems from different eras. On the other hand, it is designed to help philosophy, history, and education students come to a deeper understanding of the mathematical side of culture by means of writing short essays. The way I myself teach the material, stu dents are given a choice between mathematical assignments, and more his torical or philosophical assignments. (Some sample assignments and tests are found in an appendix to this book. ) This book differs from standard textbooks in several ways. First, it is shorter, and thus more accessible to students who have trouble coping with vast amounts of reading. Second, there are many detailed explanations of the important mathematical procedures actually used by famous mathe maticians, giving more mathematically talented students a greater oppor tunity to learn the history and philosophy by way of problem solving.
Geometry
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Author : Audun Holme
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-09-23
Geometry written by Audun Holme 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 2010-09-23 with Mathematics categories.
This is a revised edition of the ?rst printing which appeared in 2002. The book is based on lectures at the University of Bergen, Norway.Over the years these lectures have covered many different aspects and facets of the wonderful ?eld of geometry. Consequently it has never been possible to give a full and ?nal account of geometry as such, at an undergraduatelevel: A carefully consideredselection has always been necessary. The present book constitutes the main central themes of these selections. One of the groups I am aiming at, is future teachers of mathematics. All too oftenthe textsdealingwith geometrywhichgo intothe syllabusforteacher-students present the material in ways which appear pedantic and formalistic, suppressing the very powerful and dynamic character of this old ?eld, which at the same time so young. Geometry is a ?eld of mathematical insight, research, history and source of artistic inspiration. And not least important, an integral part of our common cultural heritage.
Esd
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Author : Steven H. Voldman
language : en
Publisher: John Wiley & Sons
Release Date : 2005-12-13
Esd written by Steven H. Voldman and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-12-13 with Technology & Engineering categories.
This volume is the first in a series of three books addressing Electrostatic Discharge (ESD) physics, devices, circuits and design across the full range of integrated circuit technologies. ESD Physics and Devices provides a concise treatment of the ESD phenomenon and the physics of devices operating under ESD conditions. Voldman presents an accessible introduction to the field for engineers and researchers requiring a solid grounding in this important area. The book contains advanced CMOS, Silicon On Insulator, Silicon Germanium, and Silicon Germanium Carbon. In addition it also addresses ESD in advanced CMOS with discussions on shallow trench isolation (STI), Copper and Low K materials. Provides a clear understanding of ESD device physics and the fundamentals of ESD phenomena. Analyses the behaviour of semiconductor devices under ESD conditions. Addresses the growing awareness of the problems resulting from ESD phenomena in advanced integrated circuits. Covers ESD testing, failure criteria and scaling theory for CMOS, SOI (silicon on insulator), BiCMOS and BiCMOS SiGe (Silicon Germanium) technologies for the first time. Discusses the design and development implications of ESD in semiconductor technologies. An invaluable reference for EMC non-specialist engineers and researchers working in the fields of IC and transistor design. Also, suitable for researchers and advanced students in the fields of device/circuit modelling and semiconductor reliability.
Philosophical Reflections On Antiquity
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Author : Paul Fairfield
language : en
Publisher: Lexington Books
Release Date : 2020-09-02
Philosophical Reflections On Antiquity written by Paul Fairfield and has been published by Lexington Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-02 with Philosophy categories.
Philosophical Reflections on Antiquity: Historical Change addresses the question of whether there is a logic of historical change, and whether the collapse of teleology should deter us from inquiring anew whether any recurring patterns and themes show themselves amid the complexity of historical life. Paul Fairfield argues that if any conception of universal history remains possible, it is one that rejects teleology and causal laws while identifying thematic tendencies that afford some semblance of unity, including the enduring phenomena that are interlocution, the struggle for predominance, and the endless back and forth that play out between them. This book examines the transitional periods of archaic Greece and late antiquity, the ostensible birth and death of the ancient west. Fairfield argues that an interpretation of the social, political, and intellectual history of these important turning points brings to light some philosophical understanding of the dynamics of change itself, observing that the transition from archaic to classical Greece was no miracle, while the end of the Roman era can no longer be conceived as a story of decline and fall. Rather, Fairfield posits, these were not complete breaks, but relative beginnings and endings in narratives that are ongoing. Scholars of philosophy, history, and anthropology will find this book particularly useful.