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Author: W.S. Anglin
Publisher: Springer Science & Business Media
ISBN: 1461208033
Category : Science
Languages : en
Pages : 304
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Book Description
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.
Author: W.S. Anglin
Publisher: Springer Science & Business Media
ISBN: 1461208033
Category : Science
Languages : en
Pages : 304
Get Book
Book Description
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.
Author: W. S. Anglin
Publisher:
ISBN: 9787302214830
Category : Mathematics
Languages : en
Pages : 327
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Book Description
Author: W.S. Anglin
Publisher: Springer Science & Business Media
ISBN: 1461208750
Category : Science
Languages : en
Pages : 253
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Book Description
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.
Author: Burnet John
Publisher: Legare Street Press
ISBN: 9781016027809
Category :
Languages : en
Pages : 0
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Book Description
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: Sir Thomas Little Heath
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 470
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Book Description
Author: Walter William Rouse Ball
Publisher:
ISBN:
Category : Mathematicians
Languages : en
Pages : 576
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Book Description
Author: G E R Lloyd
Publisher: Random House
ISBN: 1448156718
Category : Science
Languages : en
Pages : 149
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Book Description
In this new series leading classical scholars interpret afresh the ancient world for the modern reader. They stress those questions and institutions that most concern us today: the interplay between economic factors and politics, the struggle to find a balance between the state and the individual, the role of the intellectual. Most of the books in this series centre on the great focal periods, those of great literature and art: the world of Herodotus and the tragedians, Plato and Aristotle, Cicero and Caesar, Virgil, Horace and Tacitus. This study traces Greek science through the work of the Pythagoreans, the Presocratic natural philosophers, the Hippocratic writers, Plato, the fourth-century B.C. astronomers and Aristotle. G. E. R. Lloyd also investigates the relationships between science and philosophy and science and medicine; he discusses the social and economic setting of Greek science; he analyses the motives and incentives of the different groups of writers.
Author: Nicholas Faulkner
Publisher: The Rosen Publishing Group, Inc
ISBN: 1680487779
Category : Juvenile Nonfiction
Languages : en
Pages : 346
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Book Description
This intriguing volume introduces readers to the origins of the mathematical principles they study every day. It covers a wide range of disciplines outlined in curriculum standards and serves as an illuminating companion to their current studies. Readers will learn about the brilliant minds behind some of the breakthroughs in mathematics. They will also enjoy the origin stories of the different disciplines in the field we're so familiar with today. The study of math should go beyond numbers, and this book certainly accomplishes that by giving readers insight into how mathematics came to be.
Author: Erik Gregersen Associate Editor, Astronomy and Space Exploration
Publisher: The Rosen Publishing Group, Inc
ISBN: 1615301275
Category : Juvenile Nonfiction
Languages : en
Pages : 311
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Book Description
Traces the origins and development of arithmetic, geometry, trigonometry, analytic geometry, and calculus from the ancient civilizations to the present.
Author: Dietmar Herrmann
Publisher: Springer Nature
ISBN: 3662664941
Category : Mathematics
Languages : en
Pages : 462
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Book Description
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.
