The Historical Reluctance to Accept Non-Euclidean Geometry
Author: Richard Neil Hansen
Publisher:
Published: 1998
Total Pages: 190
ISBN-13:
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Geometry in History
Author: S. G. Dani
Publisher: Springer Nature
Published: 2019-10-18
Total Pages: 759
ISBN-13: 3030136094
DOWNLOAD EBOOKThis 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.
The History of Mathematics
Author: Nicholas Faulkner
Publisher: The Rosen Publishing Group, Inc
Published: 2017-12-15
Total Pages: 346
ISBN-13: 1680487779
DOWNLOAD EBOOKThis 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.
A Brief History of Mathematics
Author: Tianxin Cai
Publisher: Springer Nature
Published: 2023-07-25
Total Pages: 353
ISBN-13: 3031268415
DOWNLOAD EBOOKThis volume, originally published in China and translated into four other languages, presents a fascinating and unique account of the history of mathematics, divided into eight chronologically organized chapters. Tracing the development of mathematics across disparate regions and peoples, with particular emphasis on the relationship between mathematics and civilization, it examines mathematical sources and inspirations leading from Egypt, Babylon and ancient Greece and expanding to include Chinese, Indian and Arabic mathematics, the European Renaissance and the French revolution up through the Nineteenth and Twentieth Centuries. Each chapter explores connections among mathematics and cultural elements of the time and place treated, accompanying the reader in a varied and exciting journey through human civilizations. The book contemplates the intersections of mathematics with other disciplines, including the relationship between modern mathematics and modern art, and the resulting applications, with the aid of images and photographs, often taken by the author, which further enhance the enjoyment for the reader. Written for a general audience, this book will be of interest to anyone who's studied mathematics in university or even high school, while also benefiting researchers in mathematics and the humanities.
Mathematics and Its History
Author: John Stillwell
Publisher: Springer Science & Business Media
Published: 2013-06-29
Total Pages: 381
ISBN-13: 1489900071
DOWNLOAD EBOOKA concise, unified view of mathematics together with its historical development. Aiming at mathematicians who have mastered the basic topics but wish to gain a better grasp of mathematics as a whole, the author gives the reasons for the emergence of the main fields of modern mathematics, and explains the connections between them by tracing the course of a few mathematical themes from ancient times down to the 20th century. The emphasis here is on history as a method for unifying and motivating mathematics, rather than as an end in itself, and there is more mathematical detail than in other general histories. However, no historical expertise is assumed, and classical mathematics is rephrased in modern terms where needed. Nevertheless, there are copious references to original sources for readers wishing to explore the classics for themselves. In summary, readers will be able to add to their mathematical knowledge as well as gaining a new perspective on what they already know.
Madness Explained
Author: Richard P Bentall
Publisher: Penguin UK
Published: 2003-06-05
Total Pages: 557
ISBN-13: 0141909323
DOWNLOAD EBOOKA revised edition of Madness Explained, Richard Bentall's groundbreaking classic on mental illness In Madness Explained, leading clinical psychologist Richard Bentall shatters the modern myths that surround psychosis. Is madness purely a medical condition that can be treated with drugs? Is there a clear dividing line between who is sane and who is insane? For this revised edition, he adds new material drawing on the recent advances in molecular genetics, new studies of the role of environment in psychosis, and important discoveries on early symptoms preceding illness, among other important developments in our understanding. 'Madness Explained is a substantial, yet highly accessible work. Full of insight and humanity, it deserves a wide readership.' Sunday Times 'Will give readers a glimpse both of answers to their own problems, and to questions about how the mind works' Independent Magazine Richard P. Bentall holds a Chair in Experimental Clinical Psychology at the University of Manchester. In 1989 he received the British Psychological Society's May Davidson Award for his contribution to the field of Clinical Psychology.
Science and Its History
Author: Joseph Agassi
Publisher: Springer Science & Business Media
Published: 2008-09-16
Total Pages: 531
ISBN-13: 140205632X
DOWNLOAD EBOOKProfessor Joseph Agassi has published his Towards an Historiography of Science in 1963. It received many reviews by notable academics, including Maurice Finocchiaro, Charles Gillispie, Thomas S. Kuhn, Geroge Mora, Nicholas Rescher, and L. Pearce Williams. It is still in use in many courses in the philosophy and history of science. Here it appears in a revised and updated version with responses to these reviews and with many additional chapters, some already classic, others new. They are all paradigms of the author’s innovative way of writing fresh and engaging chapters in the history of the natural sciences.
Non-Euclidean Geometry
Author: H.S.M. Coxeter
Publisher: University of Toronto Press
Published: 1965-12-15
Total Pages: 275
ISBN-13: 1442637749
DOWNLOAD EBOOKThe name non-Euclidean was used by Gauss to describe a system of geometry which differs from Euclid's in its properties of parallelism. Such a system was developed independently by Bolyai in Hungary and Lobatschewsky in Russia, about 120 years ago. Another system, differing more radically from Euclid's, was suggested later by Riemann in Germany and Cayley in England. The subject was unified in 1871 by Klein, who gave the names of parabolic, hyperbolic, and elliptic to the respective systems of Euclid-Bolyai-Lobatschewsky, and Riemann-Cayley. Since then, a vast literature has accumulated. The Fifth edition adds a new chapter, which includes a description of the two families of 'mid-lines' between two given lines, an elementary derivation of the basic formulae of spherical trigonometry and hyperbolic trigonometry, a computation of the Gaussian curvature of the elliptic and hyperbolic planes, and a proof of Schlafli's remarkable formula for the differential of the volume of a tetrahedron.
Non-Euclidean Geometry: Sixth Edition
Author: H. S. M. Coxeter
Publisher: American Mathematical Soc.
Published: 1998-12-31
Total Pages: 356
ISBN-13: 1614445168
DOWNLOAD EBOOKA reissue of Professor Coxeter's classic text on non-euclidean geometry.
Differential Equations with Applications and Historical Notes
Author: George F. Simmons
Publisher: CRC Press
Published: 2016-11-17
Total Pages: 763
ISBN-13: 1498702600
DOWNLOAD EBOOKFads are as common in mathematics as in any other human activity, and it is always difficult to separate the enduring from the ephemeral in the achievements of one’s own time. An unfortunate effect of the predominance of fads is that if a student doesn’t learn about such worthwhile topics as the wave equation, Gauss’s hypergeometric function, the gamma function, and the basic problems of the calculus of variations—among others—as an undergraduate, then he/she is unlikely to do so later. The natural place for an informal acquaintance with such ideas is a leisurely introductory course on differential equations. Specially designed for just such a course, Differential Equations with Applications and Historical Notes takes great pleasure in the journey into the world of differential equations and their wide range of applications. The author—a highly respected educator—advocates a careful approach, using explicit explanation to ensure students fully comprehend the subject matter. With an emphasis on modeling and applications, the long-awaited Third Edition of this classic textbook presents a substantial new section on Gauss’s bell curve and improves coverage of Fourier analysis, numerical methods, and linear algebra. Relating the development of mathematics to human activity—i.e., identifying why and how mathematics is used—the text includes a wealth of unique examples and exercises, as well as the author’s distinctive historical notes, throughout. Provides an ideal text for a one- or two-semester introductory course on differential equations Emphasizes modeling and applications Presents a substantial new section on Gauss’s bell curve Improves coverage of Fourier analysis, numerical methods, and linear algebra Relates the development of mathematics to human activity—i.e., identifying why and how mathematics is used Includes a wealth of unique examples and exercises, as well as the author’s distinctive historical notes, throughout Uses explicit explanation to ensure students fully comprehend the subject matter Outstanding Academic Title of the Year, Choice magazine, American Library Association.
