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Author: S. G. Dani Publisher: Springer Nature ISBN: 3030136094 Category : Mathematics Languages : en Pages : 759
Book Description
This 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.
Author: S. G. Dani Publisher: Springer Nature ISBN: 3030136094 Category : Mathematics Languages : en Pages : 759
Book Description
This 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.
Author: Christoph J. Scriba Publisher: Birkhäuser ISBN: 3034808984 Category : Mathematics Languages : en Pages : 626
Book Description
The present volume provides a fascinating overview of geometrical ideas and perceptions from the earliest cultures to the mathematical and artistic concepts of the 20th century. It is the English translation of the 3rd edition of the well-received German book “5000 Jahre Geometrie,” in which geometry is presented as a chain of developments in cultural history and their interaction with architecture, the visual arts, philosophy, science and engineering. Geometry originated in the ancient cultures along the Indus and Nile Rivers and in Mesopotamia, experiencing its first “Golden Age” in Ancient Greece. Inspired by the Greek mathematics, a new germ of geometry blossomed in the Islamic civilizations. Through the Oriental influence on Spain, this knowledge later spread to Western Europe. Here, as part of the medieval Quadrivium, the understanding of geometry was deepened, leading to a revival during the Renaissance. Together with parallel achievements in India, China, Japan and the ancient American cultures, the European approaches formed the ideas and branches of geometry we know in the modern age: coordinate methods, analytical geometry, descriptive and projective geometry in the 17th an 18th centuries, axiom systems, geometry as a theory with multiple structures and geometry in computer sciences in the 19th and 20th centuries. Each chapter of the book starts with a table of key historical and cultural dates and ends with a summary of essential contents of geometr y in the respective era. Compelling examples invite the reader to further explore the problems of geometry in ancient and modern times. The book will appeal to mathematicians interested in Geometry and to all readers with an interest in cultural history. From letters to the authors for the German language edition I hope it gets a translation, as there is no comparable work. Prof. J. Grattan-Guinness (Middlesex University London) "Five Thousand Years of Geometry" - I think it is the most handsome book I have ever seen from Springer and the inclusion of so many color plates really improves its appearance dramatically! Prof. J.W. Dauben (City University of New York) An excellent book in every respect. The authors have successfully combined the history of geometry with the general development of culture and history. ... The graphic design is also excellent. Prof. Z. Nádenik (Czech Technical University in Prague)
Author: Carl B. Boyer Publisher: Courier Corporation ISBN: 0486154513 Category : Mathematics Languages : en Pages : 306
Book Description
This study presents the concepts and contributions from before the Alexandrian Age through to Fermat and Descartes, and on through Newton and Euler to the "Golden Age," from 1789 to 1850. 1956 edition. Analytical bibliography. Index.
Author: J. L. Heilbron Publisher: Oxford University Press ISBN: 9780198506904 Category : History Languages : en Pages : 344
Book Description
This lavishly illustrated book provides an unusually accessible approach to geometry by placing it in historical context. With concise discussions and carefully chosen illustrations the author brings the material to life by showing what problems motivated early geometers throughout the world. Geometry Civilized covers classical plane geometry, emphasizing the methods of Euclid but also drawing on advances made in China and India. It includes a wide range of problems, solutions, and illustrations, as well as a chapter on trigonometry, and prepares its readers for the study of solid geometry and conic sections.
Author: Boris A. Rosenfeld Publisher: Springer Science & Business Media ISBN: 1441986804 Category : Mathematics Languages : en Pages : 481
Book Description
The Russian edition of this book appeared in 1976 on the hundred-and-fiftieth anniversary of the historic day of February 23, 1826, when LobaeevskiI delivered his famous lecture on his discovery of non-Euclidean geometry. The importance of the discovery of non-Euclidean geometry goes far beyond the limits of geometry itself. It is safe to say that it was a turning point in the history of all mathematics. The scientific revolution of the seventeenth century marked the transition from "mathematics of constant magnitudes" to "mathematics of variable magnitudes. " During the seventies of the last century there occurred another scientific revolution. By that time mathematicians had become familiar with the ideas of non-Euclidean geometry and the algebraic ideas of group and field (all of which appeared at about the same time), and the (later) ideas of set theory. This gave rise to many geometries in addition to the Euclidean geometry previously regarded as the only conceivable possibility, to the arithmetics and algebras of many groups and fields in addition to the arith metic and algebra of real and complex numbers, and, finally, to new mathe matical systems, i. e. , sets furnished with various structures having no classical analogues. Thus in the 1870's there began a new mathematical era usually called, until the middle of the twentieth century, the era of modern mathe matics.
Author: John Tabak Publisher: Infobase Publishing ISBN: 0816068763 Category : Electronic books Languages : en Pages : 241
Book Description
Greek ideas about geometry, straight-edge and compass constructions, and the nature of mathematical proof dominated mathematical thought for about 2,000 years.
Author: Suzanne C. Dieudonne Publisher: CRC Press ISBN: 1351440543 Category : Mathematics Languages : en Pages : 186
Book Description
This book contains several fundamental ideas that are revived time after time in different guises, providing a better understanding of algebraic geometric phenomena. It shows how the field is enriched with loans from analysis and topology and from commutative algebra and homological algebra.
Author: Alexander Ostermann Publisher: Springer Science & Business Media ISBN: 3642291635 Category : Mathematics Languages : en Pages : 440
Book Description
In this textbook the authors present first-year geometry roughly in the order in which it was discovered. The first five chapters show how the ancient Greeks established geometry, together with its numerous practical applications, while more recent findings on Euclidian geometry are discussed as well. The following three chapters explain the revolution in geometry due to the progress made in the field of algebra by Descartes, Euler and Gauss. Spatial geometry, vector algebra and matrices are treated in chapters 9 and 10. The last chapter offers an introduction to projective geometry, which emerged in the 19thcentury. Complemented by numerous examples, exercises, figures and pictures, the book offers both motivation and insightful explanations, and provides stimulating and enjoyable reading for students and teachers alike.
Author: Kirsti Andersen Publisher: Springer Science & Business Media ISBN: 0387489460 Category : Mathematics Languages : en Pages : 837
Book Description
This review of literature on perspective constructions from the Renaissance through the 18th century covers 175 authors, emphasizing Peiro della Francesca, Guidobaldo del Monte, Simon Stevin, Brook Taylor, and Johann Heinrich. It treats such topics as the various methods of constructing perspective, the development of theories underlying the constructions, and the communication between mathematicians and artisans in these developments.
Author: Bonnie Leech Publisher: The Rosen Publishing Group, Inc ISBN: 1435841646 Category : Juvenile Nonfiction Languages : en Pages : 33
Book Description
This book introduces students to both ancient and modern pioneer figures of geometry. Students are entertainingly guided through important theories and concepts integral to the use of geometry. Includes detailed background information on Pythagoras of Samos, Euclid of Alexandria, Rene Descartes, and Grace Chisholm Young. Fascinating coverage is provided on the models of the Pythagorean theorem, the basics of Euclidean geometry, and the Cartesian coordinate system.
Author: S. G. Dani
Author: S. G. Dani
Author: Christoph J. Scriba
Author: Carl B. Boyer
Author: J. L. Heilbron
Author: Boris A. Rosenfeld
Author: John Tabak
Author: Suzanne C. Dieudonne
Author: Alexander Ostermann
Author: Kirsti Andersen
Author: Bonnie Leech