The Universe Of Conics

Author: Georg Glaeser
Publisher: Springer
ISBN: 3662454505
Size: 52.93 MB
Format: PDF, Kindle
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This text presents the classical theory of conics in a modern form. It includes many novel results that are not easily accessible elsewhere. The approach combines synthetic and analytic methods to derive projective, affine and metrical properties, covering both Euclidean and non-Euclidean geometries. With more than two thousand years of history, conic sections play a fundamental role in numerous fields of mathematics and physics, with applications to mechanical engineering, architecture, astronomy, design and computer graphics. This text will be invaluable to undergraduate mathematics students, those in adjacent fields of study, and anyone with an interest in classical geometry. Augmented with more than three hundred fifty figures and photographs, this innovative text will enhance your understanding of projective geometry, linear algebra, mechanics, and differential geometry, with careful exposition and many illustrative exercises.

Ancient Greece

Author: Thomas R. Martin
Publisher: Yale University Press
ISBN: 0300190638
Size: 80.81 MB
Format: PDF, Mobi
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DIVIn this compact yet comprehensive history of ancient Greece, Thomas R. Martin brings alive Greek civilization from its Stone Age roots to the fourth century B.C. Focusing on the development of the Greek city-state and the society, culture, and architecture of Athens in its Golden Age, Martin integrates political, military, social, and cultural history in a book that will appeal to students and general readers alike. Now in its second edition, this classic work now features new maps and illustrations, a new introduction, and updates throughout./divDIV /divDIV“A limpidly written, highly accessible, and comprehensive history of Greece and its civilizations from prehistory through the collapse of Alexander the Great’s empire. . . . A highly readable account of ancient Greece, particularly useful as an introductory or review text for the student or the general reader.�—Kirkus Reviews/divDIV /divDIV“A polished and informative work that will be useful for general readers and students.�—Daniel Tompkins, Temple University/divDIV/div

Observations And Predictions Of Eclipse Times By Early Astronomers

Author: J.M. Steele
Publisher: Springer Science & Business Media
ISBN: 9401595283
Size: 62.81 MB
Format: PDF, ePub
View: 1997
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Eclipses have long been seen as important celestial phenomena, whether as omens affecting the future of kingdoms, or as useful astronomical events to help in deriving essential parameters for theories of the motion of the moon and sun. This is the first book to collect together all presently known records of timed eclipse observations and predictions from antiquity to the time of the invention of the telescope. In addition to cataloguing and assessing the accuracy of the various records, which come from regions as diverse as Ancient Mesopotamia, China, and Europe, the sources in which they are found are described in detail. Related questions such as what type of clocks were used to time the observations, how the eclipse predictions were made, and how these prediction schemes were derived from the available observations are also considered. The results of this investigation have important consequences for how we understand the relationship between observation and theory in early science and the role of astronomy in early cultures, and will be of interest to historians of science, astronomers, and ancient and medieval historians.

History Of Western Philosophy

Author: Bertrand Russell
Publisher: Routledge
ISBN: 1135692912
Size: 59.99 MB
Format: PDF
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Now in a special gift edition, and featuring a brand new foreword by Anthony Gottlieb, this is a dazzlingly unique exploration of the works of significant philosophers throughout the ages and a definitive must-have title that deserves a revered place on every bookshelf.

Symmetry And Pattern In Projective Geometry

Author: Eric Lord
Publisher: Springer Science & Business Media
ISBN: 144714631X
Size: 46.64 MB
Format: PDF, ePub
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Symmetry and Pattern in Projective Geometry is a self-contained study of projective geometry which compares and contrasts the analytic and axiomatic methods. The analytic approach is based on homogeneous coordinates, and brief introductions to Plücker coordinates and Grassmann coordinates are presented. This book looks carefully at linear, quadratic, cubic and quartic figures in two, three and higher dimensions. It deals at length with the extensions and consequences of basic theorems such as those of Pappus and Desargues. The emphasis throughout is on special configurations that have particularly interesting symmetry properties. The intricate and novel ideas of ‘Donald’ Coxeter, who is considered one of the great geometers of the twentieth century, are also discussed throughout the text. The book concludes with a useful analysis of finite geometries and a description of some of the remarkable configurations discovered by Coxeter. This book will be appreciated by mathematics students and those wishing to learn more about the subject of geometry. It makes accessible subjects and theorems which are often considered quite complicated and presents them in an easy-to-read and enjoyable manner.

Lattice Theory Foundation

Author: George Grätzer
Publisher: Springer Science & Business Media
ISBN: 9783034800181
Size: 72.15 MB
Format: PDF, Mobi
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This book started with Lattice Theory, First Concepts, in 1971. Then came General Lattice Theory, First Edition, in 1978, and the Second Edition twenty years later. Since the publication of the first edition in 1978, General Lattice Theory has become the authoritative introduction to lattice theory for graduate students and the standard reference for researchers. The First Edition set out to introduce and survey lattice theory. Some 12,000 papers have been published in the field since then; so Lattice Theory: Foundation focuses on introducing the field, laying the foundation for special topics and applications. Lattice Theory: Foundation, based on the previous three books, covers the fundamental concepts and results. The main topics are distributivity, congruences, constructions, modularity and semimodularity, varieties, and free products. The chapter on constructions is new, all the other chapters are revised and expanded versions from the earlier volumes. Almost 40 “diamond sections’’, many written by leading specialists in these fields, provide a brief glimpse into special topics beyond the basics. “Lattice theory has come a long way... For those who appreciate lattice theory, or who are curious about its techniques and intriguing internal problems, Professor Grätzer's lucid new book provides a most valuable guide to many recent developments. Even a cursory reading should provide those few who may still believe that lattice theory is superficial or naive, with convincing evidence of its technical depth and sophistication.” Bulletin of the American Mathematical Society “Grätzer’s book General Lattice Theory has become the lattice theorist’s bible.” Mathematical Reviews

The Concept Of A Riemann Surface

Author: Hermann Weyl
Publisher: Courier Corporation
ISBN: 048613167X
Size: 66.82 MB
Format: PDF, Docs
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This classic on the general history of functions combines function theory and geometry, forming the basis of the modern approach to analysis, geometry, and topology. 1955 edition.

Geometric Methods And Applications

Author: Jean Gallier
Publisher: Springer Science & Business Media
ISBN: 1461301378
Size: 75.70 MB
Format: PDF, Kindle
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As an introduction to fundamental geometric concepts and tools needed for solving problems of a geometric nature using a computer, this book fills the gap between standard geometry books, which are primarily theoretical, and applied books on computer graphics, computer vision, or robotics that do not cover the underlying geometric concepts in detail. Gallier offers an introduction to affine, projective, computational, and Euclidean geometry, basics of differential geometry and Lie groups, and explores many of the practical applications of geometry. Some of these include computer vision, efficient communication, error correcting codes, cryptography, motion interpolation, and robot kinematics. This comprehensive text covers most of the geometric background needed for conducting research in computer graphics, geometric modeling, computer vision, and robotics and as such will be of interest to a wide audience including computer scientists, mathematicians, and engineers.

Mathematics Across Cultures

Author: Helaine Selin
Publisher: Springer Science & Business Media
ISBN: 9401143013
Size: 24.66 MB
Format: PDF
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Mathematics Across Cultures: A History of Non-Western Mathematics consists of essays dealing with the mathematical knowledge and beliefs of cultures outside the United States and Europe. In addition to articles surveying Islamic, Chinese, Native American, Aboriginal Australian, Inca, Egyptian, and African mathematics, among others, the book includes essays on Rationality, Logic and Mathematics, and the transfer of knowledge from East to West. The essays address the connections between science and culture and relate the mathematical practices to the cultures which produced them. Each essay is well illustrated and contains an extensive bibliography. Because the geographic range is global, the book fills a gap in both the history of science and in cultural studies. It should find a place on the bookshelves of advanced undergraduate students, graduate students, and scholars, as well as in libraries serving those groups.