Solutions Manual to Accompany Classical Geometry

Author: I. E. Leonard
Publisher: John Wiley & Sons
ISBN: 111890348X
Format: PDF, Kindle
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Solutions Manual to accompany Classical Geometry: Euclidean, Transformational, Inversive, and Projective Written by well-known mathematical problem solvers, Classical Geometry: Euclidean, Transformational, Inversive, and Projective features up-to-date and applicable coverage of the wide spectrum of geometry and aids readers in learning the art of logical reasoning, modeling, and proof. With its reader-friendly approach, this undergraduate text features self-contained topical coverage and provides a large selection of solved exercises to aid in reader comprehension. Material in this text can be tailored for a one-, two-, or three-semester sequence.

Classical Geometry

Author: I. E. Leonard
Publisher: John Wiley & Sons
ISBN: 1118679148
Format: PDF, ePub
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Features the classical themes of geometry with plentiful applications in mathematics, education, engineering, and science Accessible and reader-friendly, Classical Geometry: Euclidean, Transformational, Inversive, and Projective introduces readers to a valuable discipline that is crucial to understanding bothspatial relationships and logical reasoning. Focusing on the development of geometric intuitionwhile avoiding the axiomatic method, a problem solving approach is encouraged throughout. The book is strategically divided into three sections: Part One focuses on Euclidean geometry, which provides the foundation for the rest of the material covered throughout; Part Two discusses Euclidean transformations of the plane, as well as groups and their use in studying transformations; and Part Three covers inversive and projective geometry as natural extensions of Euclidean geometry. In addition to featuring real-world applications throughout, Classical Geometry: Euclidean, Transformational, Inversive, and Projective includes: Multiple entertaining and elegant geometry problems at the end of each section for every level of study Fully worked examples with exercises to facilitate comprehension and retention Unique topical coverage, such as the theorems of Ceva and Menalaus and their applications An approach that prepares readers for the art of logical reasoning, modeling, and proofs The book is an excellent textbook for courses in introductory geometry, elementary geometry, modern geometry, and history of mathematics at the undergraduate level for mathematics majors, as well as for engineering and secondary education majors. The book is also ideal for anyone who would like to learn the various applications of elementary geometry.

A Simple Non Euclidean Geometry and Its Physical Basis

Author: I.M. Yaglom
Publisher: Springer Science & Business Media
ISBN: 146126135X
Format: PDF, ePub, Mobi
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There are many technical and popular accounts, both in Russian and in other languages, of the non-Euclidean geometry of Lobachevsky and Bolyai, a few of which are listed in the Bibliography. This geometry, also called hyperbolic geometry, is part of the required subject matter of many mathematics departments in universities and teachers' colleges-a reflec tion of the view that familiarity with the elements of hyperbolic geometry is a useful part of the background of future high school teachers. Much attention is paid to hyperbolic geometry by school mathematics clubs. Some mathematicians and educators concerned with reform of the high school curriculum believe that the required part of the curriculum should include elements of hyperbolic geometry, and that the optional part of the curriculum should include a topic related to hyperbolic geometry. I The broad interest in hyperbolic geometry is not surprising. This interest has little to do with mathematical and scientific applications of hyperbolic geometry, since the applications (for instance, in the theory of automorphic functions) are rather specialized, and are likely to be encountered by very few of the many students who conscientiously study (and then present to examiners) the definition of parallels in hyperbolic geometry and the special features of configurations of lines in the hyperbolic plane. The principal reason for the interest in hyperbolic geometry is the important fact of "non-uniqueness" of geometry; of the existence of many geometric systems.

Geometry of Complex Numbers

Author: Hans Schwerdtfeger
Publisher: Courier Corporation
ISBN: 0486135861
Format: PDF, ePub
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Illuminating, widely praised book on analytic geometry of circles, the Moebius transformation, and 2-dimensional non-Euclidean geometries.

Heavenly Mathematics

Author: Glen Van Brummelen
Publisher: Princeton University Press
ISBN: 0691148929
Format: PDF, ePub, Mobi
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""Heavenly Mathematics" is heavenly, is mathematics, and is so much more: history, astronomy, geography, and navigation replete with historical illustrations, elegant diagrams, and charming anecdotes. I haven't followed mathematical proofs with such delight in decades. If, as the author laments, spherical trigonometry was in danger of extinction, this book will give it a long-lasting reprieve."--David J. Helfand, president of the American Astronomical Society "This beautifully written book on an unusual topic, with its wealth of historical information about astronomy, navigation, and mathematics, is greatly to be welcomed."--Robin Wilson, president of the British Society for the History of Mathematics, author of "Four Colors Suffice: How the Map Problem Was Solved" "Written by the leading expert on the subject, this engaging book provides an in-depth historical introduction to spherical trigonometry. "Heavenly Mathematics" breathes new and interesting life into a topic that has been slumbering for far too long."--June Barrow-Green, associate editor of "The Princeton Companion to Mathematics" ""Heavenly Mathematics" is a very good book. It offers an interesting, accessible, and entertaining introduction to spherical trigonometry, which used to be a standard school topic but is now rarely studied. Interesting stories, engaging illustrations, and practical examples come together to enhance the reader's pleasure and understanding."--Fernando Q. Gouvea, Colby College "Van Brummelen provides not only a wonderful historical treatment of spherical trigonometry but also a modern one that shows how the ancient and medieval methods were replaced by newer and simpler means of problem solving. Many students will find this a fascinating and worthwhile subject."--Victor J. Katz, editor of "The Mathematics of Egypt, Mesopotamia, China, India, and Islam" "

Merriam Webster s Rhyming Dictionary

Author: Merriam-Webster, Inc
Publisher: Merriam Webster Mass Market
ISBN: 9780877798545
Format: PDF, Mobi
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An easy-to-use, alphabetical guide for creating rhymes. Features 67,000 words with rhyming sounds arranged alphabetically and by number of syllables.

Enaction

Author: John Robert Stewart
Publisher: MIT Press
ISBN: 0262014602
Format: PDF, Kindle
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A comprehensive presentation of an approach that proposes a new account of cognition at levels from the cellular to the social.

Introduction to Projective Geometry

Author: C. R. Wylie
Publisher: Courier Corporation
ISBN: 0486141705
Format: PDF, ePub
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This introductory volume offers strong reinforcement for its teachings, with detailed examples and numerous theorems, proofs, and exercises, plus complete answers to all odd-numbered end-of-chapter problems. 1970 edition.

True Myth

Author: James W. Menzies
Publisher: The Lutterworth Press
ISBN: 071884341X
Format: PDF, ePub
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True Myth examines the meaning and significance of myth as understood by C.S. Lewis and Joseph Campbell and its place in the Christian faith in a technological society. C.S. Lewis defined Christianity, and being truly human, as a relationship between the personal Creator and his creation mediated through faith in his son, Jesus. The influential writer and mythologist Joseph Campbell had a different perspective, understanding Christianity as composed of mythical themes similar to those in other religious and secular myths. While accepting certain portions of the biblical record as historical, Campbell taught the theological and miraculous aspects as symbolic Ð as stories in which the reader discovers what it means to be human today. In contrast, Lewis presented the theological and the miraculous in a literal way. Although Lewis understood how one could see symbolism and lessons for life in miraculous events, he believed they were more than symbolic and indeed took place in human history. In True Myth, James W. Menzies skilfully balances the two writersÕ differing approaches to guide the reader through a complex interaction of myth with philosophy, media, ethics, history, literature, art, music and religion in a contemporary world.