Deductive Geometry

Deductive Geometry
Author: E.A. Maxwell
Publisher: Courier Dover Publications
Total Pages: 196
Release: 2016-01-14
Genre: Mathematics
ISBN: 0486809250

This concise review examines the geometry of the straight line, circle, plane, and sphere as well as their associated configurations, including the triangle and the cylinder. Aimed at university undergraduates, the treatment is also useful for advanced students at the secondary level. The straightforward approach begins with a recapitulation of previous work on the subject, proceeding to explorations of advanced plane geometry, solid geometry with some reference to the geometry of the sphere, and a chapter on the nature of space, including considerations of such properties as congruence, similarity, and symmetry. The text concludes with a brief account of the elementary transformations of projection and inversion. Numerous examples appear throughout the book.

Deductive Geometry

Deductive Geometry
Author: Raymond Guyamier
Publisher: Trafford Publishing
Total Pages: 83
Release: 2013-06
Genre: Mathematics
ISBN: 1490706712

In this book, first-time author Abhishek Mukherjee provides us with a fresh take on romance and relationships. The book unfolds as the protagonist tries to break free from her mediocre life and is ready to trade her life for a deal on her dreams. But she soon finds out that everything is not as it looks like when she starts living with her rescuer and discovers the mighty walls of the mansion whispering secrets about her rescuer’s political family. Friendships are made along the way as she starts trusting those around her. But how long will her trust sustain!The Fall before the Rise is a fast-paced novel that will keep its grip on your attention as the protagonist takes you through her journey in her own words as she discovers relationships budding in the most barren of situations. A story of love and blood, hate and white lies, dreams and reality, it surprises you when you least expect it. Full of unexpected twist, it provides for an exhilarating read.

Geometry and Its Applications

Geometry and Its Applications
Author: Walter A. Meyer
Publisher: Elsevier
Total Pages: 560
Release: 2006-02-21
Genre: Mathematics
ISBN: 0080478034

Meyer's Geometry and Its Applications, Second Edition, combines traditional geometry with current ideas to present a modern approach that is grounded in real-world applications. It balances the deductive approach with discovery learning, and introduces axiomatic, Euclidean geometry, non-Euclidean geometry, and transformational geometry. The text integrates applications and examples throughout and includes historical notes in many chapters. The Second Edition of Geometry and Its Applications is a significant text for any college or university that focuses on geometry's usefulness in other disciplines. It is especially appropriate for engineering and science majors, as well as future mathematics teachers. - Realistic applications integrated throughout the text, including (but not limited to): - Symmetries of artistic patterns - Physics - Robotics - Computer vision - Computer graphics - Stability of architectural structures - Molecular biology - Medicine - Pattern recognition - Historical notes included in many chapters

Computing In Euclidean Geometry

Computing In Euclidean Geometry
Author: Ding-zhu Du
Publisher: World Scientific
Total Pages: 403
Release: 1992-09-14
Genre: Computers
ISBN: 9814505609

This book is a collection of surveys and exploratory articles about recent developments in the field of computational Euclidean geometry. The topics covered are: a history of Euclidean geometry, Voronoi diagrams, randomized geometric algorithms, computational algebra; triangulations, machine proofs, topological designs, finite-element mesh, computer-aided geometric designs and steiner trees. Each chapter is written by a leading expert in the field and together they provide a clear and authoritative picture of what computational Euclidean geometry is and the direction in which research is going.

Computing In Euclidean Geometry (2nd Edition)

Computing In Euclidean Geometry (2nd Edition)
Author: Ding-zhu Du
Publisher: World Scientific
Total Pages: 516
Release: 1995-01-25
Genre: Computers
ISBN: 9814501638

This book is a collection of surveys and exploratory articles about recent developments in the field of computational Euclidean geometry. Topics covered include the history of Euclidean geometry, Voronoi diagrams, randomized geometric algorithms, computational algebra, triangulations, machine proofs, topological designs, finite-element mesh, computer-aided geometric designs and Steiner trees. This second edition contains three new surveys covering geometric constraint solving, computational geometry and the exact computation paradigm.

Perspectives on the Teaching of Geometry for the 21st Century

Perspectives on the Teaching of Geometry for the 21st Century
Author: C. Mammana
Publisher: Springer Science & Business Media
Total Pages: 353
Release: 2012-12-06
Genre: Education
ISBN: 9401152268

In recent years geometry seems to have lost large parts of its former central position in mathematics teaching in most countries. However, new trends have begun to counteract this tendency. There is an increasing awareness that geometry plays a key role in mathematics and learning mathematics. Although geometry has been eclipsed in the mathematics curriculum, research in geometry has blossomed as new ideas have arisen from inside mathematics and other disciplines, including computer science. Due to reassessment of the role of geometry, mathematics educators and mathematicians face new challenges. In the present ICMI study, the whole spectrum of teaching and learning of geometry is analysed. Experts from all over the world took part in this study, which was conducted on the basis of recent international research, case studies, and reports on actual school practice. This book will be of particular interest to mathematics educators and mathematicians who are involved in the teaching of geometry at all educational levels, as well as to researchers in mathematics education.

Early Chinese Work in Natural Science

Early Chinese Work in Natural Science
Author: Joseph C.Y. Chen
Publisher: Hong Kong University Press
Total Pages: 312
Release: 1996-03-01
Genre: Science
ISBN: 9789622093850

This book re-examines the nature of early Chinese work in natural science, on the basis of original records analysis and artifacts discovered in recent decades by archaeological explorations of China's past. It presents a concise account of early scientific ideas and thoughts of nature, and their effect on the development of natural science. It is suggested that the traditional characterization of early Chinese work in natural science requires substantial modification. The absence of early Chinese participation in the development of 'modern' science is not, as commonly assumed, a consequence of lacking early scientific tradition in ancient China. It is argued that the concept of 'inhibitive' factors is dubious without taking their dynamical relationships into account, and that socio-economical and political influence has to be considered when seeking answers to the major setbacks in science and technology in China. The book also shows that there is no basis for the claims saying that acoustics and astronomy in China have their roots in Babylon.

Philosophy of Mathematics and Deductive Structure in Euclid's Elements

Philosophy of Mathematics and Deductive Structure in Euclid's Elements
Author: Ian Mueller
Publisher: Courier Dover Publications
Total Pages: 404
Release: 2006
Genre: Mathematics
ISBN:

A survey of Euclid's Elements, this text provides an understanding of the classical Greek conception of mathematics and its similarities to modern views as well as its differences. It focuses on philosophical, foundational, and logical questions -- rather than focusing strictly on historical and mathematical issues -- and features several helpful appendixes.