Lessons in Geometry: Plane geometry

Author: Jacques Hadamard

Publisher: American Mathematical Soc.

ISBN: 0821843672

Category: Mathematics

Page: 330

View: 5827

This is a work in the tradition of Euclidean synthetic geometry written by one of the 20th century's great mathematicians. The text starts where Euclid starts, and covers all the basics of plane Euclidean geometry.
Posted in Mathematics

Manual and key to plane geometry

Author: William Weller Strader,Lawrence D. Rhodes

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: 156

View: 1030

Posted in Mathematics

An elementary treatise on plane geometry

according to the method of rectilineal co-ordinates

Author: Thomas Smith

Publisher: N.A

ISBN: N.A

Category: Coordinates

Page: 146

View: 9734

Posted in Coordinates

Plain Plane Geometry

Author: Amol Sasane

Publisher: World Scientific Publishing Company

ISBN: 9814740462

Category: Mathematics

Page: 288

View: 9322

The book constitutes an elementary course on Plane Euclidean Geometry, pitched at pre-university or at advanced high school level. It is a concise book treating the subject axiomatically, but since it is meant to be a first introduction to the subject, excessive rigour is avoided, making it appealing to a younger audience as well. The aim is to cover the basics of the subject, while keeping the subject lively by means of challenging and interesting exercises. This makes it relevant also for students participating in mathematics circles and in mathematics olympiads. Each section contains several problems, which are not purely drill exercises, but are intended to introduce a sense of "play" in mathematics, and inculcate appreciation of the elegance and beauty of geometric results. There is an abundance of colour pictures illustrating results and their proofs. A section on hints and a further section on detailed solutions to all the exercises appear at the end of the book, making the book ideal also for self-study.
Posted in Mathematics

Transformational Plane Geometry

Author: Ronald N. Umble,Zhigang Han

Publisher: CRC Press

ISBN: 1482234726

Category: Mathematics

Page: 234

View: 8857

Designed for a one-semester course at the junior undergraduate level, Transformational Plane Geometry takes a hands-on, interactive approach to teaching plane geometry. The book is self-contained, defining basic concepts from linear and abstract algebra gradually as needed. The text adheres to the National Council of Teachers of Mathematics Principles and Standards for School Mathematics and the Common Core State Standards Initiative Standards for Mathematical Practice. Future teachers will acquire the skills needed to effectively apply these standards in their classrooms. Following Felix Klein’s Erlangen Program, the book provides students in pure mathematics and students in teacher training programs with a concrete visual alternative to Euclid’s purely axiomatic approach to plane geometry. It enables geometrical visualization in three ways: Key concepts are motivated with exploratory activities using software specifically designed for performing geometrical constructions, such as Geometer’s Sketchpad. Each concept is introduced synthetically (without coordinates) and analytically (with coordinates). Exercises include numerous geometric constructions that use a reflecting instrument, such as a MIRA. After reviewing the essential principles of classical Euclidean geometry, the book covers general transformations of the plane with particular attention to translations, rotations, reflections, stretches, and their compositions. The authors apply these transformations to study congruence, similarity, and symmetry of plane figures and to classify the isometries and similarities of the plane.
Posted in Mathematics

Plane Geometry (Classic Reprint)

Author: J. W. A. Young

Publisher: Forgotten Books

ISBN: 9780267705870

Category: Mathematics

Page: 328

View: 3104

Excerpt from Plane Geometry The facts of geometry are unchangeable. The experience of the past has determined what body of these facts is suitable for secondary school work, both for teaching the geometric type of reasoning and for application in the arts and sciences. Therefore, a book that would avoid the bizarre and the erratic must profit by the experience of the past and confine its attempt at novelty to the field of method. More skillful presentations and more effectual ways of reaching the chief ends of the teaching of geometry are always possible. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Posted in Mathematics

Hadamard's Plane Geometry

A Reader's Companion

Author: Mark E. Saul

Publisher: American Mathematical Soc.

ISBN: 0821843680

Category: Mathematics

Page: 347

View: 3940

Jacques Hadamard, among the greatest mathematicians of the twentieth century, made signal contributions to a number of fields. But his mind could not be confined to the upper reaches of mathematical thought. He also produced a massive two-volume work, on plane and solid geometry, for pre-college teachers in the French school system. In those books, Hadamard's style invites participation. His exposition is minimal, providing only the results necessary to support the solution of the many elegant problems he poses afterwards. That is, the problems interpret the text in the way that harmony interprets melody in a well-composed piece of music. The present volume offers solutions to the problems in the first part of Hadamard's work (Lessons in Geometry. I. Plane Geometry, Jacques Hadamard, Amer. Math. Soc. (2008)), and can be viewed as a reader's companion to that book. It requires of the reader only the background of high school plane geometry, which Lessons in Geometry provides. The solutions strive to connect the general methods given in the text with intuitions that are natural to the subject, giving as much motivation as possible as well as rigorous and formal solutions. Ideas for further exploration are often suggested, as well as hints for classroom use. This book will be of interest to high school teachers, gifted high school students, college students, and those mathematics majors interested in geometry.
Posted in Mathematics

A High School First Course in Euclidean Plane Geometry

Author: Charles H. Aboughantous

Publisher: Universal-Publishers

ISBN: 1599428229

Category: Mathematics

Page: 166

View: 2534

A High School First Course in Euclidean Plane Geometry is intended to be a first course in plane geometry at the high school level. Individuals who do not have a formal background in geometry can also benefit from studying the subject using this book. The content of the book is based on Euclid's five postulates of plane geometry and the most common theorems. It promotes the art and the skills of developing logical proofs. Most of the theorems are provided with detailed proofs. A large number of sample problems are presented throughout the book with detailed solutions. Practice problems are included at the end of each chapter and are presented in three groups: geometric construction problems, computational problems, and theorematical problems. The answers to the computational problems are included at the end of the book. Many of those problems are simplified classic engineering problems that can be solved by average students. The detailed solutions to all the problems in the book are contained in the Solutions Manual. A High School First Course in Euclidean Plane Geometry is the distillation of the author's experience in teaching geometry over many years in U.S. high schools and overseas. The book is best described in the introduction. The prologue offers a study guide to get the most benefits from the book.
Posted in Mathematics

Plane geometry

a modern text

Author: William Weller Strader,Lawrence D. Rhoads

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: 399

View: 1110

Posted in Mathematics

Plane geometry

Author: John F. Schacht,Roderick C. McLennan

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: 494

View: 859

Posted in Mathematics

Plane geometry

Author: Ernst Rudolph Breslich

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: 442

View: 8010

Posted in Mathematics

Plane geometry

with problems and applications

Author: Herbert Ellsworth Slaught,Nels Johann Lennes

Publisher: N.A

ISBN: N.A

Category: History

Page: 280

View: 2908

Posted in History

Plane geometry

Author: Leonard Daum Haertter

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: 327

View: 1610

Posted in Mathematics