Basic Geometry: Manual for Teachers

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821826921
Total Pages : 164 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Basic Geometry: Manual for Teachers by : George David Birkhoff

Download or read book Basic Geometry: Manual for Teachers written by George David Birkhoff and published by American Mathematical Soc.. This book was released on 2000 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lesson plan outline: 9 lessons Lesson plan outline: 15 lessons Lesson plan outline: 19 lessons Lesson plan outline: 12 lessons Lesson plan outline: 27 lessons Lesson plan outline: 19 lessons Lesson plan outline: 17 lessons Lesson plan outline: 6 lessons Lesson plan outline: 14 lessons Lesson plan outline: 7 lessons

Geometry

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Author :
Publisher : Springer Nature
ISBN 13 : 1071602993
Total Pages : 438 pages
Book Rating : 4.0/5 (716 download)

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Book Synopsis Geometry by : Israel M. Gelfand

Download or read book Geometry written by Israel M. Gelfand and published by Springer Nature. This book was released on 2020-02-22 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is the fifth and final in the series of educational books written by Israel Gelfand with his colleagues for high school students. These books cover the basics of mathematics in a clear and simple format – the style Gelfand was known for internationally. Gelfand prepared these materials so as to be suitable for independent studies, thus allowing students to learn and practice the material at their own pace without a class. Geometry takes a different approach to presenting basic geometry for high-school students and others new to the subject. Rather than following the traditional axiomatic method that emphasizes formulae and logical deduction, it focuses on geometric constructions. Illustrations and problems are abundant throughout, and readers are encouraged to draw figures and “move” them in the plane, allowing them to develop and enhance their geometrical vision, imagination, and creativity. Chapters are structured so that only certain operations and the instruments to perform these operations are available for drawing objects and figures on the plane. This structure corresponds to presenting, sequentially, projective, affine, symplectic, and Euclidean geometries, all the while ensuring students have the necessary tools to follow along. Geometry is suitable for a large audience, which includes not only high school geometry students, but also teachers and anyone else interested in improving their geometrical vision and intuition, skills useful in many professions. Similarly, experienced mathematicians can appreciate the book’s unique way of presenting plane geometry in a simple form while adhering to its depth and rigor. “Gelfand was a great mathematician and also a great teacher. The book provides an atypical view of geometry. Gelfand gets to the intuitive core of geometry, to the phenomena of shapes and how they move in the plane, leading us to a better understanding of what coordinate geometry and axiomatic geometry seek to describe.” - Mark Saul, PhD, Executive Director, Julia Robinson Mathematics Festival “The subject matter is presented as intuitive, interesting and fun. No previous knowledge of the subject is required. Starting from the simplest concepts and by inculcating in the reader the use of visualization skills, [and] after reading the explanations and working through the examples, you will be able to confidently tackle the interesting problems posed. I highly recommend the book to any person interested in this fascinating branch of mathematics.” - Ricardo Gorrin, a student of the Extended Gelfand Correspondence Program in Mathematics (EGCPM)

Geometry Made Simple

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Author :
Publisher : Frank Schaffer Publications Incorporated
ISBN 13 : 9780768202625
Total Pages : 80 pages
Book Rating : 4.2/5 (26 download)

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Book Synopsis Geometry Made Simple by : Kathleen Eernisse

Download or read book Geometry Made Simple written by Kathleen Eernisse and published by Frank Schaffer Publications Incorporated. This book was released on 2001-09-11 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now it's simple to make Algebra and Geometry fun and exciting. Includes background information, extension activities, group learning, school-home connections, and student activities for a variety of teaching units. An easy-to-use teacher resource that makes learning fun!

Introduction to Geometry

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Author :
Publisher :
ISBN 13 :
Total Pages : 469 pages
Book Rating : 4.:/5 (895 download)

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Book Synopsis Introduction to Geometry by : Harold Scott Macdonald Coxeter

Download or read book Introduction to Geometry written by Harold Scott Macdonald Coxeter and published by . This book was released on 1989 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Geometry

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Author :
Publisher : John Wiley & Sons
ISBN 13 : 0471680192
Total Pages : 284 pages
Book Rating : 4.4/5 (716 download)

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Book Synopsis Geometry by : Steve Slavin

Download or read book Geometry written by Steve Slavin and published by John Wiley & Sons. This book was released on 2004-10-28 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learn geometry at your own pace What are congruent circles? How do you find the hypotenuse of a triangle? What is the sum of the angles in a decagon? How can you apply geometric equations to your daily life? With the unbeatable study companion Geometry: A Self-Teaching Guide, you'll discover the answers to these questions and many more. This thorough primer presents an easy-to-follow, proven method for grasping the key concepts of geometry. You'll progress step by step through plane, solid, and analytic geometry and then move on to geometric applications for calculus. You'll build your problem-solving skills along the way through detailed examples, reviews, exercises, and answer explanations. The clearly structured format of Geometry makes it fully accessible, providing an easily understood, comprehensive overview for everyone from high school students to adult learners to math mavens. Like all Self-Teaching Guides, Geometry allows you to build gradually on what you have learned-at your own pace. Questions and self-tests reinforce the information in each chapter and allow you to skip ahead or focus on specific areas of concern. Packed with useful, up-to-date information, this clear, concise volume is a valuable learning tool and reference source for anyone who wants to improve his or her understanding of basic geometry.

Riemannian Geometry

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Author :
Publisher : A K Peters/CRC Press
ISBN 13 : 9781568814711
Total Pages : 0 pages
Book Rating : 4.8/5 (147 download)

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Book Synopsis Riemannian Geometry by : Frank Morgan

Download or read book Riemannian Geometry written by Frank Morgan and published by A K Peters/CRC Press. This book was released on 2009-06-22 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic text serves as a tool for self-study; it is also used as a basic text for undergraduate courses in differential geometry. The author's ability to extract the essential elements of the theory in a lucid and concise fashion allows the student easy access to the material and enables the instructor to add emphasis and cover special topics. The extraordinary wealth of examples within the exercises and the new material, ranging from isoperimetric problems to comments on Einstein's original paper on relativity theory, enhance this new edition.

Beginner's Book of Geometry

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Author :
Publisher : Chelsea Publishing Company, Incorporated
ISBN 13 :
Total Pages : 264 pages
Book Rating : 4.4/5 (91 download)

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Book Synopsis Beginner's Book of Geometry by : Grace Chisholm Young

Download or read book Beginner's Book of Geometry written by Grace Chisholm Young and published by Chelsea Publishing Company, Incorporated. This book was released on 1970 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Euclidean Geometry in Mathematical Olympiads

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 1470466201
Total Pages : 311 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Euclidean Geometry in Mathematical Olympiads by : Evan Chen

Download or read book Euclidean Geometry in Mathematical Olympiads written by Evan Chen and published by American Mathematical Soc.. This book was released on 2021-08-23 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a challenging problem-solving book in Euclidean geometry, assuming nothing of the reader other than a good deal of courage. Topics covered included cyclic quadrilaterals, power of a point, homothety, triangle centers; along the way the reader will meet such classical gems as the nine-point circle, the Simson line, the symmedian and the mixtilinear incircle, as well as the theorems of Euler, Ceva, Menelaus, and Pascal. Another part is dedicated to the use of complex numbers and barycentric coordinates, granting the reader both a traditional and computational viewpoint of the material. The final part consists of some more advanced topics, such as inversion in the plane, the cross ratio and projective transformations, and the theory of the complete quadrilateral. The exposition is friendly and relaxed, and accompanied by over 300 beautifully drawn figures. The emphasis of this book is placed squarely on the problems. Each chapter contains carefully chosen worked examples, which explain not only the solutions to the problems but also describe in close detail how one would invent the solution to begin with. The text contains a selection of 300 practice problems of varying difficulty from contests around the world, with extensive hints and selected solutions. This book is especially suitable for students preparing for national or international mathematical olympiads or for teachers looking for a text for an honor class.

Cartan for Beginners

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821833758
Total Pages : 394 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Cartan for Beginners by : Thomas Andrew Ivey

Download or read book Cartan for Beginners written by Thomas Andrew Ivey and published by American Mathematical Soc.. This book was released on 2003 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to Cartan's approach to differential geometry. Two central methods in Cartan's geometry are the theory of exterior differential systems and the method of moving frames. This book presents thorough and modern treatments of both subjects, including their applications to both classic and contemporary problems. It begins with the classical geometry of surfaces and basic Riemannian geometry in the language of moving frames, along with an elementary introduction to exterior differential systems. Key concepts are developed incrementally with motivating examples leading to definitions, theorems, and proofs. Once the basics of the methods are established, the authors develop applications and advanced topics.One notable application is to complex algebraic geometry, where they expand and update important results from projective differential geometry. The book features an introduction to $G$-structures and a treatment of the theory of connections. The Cartan machinery is also applied to obtain explicit solutions of PDEs via Darboux's method, the method of characteristics, and Cartan's method of equivalence. This text is suitable for a one-year graduate course in differential geometry, and parts of it can be used for a one-semester course. It has numerous exercises and examples throughout. It will also be useful to experts in areas such as PDEs and algebraic geometry who want to learn how moving frames and exterior differential systems apply to their fields.

Basic Geometry

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Author :
Publisher : Houghton Mifflin
ISBN 13 : 9780395501207
Total Pages : 0 pages
Book Rating : 4.5/5 (12 download)

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Book Synopsis Basic Geometry by : Jurgensen

Download or read book Basic Geometry written by Jurgensen and published by Houghton Mifflin. This book was released on 1989-05 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Geometry

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Author :
Publisher : Aops Incorporated
ISBN 13 : 9781934124086
Total Pages : 557 pages
Book Rating : 4.1/5 (24 download)

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Book Synopsis Introduction to Geometry by : Richard Rusczyk

Download or read book Introduction to Geometry written by Richard Rusczyk and published by Aops Incorporated. This book was released on 2007-07-01 with total page 557 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Elementary Euclidean Geometry

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Author :
Publisher : Cambridge University Press
ISBN 13 : 9780521834483
Total Pages : 194 pages
Book Rating : 4.8/5 (344 download)

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Book Synopsis Elementary Euclidean Geometry by : C. G. Gibson

Download or read book Elementary Euclidean Geometry written by C. G. Gibson and published by Cambridge University Press. This book was released on 2003 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, first published in 2004, is an example based and self contained introduction to Euclidean geometry with numerous examples and exercises.

Analytical Geometry for Beginners

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Author :
Publisher : Alpha Edition
ISBN 13 : 9789354049354
Total Pages : 228 pages
Book Rating : 4.0/5 (493 download)

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Book Synopsis Analytical Geometry for Beginners by : Alfred Baker

Download or read book Analytical Geometry for Beginners written by Alfred Baker and published by Alpha Edition. This book was released on 2020-08-17 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has been considered by academicians and scholars of great significance and value to literature. This forms a part of the knowledge base for future generations. So that the book is never forgotten we have represented this book in a print format as the same form as it was originally first published. Hence any marks or annotations seen are left intentionally to preserve its true nature.

The Four Pillars of Geometry

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 0387255303
Total Pages : 240 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis The Four Pillars of Geometry by : John Stillwell

Download or read book The Four Pillars of Geometry written by John Stillwell and published by Springer Science & Business Media. This book was released on 2005-08-09 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is unique in that it looks at geometry from 4 different viewpoints - Euclid-style axioms, linear algebra, projective geometry, and groups and their invariants Approach makes the subject accessible to readers of all mathematical tastes, from the visual to the algebraic Abundantly supplemented with figures and exercises

Euclid

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Publisher :
ISBN 13 : 9781908944368
Total Pages : 54 pages
Book Rating : 4.9/5 (443 download)

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Book Synopsis Euclid by : Shoo Rayner

Download or read book Euclid written by Shoo Rayner and published by . This book was released on 2017-11-02 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometry is brought to life as Euclid explains principles of Geometry to his friends. With jokes and lots of illustrations, discover the beauty of geometry and, before you know it, you too will soon be a friend of Euclid! Shoo Rayner adds humour and simplicity to a tricky subject. A perfect introduction.

Geometry Genius

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Publisher : National Geographic Books
ISBN 13 : 1465491147
Total Pages : 0 pages
Book Rating : 4.4/5 (654 download)

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Book Synopsis Geometry Genius by : DK

Download or read book Geometry Genius written by DK and published by National Geographic Books. This book was released on 2020-07-14 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: An interactive guide to shapes for 5 to 8 year olds, this bright and bold lift-the-flap activity book helps children understand the properties of 2-D and 3-D shapes. Shapes are an important topic for early learners, and this visually appealing book will make it a lot of fun, too! Geometry Genius features fun geometric characters, like Fox and Lion, and lift-the-flap activities that help kids relate shapes to everyday life. Characters pose key questions, such as "What's special about a sphere?," "What is an equilateral triangle?," and "How many lines of symmetry does a hexagon have?" Children can then lift the flaps and find the answers. An interactive pop-up will also bring learning to life by encouraging kids to spot different shapes within the scene. Geometry Genius helps kids identify and describe 2-D and 3-D shapes, compare and contrast features of regular and irregular shapes, discuss the size and orientation of shapes, understand nets, identify and count lines of symmetry, and more! It gets kids thinking about shapes in their world and not just on the pages of a math book. Quiz questions and fun activities are found sprinkled throughout the book, encouraging kids to lift the flaps and find out more. Learning shapes is a highly visual topic, and this book tackles the subject in a visually appealing, fully interactive, and playful way.

Elementary Geometry from an Advanced Standpoint

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Author :
Publisher : Addison Wesley
ISBN 13 :
Total Pages : 520 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Elementary Geometry from an Advanced Standpoint by : Edwin E. Moise

Download or read book Elementary Geometry from an Advanced Standpoint written by Edwin E. Moise and published by Addison Wesley. This book was released on 1990 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: Students can rely on Moise's clear and thorough presentation of basic geometry theorems. The author assumes that students have no previous knowledge of the subject and presents the basics of geometry from the ground up. This comprehensive approach gives instructors flexibility in teaching. For example, an advanced class may progress rapidly through Chapters 1-7 and devote most of its time to the material presented in Chapters 8, 10, 14, 19, and 20. Similarly, a less advanced class may go carefully through Chapters 1-7, and omit some of the more difficult chapters, such as 20 and 24.