A Geometry For Beginners

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Geometry

Author : Israel M. Gelfand
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

Author : Steve Slavin
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.

Introduction to Geometry

Author : Harold Scott Macdonald Coxeter
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:

Euclid

Author : Shoo Rayner
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.

Analytical Geometry for Beginners

Author : Alfred Baker
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.

Geometry Essentials For Dummies

Author : Mark Ryan
Publisher : John Wiley & Sons
ISBN 13 : 1119590469
Total Pages : 212 pages
Book Rating : 4.1/5 (195 download)

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Book Synopsis Geometry Essentials For Dummies by : Mark Ryan

Download or read book Geometry Essentials For Dummies written by Mark Ryan and published by John Wiley & Sons. This book was released on 2019-04-19 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometry Essentials For Dummies (9781119590446) was previously published as Geometry Essentials For Dummies (9781118068755). While this version features a new Dummies cover and design, the content is the same as the prior release and should not be considered a new or updated product. Just the critical concepts you need to score high in geometry This practical, friendly guide focuses on critical concepts taught in a typical geometry course, from the properties of triangles, parallelograms, circles, and cylinders, to the skills and strategies you need to write geometry proofs. Geometry Essentials For Dummies is perfect for cramming or doing homework, or as a reference for parents helping kids study for exams. Get down to the basics — get a handle on the basics of geometry, from lines, segments, and angles, to vertices, altitudes, and diagonals Conquer proofs with confidence — follow easy-to-grasp instructions for understanding the components of a formal geometry proof Take triangles in strides — learn how to take in a triangle's sides, analyze its angles, work through an SAS proof, and apply the Pythagorean Theorem Polish up on polygons — get the lowdown on quadrilaterals and other polygons: their angles, areas, properties, perimeters, and much more

Geometry Made Simple

Author : Kathleen Eernisse
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!

Euclidean Geometry in Mathematical Olympiads

Author : Evan Chen
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.

Beginner's Book of Geometry

Author : Grace Chisholm Young
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:

Riemannian Geometry

Author : Frank Morgan
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.

Algebraic Geometry for Beginners

Author : C. Musili
Publisher : Springer
ISBN 13 : 9386279053
Total Pages : 349 pages
Book Rating : 4.3/5 (862 download)

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Book Synopsis Algebraic Geometry for Beginners by : C. Musili

Download or read book Algebraic Geometry for Beginners written by C. Musili and published by Springer. This book was released on 2001-03-15 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Cartan for Beginners

Author : Thomas Andrew Ivey
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.

Drawing Geometry

Author :
Publisher : Floris Books - Floris Books
ISBN 13 : 9780863156083
Total Pages : 86 pages
Book Rating : 4.1/5 (56 download)

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Book Synopsis Drawing Geometry by :

Download or read book Drawing Geometry written by and published by Floris Books - Floris Books. This book was released on 2007 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometry is both elegantly simple and infinitely profound. Many professionals find they need to be able to draw geometric shapes accurately, and this unique book shows them how. It provides step-by-step instructions for constructing two-dimensional geometric shapes, which can be readily followed by a beginner, or used as an invaluable source book by students and professionals.

Geometry For Dummies

Author : Mark Ryan
Publisher : John Wiley & Sons
ISBN 13 : 0470089466
Total Pages : 410 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Geometry For Dummies by : Mark Ryan

Download or read book Geometry For Dummies written by Mark Ryan and published by John Wiley & Sons. This book was released on 2008-01-03 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learning geometry doesn’t have to hurt. With a little bit of friendly guidance, it can even be fun! Geometry For Dummies, 2nd Edition, helps you make friends with lines, angles, theorems and postulates. It eases you into all the principles and formulas you need to analyze two- and three-dimensional shapes, and it gives you the skills and strategies you need to write geometry proofs. Before you know it, you’ll be devouring proofs with relish. You’ll find out how a proof’s chain of logic works and discover some basic secrets for getting past rough spots. Soon, you’ll be proving triangles congruent, calculating circumferences, using formulas, and serving up pi. The non-proof parts of the book contain helpful formulas and tips that you can use anytime you need to shape up your knowledge of shapes. You’ll even get a feel for why geometry continues to draw people to careers in art, engineering, carpentry, robotics, physics, and computer animation, among others.You’ll discover how to: Identify lines, angles, and planes Measure segments and angles Calculate the area of a triangle Use tips and strategies to make proofs easier Figure the volume and surface area of a pyramid Bisect angles and construct perpendicular lines Work with 3-D shapes Work with figures in the x-y coordinate system So quit scratching your head. Geometry For Dummies, 2nd Edition, gets you un-stumped in a hurry.

Kiselev's Geometry

Author : Andreĭ Petrovich Kiselev
Publisher :
ISBN 13 :
Total Pages : 192 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Kiselev's Geometry by : Andreĭ Petrovich Kiselev

Download or read book Kiselev's Geometry written by Andreĭ Petrovich Kiselev and published by . This book was released on 2008 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume completes the English adaptation of a classical Russian textbook in elementary Euclidean geometry. The 1st volume subtitled "Book I. Planimetry" was published in 2006 (ISBN 0977985202). This 2nd volume (Book II. Stereometry) covers solid geometry, and contains a chapter on vectors, foundations, and introduction in non-Euclidean geometry added by the translator. The book intended for high-school and college students, and their teachers. Includes 317 exercises, index, and bibliography.

Elementary Geometry from an Advanced Standpoint

Author : Edwin E. Moise
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.

Humble Math - Area, Perimeter, Volume, & Surface Area

Author : Humble Math
Publisher :
ISBN 13 : 9781635783308
Total Pages : 106 pages
Book Rating : 4.7/5 (833 download)

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Book Synopsis Humble Math - Area, Perimeter, Volume, & Surface Area by : Humble Math

Download or read book Humble Math - Area, Perimeter, Volume, & Surface Area written by Humble Math and published by . This book was released on 2020-09-24 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lots of area, perimeter, volume, and surface area practice problems with an answer key. Area and perimeter problems can be completed by younger students. The book progresses to more advanced problems including volume, surface area, and multi-step challenge questions. A perfect workbook for those trying to learn geometry. This is a book that can grow with students as their skills develop.