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A High School First Course In Euclidean Plane Geometry
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Book Synopsis A High School First Course in Euclidean Plane Geometry by : Charles H. Aboughantous
Download or read book A High School First Course in Euclidean Plane Geometry written by Charles H. Aboughantous and published by Universal-Publishers. This book was released on 2010-10 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Euclidean Geometry by : Mark Solomonovich
Download or read book Euclidean Geometry written by Mark Solomonovich and published by iUniverse. This book was released on 2010 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is a self-contained presentation of Euclidean Geometry, a subject that has been a core part of school curriculum for centuries. The discussion is rigorous, axiom-based, written in a traditional manner, true to the Euclidean spirit. Transformations in the Euclidean plane are included as part of the axiomatics and as a tool for solving construction problems. The textbook can be used for teaching a high school or an introductory level college course. It can be especially recommended for schools with enriched mathematical programs and for homeschoolers looking for a rigorous traditional discussion of geometry. The text is supplied with over 1200 questions and problems, ranging from simple to challenging. The solutions sections of the book contain about 200 answers and hints to solutions and over 100 detailed solutions involving proofs and constructions. More solutions and some supplements for teachers are available in the Instructor's Manual, which is issued as a separate book. Book Reviews: 'In terms of presentation, this text is more rigorous than any existing high school textbook that I know of. It is based on a system of axioms that describe incidence, postulate a notion of congruence of line segments, and assume the existence of enough rigid motions ("free mobility")... My gut reaction to the book is, wouldn't it be wonderful if American high school students could be exposed to this serious mathematical treatment of elementary geometry, instead of all the junk that is presented to them in existing textbooks. This book makes no concession to the TV-generation of students who want (or is it the publishers who want it for them?) pretty pictures, side bars, puzzles, games, historical references, cartoons, and all those colored images that clutter the pages of a typical modern textbook, while the mathematical content is diluted more and more with each successive edition.' Professor Robin Hartshorne, University of California at Berkeley. 'The textbook "Euclidean Geometry" by Mark Solomonovich fills a big gap in the plethora of mathematical textbooks - it provides an exposition of classical geometry with emphasis on logic and rigorous proofs... I would be delighted to see this textbook used in Canadian schools in the framework of an improved geometry curriculum. Until this day comes, I highly recommend "Euclidean Geometry" by Mark Solomonovich to be used in Mathematics Enrichment Programs across Canada and the USA.' Professor Yuly Billig, Carlton University.
Download or read book Geometry written by Serge Lang and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: At last: geometry in an exemplary, accessible and attractive form! The authors emphasise both the intellectually stimulating parts of geometry and routine arguments or computations in concrete or classical cases, as well as practical and physical applications. They also show students the fundamental concepts and the difference between important results and minor technical routines. Altogether, the text presents a coherent high school curriculum for the geometry course, naturally backed by numerous examples and exercises.
Book Synopsis A First Course in Geometry by : Edward T Walsh
Download or read book A First Course in Geometry written by Edward T Walsh and published by Courier Corporation. This book was released on 2014-08-04 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Suitable for college courses, this introductory text covers the language of mathematics, geometric sets of points, separation and angles, triangles, parallel lines, similarity, polygons and area, circles, and space and coordinate geometry. 1974 edition.
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
Book Synopsis Geometry: A Comprehensive Course by : Dan Pedoe
Download or read book Geometry: A Comprehensive Course written by Dan Pedoe and published by Courier Corporation. This book was released on 2013-04-02 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to vector algebra in the plane; circles and coaxial systems; mappings of the Euclidean plane; similitudes, isometries, Moebius transformations, much more. Includes over 500 exercises.
Book Synopsis Geometry: Euclid and Beyond by : Robin Hartshorne
Download or read book Geometry: Euclid and Beyond written by Robin Hartshorne and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 535 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a unique opportunity to understand the essence of one of the great thinkers of western civilization. A guided reading of Euclid's Elements leads to a critical discussion and rigorous modern treatment of Euclid's geometry and its more recent descendants, with complete proofs. Topics include the introduction of coordinates, the theory of area, history of the parallel postulate, the various non-Euclidean geometries, and the regular and semi-regular polyhedra.
Book Synopsis Advanced Euclidean Geometry by : Roger A. Johnson
Download or read book Advanced Euclidean Geometry written by Roger A. Johnson and published by Courier Corporation. This book was released on 2013-01-08 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic text explores the geometry of the triangle and the circle, concentrating on extensions of Euclidean theory, and examining in detail many relatively recent theorems. 1929 edition.
Book Synopsis Euclidean Plane and Its Relatives by : Anton Petrunin
Download or read book Euclidean Plane and Its Relatives written by Anton Petrunin and published by . This book was released on 2016-09-13 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book grew from my lecture notes. It is designed for a semester-long course in Foundations of Geometry and meant to be rigorous, conservative, elementary and minimalistic.
Download or read book Geometry written by S. Lang and published by Springer. This book was released on 2013-03-14 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: A geometry course based on this book was taught success fully by Gene Murrow for several years. We are much indebted to Springer-Verlag for publishing Geometry, so that others can try our approach. The publishers and we thought it would be appropriate to issue the book first in a preliml. nary edition, on which we would welcome comments, especially from students and teachers of the high school geometry course. Such comments can bear on any aspect of Geometry, ranging from the choice of topics, the ordering of the topics, and other global considerations, to possible computational errors and misprints. We shall welcome criticisms and suggestions. Serge Lang Gene Murrow Contents Theorems Proved in Geometry xi xvii Introduction CHAPTER 1 -Distance and Angles 51. Lines 1 52. Distance 12 53. Angles 20 54. Proofs 43 55. Right Angles and Perpendicularity 52 86. The Angles of a Triangle 65 CHAPTER 2 - Coordinates 51. Coordinate Systems 85 52. Distance between Points on a Line 94 53. Equation of a Line 96 CHAPTER 3 - Area and the Pythagoras Theorem 51. The Area of a Triangle 107 S2. The Pythagoras Theorem 125 viii CONTENTS CHAPTER 4 - The Distance Formula Sl. Distance between Arbitrary Points 142 S2. Higher Dimensional Space 148 S3. Equation of a Circle 155 CHAPTER 5 - Some Applications of Right Triangles S1. Perpendicular Bisector 162 S2. Isosceles and Equilateral Triangles 175 S3. Theorems About Circles 190 CHAPTER 6 - Polygons S1.
Book Synopsis Plain Plane Geometry by : Amol Sasane
Download or read book Plain Plane Geometry written by Amol Sasane and published by World Scientific Publishing Company. This book was released on 2015-12-07 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Plain Plane Geometry by : Amol Sasane
Download or read book Plain Plane Geometry written by Amol Sasane and published by World Scientific Publishing Company. This book was released on 2015-12-07 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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.
Book Synopsis The Foundations of Geometry and the Non-Euclidean Plane by : G.E. Martin
Download or read book The Foundations of Geometry and the Non-Euclidean Plane written by G.E. Martin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 525 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a text for junior, senior, or first-year graduate courses traditionally titled Foundations of Geometry and/or Non Euclidean Geometry. The first 29 chapters are for a semester or year course on the foundations of geometry. The remaining chap ters may then be used for either a regular course or independent study courses. Another possibility, which is also especially suited for in-service teachers of high school geometry, is to survey the the fundamentals of absolute geometry (Chapters 1 -20) very quickly and begin earnest study with the theory of parallels and isometries (Chapters 21 -30). The text is self-contained, except that the elementary calculus is assumed for some parts of the material on advanced hyperbolic geometry (Chapters 31 -34). There are over 650 exercises, 30 of which are 10-part true-or-false questions. A rigorous ruler-and-protractor axiomatic development of the Euclidean and hyperbolic planes, including the classification of the isometries of these planes, is balanced by the discussion about this development. Models, such as Taxicab Geometry, are used exten sively to illustrate theory. Historical aspects and alternatives to the selected axioms are prominent. The classical axiom systems of Euclid and Hilbert are discussed, as are axiom systems for three and four-dimensional absolute geometry and Pieri's system based on rigid motions. The text is divided into three parts. The Introduction (Chapters 1 -4) is to be read as quickly as possible and then used for ref erence if necessary.
Book Synopsis An Excursion through Elementary Mathematics, Volume II by : Antonio Caminha Muniz Neto
Download or read book An Excursion through Elementary Mathematics, Volume II written by Antonio Caminha Muniz Neto and published by Springer. This book was released on 2018-04-16 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive, in-depth overview of elementary mathematics as explored in Mathematical Olympiads around the world. It expands on topics usually encountered in high school and could even be used as preparation for a first-semester undergraduate course. This second volume covers Plane Geometry, Trigonometry, Space Geometry, Vectors in the Plane, Solids and much more. As part of a collection, the book differs from other publications in this field by not being a mere selection of questions or a set of tips and tricks that applies to specific problems. It starts from the most basic theoretical principles, without being either too general or too axiomatic. Examples and problems are discussed only if they are helpful as applications of the theory. Propositions are proved in detail and subsequently applied to Olympic problems or to other problems at the Olympic level. The book also explores some of the hardest problems presented at National and International Mathematics Olympiads, as well as many essential theorems related to the content. An extensive Appendix offering hints on or full solutions for all difficult problems rounds out the book.
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.
Book Synopsis Euclidean and Non-Euclidean Geometry International Student Edition by : Patrick J. Ryan
Download or read book Euclidean and Non-Euclidean Geometry International Student Edition written by Patrick J. Ryan and published by Cambridge University Press. This book was released on 2009-09-04 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a rigorous treatment of the fundamentals of plane geometry: Euclidean, spherical, elliptical and hyperbolic.
