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Author : Henry Africk
Publisher :
ISBN 13 : 9780759341906
Total Pages : 369 pages
Book Rating : 4.3/5 (419 download)
Download or read book Elementary College Geometry written by Henry Africk and published by . This book was released on 2004 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ilka Agricola
Publisher : American Mathematical Soc.
ISBN 13 : 0821843478
Total Pages : 257 pages
Book Rating : 4.8/5 (218 download)
Download or read book Elementary Geometry written by Ilka Agricola and published by American Mathematical Soc.. This book was released on 2008 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: Plane geometry is developed from its basic objects and their properties and then moves to conics and basic solids, including the Platonic solids and a proof of Euler's polytope formula. Particular care is taken to explain symmetry groups, including the description of ornaments and the classification of isometries.
Author : Amol Sasane
Publisher : World Scientific Publishing Company
ISBN 13 : 9789814740432
Total Pages : 269 pages
Book Rating : 4.7/5 (44 download)
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.
Author : C. G. Gibson
Publisher : Cambridge University Press
ISBN 13 : 9780521834483
Total Pages : 194 pages
Book Rating : 4.8/5 (344 download)
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.
Author : Klaus Hulek
Publisher : American Mathematical Soc.
ISBN 13 : 0821829521
Total Pages : 225 pages
Book Rating : 4.8/5 (218 download)
Download or read book Elementary Algebraic Geometry written by Klaus Hulek and published by American Mathematical Soc.. This book was released on 2003 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a true introduction to the basic concepts and techniques of algebraic geometry. The language is purposefully kept on an elementary level, avoiding sheaf theory and cohomology theory. The introduction of new algebraic concepts is always motivated by a discussion of the corresponding geometric ideas. The main point of the book is to illustrate the interplay between abstract theory and specific examples. The book contains numerous problems that illustrate the general theory. The text is suitable for advanced undergraduates and beginning graduate students. It contains sufficient material for a one-semester course. The reader should be familiar with the basic concepts of modern algebra. A course in one complex variable would be helpful, but is not necessary.
Author : George David Birkhoff
Publisher : American Mathematical Soc.
ISBN 13 : 0821826921
Total Pages : 164 pages
Book Rating : 4.8/5 (218 download)
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
Author : Daniel C. Alexander
Publisher :
ISBN 13 : 9780395870556
Total Pages : 566 pages
Book Rating : 4.8/5 (75 download)
Download or read book Elementary Geometry for College Students written by Daniel C. Alexander and published by . This book was released on 1999 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Dan Pedoe
Publisher : Courier Corporation
ISBN 13 : 0486131734
Total Pages : 466 pages
Book Rating : 4.4/5 (861 download)
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.
Author : Andreĭ Petrovich Kiselev
Publisher :
ISBN 13 :
Total Pages : 192 pages
Book Rating : 4.:/5 (318 download)
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.
Author : Richard Wormell
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (447 download)
Download or read book An Elementary Course of Plane Geometry written by Richard Wormell and published by . This book was released on 1869 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Harvey I. Blau
Publisher :
ISBN 13 : 9780130479549
Total Pages : 0 pages
Book Rating : 4.4/5 (795 download)
Download or read book Foundations of Plane Geometry written by Harvey I. Blau and published by . This book was released on 2003 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ideal for users who may have little previous experience with abstraction and proof, this book provides a rigorous and unified--yet straightforward and accessible --exposition of the foundations of Euclidean, hyperbolic, and spherical geometry. Unique in approach, it combines an extended theme--the study of a generalized absolute plane from axioms through classification into the three fundamental classical planes--with a leisurely development that allows ample time for mathematical growth. It is purposefully structured to facilitate the development of analytic and reasoning skills and to promote an awareness of the depth, power, and subtlety of the axiomatic method in general, and of Euclidean and non-Euclidean plane geometry in particular. Focus on one main topic--The axiomatic development of the absolute plane--which is pursued through a classification into Euclidean, hyperbolic, and spherical planes. Presents specific models such as the sphere, the Klein-Betrami hyperbolic model, and the "gap" plane. Gradually presents axioms for absolute plane geometry.
Author : Ronald N. Umble
Publisher : CRC Press
ISBN 13 : 1482234718
Total Pages : 239 pages
Book Rating : 4.4/5 (822 download)
Download or read book Transformational Plane Geometry written by Ronald N. Umble and published by CRC Press. This book was released on 2014-12-01 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Charles H. Aboughantous
Publisher : Universal-Publishers
ISBN 13 : 1599428229
Total Pages : 166 pages
Book Rating : 4.5/5 (994 download)
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.
Author : Gilbert de B. Robinson
Publisher : Courier Corporation
ISBN 13 : 0486321045
Total Pages : 194 pages
Book Rating : 4.4/5 (863 download)
Download or read book Vector Geometry written by Gilbert de B. Robinson and published by Courier Corporation. This book was released on 2013-10-10 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concise undergraduate-level text by a prominent mathematician explores the relationship between algebra and geometry. An elementary course in plane geometry is the sole requirement. Includes answers to exercises. 1962 edition.
Author : Jacques Hadamard
Publisher : American Mathematical Society(RI)
ISBN 13 : 9780821843673
Total Pages : 0 pages
Book Rating : 4.8/5 (436 download)
Download or read book Lessons in Geometry: Plane geometry written by Jacques Hadamard and published by American Mathematical Society(RI). This book was released on 2008 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The TI-Nspire documents demonstrate connections among problems and - through the free trial software included on the CD - will allow the reader to explore and interact with Hadamard's Geometry in new ways.The material also includes introductions to several advanced topics. The exposition is spare, giving only the minimal background needed for a student to explore these topics. Much of the value of the book lies in the problems, whose solutions open worlds to the engaged reader. And so this book is in the Socratic tradition, as well as the Euclidean, in that it demands of the reader both engagement and interaction. A forthcoming companion volume that includes solutions, extensions, and classroom activities related to the problems can only begin to open the treasures offered by this work.
Author : I. Martin Isaacs
Publisher : American Mathematical Soc.
ISBN 13 : 0821847945
Total Pages : 242 pages
Book Rating : 4.8/5 (218 download)
Download or read book Geometry for College Students written by I. Martin Isaacs and published by American Mathematical Soc.. This book was released on 2009 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the challenges many mathematics students face occurs after they complete their study of basic calculus and linear algebra, and they start taking courses where they are expected to write proofs. Historically, students have been learning to think mathematically and to write proofs by studying Euclidean geometry. In the author's opinion, geometry is still the best way to make the transition from elementary to advanced mathematics. The book begins with a thorough review of high school geometry, then goes on to discuss special points associated with triangles, circles and certain associated lines, Ceva's theorem, vector techniques of proof, and compass-and-straightedge constructions. There is also some emphasis on proving numerical formulas like the laws of sines, cosines, and tangents, Stewart's theorem, Ptolemy's theorem, and the area formula of Heron. An important difference of this book from the majority of modern college geometry texts is that it avoids axiomatics. The students using this book have had very little experience with formal mathematics. Instead, the focus of the course and the book is on interesting theorems and on the techniques that can be used to prove them. This makes the book suitable to second- or third-year mathematics majors and also to secondary mathematics education majors, allowing the students to learn how to write proofs of mathematical results and, at the end, showing them what mathematics is really all about.
Author : Dmitri Burago
Publisher : American Mathematical Soc.
ISBN 13 : 0821821296
Total Pages : 434 pages
Book Rating : 4.8/5 (218 download)
Download or read book A Course in Metric Geometry written by Dmitri Burago and published by American Mathematical Soc.. This book was released on 2001 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Metric geometry" is an approach to geometry based on the notion of length on a topological space. This approach experienced a very fast development in the last few decades and penetrated into many other mathematical disciplines, such as group theory, dynamical systems, and partial differential equations. The objective of this graduate textbook is twofold: to give a detailed exposition of basic notions and techniques used in the theory of length spaces, and, more generally, to offer an elementary introduction into a broad variety of geometrical topics related to the notion of distance, including Riemannian and Carnot-Caratheodory metrics, the hyperbolic plane, distance-volume inequalities, asymptotic geometry (large scale, coarse), Gromov hyperbolic spaces, convergence of metric spaces, and Alexandrov spaces (non-positively and non-negatively curved spaces).
