Author : Henry Africk
Publisher : Unknown
Page : 369 pages
File Size : 48,8 Mb
Release : 2004
Category : Geometry
ISBN : 0759341907
Elementary College Geometry
Henry Africk
College Geometry
College Geometry Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of College Geometry book. This book definitely worth reading, it is an incredibly well-written.
College Geometry
Nathan Altshiller-Court
Author : Nathan Altshiller-Court
Publisher : Dover Publications
Page : 336 pages
File Size : 52,7 Mb
Release : 2013-12-30
Category : Electronic
ISBN : 0486788474
College Geometry by Nathan Altshiller-Court Pdf
The standard university-level text for decades, this volume offers exercises in construction problems, harmonic division, circle and triangle geometry, and other areas. 1952 edition, revised and enlarged by the author.
Geometry for College Students
I. Martin Isaacs
Author : I. Martin Isaacs
Publisher : American Mathematical Soc.
Page : 242 pages
File Size : 51,7 Mb
Release : 2009
Category : Mathematics
ISBN : 9780821847947
Geometry for College Students by I. Martin Isaacs Pdf
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.
College Geometry
David C. Kay
Author : David C. Kay
Publisher : CRC Press
Page : 655 pages
File Size : 54,6 Mb
Release : 2011-06-24
Category : Mathematics
ISBN : 9781439819111
College Geometry by David C. Kay Pdf
Designed for mathematics majors and other students who intend to teach mathematics at the secondary school level, College Geometry: A Unified Development unifies the three classical geometries within an axiomatic framework. The author develops the axioms to include Euclidean, elliptic, and hyperbolic geometry, showing how geometry has real and far-reaching implications. He approaches every topic as a fresh, new concept and carefully defines and explains geometric principles. The book begins with elementary ideas about points, lines, and distance, gradually introducing more advanced concepts such as congruent triangles and geometric inequalities. At the core of the text, the author simultaneously develops the classical formulas for spherical and hyperbolic geometry within the axiomatic framework. He explains how the trigonometry of the right triangle, including the Pythagorean theorem, is developed for classical non-Euclidean geometries. Previously accessible only to advanced or graduate students, this material is presented at an elementary level. The book also explores other important concepts of modern geometry, including affine transformations and circular inversion. Through clear explanations and numerous examples and problems, this text shows step-by-step how fundamental geometric ideas are connected to advanced geometry. It represents the first step toward future study of Riemannian geometry, Einstein’s relativity, and theories of cosmology.
College Geometry
Howard Whitley Eves,Howard Eves
Author : Howard Whitley Eves,Howard Eves
Publisher : Jones & Bartlett Learning
Page : 392 pages
File Size : 40,5 Mb
Release : 1995
Category : Computers
ISBN : 0867204753
College Geometry by Howard Whitley Eves,Howard Eves Pdf
College Geometry is divided into two parts. Part I is a sequel to basic high school geometry and introduces the reader to some of the important modern extensions of elementary geometry- extension that have largely entered into the mainstream of mathematics. Part II treats notions of geometric structure that arose with the non-Euclidean revolution in the first half of the nineteenth century.
College Geometry with GeoGebra
Barbara E. Reynolds,William E. Fenton
Author : Barbara E. Reynolds,William E. Fenton
Publisher : John Wiley & Sons
Page : 371 pages
File Size : 43,7 Mb
Release : 2021-01-20
Category : Education
ISBN : 9781119718116
College Geometry with GeoGebra by Barbara E. Reynolds,William E. Fenton Pdf
From two authors who embrace technology in the classroom and value the role of collaborative learning comes College Geometry Using GeoGebra, a book that is ideal for geometry courses for both mathematics and math education majors. The book's discovery-based approach guides students to explore geometric worlds through computer-based activities, enabling students to make observations, develop conjectures, and write mathematical proofs. This unique textbook helps students understand the underlying concepts of geometry while learning to use GeoGebra software—constructing various geometric figures and investigating their properties, relationships, and interactions. The text allows students to gradually build upon their knowledge as they move from fundamental concepts of circle and triangle geometry to more advanced topics such as isometries and matrices, symmetry in the plane, and hyperbolic and projective geometry. Emphasizing active collaborative learning, the text contains numerous fully-integrated computer lab activities that visualize difficult geometric concepts and facilitate both small-group and whole-class discussions. Each chapter begins with engaging activities that draw students into the subject matter, followed by detailed discussions that solidify the student conjectures made in the activities and exercises that test comprehension of the material. Written to support students and instructors in active-learning classrooms that incorporate computer technology, College Geometry with GeoGebra is an ideal resource for geometry courses for both mathematics and math education majors.
Advanced Euclidean Geometry
Roger A. Johnson
Author : Roger A. Johnson
Publisher : Courier Corporation
Page : 338 pages
File Size : 46,6 Mb
Release : 2013-01-08
Category : Mathematics
ISBN : 9780486154985
Advanced Euclidean Geometry by Roger A. Johnson Pdf
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.
College Geometry
Nathan Altshiller-Court
Author : Nathan Altshiller-Court
Publisher : Courier Corporation
Page : 338 pages
File Size : 46,7 Mb
Release : 2012-06-29
Category : Mathematics
ISBN : 9780486141374
College Geometry by Nathan Altshiller-Court Pdf
The standard university-level text for decades, this volume offers exercises in construction problems, harmonic division, circle and triangle geometry, and other areas. 1952 edition, revised and enlarged by the author.
College Geometry
David C Kay
Author : David C Kay
Publisher : Pearson Education (Us)
Page : 660 pages
File Size : 41,9 Mb
Release : 2015-10-08
Category : Electronic
ISBN : 0321724992
College Geometry by David C Kay Pdf
College Geometry is an approachable text, covering both Euclidean and Non-Euclidean geometry. This text is directed at the one semester course at the college level, for both pure mathematics majors and prospective teachers. A primary focus is on student participation, which is promoted in two ways: (1) Each section of the book contains one or two units, called Moments for Discovery, that use drawing, computational, or reasoning experiments to guide students to an often surprising conclusion related to section concepts; and (2) More than 650 problems were carefully designed to maintain student interest.
Geometry with an Introduction to Cosmic Topology
Michael P. Hitchman
Author : Michael P. Hitchman
Publisher : Jones & Bartlett Learning
Page : 255 pages
File Size : 49,8 Mb
Release : 2009
Category : Mathematics
ISBN : 9780763754570
Geometry with an Introduction to Cosmic Topology by Michael P. Hitchman Pdf
The content of Geometry with an Introduction to Cosmic Topology is motivated by questions that have ignited the imagination of stargazers since antiquity. What is the shape of the universe? Does the universe have and edge? Is it infinitely big? Dr. Hitchman aims to clarify this fascinating area of mathematics. This non-Euclidean geometry text is organized intothree natural parts. Chapter 1 provides an overview including a brief history of Geometry, Surfaces, and reasons to study Non-Euclidean Geometry. Chapters 2-7 contain the core mathematical content of the text, following the ErlangenProgram, which develops geometry in terms of a space and a group of transformations on that space. Finally chapters 1 and 8 introduce (chapter 1) and explore (chapter 8) the topic of cosmic topology through the geometry learned in the preceding chapters.
The Four Pillars of Geometry
John Stillwell
Author : John Stillwell
Publisher : Springer Science & Business Media
Page : 240 pages
File Size : 48,8 Mb
Release : 2005-08-09
Category : Mathematics
ISBN : 9780387255309
The Four Pillars of Geometry by John Stillwell Pdf
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
The Teaching of Geometry at the Pre-College Level
Hans-Georg Steiner,NA Central Midwestern Regional Educational Laboratory,NA Comprehensive School Mathematics Programme,NA Southern Illinois University (System)
Author : Hans-Georg Steiner,NA Central Midwestern Regional Educational Laboratory,NA Comprehensive School Mathematics Programme,NA Southern Illinois University (System)
Publisher : Springer
Page : 395 pages
File Size : 46,5 Mb
Release : 2013-11-11
Category : Mathematics
ISBN : 9789401758963
The Teaching of Geometry at the Pre-College Level by Hans-Georg Steiner,NA Central Midwestern Regional Educational Laboratory,NA Comprehensive School Mathematics Programme,NA Southern Illinois University (System) Pdf
Elementary Geometry for College Students
Daniel C. Alexander,Geralyn M. Koeberlein
Author : Daniel C. Alexander,Geralyn M. Koeberlein
Publisher : Unknown
Page : 566 pages
File Size : 51,6 Mb
Release : 1999
Category : Mathematics
ISBN : 0395870550
Elementary Geometry for College Students by Daniel C. Alexander,Geralyn M. Koeberlein Pdf
Axiomatic Geometry
John M. Lee
Author : John M. Lee
Publisher : American Mathematical Soc.
Page : 490 pages
File Size : 45,5 Mb
Release : 2013-04-10
Category : Mathematics
ISBN : 9780821884782
Axiomatic Geometry by John M. Lee Pdf
The story of geometry is the story of mathematics itself: Euclidean geometry was the first branch of mathematics to be systematically studied and placed on a firm logical foundation, and it is the prototype for the axiomatic method that lies at the foundation of modern mathematics. It has been taught to students for more than two millennia as a mode of logical thought. This book tells the story of how the axiomatic method has progressed from Euclid's time to ours, as a way of understanding what mathematics is, how we read and evaluate mathematical arguments, and why mathematics has achieved the level of certainty it has. It is designed primarily for advanced undergraduates who plan to teach secondary school geometry, but it should also provide something of interest to anyone who wishes to understand geometry and the axiomatic method better. It introduces a modern, rigorous, axiomatic treatment of Euclidean and (to a lesser extent) non-Euclidean geometries, offering students ample opportunities to practice reading and writing proofs while at the same time developing most of the concrete geometric relationships that secondary teachers will need to know in the classroom. -- P. [4] of cover.
A Vector Space Approach to Geometry
Melvin Hausner
Author : Melvin Hausner
Publisher : Courier Dover Publications
Page : 417 pages
File Size : 44,6 Mb
Release : 2018-10-17
Category : Mathematics
ISBN : 9780486835396
A Vector Space Approach to Geometry by Melvin Hausner Pdf
A fascinating exploration of the correlation between geometry and linear algebra, this text portrays the former as a subject better understood by the use and development of the latter rather than as an independent field. The treatment offers elementary explanations of the role of geometry in other branches of math and science — including physics, analysis, and group theory — as well as its value in understanding probability, determinant theory, and function spaces. Outstanding features of this volume include discussions of systematic geometric motivations in vector space theory and matrix theory; the use of the center of mass in geometry, with an introduction to barycentric coordinates; axiomatic development of determinants in a chapter dealing with area and volume; and a careful consideration of the particle problem. Students and other mathematically inclined readers will find that this inquiry into the interplay between geometry and other areas offers an enriched appreciation of both subjects.