College Geometry

An Introduction to the Modern Geometry of the Triangle and the Circle

Author: Nathan Altshiller-Court

Publisher: Courier Corporation

ISBN: 0486141373

Category: Mathematics

Page: 336

View: 2511

DOWNLOAD NOW »
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

Author: Howard Whitley Eves

Publisher: Jones & Bartlett Learning

ISBN: 9780867204759

Category: Mathematics

Page: 370

View: 4087

DOWNLOAD NOW »
Mathematics

College Geometry

A Unified Development

Author: David C. Kay

Publisher: CRC Press

ISBN: 1439819114

Category: Mathematics

Page: 652

View: 3584

DOWNLOAD NOW »
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: Using the Geometer's Sketchpad, 1st Edition

Using the Geometer's Sketchpad

Author: Barbara E. Reynolds,William E. Fenton

Publisher: Wiley Global Education

ISBN: 1118213408

Category: Mathematics

Page: 380

View: 7316

DOWNLOAD NOW »
From two authors who embrace technology in the classroom and value the role of collaborative learning comes College Geometry Using The Geometer's Sketchpad, a book that is ideal for geometry courses for both mathematics and math education majors. The book's truly discovery-based approach guides students to learn geometry through explorations of topics ranging from triangles and circles to transformational, taxicab, and hyperbolic geometries. In the process, students hone their understanding of geometry and their ability to write rigorous mathematical proofs.

Geometry for College Students

Author: I. Martin Isaacs

Publisher: American Mathematical Soc.

ISBN: 9780821847947

Category: Mathematics

Page: 222

View: 1650

DOWNLOAD NOW »
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.

Fundamentals of college geometry

Author: Edwin M. Hemmerling

Publisher: John Wiley & Sons Inc

ISBN: N.A

Category: Mathematics

Page: 464

View: 6419

DOWNLOAD NOW »
Encompasses modern reforms in content and concepts in presenting the basic structure of geometry along with deductive and inductive reasoning

Elementary Geometry for College Students

Author: Daniel C. Alexander,Geralyn M. Koeberlein

Publisher: Cengage Learning

ISBN: 1285965906

Category: Mathematics

Page: 624

View: 5101

DOWNLOAD NOW »
Building on the success of its first five editions, the Sixth Edition of the market-leading text explores the important principles and real-world applications of plane, coordinate, and solid geometry. Strongly influenced by both NCTM and AMATYC standards, the text includes intuitive, inductive, and deductive experiences in its explorations. Goals of the authors for the students include a comprehensive development of the vocabulary of geometry, an intuitive and inductive approach to development of principles, and the strengthening of deductive skills that leads to both verification of geometric theories and the solution of geometry-based real world applications. Updates in this edition include the addition of 150 new problems, new applications, new Discover! activities and examples and additional material on select topics such as parabolas and a Three-Dimensional Coordinate System. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Advanced Euclidean Geometry

Author: Roger A. Johnson

Publisher: Courier Corporation

ISBN: 048615498X

Category: Mathematics

Page: 336

View: 8639

DOWNLOAD NOW »
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, A Problem Solving Approach with Applications

Author: CTI Reviews

Publisher: Cram101 Textbook Reviews

ISBN: 149025191X

Category: Education

Page: 70

View: 303

DOWNLOAD NOW »
Facts101 is your complete guide to College Geometry, A Problem Solving Approach with Applications. In this book, you will learn topics such as Perimeter, Area, and Volume, Reasoning and Triangle Congruence, Parallel Lines and Quadrilaterals, and Similarity plus much more. With key features such as key terms, people and places, Facts101 gives you all the information you need to prepare for your next exam. Our practice tests are specific to the textbook and we have designed tools to make the most of your limited study time.

College Geometry

A Problem Solving Approach with Applications, Books a la Carte Edition

Author: Gary L. Musser,Lynn Trimpe,Vikki R. Maurer

Publisher: Addison-Wesley Longman

ISBN: 9780321656773

Category: Mathematics

Page: 638

View: 1481

DOWNLOAD NOW »

College Geometry

A Discovery Approach with the Geometer's Sketchpad(r)

Author: David C Kay

Publisher: Pearson Education (Us)

ISBN: 9780321724991

Category:

Page: 660

View: 8749

DOWNLOAD NOW »
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.

College Geometry, A Unified Development

Mathematics, Geometry

Author: CTI Reviews

Publisher: Cram101 Textbook Reviews

ISBN: 1478450452

Category: Education

Page: 20

View: 5666

DOWNLOAD NOW »
Facts101 is your complete guide to College Geometry, A Unified Development. In this book, you will learn topics such as as those in your book plus much more. With key features such as key terms, people and places, Facts101 gives you all the information you need to prepare for your next exam. Our practice tests are specific to the textbook and we have designed tools to make the most of your limited study time.

Basic Geometry for College Students

An Overview of the Fundamental Concepts of Geometry

Author: Alan S. Tussy,R. David Gustafson

Publisher: Brooks/Cole Publishing Company

ISBN: 9780534391805

Category: Mathematics

Page: 160

View: 9154

DOWNLOAD NOW »
Intended to address the need for a concise overview of fundamental geometry topics. Sections 1-7 introduce such topics as angles, polygons, perimeter, area, and circles. In the second part of the text, Sections 8-11 cover congruent and similar triangles, special triangles, volume, and surface area.

College Geometry Using The Geometers Sketchpad

Author: CTI Reviews

Publisher: Cram101 Textbook Reviews

ISBN: 1467283584

Category: Education

Page: 66

View: 2540

DOWNLOAD NOW »
Facts101 is your complete guide to College Geometry Using The Geometers Sketchpad. In this book, you will learn topics such as as those in your book plus much more. With key features such as key terms, people and places, Facts101 gives you all the information you need to prepare for your next exam. Our practice tests are specific to the textbook and we have designed tools to make the most of your limited study time.

Geometry: A Comprehensive Course

Author: Dan Pedoe

Publisher: Courier Corporation

ISBN: 0486131734

Category: Mathematics

Page: 464

View: 380

DOWNLOAD NOW »
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.

Fundamentals of Modern Geometry for College Students

Author: Honore P Mavinga

Publisher: Xulon Press

ISBN: 9781625093127

Category: Mathematics

Page: 206

View: 4002

DOWNLOAD NOW »
This text presents the essential of affine, Euclidean, projective and hyperbolic geometries in a transformational perspective as inaugurated by F. Klein. It originated from the author's 2-volume textbook in French 'Geometrie Affine et Projective' Editions Ceda, Abidjan. It can be used as a one semester Modern Geometry course for second year college math students, especially those who are prospective high school mathematics teachers. The text starts with a concise historical development of geometry from the times of Thales and Euclid to the 20th century, highlighting significant discoveries in Geometry. Honore P. Mavinga is a Professor of Mathematics. He is a native of the Democratic Republic of the Congo. He received his Master's and Doctoral degree at the Universite Catholique de Louvain in Belgium and an extended study diploma from the Universite de Paris 5. Following his studies in Europe, he received a postdoctoral fellowship grant from the US state department for a semester at Princeton. He returned to Africa where he taught at Universite de Kinshasa (Congo) then at Universite d'Abidjan (Cote d' Ivoire). During that time he served as one of the 12 members of the board committee of the African Mathematical Union which held its initial Pan African Convention in Rabat (Morocco) in 1976. He also taught as visiting associate at the University of the South Sewanee Tennessee for one year and the next year at Cuttington College (Liberia). In 1989 he moved with his family to the USA where he taught at University of Wisconsin-Eau Claire, WI and more recently at Liberty University in Virginia. Honore Mavinga confessed Christ publicly during the campaign 'Explo '84' sponsored by the Campus Crusade for Christ in Abidjan. He also enjoys cooking and singing.