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: 9203

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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

A Unified Development

Author: David C. Kay

Publisher: CRC Press

ISBN: 1439895228

Category: Mathematics

Page: 652

View: 7334

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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

Author: Howard Whitley Eves,Howard Eves

Publisher: Jones & Bartlett Learning

ISBN: 9780867204759

Category: Mathematics

Page: 370

View: 3064

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Mathematics

College Geometry, A Problem Solving Approach with Applications

Author: CTI Reviews

Publisher: Cram101 Textbook Reviews

ISBN: 149025191X

Category: Education

Page: 70

View: 7756

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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 Discovery Approach

Author: David Kay

Publisher: Pearson Higher Ed

ISBN: 0321830954

Category: Mathematics

Page: 400

View: 9310

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This is the eBook of the printed book and may not include any media, website access codes, or print supplements that may come packaged with the bound book. 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

Using the Geometer's Sketchpad

Author: Barbara E. Reynolds,William E. Fenton

Publisher: Wiley

ISBN: 9780470534939

Category: Mathematics

Page: 380

View: 4610

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From two authors who embrace technology in the classroom and value the role of collaborative learning comes College Geometry Using The Geometer’s Sketchpad. The book's truly discovery-based approach guides readers to learn geometry through explorations of topics ranging from triangles and circles to transformational, taxicab, and hyperbolic geometries. In the process, readers hone their understanding of geometry and their ability to write rigorous mathematical proofs.

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: 1653

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College Geometry, A Unified Development

Mathematics, Geometry

Author: CTI Reviews

Publisher: Cram101 Textbook Reviews

ISBN: 1478450452

Category: Education

Page: 20

View: 8813

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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.

College Geometry Using The Geometers Sketchpad

Author: CTI Reviews

Publisher: Cram101 Textbook Reviews

ISBN: 1467283584

Category: Education

Page: 66

View: 8321

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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.

College Geometry

A New Paradigm : (a Rigorous Exploratory Approach Using Technology)

Author: Subhash Chandra Saxena

Publisher: N.A

ISBN: 9780615323800

Category: Geometry

Page: 415

View: 2174

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Geometry for College Students

Author: I. Martin Isaacs

Publisher: American Mathematical Soc.

ISBN: 9780821847947

Category: Mathematics

Page: 222

View: 6475

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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: 2741

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

College Geometry Using the Geometer's Sketchpad

Author: Barbara E. Reynolds,William E. Fenton

Publisher: Key College Pub

ISBN: 9781931914543

Category: Mathematics

Page: 300

View: 2736

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From two authors who embrace technology and value the role of collaborative learning comes College Geometry Using The Geometer's Sketchpad. The book's truly discovery-based approach guides readers to learn geometry through explorations of topics ranging from triangles and circles to transformational, taxicab, and hyperbolic geometries. In the process, readers hone their understanding of geometry and their ability to write rigorous mathematical proofs. Each copy of the book comes with a CD-ROM containing Sketchpad documents that relate directly to the material in the text. These multi-page documents help readers launch into the book's activities and provide dynamic, interactive versions of all figures in the text. Readers will need access to the Sketchpad(TM) program.