Elementary Geometry for College Students

Author: Daniel C. Alexander,Geralyn M. Koeberlein

Publisher: Cengage Learning

ISBN: 1285965906

Category: Mathematics

Page: 624

View: 9849

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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.
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Elementary Geometry for College Students

Author: Daniel C. Alexander,Geralyn M. Koeberlein

Publisher: Cengage Learning

ISBN: 1439047901

Category: Mathematics

Page: 624

View: 1768

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Building on the success of its first four editions, the Fifth Edition of this market-leading text covers the important principles and real-world applications of plane geometry, with a new chapter on locus and concurrence and by adding 150-200 new problems including 90 designed to be more rigorous. Strongly influenced by both NCTM and AMATYC standards, the text takes an inductive approach that includes integrated activities and tools to promote hands-on application and discovery. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
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Elementary Geometry for College Students

Author: Alexander,Daniel C. Alexander,Geralyn M. Koeberlein

Publisher: Houghton Mifflin College Division

ISBN: 9780618221769

Category: Mathematics

Page: 502

View: 2489

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The Third Edition of "Elementary Geometry for College Students" covers the important principles and real-world applications of plane geometry with additional chapters on solid geometry, analytic geometry, and trigonometry. The text' s largely visual approach, strongly influenced by both NCTM and AMATYC standards, begins with the presentation of a concept followed by the examination and development of a theory, verification of the theory through deduction, and finally, application of the principles to the real world.Videotapes, professionally produced for this text and hosted by Dana Mosely, offer a valuable resource for further instruction and review."Reminder" marginal notes reinforce theorems or formulas from previous chapters to help students progress through the course.Enhanced Chapter Openers introduce students to the principle notion of the chapter and provide real-world context.
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Geometry for College Students

Author: I. Martin Isaacs

Publisher: American Mathematical Soc.

ISBN: 9780821847947

Category: Mathematics

Page: 222

View: 6733

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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.
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Understanding Elementary Algebra with Geometry

A Course for College Students

Author: Lewis Hirsch,Arthur Goodman

Publisher: Thomson Brooks/Cole

ISBN: 9780534381240

Category: Algebra

Page: 667

View: 1304

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Helping students grasp the why of algebra through patient explanations, Hirsch and Goodman gradually build students' confidence without sacrificing rigor. To help students move beyond the how of algebra (computational proficiency) to the why (conceptual understanding), the authors introduce topics at an elementary level and return to them at increasing levels of complexity. Their gradual introduction of concepts, rules, and definitions through a wealth of illustrative examples-both numerical and algebraic-helps students compare and contrast related ideas and understand the sometimes-subtle distinctions among a wide variety of situations. This author team carefully prepares students to succeed in higher level mathematics.
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Understanding Elementary Algebra with Geometry: A Course for College Students

Author: Lewis Hirsch,Arthur Goodman

Publisher: Cengage Learning

ISBN: 0534999727

Category: Mathematics

Page: 704

View: 5538

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Hirsch and Goodman offer a mathematically sound, rigorous text to those instructors who believe students should be challenged. The text prepares students for future study in higher-level courses by gradually building students’ confidence without sacrificing rigor. To help students move beyond the how of algebra (computational proficiency) to the why (conceptual understanding), the authors introduce topics at an elementary level and return to them at increasing levels of complexity. Their gradual introduction of concepts, rules, and definitions through a wealth of illustrative examples -- both numerical and algebraic--helps students compare and contrast related ideas and understand the sometimes-subtle distinctions among a variety of situations. This author team carefully prepares students to succeed in higher-level mathematics. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
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Elementary Geometry

Author: John Roe

Publisher: Clarendon Press

ISBN: 9780198534563

Category: Mathematics

Page: 307

View: 4493

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This text is a careful introduction to geometry. While developing geometry for its own sake, the book also emphasizes the links between geometry and other branches of pure and applied mathematics.
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