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Euclidean and Transformational Geometry: A Deductive Inquiry

2008-02-12 Mathematics
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Release : 2008-02-12
Genre : Mathematics
Kind : eBook
Book Rating : 229/5 ( reviews)

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Book Synopsis Euclidean and Transformational Geometry: A Deductive Inquiry by : Shlomo Libeskind

Download or read book Euclidean and Transformational Geometry: A Deductive Inquiry written by Shlomo Libeskind. This book was released on 2008-02-12. Available in PDF, EPUB and Kindle. Book excerpt: Ideal for mathematics majors and prospective secondary school teachers, Euclidean and Transformational Geometry provides a complete and solid presentation of Euclidean geometry with an emphasis on solving challenging problems. The author examines various strategies and heuristics for approaching proofs and discusses the process students should follow to determine how to proceed from one step to the next through numerous problem solving techniques. A large collection of problems, varying in level of difficulty, are integrated throughout the text and suggested hints for the more challenging problems appear in the instructor's solutions manual and can be used at the instructor's discretion.

Studyguide for Euclidean and Transformational Geometry

2009-10 Education
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Release : 2009-10
Genre : Education
Kind : eBook
Book Rating : 126/5 ( reviews)

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Book Synopsis Studyguide for Euclidean and Transformational Geometry by : Cram101 Textbook Reviews

Download or read book Studyguide for Euclidean and Transformational Geometry written by Cram101 Textbook Reviews. This book was released on 2009-10. Available in PDF, EPUB and Kindle. Book excerpt: Never HIGHLIGHT a Book Again! Virtually all of the testable terms, concepts, persons, places, and events from the textbook are included. Cram101 Just the FACTS101 studyguides give all of the outlines, highlights, notes, and quizzes for your textbook with optional online comprehensive practice tests. Only Cram101 is Textbook Specific. Accompanys: 9780763743666 .

Euclidean Geometry and Transformations

2012-04-26 Mathematics
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Release : 2012-04-26
Genre : Mathematics
Kind : eBook
Book Rating : 429/5 ( reviews)

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Book Synopsis Euclidean Geometry and Transformations by : Clayton W. Dodge

Download or read book Euclidean Geometry and Transformations written by Clayton W. Dodge. This book was released on 2012-04-26. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to Euclidean geometry emphasizes transformations, particularly isometries and similarities. Suitable for undergraduate courses, it includes numerous examples, many with detailed answers. 1972 edition.

Euclidean Geometry

2012-06-26 Mathematics
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Release : 2012-06-26
Genre : Mathematics
Kind : eBook
Book Rating : 850/5 ( reviews)

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Book Synopsis Euclidean Geometry by : David M. Clark

Download or read book Euclidean Geometry written by David M. Clark. This book was released on 2012-06-26. Available in PDF, EPUB and Kindle. Book excerpt: Geometry has been an essential element in the study of mathematics since antiquity. Traditionally, we have also learned formal reasoning by studying Euclidean geometry. In this book, David Clark develops a modern axiomatic approach to this ancient subject, both in content and presentation. Mathematically, Clark has chosen a new set of axioms that draw on a modern understanding of set theory and logic, the real number continuum and measure theory, none of which were available in Euclid's time. The result is a development of the standard content of Euclidean geometry with the mathematical precision of Hilbert's foundations of geometry. In particular, the book covers all the topics listed in the Common Core State Standards for high school synthetic geometry. The presentation uses a guided inquiry, active learning pedagogy. Students benefit from the axiomatic development because they themselves solve the problems and prove the theorems with the instructor serving as a guide and mentor. Students are thereby empowered with the knowledge that they can solve problems on their own without reference to authority. This book, written for an undergraduate axiomatic geometry course, is particularly well suited for future secondary school teachers. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession.

Classical Geometry

2014-04-14 Mathematics
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Release : 2014-04-14
Genre : Mathematics
Kind : eBook
Book Rating : 199/5 ( reviews)

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Book Synopsis Classical Geometry by : I. E. Leonard

Download or read book Classical Geometry written by I. E. Leonard. This book was released on 2014-04-14. Available in PDF, EPUB and Kindle. Book excerpt: Features the classical themes of geometry with plentiful applications in mathematics, education, engineering, and science Accessible and reader-friendly, Classical Geometry: Euclidean, Transformational, Inversive, and Projective introduces readers to a valuable discipline that is crucial to understanding bothspatial relationships and logical reasoning. Focusing on the development of geometric intuitionwhile avoiding the axiomatic method, a problem solving approach is encouraged throughout. The book is strategically divided into three sections: Part One focuses on Euclidean geometry, which provides the foundation for the rest of the material covered throughout; Part Two discusses Euclidean transformations of the plane, as well as groups and their use in studying transformations; and Part Three covers inversive and projective geometry as natural extensions of Euclidean geometry. In addition to featuring real-world applications throughout, Classical Geometry: Euclidean, Transformational, Inversive, and Projective includes: Multiple entertaining and elegant geometry problems at the end of each section for every level of study Fully worked examples with exercises to facilitate comprehension and retention Unique topical coverage, such as the theorems of Ceva and Menalaus and their applications An approach that prepares readers for the art of logical reasoning, modeling, and proofs The book is an excellent textbook for courses in introductory geometry, elementary geometry, modern geometry, and history of mathematics at the undergraduate level for mathematics majors, as well as for engineering and secondary education majors. The book is also ideal for anyone who would like to learn the various applications of elementary geometry.

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