Elementary Geometry For College Students
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Elementary Geometry For College Students
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Author : Daniel C. Alexander
language : en
Publisher:
Release Date : 1999
Elementary Geometry For College Students written by Daniel C. Alexander and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.
Geometry For College Students
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Author : I. Martin Isaacs
language : en
Publisher: American Mathematical Soc.
Release Date : 2009
Geometry For College Students written by I. Martin Isaacs and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.
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.
Elementary College Geometry
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Author : Henry Africk
language : en
Publisher:
Release Date : 2004
Elementary College Geometry written by Henry Africk and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Geometry categories.
Elementary Geometry
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Author : John Roe
language : en
Publisher: Clarendon Press
Release Date : 1993
Elementary Geometry written by John Roe and has been published by Clarendon Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Language Arts & Disciplines categories.
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.
College Geometry
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Author : David C. Kay
language : en
Publisher: CRC Press
Release Date : 2011-06-24
College Geometry written by David C. Kay and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-24 with Mathematics categories.
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
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Author : Nathan Altshiller-Court
language : en
Publisher: Dover Publications
Release Date : 2013-12-30
College Geometry written by Nathan Altshiller-Court and has been published by Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-30 with categories.
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.
Essentials Of Geometry For College Students
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Author : Margaret L. Lial
language : en
Publisher: Addison Wesley Publishing Company
Release Date : 1990
Essentials Of Geometry For College Students written by Margaret L. Lial and has been published by Addison Wesley Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Geometry categories.
This applications-oriented text covers all the geometry needed by students planning to take courses in intermediate algebra, college algebra, trigonometry, or calculus. It presumes an understanding of beginning algebra. The presentation is concise and practical; some of the theorem and proof rigor of a traditional geometry course has been replaced by a more intuitive approach that emphasizes applications to future coursework and to everyday life. Essentials of Geometry for College Students features the accessible writing style and thorough pedagogy that have distinguished the many successful texts by the authors. Full-page chapter introductions, with striking photographs, preview applications that are solved later in the chapter. Throughout, detailed examples with step-by-step solutions and second-color annotations ensure comprehension. Definitions, postulates, theorems, and constructions are set off in colored boxes. Practice exercises parallel examples to help students assimilate concepts and techniques. An extensive exercise set follows each section, offering both routine drill problems and more challenging applications and extensions. Historical background, brainteasers, and illustrations to add interest.
Text Book Of Elementary Plane Geometry
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Author : Julius Petersen
language : en
Publisher:
Release Date : 1880
Text Book Of Elementary Plane Geometry written by Julius Petersen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1880 with Geometry, Modern categories.
Elementary Geometry From An Advanced Standpoint
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Author : Edwin E. Moise
language : en
Publisher: Addison Wesley Publishing Company
Release Date : 1974
Elementary Geometry From An Advanced Standpoint written by Edwin E. Moise and has been published by Addison Wesley Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Mathematics categories.
Students can rely on Moise's clear and thorough presentation of basic geometry theorems. The author assumes that students have no previous knowledge of the subject and presents the basics of geometry from the ground up. This comprehensive approach gives instructors flexibility in teaching. For example, an advanced class may progress rapidly through Chapters 1-7 and devote most of its time to the material presented in Chapters 8, 10, 14, 19, and 20. Similarly, a less advanced class may go carefully through Chapters 1-7, and omit some of the more difficult chapters, such as 20 and 24.