Elementary Geometry for College Students PDF Download

Author: Daniel C. Alexander
Publisher:
ISBN: 9780395870556
Category : Mathematics
Languages : en
Pages : 566

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Book Description

Author: I. Martin Isaacs
Publisher: American Mathematical Soc.
ISBN: 0821847945
Category : Mathematics
Languages : en
Pages : 242

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Book Description
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.

Author: Daniel C. Alexander
Publisher: Cengage Learning
ISBN: 9781439047903
Category : Mathematics
Languages : en
Pages : 624

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Book Description
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.

Author: Henry Africk
Publisher:
ISBN: 9780759341906
Category : Geometry
Languages : en
Pages : 369

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Book Description

Author: Daniel C. Alexander
Publisher:
ISBN: 9780357022122
Category : Mathematics
Languages : en
Pages : 0

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Book Description
The Student Study Guide with Solutions Manual provides additional practice problems for each section with solutions, as well as solutions to select odd-numbered problems from the text, along with section-by-section objectives.

Author: Alan S. Tussy
Publisher: Cengage Learning
ISBN: 9780534391805
Category : Mathematics
Languages : en
Pages : 164

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Book Description
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.

Author: John Roe
Publisher: Clarendon Press
ISBN: 9780198534563
Category : Language Arts & Disciplines
Languages : en
Pages : 324

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Book Description
This textbook provides an introduction to Euclidean geometry. While developing geometry for its own sake, the book also emphasizes the links between geometry and other branches of pure and applied mathematics.

Author: Nathan Altshiller-Court
Publisher: Dover Publications
ISBN: 9780486788470
Category :
Languages : en
Pages : 336

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Book Description
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.

Author: David C. Kay
Publisher: CRC Press
ISBN: 1439819114
Category : Mathematics
Languages : en
Pages : 655

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Book Description
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.

Author: Daniel C. Alexander
Publisher:
ISBN: 9781337614085
Category :
Languages : en
Pages : 624

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Book Description
ELEMENTARY GEOMETRY FOR COLLEGE STUDENTS, 7th Edition, is designed to help students develop a comprehensive vocabulary of geometry, an intuitive and inductive approach to the development of principles, and strong deductive skills to solve geometry-based real-world applications. Over 150 new exercises provide additional practice in writing proofs. Available with access to WebAssign, an online study tool that helps students master the course concepts.