Elementary Geometry for College Students
Author: Daniel C. Alexander
Publisher:
Published: 1999
Total Pages: 566
ISBN-13: 9780395870556
DOWNLOAD EBOOK →Author: Daniel C. Alexander
Publisher:
Published: 1999
Total Pages: 566
ISBN-13: 9780395870556
DOWNLOAD EBOOK →Author: I. Martin Isaacs
Publisher: American Mathematical Soc.
Published: 2009
Total Pages: 242
ISBN-13: 0821847945
DOWNLOAD EBOOK →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
Published: 2010-01-01
Total Pages: 624
ISBN-13: 9781439047903
DOWNLOAD EBOOK →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: Margaret L. Lial
Publisher: Addison-Wesley Longman
Published: 2003-11
Total Pages: 0
ISBN-13: 9780201748826
DOWNLOAD EBOOK →This textbook is designed to provide students with the sound foundation in geometry that is necessary to pursue further courses in college mathematics. It is written for college students who have no previous experience with plane Euclidean geometry and for those who need a refresher in the subject.
Author: Nathan Altshiller-Court
Publisher: Dover Publications
Published: 2013-12-30
Total Pages: 336
ISBN-13: 9780486788470
DOWNLOAD EBOOK →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: Henry Africk
Publisher:
Published: 2004
Total Pages: 369
ISBN-13: 9780759341906
DOWNLOAD EBOOK →Author: David C. Kay
Publisher: CRC Press
Published: 2011-06-24
Total Pages: 655
ISBN-13: 1439819114
DOWNLOAD EBOOK →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: Peter B. Geltner
Publisher: Prindle Weber & Schmidt
Published: 1987
Total Pages: 328
ISBN-13: 9780871500793
DOWNLOAD EBOOK →Chapters 1 through y present the essential material of plane geometry and can easily be covered in three-unit, one-semester course, perhaps omitting the optional trigonometry section. The additional topics in Chapters 8, 9, and 10 provide enrichment materials and enable the book to be used for a five-unit, one-semester course, or for a two-quarter course. These three chapters are sufficiently independent so that any of them can be used separately.
Author: Daniel C. Alexander
Publisher:
Published: 2019-01-15
Total Pages: 0
ISBN-13: 9780357022122
DOWNLOAD EBOOK →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.