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Author: Margaret L. Lial
Publisher: Addison-Wesley Longman
Published: 2003-11
Total Pages: 0
ISBN-13: 9780201748826
DOWNLOAD EBOOKThis 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: Daniel C. Alexander
Publisher:
Published: 1999
Total Pages: 566
ISBN-13: 9780395870556
DOWNLOAD EBOOKAuthor: I. Martin Isaacs
Publisher: American Mathematical Soc.
Published: 2009
Total Pages: 242
ISBN-13: 0821847945
DOWNLOAD EBOOKOne 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: Nathan Altshiller-Court
Publisher: Dover Publications
Published: 2013-12-30
Total Pages: 336
ISBN-13: 9780486788470
DOWNLOAD EBOOKThe 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: Daniel C. Alexander
Publisher: Cengage Learning
Published: 2010-01-01
Total Pages: 624
ISBN-13: 9781439047903
DOWNLOAD EBOOKBuilding 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: The Princeton Review
Publisher: Princeton Review
Published: 2021-11-30
Total Pages: 273
ISBN-13: 0525571868
DOWNLOAD EBOOKGET UP TO SPEED WITH FAST TRACK: GEOMETRY! Covering the most important material taught in high school geometry classes, this essential review book gets readers on the fast track to class success, with critical information presented in an easy-to-follow quick-study format! Inside this book, you'll find: • Clear, concise summaries of the most important concepts, formulas, and geometric skills • Diagrams, charts, and graphs for quick visual reference • Easy-to-follow content organization and illustrations With its friendly, straightforward approach and a clean, colorful modern design crafted to appeal to visual learners, this guidebook is perfect for catching up in class or getting ahead on exam review. Topics covered in Fast Track: Geometry include: • Key terms • Angles • Polygons • Circles • Congruence and similarity • Constructions • Transformations • Trigonometry • Three-dimensional figures • Reasoning and proofs • Perimeter, area, and volume ... and more!
Author: Alan S. Tussy
Publisher: Cengage Learning
Published: 2002-09
Total Pages: 164
ISBN-13: 9780534391805
DOWNLOAD EBOOKIntended 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: David C. Kay
Publisher: CRC Press
Published: 2011-06-24
Total Pages: 655
ISBN-13: 1439819114
DOWNLOAD EBOOKDesigned 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: Andreĭ Petrovich Kiselev
Publisher:
Published: 2008
Total Pages: 192
ISBN-13:
DOWNLOAD EBOOKThis volume completes the English adaptation of a classical Russian textbook in elementary Euclidean geometry. The 1st volume subtitled "Book I. Planimetry" was published in 2006 (ISBN 0977985202). This 2nd volume (Book II. Stereometry) covers solid geometry, and contains a chapter on vectors, foundations, and introduction in non-Euclidean geometry added by the translator. The book intended for high-school and college students, and their teachers. Includes 317 exercises, index, and bibliography.
Author: Steve Slavin
Publisher: John Wiley & Sons
Published: 2004-10-28
Total Pages: 284
ISBN-13: 0471680192
DOWNLOAD EBOOKLearn geometry at your own pace What are congruent circles? How do you find the hypotenuse of a triangle? What is the sum of the angles in a decagon? How can you apply geometric equations to your daily life? With the unbeatable study companion Geometry: A Self-Teaching Guide, you'll discover the answers to these questions and many more. This thorough primer presents an easy-to-follow, proven method for grasping the key concepts of geometry. You'll progress step by step through plane, solid, and analytic geometry and then move on to geometric applications for calculus. You'll build your problem-solving skills along the way through detailed examples, reviews, exercises, and answer explanations. The clearly structured format of Geometry makes it fully accessible, providing an easily understood, comprehensive overview for everyone from high school students to adult learners to math mavens. Like all Self-Teaching Guides, Geometry allows you to build gradually on what you have learned-at your own pace. Questions and self-tests reinforce the information in each chapter and allow you to skip ahead or focus on specific areas of concern. Packed with useful, up-to-date information, this clear, concise volume is a valuable learning tool and reference source for anyone who wants to improve his or her understanding of basic geometry.
