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Geometry For College Students
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Book Synopsis Geometry for College Students by : I. Martin Isaacs
Download or read book Geometry for College Students written by I. Martin Isaacs and published by American Mathematical Soc.. This book was released on 2009 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Elementary Geometry for College Students by : Daniel C. Alexander
Download or read book Elementary Geometry for College Students written by Daniel C. Alexander and published by . This book was released on 1999 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Elementary Geometry for College Students by : Daniel C. Alexander
Download or read book Elementary Geometry for College Students written by Daniel C. Alexander and published by Cengage Learning. This book was released on 2010-01-01 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis College Geometry by : Nathan Altshiller-Court
Download or read book College Geometry written by Nathan Altshiller-Court and published by Dover Publications. This book was released on 2013-12-30 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Essentials of Geometry for College Students by : Margaret L. Lial
Download or read book Essentials of Geometry for College Students written by Margaret L. Lial and published by Addison-Wesley Longman. This book was released on 2003-11 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book College Geometry written by David C. Kay and published by CRC Press. This book was released on 2011-06-24 with total page 655 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Elementary College Geometry by : Henry Africk
Download or read book Elementary College Geometry written by Henry Africk and published by . This book was released on 2004 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Basic Geometry for College Students by : Alan S. Tussy
Download or read book Basic Geometry for College Students written by Alan S. Tussy and published by Cengage Learning. This book was released on 2002-09 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Student Study Guide with Solutions Manual for Alexander/Koeberlein's Elementary Geometry for College Students by : Daniel C. Alexander
Download or read book Student Study Guide with Solutions Manual for Alexander/Koeberlein's Elementary Geometry for College Students written by Daniel C. Alexander and published by . This book was released on 2019-01-15 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Geometry written by Steve Slavin and published by John Wiley & Sons. This book was released on 2004-10-28 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learn 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.
Download or read book Geometry written by Harold R. Jacobs and published by Macmillan. This book was released on 2003-03-14 with total page 802 pages. Available in PDF, EPUB and Kindle. Book excerpt: Harold Jacobs’s Geometry created a revolution in the approach to teaching this subject, one that gave rise to many ideas now seen in the NCTM Standards. Since its publication nearly one million students have used this legendary text. Suitable for either classroom use or self-paced study, it uses innovative discussions, cartoons, anecdotes, examples, and exercises that unfailingly capture and hold student interest. This edition is the Jacobs for a new generation. It has all the features that have kept the text in class by itself for nearly 3 decades, all in a thoroughly revised, full-color presentation that shows today’s students how fun geometry can be. The text remains proof-based although the presentation is in the less formal paragraph format. The approach focuses on guided discovery to help students develop geometric intuition.
Book Synopsis Kiselev's Geometry by : Andreĭ Petrovich Kiselev
Download or read book Kiselev's Geometry written by Andreĭ Petrovich Kiselev and published by . This book was released on 2008 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 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.
Book Synopsis Algebra & Geometry by : Mark V. Lawson
Download or read book Algebra & Geometry written by Mark V. Lawson and published by CRC Press. This book was released on 2016-11-25 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebra & Geometry: An Introduction to University Mathematics provides a bridge between high school and undergraduate mathematics courses on algebra and geometry. The author shows students how mathematics is more than a collection of methods by presenting important ideas and their historical origins throughout the text. He incorporates a hands-on approach to proofs and connects algebra and geometry to various applications. The text focuses on linear equations, polynomial equations, and quadratic forms. The first several chapters cover foundational topics, including the importance of proofs and properties commonly encountered when studying algebra. The remaining chapters form the mathematical core of the book. These chapters explain the solution of different kinds of algebraic equations, the nature of the solutions, and the interplay between geometry and algebra
Book Synopsis Fast Track: Geometry by : The Princeton Review
Download or read book Fast Track: Geometry written by The Princeton Review and published by Princeton Review. This book was released on 2021-11-30 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: GET 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!
Download or read book Axiomatic Geometry written by John M. Lee and published by American Mathematical Soc.. This book was released on 2013-04-10 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: The story of geometry is the story of mathematics itself: Euclidean geometry was the first branch of mathematics to be systematically studied and placed on a firm logical foundation, and it is the prototype for the axiomatic method that lies at the foundation of modern mathematics. It has been taught to students for more than two millennia as a mode of logical thought. This book tells the story of how the axiomatic method has progressed from Euclid's time to ours, as a way of understanding what mathematics is, how we read and evaluate mathematical arguments, and why mathematics has achieved the level of certainty it has. It is designed primarily for advanced undergraduates who plan to teach secondary school geometry, but it should also provide something of interest to anyone who wishes to understand geometry and the axiomatic method better. It introduces a modern, rigorous, axiomatic treatment of Euclidean and (to a lesser extent) non-Euclidean geometries, offering students ample opportunities to practice reading and writing proofs while at the same time developing most of the concrete geometric relationships that secondary teachers will need to know in the classroom. -- P. [4] of cover.
Download or read book Algebra and Geometry written by Hongxi Wu and published by American Mathematical Soc.. This book was released on 2020-09-08 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second of three volumes that, together, give an exposition of the mathematics of grades 9–12 that is simultaneously mathematically correct and grade-level appropriate. The volumes are consistent with CCSSM (Common Core State Standards for Mathematics) and aim at presenting the mathematics of K–12 as a totally transparent subject. The first part of this volume is devoted to the study of standard algebra topics: quadratic functions, graphs of equations of degree 2 in two variables, polynomials, exponentials and logarithms, complex numbers and the fundamental theorem of algebra, and the binomial theorem. Having translations and the concept of similarity at our disposal enables us to clarify the study of quadratic functions by concentrating on their graphs, the same way the study of linear functions is greatly clarified by knowing that their graphs are lines. We also introduce the concept of formal algebra in the study of polynomials with complex coefficients. The last three chapters in this volume complete the systematic exposition of high school geometry that is consistent with CCSSM. These chapters treat the geometry of the triangle and the circle, ruler and compass constructions, and a general discussion of axiomatic systems, including non-Euclidean geometry and the celebrated work of Hilbert on the foundations. This book should be useful for current and future teachers of K–12 mathematics, as well as for some high school students and for education professionals.
Download or read book Turtle Geometry written by Harold Abelson and published by MIT Press. This book was released on 1986-07-09 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: Turtle Geometry presents an innovative program of mathematical discovery that demonstrates how the effective use of personal computers can profoundly change the nature of a student's contact with mathematics. Using this book and a few simple computer programs, students can explore the properties of space by following an imaginary turtle across the screen. The concept of turtle geometry grew out of the Logo Group at MIT. Directed by Seymour Papert, author of Mindstorms, this group has done extensive work with preschool children, high school students and university undergraduates.
