college geometry a problem solving approach with applications 2nd edition

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College Geometry

Author : Gary L. Musser
ISBN : 0023854502
Genre : Mathematics
File Size : 89. 47 MB
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This book exposes readers to many practical applications of geometry, especially those involving measurement. A three- part organization divides topics into Problem Solving, Geometric Shapes, and Measurement; Formal Synthetic Euclidean Geometry; and Alternate Approaches to Plane Geometry.

College Geometry

Author : Howard Whitley Eves
ISBN : 0867204753
Genre : Mathematics
File Size : 26. 13 MB
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Mathematics

College Geometry

Author : David C. Kay
ISBN : 9781439819111
Genre : Mathematics
File Size : 51. 45 MB
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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

Author : Nathan Altshiller-Court
ISBN : 9780486141374
Genre : Mathematics
File Size : 71. 31 MB
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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.

Geometry For College Students

Author : I. Martin Isaacs
ISBN : 0821847945
Genre : Mathematics
File Size : 42. 87 MB
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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.

College Geometry

Author : David C. Kay
ISBN : 0321046242
Genre : Mathematics
File Size : 41. 61 MB
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College Geometry is an approachable text, covering both Euclidean and Non-Euclidean geometry. This text is directed at the one semester course at the college level, for both pure mathematics majors and prospective teachers. A primary focus is on student participation, which is promoted in two ways: (1) Each section of the book contains one or two units, called Moments for Discovery, that use drawing, computational, or reasoning experiments to guide students to an often surprising conclusion related to section concepts; and (2) More than 650 problems were carefully designed to maintain student interest.

Geometric Methods And Applications

Author : Jean Gallier
ISBN : 9781461301370
Genre : Mathematics
File Size : 78. 80 MB
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As an introduction to fundamental geometric concepts and tools needed for solving problems of a geometric nature using a computer, this book fills the gap between standard geometry books, which are primarily theoretical, and applied books on computer graphics, computer vision, or robotics that do not cover the underlying geometric concepts in detail. Gallier offers an introduction to affine, projective, computational, and Euclidean geometry, basics of differential geometry and Lie groups, and explores many of the practical applications of geometry. Some of these include computer vision, efficient communication, error correcting codes, cryptography, motion interpolation, and robot kinematics. This comprehensive text covers most of the geometric background needed for conducting research in computer graphics, geometric modeling, computer vision, and robotics and as such will be of interest to a wide audience including computer scientists, mathematicians, and engineers.

A Transition To Mathematics With Proofs

Author : Michael J Cullinane
ISBN : 9781449627782
Genre : Mathematics
File Size : 60. 96 MB
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Developed for the "transition" course for mathematics majors moving beyond the primarily procedural methods of their calculus courses toward a more abstract and conceptual environment found in more advanced courses, A Transition to Mathematics with Proofs emphasizes mathematical rigor and helps students learn how to develop and write mathematical proofs. The author takes great care to develop a text that is accessible and readable for students at all levels. It addresses standard topics such as set theory, number system, logic, relations, functions, and induction in at a pace appropriate for a wide range of readers. Throughout early chapters students gradually become aware of the need for rigor, proof, and precision, and mathematical ideas are motivated through examples.

Elementary Geometry For College Students

Author : Daniel C. Alexander
ISBN : 9781285965901
Genre : Mathematics
File Size : 56. 63 MB
Format : PDF
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Building on the success of its first five editions, the Sixth Edition of the market-leading text explores the important principles and real-world applications of plane, coordinate, and solid geometry. Strongly influenced by both NCTM and AMATYC standards, the text includes intuitive, inductive, and deductive experiences in its explorations. Goals of the authors for the students include a comprehensive development of the vocabulary of geometry, an intuitive and inductive approach to development of principles, and the strengthening of deductive skills that leads to both verification of geometric theories and the solution of geometry-based real world applications. Updates in this edition include the addition of 150 new problems, new applications, new Discover! activities and examples and additional material on select topics such as parabolas and a Three-Dimensional Coordinate System. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Math Stories For Problem Solving Success

Author : James L. Overholt
ISBN : 9780787996307
Genre : Education
File Size : 73. 75 MB
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This second edition of the popular math teaching resource book Math Stories for Problem Solving Success offers updated true-to-life situations designed to motivate teenagers to use math skills for solving everyday problems. The book features intriguing short stories followed by sets of problems related to the stories that are correlated to the standards of the National Council of Teachers of Mathematics. Each of the easy-to-read stories is followed by three increasingly difficult groups of problem sets. This makes it simple for teachers to select the appropriate problem set for students of different abilities and at different grade levels. To further enhance student involvement, the stories feature recurring characters and can be used either sequentially or out of order. The problems in the book cover many basic math topics, including decimals, fractions, and percents; measurement; geometry; data, statistics, and probability; algebra; and problem solving. In addition to having all the answers, an Answer Key at the end of the book offers explanations and background information about the problems that can be helpful to both teachers and students. Math Stories for Problem Solving Success will help you show students that math is something they are already using every day.

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