Proof In Geometry

Author : A. I. Fetisov,Ya. S. Dubnov
Publisher : Courier Corporation
Page : 130 pages
File Size : 53,8 Mb
Release : 2012-06-11
Category : Mathematics
ISBN : 9780486154923

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Proof in Geometry by A. I. Fetisov,Ya. S. Dubnov Pdf

This single-volume compilation of 2 books explores the construction of geometric proofs. It offers useful criteria for determining correctness and presents examples of faulty proofs that illustrate common errors. 1963 editions.

Author : Shang-Ching Chou,Xiao-Shan Gao,Jingzhong Zhang
Publisher : World Scientific
Page : 490 pages
File Size : 40,9 Mb
Release : 1994
Category : Mathematics
ISBN : 9810215843

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Machine Proofs in Geometry by Shang-Ching Chou,Xiao-Shan Gao,Jingzhong Zhang Pdf

This book reports recent major advances in automated reasoning in geometry. The authors have developed a method and implemented a computer program which, for the first time, produces short and readable proofs for hundreds of geometry theorems.The book begins with chapters introducing the method at an elementary level, which are accessible to high school students; latter chapters concentrate on the main theme: the algorithms and computer implementation of the method.This book brings researchers in artificial intelligence, computer science and mathematics to a new research frontier of automated geometry reasoning. In addition, it can be used as a supplementary geometry textbook for students, teachers and geometers. By presenting a systematic way of proving geometry theorems, it makes the learning and teaching of geometry easier and may change the way of geometry education.

Author : Andreĭ Petrovich Kiselev
Publisher : Unknown
Page : 192 pages
File Size : 50,8 Mb
Release : 2008
Category : Geometry
ISBN : UCSD:31822037285152

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Kiselev's Geometry by Andreĭ Petrovich Kiselev Pdf

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.

Author : Aad Goddijn,Martin Kindt,Wolfgang Reuter
Publisher : Springer
Page : 342 pages
File Size : 43,9 Mb
Release : 2014-12-03
Category : Education
ISBN : 9789462098602

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Geometry with Applications and Proofs by Aad Goddijn,Martin Kindt,Wolfgang Reuter Pdf

This book shows how geometry can be learned by starting with real world problems which are solved by intuition, common sense reasoning and experiments. Gradually the more formal demands of mathematical proofs get their proper place and make it possible to explore new applications. This process helps students to feel the need for precise definitions and procedures, to contribute to the construction of an axiomatic system, and to experience the power of systematic reasoning. The course is designed for students in a Nature & Technology strand which prepares for studying the sciences or technology at university level. Its goal was basically to reintroduce ‘proof’ in a meaningful way in the late 1990s Dutch secondary education curriculum. Following the educational view of the Freudenthal Institute this is not done by stating Euclid’s axioms on page one, but rather a starting point is chosen in students’ intuitions and tentative solutions of problems that are experienced as real and relevant. The photograph on the cover shows students exploring one of the problems from the midpart of the course in the computerlab.

Author : Martin Aigner,Günter M. Ziegler
Publisher : Springer Science & Business Media
Page : 194 pages
File Size : 50,5 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9783662223437

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Proofs from THE BOOK by Martin Aigner,Günter M. Ziegler Pdf

According to the great mathematician Paul Erdös, God maintains perfect mathematical proofs in The Book. This book presents the authors candidates for such "perfect proofs," those which contain brilliant ideas, clever connections, and wonderful observations, bringing new insight and surprising perspectives to problems from number theory, geometry, analysis, combinatorics, and graph theory. As a result, this book will be fun reading for anyone with an interest in mathematics.

Author : Daniel J. Velleman
Publisher : Cambridge University Press
Page : 401 pages
File Size : 46,6 Mb
Release : 2006-01-16
Category : Mathematics
ISBN : 9780521861243

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How to Prove It by Daniel J. Velleman Pdf

This new edition of Daniel J. Velleman's successful textbook contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software.

Author : Richard H. Hammack
Publisher : Unknown
Page : 314 pages
File Size : 54,5 Mb
Release : 2016-01-01
Category : Mathematics
ISBN : 0989472116

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Book of Proof by Richard H. Hammack Pdf

This book is an introduction to the language and standard proof methods of mathematics. It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity.

Author : Paul Zeitz
Publisher : John Wiley & Sons
Page : 389 pages
File Size : 54,9 Mb
Release : 2017
Category : Problem solving
ISBN : 9781119239901

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The Art and Craft of Problem Solving by Paul Zeitz Pdf

This text on mathematical problem solving provides a comprehensive outline of "problemsolving-ology," concentrating on strategy and tactics. It discusses a number of standard mathematical subjects such as combinatorics and calculus from a problem solver's perspective.

Author : Amir Alexander
Publisher : Macmillan + ORM
Page : 209 pages
File Size : 44,6 Mb
Release : 2019-09-10
Category : Mathematics
ISBN : 9780374714123

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Proof! by Amir Alexander Pdf

An eye-opening narrative of how geometric principles fundamentally shaped our world On a cloudy day in 1413, a balding young man stood at the entrance to the Cathedral of Florence, facing the ancient Baptistery across the piazza. As puzzled passers-by looked on, he raised a small painting to his face, then held a mirror in front of the painting. Few at the time understood what he was up to; even he barely had an inkling of what was at stake. But on that day, the master craftsman and engineer Filippo Brunelleschi would prove that the world and everything within it was governed by the ancient science of geometry. In Proof!, the award-winning historian Amir Alexander traces the path of the geometrical vision of the world as it coursed its way from the Renaissance to the present, shaping our societies, our politics, and our ideals. Geometry came to stand for a fixed and unchallengeable universal order, and kings, empire-builders, and even republican revolutionaries would rush to cast their rule as the apex of the geometrical universe. For who could doubt the right of a ruler or the legitimacy of a government that drew its power from the immutable principles of Euclidean geometry? From the elegant terraces of Versailles to the broad avenues of Washington, DC and on to the boulevards of New Delhi and Manila, the geometrical vision was carved into the landscape of modernity. Euclid, Alexander shows, made the world as we know it possible.

Author : Chris McMullen
Publisher : Unknown
Page : 206 pages
File Size : 49,7 Mb
Release : 2019-05-24
Category : Electronic
ISBN : 1941691501

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Geometry Proofs Essential Practice Problems Workbook with Full Solutions by Chris McMullen Pdf

This geometry workbook includes: 64 proofs with full solutions, 9 examples to help serve as a guide, and a review of terminology, notation, and concepts. A variety of word topics are covered, including: similar and congruent triangles, the Pythagorean theorem, circles, chords, tangents, alternate interior angles, the triangle inequality, the angle sum theorem, quadrilaterals, regular polygons, area of plane figures, inscribed and circumscribed figures, and the centroid of a triangle. The author, Chris McMullen, Ph.D., has over twenty years of experience teaching math skills to physics students. He prepared this workbook to share his strategies for writing geometry proofs.

Author : Ben Orlin
Publisher : Black Dog & Leventhal
Page : 556 pages
File Size : 51,7 Mb
Release : 2018-09-18
Category : Mathematics
ISBN : 9780316509022

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Math with Bad Drawings by Ben Orlin Pdf

A hilarious reeducation in mathematics-full of joy, jokes, and stick figures-that sheds light on the countless practical and wonderful ways that math structures and shapes our world. In Math With Bad Drawings, Ben Orlin reveals to us what math actually is; its myriad uses, its strange symbols, and the wild leaps of logic and faith that define the usually impenetrable work of the mathematician. Truth and knowledge come in multiple forms: colorful drawings, encouraging jokes, and the stories and insights of an empathetic teacher who believes that math should belong to everyone. Orlin shows us how to think like a mathematician by teaching us a brand-new game of tic-tac-toe, how to understand an economic crises by rolling a pair of dice, and the mathematical headache that ensues when attempting to build a spherical Death Star. Every discussion in the book is illustrated with Orlin's trademark "bad drawings," which convey his message and insights with perfect pitch and clarity. With 24 chapters covering topics from the electoral college to human genetics to the reasons not to trust statistics, Math with Bad Drawings is a life-changing book for the math-estranged and math-enamored alike.

Author : Branislav Kisacanin
Publisher : Springer Science & Business Media
Page : 220 pages
File Size : 46,6 Mb
Release : 2007-05-08
Category : Mathematics
ISBN : 9780306469633

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Mathematical Problems and Proofs by Branislav Kisacanin Pdf

A gentle introduction to the highly sophisticated world of discrete mathematics, Mathematical Problems and Proofs presents topics ranging from elementary definitions and theorems to advanced topics -- such as cardinal numbers, generating functions, properties of Fibonacci numbers, and Euclidean algorithm. This excellent primer illustrates more than 150 solutions and proofs, thoroughly explained in clear language. The generous historical references and anecdotes interspersed throughout the text create interesting intermissions that will fuel readers' eagerness to inquire further about the topics and some of our greatest mathematicians. The author guides readers through the process of solving enigmatic proofs and problems, and assists them in making the transition from problem solving to theorem proving. At once a requisite text and an enjoyable read, Mathematical Problems and Proofs is an excellent entrée to discrete mathematics for advanced students interested in mathematics, engineering, and science.

Author : Frank Benjamin Allen,Betty Stine Guyer
Publisher : Unknown
Page : 278 pages
File Size : 44,9 Mb
Release : 1973
Category : Mathematics
ISBN : PSU:000029916542

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Basic Concepts in Geometry by Frank Benjamin Allen,Betty Stine Guyer Pdf

Author : Euclid
Publisher : Unknown
Page : 404 pages
File Size : 49,6 Mb
Release : 2017-12-17
Category : Mathematics
ISBN : 1420956477

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Euclid's Elements (the Thirteen Books) by Euclid Pdf

Euclid was a mathematician from the Greek city of Alexandria who lived during the 4th and 3rd century B.C. and is often referred to as the "father of geometry." Within his foundational treatise "Elements," Euclid presents the results of earlier mathematicians and includes many of his own theories in a systematic, concise book that utilized a brief set of axioms and meticulous proofs to solidify his deductions. In addition to its easily referenced geometry, "Elements" also includes number theory and other mathematical considerations. For centuries, this work was a primary textbook of mathematics, containing the only framework for geometry known by mathematicians until the development of "non-Euclidian" geometry in the late 19th century. The extent to which Euclid's "Elements" is of his own original authorship or borrowed from previous scholars is unknown, however despite this fact it was his collation of these basic mathematical principles for which most of the world would come to the study of geometry. Today, Euclid's "Elements" is acknowledged as one of the most influential mathematical texts in history. This volume includes all thirteen books of Euclid's "Elements," is printed on premium acid-free paper, and follows the translation of Thomas Heath.

Author : A.I. Fetisov
Publisher : Unknown
Page : 128 pages
File Size : 51,6 Mb
Release : 1977
Category : Electronic
ISBN : OCLC:476557145

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Proof in Geometry by A.I. Fetisov Pdf