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Exploring Mathematics with your Computer (Anneli Lax New Mathematical Library, Series Number 35) 🔍
The Mathematical Association of America, American Mathematical Society, [Washington, D.C.], 1993
by Arthur Engel 🔍
description
This is a mathematics book, not a programming book, although it explains Pascal to beginners. It is aimed at high school students and undergraduates with a strong interest in mathematics, and teachers looking for fresh ideas. It is full of diverse mathematical ideas requiring little background. It includes a large number of challenging problems, many of which illustrate how numerical computation leads to conjectures which can then be proved by mathematical reasoning. It is assumed that readers have a PC at their disposal.
Alternative title
Episodes in Nineteenth and Twentieth Century Euclidean Geometry (Anneli Lax New Mathematical Library, Series Number 37)
Alternative title
Based on the Eütvös Competitions, 1894-[1928] Rev. and Edited by G. Hajós, G. Neukomm [and] J. Surányi
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The contest problem book IV: annual high school examinations, 1973-1982
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International Mathematical Olympiads, 1959-1977
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Based on the Eötvös Competitions, 1894-1905
Alternative title
Mathematical methods in science
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Hungarian Problem Book
Alternative author
compiled and with solutions by Ralph A. Artino, Anthony M. Gaglione, and Niel Shell
Alternative author
József Kürschák; György Hajós; Géza Hajós; G. Neukomm; János Surányi
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Charles T. Salking, Charles T. Salkind, James M. Earl
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Ross Honsberger; Mathematical Association of America
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compiled and with solutions by Charles T. Salkind
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George Pólya; Leon Bowden
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by Ross Honsberger
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Samuel L Greitzer
Alternative author
Honsberger, Ross
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Engel, Arthur
Alternative publisher
[Washington, D.C.]: Mathematical Association of America
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American Mathematical Society
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Cambridge University Press
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Random House
Alternative edition
New mathematical library ;, v. 35, [Washington, D.C.], District of Columbia, 1993
Alternative edition
New mathematical library -- 5, 17, 25, New York, District of Columbia, 1961
Alternative edition
New mathematical library ;, 37, Washington, District of Columbia, 1995
Alternative edition
New mathematical library ;, 29, Washington, District of Columbia, 1983
Alternative edition
New mathematical library -- 37, Washington, Washington State, 1995
Alternative edition
Anneli Lax New Mathematical Library, v.35, Providence, 1997
Alternative edition
New mathematical library, Corr. 2nd print, Washington, 1997
Alternative edition
New mathematical library -- 35, Cambridge, England, 1997
Alternative edition
New mathematical library, 27, Washington, ©1978
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New mathematical library, 26, Washington, 1977
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United States, United States of America
Alternative edition
Pap/Dsk edition, August 14, 1997
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PS, 1996
Alternative edition
PS, 1993
Alternative edition
1, 1996
metadata comments
A 3.5" IBM-compatible disk containing the Pascal Programs described in this book is packaged with this volume.
metadata comments
Includes bibliographical references (p. 298) and index.
System requirements for computer disk: IBM PC or compatible; Turbo Pascal; graphics card.
metadata comments
Includes bibliographical references (p. [155]) and index.
metadata comments
Includes bibliographical references and index.
metadata comments
Includes index.
Alternative description
<p>Professor Honsberger has succeeded in 'finding' and 'extricating' unexpected and little known properties of such fundamental figures as triangles, results that deserve to be better known. He has laid the foundations for his proofs with almost entirely synthetic methods easily accessible to students of Euclidean geometry early on. While in most of his other books Honsberger presents each of his gems, morsels, and plums, as self contained tidbits, in this volume he connects chapters with some deductive treads. He includes exercises and gives their solutions at the end of the book. In addition to appealing to lovers of synthetic geometry, this book will stimulate also those who, in this era of revitalizing geometry, will want to try their hands at deriving the results by analytic methods. Many of the incidence properties call to mind the duality principle; other results tempt the reader to prove them by vector methods, or by projective transformations, or complex numbers.</p>
Alternative description
"Professor Honsberger has succeeded in "finding" and "extricating" unexpected and little known properties of such fundamental figures as triangles, results that deserve to be better known. He has laid the foundations for his proofs with almost entirely synthetic methods easily accessible to students of Euclidean geometry early on. He includes exercises and gives their solutions at the end of the book." "In addition to appealing to lovers of synthetic geometry, this book will stimulate also those who, in this era of revitalizing geometry, will want to try their hands at deriving the results by analytic methods. Many of the incidence properties call to mind the duality principle; other results tempt the reader to prove them by vector methods, or by projective transformations, or complex numbers."--Jacket
Alternative description
Today's personal computer gives its owner tremendous power which can be used for experimental investigations and simulations of unprecedented scope, leading to mini-research. This book is a first step into this exciting field. This is a mathematics book, not a programming book, although it explains Pascal to beginners. It is aimed at high school students and undergraduates with a strong interest in mathematics and teachers looking for fresh ideas. It is full of diverse mathematical ideas requiring little background. It includes a large number of challenging problems that illustrate how computing leads to conjectures, many of which can then be proved by mathematical reasoning. - Back cover
Alternative description
Euclidean geometry was worked out by Euclid and his predecessors more than 2300 years ago and is studied today mostly as a background to other branches of mathematics. In fact, however, as Professor Honsberger masterfully demonstrates, geometry in the style of Euclid is still alive and well. Mathematicians have again been studying the properties of geometric figures from a synthetic point of view and have discovered many new and unexpected results which Euclid himself never found. And since all of us have studied Euclidean geometry, at least the ancient version, this book is easily accessible. Exercises with their solutions are included in the book
Alternative description
v.1.Problems from the annual high school contests.
v.2.Annual high school contests 1961-1965.
v.3.Annual high school contests 1966-1972.
Alternative description
Presents topology as a unifying force for larger areas of mathematics through its application in existence theorems.
Alternative description
The factorial function is defined on the nonnegative integers by means of 0! = 1, n! = n(n - 1)!
Alternative description
ix, 301 pages : 23 cm
Includes bibliographical references (page 298) and index
date open sourced
2023-06-28
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