Lectures in Geometry: Analytic Geometry (Semester I)

Postnikov, M.M.

ISBN 10: 5884170289 / ISBN 13: 9785884170285

Published by Editorial URSS, 1994

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Bibliographic Details

• Title: Lectures in Geometry: Analytic Geometry (Semester I)
• Publisher: Editorial URSS
• Publication Date: 1994
• Language: English
• ISBN 10: 5884170289
• ISBN 13: 9785884170285
• Binding: paperback
• Condition: New
• Book Type: book

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Synopsis

Encuadernació rústica.After the Russian edition of this book appeared some of my fellow Lecturers asserted that many of the Lectures in the book are far too long to be physically delivered during the allowed two teaching periods. By the right of friendship I had to remind them that a Lecturer must prepare for his Lectures even if he has been lecturing for over a dozen years and make in advance an elaborate, practically minute-by-minute plan of every Lecture. It is necessary to consider eforehand the rhythm of the Lecture to be delivered what portions of it are to be read slowly, almost at dictation speed, and what may be said quicker and its pattern of intonation where to raise the voice and where to lower it. One also needs a joke somewhere about the middle of the Lecture to rouse the tired students and it should be prepared yet at home, and in every detail, up to a play of facial muscles. It goes without saying that one must plan in advance what to write on the blackboard and in what order and where, and when to delete anything, and coordinate all this with everything else. It is surprising how all this extends the limits of Lecture time and how much it is then possible to say in an outwardly unhurried and thorough manner, with numerous repetitions and explanations.Some reviewers have reproached me for a systematic use of bivectors and trivectors saying that one may well do without them. Some well-known physicist, Max Planck, I think, once said that new ideas (he meant scientific ideas but this can be fully applied to methodical ideas as well), could win only when their opponents have retired from the stage as a result of a natural change of generations. An ex- cellent example illustrating this thesis is the introduction of vectors into the courses of analytic geometry half a century ago. Now only a few people remember the fierce discussions concerning this matter and the present generation does not know how many a lance was broken and how much ...