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Titlebook: Learning Higher Mathematics; Part I: The Method o Lev Semenovič Pontrjagin Textbook 1984 Springer-Verlag Berlin Heidelberg 1984 Analysis.An

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书目名称Learning Higher Mathematics
副标题Part I: The Method o
编辑Lev Semenovič Pontrjagin
视频video
丛书名称Springer Series in Soviet Mathematics
图书封面Titlebook: Learning Higher Mathematics; Part I: The Method o Lev Semenovič Pontrjagin Textbook 1984 Springer-Verlag Berlin Heidelberg 1984 Analysis.An
描述Lev Semenovic Pontrjagin (1908) is one of the outstanding figures in 20th century mathematics. In a long career he has made fundamental con­ tributions to many branches of mathematics, both pure and applied. He has received every honor that a grateful government can bestow. Though in no way constrained to do so, he has through the years taught mathematics courses at Moscow State University. In the year 1975 he set himself the task of writing a series of books on secondary school and beginning university mathematics. In his own words, "I wished to set forth the foundations of higher mathematics in a form that would have been accessible to myself as a lad, but making use of all my experience as a scientist and a teacher, ac­ cumulated over many years. " The present volume is a translation of the first two out of four moderately sized volumes on this theme planned by Pro­ fessor Pontrjagin. The book begins at the beginning of modern mathematics, analytic ge­ ometry in the plane and 3-dimensional space. Refinements about limits and the nature of real numbers come only later. Many concrete examples are given; these may take the place of formal exercises, which the book does not provide.
出版日期Textbook 1984
关键词Analysis; Analytische Geometrie; Derivative; Learning; Mathematics; Taylor series; calculus; limit of a fun
版次1
doihttps://doi.org/10.1007/978-3-642-69040-2
isbn_softcover978-3-540-12351-4
isbn_ebook978-3-642-69040-2Series ISSN 0939-1169
issn_series 0939-1169
copyrightSpringer-Verlag Berlin Heidelberg 1984
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Analytic Geometry in the PlaneWe pointed out in §5 that if we construct a system of Cartesian coordinates in a plane . and if . is a function of the two independent variables . and ., then the equation . defines a curve in the plane, namely, all of the points . whose coordinates satisfy the equation (1).
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SeriesIn mathematics one very often must consider sums with an infinite number of summands, or, as they are called, .. Such a sum or series is written in the form . where z., z.,… z., … are real or complex numbers.
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Learning Higher Mathematics978-3-642-69040-2Series ISSN 0939-1169
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Springer Series in Soviet Mathematicshttp://image.papertrans.cn/l/image/582746.jpg
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trukturierung des zu lösenden Problems zu bieten (KOCH 1987, S.253). Es entsteht so ein „Leitfaden“ für die weitere Forschung. Die anschließend im Rahmen dieser Arbeit als . hervorgehenden Hypothesen können dann als Ausgangspunkt zur konkreten Theoriebildung herangezogen werden. Dies ist das Ziel de
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