Learning Higher Mathematics Part 1 The Method of Coordinates Part 2 Analysis of the Infinitely Small

by L.S. Pontrjagin

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 The book continues with careful treatment of differentiation and integration of limits of expansions of elementary functions in power se ries

Paperback

First published December 1, 1983