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Introduction to Calculus and Analysis: Volume I

Posted By: AvaxGenius
Introduction to Calculus and Analysis: Volume I

Introduction to Calculus and Analysis: Volume I by Richard Courant , Fritz John
English | PDF | 1989 | 682 Pages | ISBN : N/A | 50.3 MB

From the Preface: (…) The book is addressed to students on various levels, to mathematicians, scientists, engineers. It does not pretend to make the subject easy by glossing over difficulties, but rather tries to help the genuinely interested reader by throwing light on the interconnections and purposes of the whole. Instead of obstructing the access to the wealth of facts by lengthy discussions of a fundamental nature we have sometimes postponed such discussions to appendices in the various chapters. Numerous examples and problems are given at the end of various chapters. Some are challenging, some are even difficult; most of them supplement the material in the text. In an additional pamphlet more problems and exercises of a routine character will be collected, and moreover, answers or hints for the solutions will be given. This first volume of concerned primarily with functions of a single variable, whereas the second volume will discuss the more ramified theories of calculus (…).

A First Course in Analysis

Posted By: AvaxGenius
A First Course in Analysis

A First Course in Analysis by George Pedrick
English | PDF | 1994 | 293 Pages | ISBN : 0387941088 | 28.1 MB

The first course in Analysis, which follows calculus, along with other courses, such as differential equations and elementary linear algebra, in the curricu­ lum, presents special pedagogical challenges. There is a change of stress from computational manipulation to "proof. " Indeed, the course can become more a course in Logic than one in Analysis. Many students, caught short by a weak command of the means of mathematical discourse and unsure of what is expected of them, what "the game" is, suffer bouts of a kind of mental paralysis.