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Mathematical Analysis

Functions of One Variable

  • Mariano Giaquinta
  • Giuseppe Modica

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Mariano Giaquinta, Giuseppe Modica
    Pages 1-63
  3. Mariano Giaquinta, Giuseppe Modica
    Pages 65-92
  4. Mariano Giaquinta, Giuseppe Modica
    Pages 93-144
  5. Mariano Giaquinta, Giuseppe Modica
    Pages 145-206
  6. Mariano Giaquinta, Giuseppe Modica
    Pages 207-259
  7. Mariano Giaquinta, Giuseppe Modica
    Pages 261-340
  8. Back Matter
    Pages 341-353

About this book

Introduction

For more than two thousand years some familiarity with mathematics has been regarded as an indispensable part of the intellectual equipment of every cultured person. Today the traditional place of mathematics in education is in grave danger. Unfortunately, professional representatives of mathematics share in the reponsibiIity. The teaching of mathematics has sometimes degen­ erated into empty drill in problem solving, which may develop formal ability but does not lead to real understanding or to greater intellectual indepen­ dence. Mathematical research has shown a tendency toward overspecialization and over-emphasis on abstraction. Applications and connections with other fields have been neglected . . . But . . . understanding of mathematics cannot be transmitted by painless entertainment any more than education in music can be brought by the most brilliant journalism to those who never have lis­ tened intensively. Actual contact with the content of living mathematics is necessary. Nevertheless technicalities and detours should be avoided, and the presentation of mathematics should be just as free from emphasis on routine as from forbidding dogmatism which refuses to disclose motive or goal and which is an unfair obstacle to honest effort. (From the preface to the first edition of What is Mathematics? by Richard Courant and Herbert Robbins, 1941.

Keywords

Complex analysis Derivative Fundamental theorem of calculus Minimum applications of mathematics calculus differential equation logarithm one variable optimization ordinary differential equations real functions

Authors and affiliations

  • Mariano Giaquinta
    • 1
  • Giuseppe Modica
    • 2
  1. 1.Scuola Normale SuperiorePisaItaly
  2. 2.Facoltà di IngegneriaUniversità degli Studi di FirenzeFirenzeItaly

Bibliographic information