Description

Book Synopsis
Mathematics education in schools has seen a revolution in recent years. Students everywhere expect the subject to be well-motivated, relevant and practical. When such students reach higher education the traditional development of analysis, often rather divorced from the calculus which they learnt at school, seems highly inappropriate. Shouldn't every step in a first course in analysis arise naturally from the student's experience of functions and calculus at school? And shouldn't such a course take every opportunity to endorse and extend the student's basic knowledge of functions? In Yet Another Introduction to Analysis the author steers a simple and well-motivated path through the central ideas of real analysis. Each concept is introduced only after its need has become clear and after it has already been used informally. Wherever appropriate the new ideas are related to school topics and are used to extend the reader's understanding of those topics. A first course in analysis at colle

Trade Review
"Bryant's style is extremely leisurely, copiously illustrated, often intuitively appealing, chatty and unintimidating, in contrast to other treatments of similar material..." Choice

Table of Contents
Preface; 1. Firm foundations; 2. Gradually getting there; 3. A functional approach; 4. Calculus at last!; 5. An integrated conclusion; Solutions to exercises; Index.

Yet Another Introduction to Analysis

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    A Paperback by Victor Bryant

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      Book details

      Publisher Cambridge University Press
      Published 6/28/1990 12:00:00 AM
      ISBN-13 9780521388351
      978-0521388351
      ISBN-10 052138835X
      Also in:
      Calculus and mathematical analysis

      Description

      Book Synopsis
      Mathematics education in schools has seen a revolution in recent years. Students everywhere expect the subject to be well-motivated, relevant and practical. When such students reach higher education the traditional development of analysis, often rather divorced from the calculus which they learnt at school, seems highly inappropriate. Shouldn't every step in a first course in analysis arise naturally from the student's experience of functions and calculus at school? And shouldn't such a course take every opportunity to endorse and extend the student's basic knowledge of functions? In Yet Another Introduction to Analysis the author steers a simple and well-motivated path through the central ideas of real analysis. Each concept is introduced only after its need has become clear and after it has already been used informally. Wherever appropriate the new ideas are related to school topics and are used to extend the reader's understanding of those topics. A first course in analysis at colle

      Trade Review
      "Bryant's style is extremely leisurely, copiously illustrated, often intuitively appealing, chatty and unintimidating, in contrast to other treatments of similar material..." Choice

      Table of Contents
      Preface; 1. Firm foundations; 2. Gradually getting there; 3. A functional approach; 4. Calculus at last!; 5. An integrated conclusion; Solutions to exercises; Index.

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