Yet Another Introduction to Analysis

Victor Bryant

ISBN 10: 052138835X / ISBN 13: 9780521388351

Published by Cambridge University Press, GB, 1990

About this Item

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 college is always regarded as one of the hardest in the curriculum. However, in this book the reader is led carefully through every step in such a way that he/she will soon be predicting the next step for him/herself. In this way the subject is developed naturally: students will end up not only understanding analysis, but also enjoying it.

Seller Inventory # LU-9780521388351

Bibliographic Details

• Title: Yet Another Introduction to Analysis
• Publisher: Cambridge University Press, GB
• Publication Date: 1990
• Language: English
• ISBN 10: 052138835X
• ISBN 13: 9780521388351
• Binding: Paperback
• Edition: 1st.
• Condition: New
• Dimensions: 15.19W x 1.91H x 22.81D centimeters 15.19 centimeters width by 1.91 centimeters height by 22.81 centimeters depth
• Weight: 440 grams

About this title

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 divorced from the calculus they learned 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 in 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, new ideas are related to common topics in math curricula and are used to extend the reader's understanding of those topics. In this book the readers are led carefully through every step in such a way that they will soon be predicting the next step for themselves. In this way students will not only understand analysis, but also enjoy it.

From the Back Cover

Mathematics education in schools has seen a revolution in recent years. In this book, 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.