What do you think?
Rate this book
Yet Another Introduction to Analysis
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.
- GenresMathematics
300 pages, Paperback
First published June 28, 1990
5 people are currently reading
71 people want to read
Ratings & Reviews
Friends & Following
Create a free account to discover what your friends think of this book!
Community Reviews
Displaying 1 - 2 of 2 reviews
January 19, 2020
This book seems aimed at students who:
1. are already familiar with the techniques that are used in basic calculus processes
2. want to understand the fundamental concepts that led to those techniques
3. have the patience and interest to work through abstract mathematics theorems and proofs, and ultimately go through and link concepts together.
4. seek an introduction to analysis with very little presumed knowledge (of analysis itself; knowledge of the techniques of calculus, functions etc. are invaluable)
Dr Bryant uses simple language and provides MOTIVATION for the concepts he teaches. He explains WHY we even need to consider a concept before explaining the concept.
Good examples, and difficult, thought provoking exercises (With Answers!).
The language, though direct, and simpler compared to other books, could be simplified further in my opinion. And, I (personally only) think it would be helpful to have more steps and explanations involved in the proofs and examples.
But I appreciate that this is abstract mathematics, which might make it impossible to write a book that suits everybody.
1. are already familiar with the techniques that are used in basic calculus processes
2. want to understand the fundamental concepts that led to those techniques
3. have the patience and interest to work through abstract mathematics theorems and proofs, and ultimately go through and link concepts together.
4. seek an introduction to analysis with very little presumed knowledge (of analysis itself; knowledge of the techniques of calculus, functions etc. are invaluable)
Dr Bryant uses simple language and provides MOTIVATION for the concepts he teaches. He explains WHY we even need to consider a concept before explaining the concept.
Good examples, and difficult, thought provoking exercises (With Answers!).
The language, though direct, and simpler compared to other books, could be simplified further in my opinion. And, I (personally only) think it would be helpful to have more steps and explanations involved in the proofs and examples.
But I appreciate that this is abstract mathematics, which might make it impossible to write a book that suits everybody.
Read
March 17, 2012after glimpsing in Google Books
illustrative.
Basic.
Practical
illustrative.
Basic.
Practical
Displaying 1 - 2 of 2 reviews