Softcover ISBN:  9780821820513 
Product Code:  STML/12 
List Price:  $59.00 
Individual Price:  $47.20 
eBook ISBN:  9781470418212 
Product Code:  STML/12.E 
List Price:  $49.00 
Individual Price:  $39.20 
Softcover ISBN:  9780821820513 
eBook: ISBN:  9781470418212 
Product Code:  STML/12.B 
List Price:  $108.00 $83.50 
Softcover ISBN:  9780821820513 
Product Code:  STML/12 
List Price:  $59.00 
Individual Price:  $47.20 
eBook ISBN:  9781470418212 
Product Code:  STML/12.E 
List Price:  $49.00 
Individual Price:  $39.20 
Softcover ISBN:  9780821820513 
eBook ISBN:  9781470418212 
Product Code:  STML/12.B 
List Price:  $108.00 $83.50 

Book DetailsStudent Mathematical LibraryVolume: 12; 2001; 398 ppMSC: Primary 00; Secondary 26
We learn by doing. We learn mathematics by doing problems. And we learn more mathematics by doing more problems. This is the sequel to Problems in Mathematical Analysis I (Volume 4 in the Student Mathematical Library series). If you want to hone your understanding of continuous and differentiable functions, this book contains hundreds of problems to help you do so. The emphasis here is on real functions of a single variable. Topics include: continuous functions, the intermediate value property, uniform continuity, mean value theorems, Taylors formula, convex functions, sequences and series of functions.
The book is mainly geared toward students studying the basic principles of analysis. However, given its selection of problems, organization, and level, it would be an ideal choice for tutorial or problemsolving seminars, particularly those geared toward the Putnam exam. It is also suitable for selfstudy. The presentation of the material is designed to help student comprehension, to encourage them to ask their own questions, and to start research. The collection of problems will also help teachers who wish to incorporate problems into their lectures. The problems are grouped into sections according to the methods of solution. Solutions for the problems are provided.
This is the sequel to Problems in Mathematical Analysis I (Volume 4 in the Student Mathematical Library series). Also available from the AMS is Problems in Analysis III.
ReadershipUndergraduates, graduate students, and instructors interested in analysis.

Table of Contents

Problems

Chapter 1. Limits and continuity

Chapter 2. Differentiation

Chapter 3. Sequences and series of functions

Solutions

Chapter 1. Limits and continuity

Chapter 2. Differentiation

Chapter 3. Sequences and series of functions


Additional Material

Reviews

As with the first volume, the book is of great help for problem seminars and also for selfstudy ... The book can be recommended for libraries and for students.
European Mathematical Society Newsletter 
A very stimulating problem book ... The style ... is proven to be a motivating approach in constructing and conveying mathematical knowledge ... leads the readers to find new solutions and hence boosts their ability to carry out further research ... thorough coverage of some topics that are covered very briefly in other compatible books ... of interest to anyone who wishes to pursue research in mathematical analysis and its applications ... also excellent for students who want to enhance their skills in real analysis ... a useful supplement to any graduate textbook in mathematical analysis ... some problems are also suitable for undergraduate students.
MAA Online


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 Book Details
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We learn by doing. We learn mathematics by doing problems. And we learn more mathematics by doing more problems. This is the sequel to Problems in Mathematical Analysis I (Volume 4 in the Student Mathematical Library series). If you want to hone your understanding of continuous and differentiable functions, this book contains hundreds of problems to help you do so. The emphasis here is on real functions of a single variable. Topics include: continuous functions, the intermediate value property, uniform continuity, mean value theorems, Taylors formula, convex functions, sequences and series of functions.
The book is mainly geared toward students studying the basic principles of analysis. However, given its selection of problems, organization, and level, it would be an ideal choice for tutorial or problemsolving seminars, particularly those geared toward the Putnam exam. It is also suitable for selfstudy. The presentation of the material is designed to help student comprehension, to encourage them to ask their own questions, and to start research. The collection of problems will also help teachers who wish to incorporate problems into their lectures. The problems are grouped into sections according to the methods of solution. Solutions for the problems are provided.
This is the sequel to Problems in Mathematical Analysis I (Volume 4 in the Student Mathematical Library series). Also available from the AMS is Problems in Analysis III.
Undergraduates, graduate students, and instructors interested in analysis.

Problems

Chapter 1. Limits and continuity

Chapter 2. Differentiation

Chapter 3. Sequences and series of functions

Solutions

Chapter 1. Limits and continuity

Chapter 2. Differentiation

Chapter 3. Sequences and series of functions

As with the first volume, the book is of great help for problem seminars and also for selfstudy ... The book can be recommended for libraries and for students.
European Mathematical Society Newsletter 
A very stimulating problem book ... The style ... is proven to be a motivating approach in constructing and conveying mathematical knowledge ... leads the readers to find new solutions and hence boosts their ability to carry out further research ... thorough coverage of some topics that are covered very briefly in other compatible books ... of interest to anyone who wishes to pursue research in mathematical analysis and its applications ... also excellent for students who want to enhance their skills in real analysis ... a useful supplement to any graduate textbook in mathematical analysis ... some problems are also suitable for undergraduate students.
MAA Online