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Author  Title  Accn#  Year  Item Type  Claims 
1 
David Applebaum 
Limits, limits everywhere: The Tools of Mathematical Analysis 
024638 
2012 
Book 

2 
Hongwei Chen 
Excursions in classical analysis: Pathways to advanced problem solving and undergraduate research 
024078 
2010 
Book 

3 
BRANNAN, DAVID ALEXANDER 
First course in mathematical analysis 
021066 
2006 
Book 

4 
Peter Walker 
Examples and theorems in analysis 
020194 
2004 
Book 

5 
Vladimir A. Zorich 
Mathematical analysis I 
019918 
2004 
Book 

6 
Vladimir A. Zorich 
Mathematical analysis II 
019919 
2004 
Book 

7 
T. J. I. Bromwich 
Introduction to the theory of infinite series 
019406 
1926 
Book 

8 
E.T. Whittaker 
Course of modern analysis: An introduction to the general theory of infinite processes and of analytic functions; with an accoun 
008685 
1947 
Book 

9 
Konrad Knopp 
Theory and application of infinite series 
004136 
1990 
Book 

10 
Chiang C. Mei 
Mathematical analysis in engineering: How to use the basic tools 
012604 
1995 
Book 


1.


Title  Limits, limits everywhere: The Tools of Mathematical Analysis 
Author(s)  David Applebaum 
Publication  Oxford, Oxford University Press, 2012. 
Description  xv, 200p. 
Abstract Note  A quantity can be made smaller and smaller without it ever vanishing. This fact has profound consequences for science, technology, and even the way we think about numbers. In this book, we will explore this idea by moving at an easy pace through an account of elementary real analysis and, in particular, will focus on numbers, sequences, and series.
Almost all textbooks on introductory analysis assume some background in calculus. This book doesn't and, instead, the emphasis is on the application of analysis to number theory. The book is split into two parts. Part 1 follows a standard university course on analysis and each chapter closes with a set of exercises. Here, numbers, inequalities, convergence of sequences, and infinite series are all covered. Part 2 contains a selection of more unusual topics that aren't usually found in books of this type. It includes proofs of the irrationality of e and pi, continued fractions, an introduction to the Riemann zeta function, Cantor's theory of the infinite, and Dedekind cuts. There is also a survey of what analysis can do for the calculus and a brief history of the subject. 
ISBN,Price  9780199640089 : UKP 19.99(PB) 
Classification  517

Keyword(s)  1. CONTINUED FRACTIONS
2. CONTOR THEORY
3. CONVERGENCE OF SEQUENCES
4. INEQUALITY
5. INFINITE SERIES
6. LIMIT
7. NUMBERS
8. RIEMANN ZETA FUNCTION

Item Type  Book 
Circulation Data
Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
024638 

APP/024638 
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2.


Title  Excursions in classical analysis: Pathways to advanced problem solving and undergraduate research 
Author(s)  Hongwei Chen 
Publication  Washington, Mathematical Association of America, 2010. 
Description  xiii, 301p. 
Abstract Note  Excursions in Classical Analysis will introduce students to advanced problem solving and undergraduate research in two ways: it will provide a tour of classical analysis, showcasing a wide variety of problems that are placed in historical context, and it will help students gain mastery of mathematical discovery and proof.
The author presents a variety of solutions for the problems in the book. Some solutions reach back to the work of mathematicians like Leonhard Euler while others connect to other beautiful parts of mathematics. Readers will frequently see problems solved by using an idea that might at first glance, not even seem to apply to that problem. Other solutions employ a specific technique that can be used to solve many different kinds of problems. Excursions emphasizes the rich and elegant interplay between continuous and discrete mathematics by applying induction, recursion, and combinatorics to traditional problems in classical analysis.
The carefully selected assortment of problems presented at the end of the chapters includes 22 Putnam problems, 50 MAA Monthly problems, and 14 open problems. These problems are not related to the chapter topics, but connect naturally to other problems and even serve as introductions to other areas of mathematics.
The book will be useful in students' preparations for mathematics competitions, in undergraduate reading courses and seminars, and in analysis courses as a supplement. The book is also ideal for self study, since the chapters are independent of one another and may be read in any order. 
ISBN,Price  9780883857687 : UKP 36.50(HB) 
Classification  517

Keyword(s)  1. ALALYSIS
2. COMBINATORICS
3. EXCURSION
4. INDUCTION
5. RECURSION

Item Type  Book 
Circulation Data
Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
024078 

517/CHE/024078 
On Shelf 



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