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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 
Peter Henrici 
Applied and computational complex analysis. Vol. 2: Special functionsintegral transforms, asymptotics, continued fractions 
007546 
1977 
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 
On Shelf 



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