Limits, Limits Everywhere
The Tools of Mathematical Analysis
By (author) David Applebaum
Normal Price: $40.95
Your Price: $36.86 AUD, inc. GST
Shipping: $6.95 per order
You Save: $4.09! (10% off normal price)
Plus...earn $1.84 in Boomerang Bucks
Availability: Available, ships in 7-10 days
Limits, Limits Everywhere by David Applebaum
Book DescriptionA 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. A lot of material found in a standard university course on "real analysis" is covered and most of the mathematics is written in standard theorem-proof style. However, more details are given than is usually the case to help readers who find this style daunting. Both set theory and proof by induction are avoided in the interests of making the book accessible to a wider readership, but both of these topics are the subjects of appendices for those who are interested in them. And unlike most university texts at this level, topics that have featured in popular science books, such as the Riemann hypothesis, are introduced here. As a result, this book occupies a unique position between a popular mathematics book and a first year college or university text, and offers a relaxed introduction to a fascinating and important branch of mathematics.
Buy Limits, Limits Everywhere book by David Applebaum from Australia's Online Bookstore, Boomerang Books.
Book DetailsISBN: 9780199640089
Classification: Calculus & mathematical analysis
Format: Paperback (234mm x 153mm x 12mm)
Imprint: Oxford University Press
Publisher: Oxford University Press
Publish Date: 1-Mar-2012
Country of Publication: United Kingdom
You might also like...
5 Steps to a 5 AP Calculus BC by William Ma
Features a 5-step plan to guide your preparation program and help you build the skills, knowledge, and test-taking confidence of calculus BC. This title covers the course syllabus and provides model tests that reflect the version of the exam.
Solved Problems in Analysis by Orin J. Farrell
Nearly 200 problems, each with a detailed, worked-out solution, deal with the properties and applications of the gamma and beta functions, Legendre polynomials, and Bessel functions. 1971 edition.
Oxford Handbook of Functional Data Analysis by Frederic Ferraty
This Handbook aims to present a state of the art exploration of the high-tech field of functional data analysis, by gathering together most of major advances in this area.
Dynamic Optimization by Morton I. Kamien» View more books like these...
Since its initial publication, this text has defined courses in dynamic optimization taught to economics and management science students. The two-part treatment covers the calculus of variations and optimal control. 1991 edition.
» Have you read this book? We'd like to know what you think about it - write a review about Limits, Limits Everywhere book by David Applebaum and you'll earn 50c in Boomerang Bucks loyalty dollars (you must be a member - it's free to sign up!)
Author Biography - David Applebaum
David Applebaum obtained his PhD at the University of Nottingham in 1984. After postdoctoral appointments in Rome and Nottingham, he became a lecturer in mathematics at Nottingham Trent University (then Trent Polytechnic) in 1987 and was promoted to reader in 1994 and to a chair in 1998. He was Head of Department 1998-2001. He left Nottingham Trent for a chair in Sheffield in 2004 and served as Head of Department of Probability and Statistics there from 2007-10.
Phone: 1300 36 33 32 (9am-5pm Mon-Fri AEST) - International: +61 2 9960 7998 - Online Form
© 2003-2014. All Rights Reserved. Eclipse Commerce Pty Ltd - ACN: 122 110 687 - ABN: 49 122 110 687
For every $20 you spend on books, you will receive $1 in Boomerang Bucks loyalty dollars. You can use your Boomerang Bucks as a credit towards a future purchase from Boomerang Books. Note that you must be a Member (free to sign up) and that conditions do apply.