# Limits, Limits Everywhere: The Tools of Mathematical Analysis

## David Applebaum

Valutazione media 3,6
( su 5 valutazioni fornite da Goodreads )

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 ?, 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.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

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.

Review:

"[H]elpful for college students..." --MAA Reviews

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Compra nuovo Guarda l'articolo
EUR 23,23

Spese di spedizione: GRATIS
Da: Regno Unito a: Italia

Destinazione, tempi e costi

Aggiungere al carrello

## 1.Limits, Limits Everywhere: The Tools of Mathematical Analysis (Paperback)

Editore: Oxford University Press, United Kingdom (2012)
ISBN 10: 0199640084 ISBN 13: 9780199640089
Nuovi Paperback Quantità: 10
Da
The Book Depository US
(London, Regno Unito)
Valutazione libreria

Descrizione libro Oxford University Press, United Kingdom, 2012. Paperback. Condizione libro: New. Language: English . Brand New Book. 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.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. Codice libro della libreria AOP9780199640089

Compra nuovo
EUR 23,23
Convertire valuta
Spese di spedizione: GRATIS
Da: Regno Unito a: Italia
Destinazione, tempi e costi

## 2.Limits, Limits Everywhere: The Tools of Mathematical Analysis (Paperback)

Editore: Oxford University Press, United Kingdom (2012)
ISBN 10: 0199640084 ISBN 13: 9780199640089
Nuovi Paperback Quantità: 10
Da
The Book Depository
(London, Regno Unito)
Valutazione libreria

Descrizione libro Oxford University Press, United Kingdom, 2012. Paperback. Condizione libro: New. Language: English . Brand New Book. 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.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. Codice libro della libreria AOP9780199640089

Compra nuovo
EUR 23,40
Convertire valuta
Spese di spedizione: GRATIS
Da: Regno Unito a: Italia
Destinazione, tempi e costi

## 3.Limits, Limits Everywhere: The Tools Of Mathematical Analysis

ISBN 10: 0199640084 ISBN 13: 9780199640089
Nuovi Quantità: > 20
Da
BWB
(Valley Stream, NY, U.S.A.)
Valutazione libreria

Descrizione libro Condizione libro: New. Depending on your location, this item may ship from the US or UK. Codice libro della libreria 97801996400890000000

Compra nuovo
EUR 25,01
Convertire valuta
Spese di spedizione: GRATIS
Da: U.S.A. a: Italia
Destinazione, tempi e costi

## 4.Limits, Limits Everywhere

Editore: OUP Oxford 2012-03-01, Oxford (2012)
ISBN 10: 0199640084 ISBN 13: 9780199640089
Nuovi paperback Quantità: 5
Da
Blackwell's
(Oxford, OX, Regno Unito)
Valutazione libreria

Descrizione libro OUP Oxford 2012-03-01, Oxford, 2012. paperback. Condizione libro: New. Codice libro della libreria 9780199640089

Compra nuovo
EUR 22,14
Convertire valuta
Spese di spedizione: EUR 4,47
Da: Regno Unito a: Italia
Destinazione, tempi e costi

## 5.Limits, Limits Everywhere: The Tools of Mathematical Analysis

Editore: Oxford University Press 2012-05-04 (2012)
ISBN 10: 0199640084 ISBN 13: 9780199640089
Nuovi Paperback Quantità: 8
Da
Ebooksweb COM LLC
(Bensalem, PA, U.S.A.)
Valutazione libreria

Descrizione libro Oxford University Press 2012-05-04, 2012. Paperback. Condizione libro: New. 1. 0199640084. Codice libro della libreria Z0199640084ZN

Compra nuovo
EUR 22,26
Convertire valuta
Spese di spedizione: EUR 5,11
Da: U.S.A. a: Italia
Destinazione, tempi e costi

## 6.Limits, Limits Everywhere: The Tools of Mathematical Analysis

Editore: Oxford University Press
ISBN 10: 0199640084 ISBN 13: 9780199640089
Nuovi PAPERBACK Quantità: 1
Da
Vital Products COM LLC
(southampton, PA, U.S.A.)
Valutazione libreria

Descrizione libro Oxford University Press. PAPERBACK. Condizione libro: New. 0199640084. Codice libro della libreria Z0199640084ZN

Compra nuovo
EUR 22,26
Convertire valuta
Spese di spedizione: EUR 5,11
Da: U.S.A. a: Italia
Destinazione, tempi e costi

## 7.Limits, Limits Everywhere: The Tools of Mathematical Analysis

Editore: Oxford University Press
ISBN 10: 0199640084 ISBN 13: 9780199640089
Nuovi PAPERBACK Quantità: 1
Da
Booklot COM LLC
Valutazione libreria

Descrizione libro Oxford University Press. PAPERBACK. Condizione libro: New. 0199640084. Codice libro della libreria Z0199640084ZN

Compra nuovo
EUR 22,26
Convertire valuta
Spese di spedizione: EUR 5,11
Da: U.S.A. a: Italia
Destinazione, tempi e costi

## 8.Limits, Limits Everywhere: The Tools of Mathematical Analysis

Editore: Oxford University Press
ISBN 10: 0199640084 ISBN 13: 9780199640089
Nuovi Paperback Quantità: 1
Da
THE SAINT BOOKSTORE
(Southport, Regno Unito)
Valutazione libreria

Descrizione libro Oxford University Press. Paperback. Condizione libro: new. BRAND NEW, Limits, Limits Everywhere: The Tools of Mathematical Analysis, David Applebaum, 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. 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. Codice libro della libreria B9780199640089

Compra nuovo
EUR 20,77
Convertire valuta
Spese di spedizione: EUR 6,65
Da: Regno Unito a: Italia
Destinazione, tempi e costi

## 9.Limits, Limits Everywhere

Editore: Oxford University Press (2012)
ISBN 10: 0199640084 ISBN 13: 9780199640089
Nuovi Brossura Prima edizione Quantità: 2
Valutazione libreria

Descrizione libro Oxford University Press, 2012. Condizione libro: New. 2012. 1st Edition. Paperback. An account of elementary real analysis positioned between a popular mathematics book and a first year college or university text. This book doesn't assume knowledge of calculus and, instead, the emphasis is on the application of analysis to number theory. Num Pages: 224 pages, 33 black and white line drawings. BIC Classification: PBK. Category: (G) General (US: Trade); (U) Tertiary Education (US: College). Dimension: 231 x 161 x 13. Weight in Grams: 338. . . . . . . Codice libro della libreria V9780199640089

Compra nuovo
EUR 29,60
Convertire valuta
Spese di spedizione: GRATIS
Da: Irlanda a: Italia
Destinazione, tempi e costi

## 10.Limits, Limits Everywhere

Editore: Oxford University Press
ISBN 10: 0199640084 ISBN 13: 9780199640089
Nuovi Brossura Quantità: 2
Da
Kennys Bookstore
(Olney, MD, U.S.A.)
Valutazione libreria

Descrizione libro Oxford University Press. Condizione libro: New. 2012. 1st Edition. Paperback. An account of elementary real analysis positioned between a popular mathematics book and a first year college or university text. This book doesn't assume knowledge of calculus and, instead, the emphasis is on the application of analysis to number theory. Num Pages: 224 pages, 33 black and white line drawings. BIC Classification: PBK. Category: (G) General (US: Trade); (U) Tertiary Education (US: College). Dimension: 231 x 161 x 13. Weight in Grams: 338. . . . . . Books ship from the US and Ireland. Codice libro della libreria V9780199640089

Compra nuovo
EUR 31,01
Convertire valuta
Spese di spedizione: GRATIS
Da: U.S.A. a: Italia
Destinazione, tempi e costi