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Book Title
How to Think About Analysis
Publication Date
2014-09-25
ISBN
9780198723530

Über dieses Produkt

Product Identifiers

Publisher
Oxford University Press, Incorporated
ISBN-10
0198723539
ISBN-13
9780198723530
eBay Product ID (ePID)
204213655

Product Key Features

Number of Pages
272 Pages
Publication Name
How to Think about Analysis
Language
English
Publication Year
2014
Subject
General, Mathematical Analysis
Type
Textbook
Subject Area
Mathematics
Author
Lara Alcock
Format
Trade Paperback

Dimensions

Item Height
0.6 in
Item Weight
10.2 Oz
Item Length
7.7 in
Item Width
5.1 in

Additional Product Features

Intended Audience
Scholarly & Professional
LCCN
2014-935451
Reviews
"This book is an invaluable guide for any undergraduate student taking Analysis... It is written using a friendly and informal tone yet carefully emphasizes and demonstrates the importance of paying attention to the details. It is an excellent read and is highly recommended for anyone interested in Analysis or any area of pure mathematics." --MAA Reviews "This is a nice little book with an accurate title... Recommended." --Choice "How to Think about Analysis [is] a very effective and helpful book, a book which should be on every undergraduate reading list and should be available to potential mathematics undergraduates in schools." --Mathematics in School "How to Think about Analysis offers several insights into the best practices to use when studying upper-level mathematics. Not only are these insights helpful to students, but they could also prove helpful to teachers of earlier courses; modifying and incorporating some of these practices into earlier courses may better prepare their students for future mathematics coursework." --Mathematics Teacher, "This book is an invaluable guide for any undergraduate student taking Analysis... It is written using a friendly and informal tone yet carefully emphasizes and demonstrates the importance of paying attention to the details. It is an excellent read and is highly recommended for anyone interested in Analysis or any area of pure mathematics." --MAA Reviews"This is a nice little book with an accurate title... Recommended." --Choice"How to Think about Analysis [is] a very effective and helpful book, a book which should be on every undergraduate reading list and should be available to potential mathematics undergraduates in schools." --Mathematics in School"How to Think about Analysis offers several insights into the best practices to use when studying upper-level mathematics. Not only are these insights helpful to students, but they could also prove helpful to teachers of earlier courses; modifying and incorporating some of these practices into earlier courses may better prepare their students for future mathematics coursework." --Mathematics Teacher, "This book is an invaluable guide for any undergraduate student taking Analysis... It is written using a friendly and informal tone yet carefully emphasizes and demonstrates the importance of paying attention to the details. It is an excellent read and is highly recommended for anyone interested in Analysis or any area of pure mathematics." --MAA Reviews, "This book is an invaluable guide for any undergraduate student taking Analysis... It is written using a friendly and informal tone yet carefully emphasizes and demonstrates the importance of paying attention to the details. It is an excellent read and is highly recommended for anyone interested in Analysis or any area of pure mathematics." --MAA Reviews "This is a nice little book with an accurate title... Recommended." --Choice, "This book is an invaluable guide for any undergraduate student taking Analysis... It is written using a friendly and informal tone yet carefully emphasizes and demonstrates the importance of paying attention to the details. It is an excellent read and is highly recommended for anyone interested in Analysis or any area of pure mathematics." --MAA Reviews "This is a nice little book with an accurate title... Recommended." --Choice "How to Think about Analysis [is] a very effective and helpful book, a book which should be on every undergraduate reading list and should be available to potential mathematics undergraduates in schools." --Mathematics in School
Dewey Edition
23
Illustrated
Yes
Dewey Decimal
515
Table Of Content
Part 1: Studying Analysis1. What is Analysis like?2. Axioms, Definitions and Theorems3. Proofs4. Learning AnalysisPart 2: Concepts in Analysis5. Sequences6. Series7. Continuity8. Differentiability9. Integrability10. The Real Numbers
Synopsis
Analysis is a core subject in most undergraduate mathematics degrees. It is elegant, clever and rewarding to learn, but it is hard. Even the best students find it challenging, and those who are unprepared often find it incomprehensible at first. This book aims to ensure that no student need be unprepared., Analysis (sometimes called Real Analysis or Advanced Calculus) is a core subject in most undergraduate mathematics degrees. It is elegant, clever and rewarding to learn, but it is hard. Even the best students find it challenging, and those who are unprepared often find it incomprehensible at first. This book aims to ensure that no student need be unprepared. It is not like other Analysis books. It is not a textbook containing standard content. Rather, it is designed to be read before arriving at university and/or before starting an Analysis course, or as a companion text once a course is begun. It provides a friendly and readable introduction to the subject by building on the student's existing understanding of six key topics: sequences, series, continuity, differentiability, integrability and the real numbers. It explains how mathematicians develop and use sophisticated formal versions of these ideas, and provides a detailed introduction to the central definitions, theorems and proofs, pointing out typical areas of difficulty and confusion and explaining how to overcome these. The book also provides study advice focused on the skills that students need if they are to build on this introduction and learn successfully in their own Analysis courses: it explains how to understand definitions, theorems and proofs by relating them to examples and diagrams, how to think productively about proofs, and how theories are taught in lectures and books on advanced mathematics. It also offers practical guidance on strategies for effective study planning. The advice throughout is research based and is presented in an engaging style that will be accessible to students who are new to advanced abstract mathematics.
LC Classification Number
QA300

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