Real Analysis: A Long-Form Mathematics Textbook (The Long-Form Math Textbook Ser

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eBay-Artikelnr.:397255652311

Artikelmerkmale

Artikelzustand
Neu: Neues, ungelesenes, ungebrauchtes Buch in makellosem Zustand ohne fehlende oder beschädigte ...
subject_code
PBK
target_audience
General/trade
is_adult_product
false
edition_number
2
binding
paperback
MPN
9781077254541
batteries_required
false
manufacturer
Independently published
Brand
Independently Published
series_title
The Long-Form Math Textbook Series
number_of_items
1
pages
449
genre
Mathematics
part_number
9781077254541
publication_date
2019-07-15T00:00:01Z
unspsc_code
55101500
batteries_included
false
ISBN
9781077254541
Kategorie

Über dieses Produkt

Product Identifiers

Publisher
Independently Published
ISBN-10
1077254547
ISBN-13
9781077254541
eBay Product ID (ePID)
27038759862

Product Key Features

Number of Pages
449 Pages
Language
English
Publication Name
Real Analysis : a Long-Form Mathematics Textbook
Publication Year
2019
Subject
General, Calculus
Type
Textbook
Subject Area
Mathematics
Author
Jay Cummings
Series
The Long-Form Math Textbook Ser.
Format
Trade Paperback

Dimensions

Item Height
1 in
Item Weight
44.9 Oz
Item Length
11 in
Item Width
8.5 in

Additional Product Features

Intended Audience
Trade
Dewey Edition
23
Illustrated
Yes
Dewey Decimal
515
Synopsis
This textbook is designed for students. Rather than the typical definition-theorem-proof-repeat style, this text includes much more commentary, motivation and explanation. The proofs are not terse, and aim for understanding over economy. Furthermore, dozens of proofs are preceded by "scratch work" or a proof sketch to give students a big-picture view and an explanation of how they would come up with it on their own. Examples often drive the narrative and challenge the intuition of the reader. The text also aims to make the ideas visible, and contains over 200 illustrations. The writing is relaxed and includes interesting historical notes, periodic attempts at humor, and occasional diversions into other interesting areas of mathematics. The text covers the real numbers, cardinality, sequences, series, the topology of the reals, continuity, differentiation, integration, and sequences and series of functions. Each chapter ends with exercises, and nearly all include some open questions. The first appendix contains a construction the reals, and the second is a collection of additional peculiar and pathological examples from analysis. The author believes most textbooks are extremely overpriced and endeavors to help change this.Hints and solutions to select exercises can be found at LongFormMath.com., This textbook is designed for students. Rather than the typical definition-theorem-proof-repeat style, this text includes much more commentary, motivation and explanation. The proofs are not terse, and aim for understanding over economy. Furthermore, dozens of proofs are preceded by "scratch work" or a proof sketch to give students a big-picture view and an explanation of how they would come up with it on their own. Examples often drive the narrative and challenge the intuition of the reader. The text also aims to make the ideas visible, and contains over 200 illustrations. The writing is relaxed and includes interesting historical notes, periodic attempts at humor, and occasional diversions into other interesting areas of mathematics. The text covers the real numbers, cardinality, sequences, series, the topology of the reals, continuity, differentiation, integration, and sequences and series of functions. Each chapter ends with exercises, and nearly all include some open questions. The first appendix contains a construction the reals, and the second is a collection of additional peculiar and pathological examples from analysis. The author believes most textbooks are extremely overpriced and endeavors to help change this.Hints and solutions to select exercises can be found at LongFormMath.com. This is the 2 + epsilon edition of this book. The second edition was published in July 2019. In January 2024, an epsilon of changes were made and the manuscript was updated, without officially creating a new edition.
LC Classification Number
QA303.2.C8 2019

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