Advanced Search Request a Book

ORDERS

Readings Orders 0

DEMANDS

Readings Demands 0

Real analysis (Second Edition): a Long-Form Mathematics Textbook
[Paperback - 2019]
jay cummings
Out of Stock
Availability in 4-6 weeks on receipt of order
List Price: $25
Our Price: Rs.8630
Category: Science
Sub-category: Mathematics
Publisher: Independently Published | ISBN: 9781077254541 | Pages: 450
Shipping Weight: 1.130 | Dimensions: null
Notify

Description

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.

About the Author

Jay Cummings believes that learning math has become far too expensive, and is striving to write textbooks which are enjoyable to read, highlight the beauty in mathematics, and are significantly more affordable than the others on the market. After receiving his PhD from UC San Diego under Ron Graham, he joined the faculty at California State University, Sacramento. His combinatorics research continues and he particularly enjoys involving students in his work. He is passionate about his teaching and enjoys designing new courses.

Bestsellers in Science

View All
A Brief History Of Time
[Paperback - 1989]
stephen hawking
In Stock
List Price: £8.99
Our Price: Rs.1895 Rs.1705
Standard Discount: 10%
You Save: Rs.190
The Emperor Of All Maladies: A Biography Of Cancer
[Paperback - 2011]
siddhartha mukherjee
In Stock
List Price: £12.99
Our Price: Rs.2795 Rs.2515
Standard Discount: 10%
You Save: Rs.280
Guns, Germs And Steel: A Short History Of Everybody For The Last 13,000 Years (Winner Of The Pulitzer Prize For Non Fiction 1998)
[Paperback - 2005]
jared diamond
In Stock
List Price: £12.99
Our Price: Rs.2995 Rs.2695
Standard Discount: 10%
You Save: Rs.300
A Short History Of Nearly Everything: A Journey Through Space And Time
[Paperback - 2016]
bill bryson
In Stock
List Price: £12.99
Our Price: Rs.3095 Rs.2785
Standard Discount: 10%
You Save: Rs.310
The God Delusion (10th Anniversary Edition)
[Paperback - 2016]
richard dawkins
In Stock
List Price: £10.99
Our Price: Rs.2575 Rs.2317
Standard Discount: 10%
You Save: Rs.258
The Shallows: How The Internet Is Changing The Way We Think, Read And Remember
[Paperback - 2020]
nicholas carr
On Demand
Availability in 2-4 weeks on receipt of order
List Price: £10.99
Our Price: Rs.2845 Rs.2418
Standard Discount: 15%
You Save: Rs.427
Lifespan: The Revolutionary Science Of Why We Ageand Why We Don't Have To
[Paperback - 2019]
david sinclair
In Stock
List Price: £16.99
Our Price: Rs.3845 Rs.3460
Standard Discount: 10%
You Save: Rs.385
The Descent Of Man
[Paperback - 2004]
charles darwin
In Stock
List Price: £14.99
Our Price: Rs.2645 Rs.2380
Standard Discount: 10%
You Save: Rs.265
The Order Of Time
[Paperback - 2019]
carlo rovelli
Out of Stock
Availability in 2-4 weeks on receipt of order
List Price: £10.99
Our Price: Rs.2345 Rs.2110
Standard Discount: 10%
You Save: Rs.235
You Are The Placebo: Making Your Mind Matter
[Paperback - 2014]
joe dispenza
On Demand
Availability in 2-4 weeks on receipt of order
List Price: £16.99
Our Price: Rs.5945 Rs.5053
Standard Discount: 15%
You Save: Rs.892
Becoming Supernatural
[Paperback - 2019]
joe dispenza
On Demand
Availability in 2-4 weeks on receipt of order
List Price: £15.99
Our Price: Rs.5645 Rs.4798
Standard Discount: 15%
You Save: Rs.847
Surely You're Joking Mr. Feynman: Adventures Of A Curious Character As Told To Ralph Leighton
[Paperback - 1992]
richard p. feynman
In Stock
List Price: £10.99
Our Price: Rs.2395 Rs.2155
Standard Discount: 10%
You Save: Rs.240