Summer Reading Sale
 
 

Special Offers see all

Enter to WIN!

Weekly drawing for $100 credit. Subscribe to PowellsBooks.news for a chance to win.
Privacy Policy

More at Powell's


Recently Viewed clear list


The Powell's Playlist | June 18, 2014

Daniel H. Wilson: IMG The Powell’s Playlist: Daniel H. Wilson



Like many writers, I'm constantly haunting coffee shops with a laptop out and my headphones on. I listen to a lot of music while I write, and songs... Continue »

spacer
Qualifying orders ship free.
$87.75
New Hardcover
Ships in 1 to 3 days
Add to Wishlist
available for shipping or prepaid pickup only
Available for In-store Pickup
in 7 to 12 days
Qty Store Section
25 Remote Warehouse Mathematics- Calculus

This title in other editions

A First Course in Real Analysis (Undergraduate Texts in Mathematics)

by

A First Course in Real Analysis (Undergraduate Texts in Mathematics) Cover

 

Synopses & Reviews

Publisher Comments:

The book offers an initiation into mathematical reasoning, and into the mathematician's mind-set and reflexes. Specifically, the fundamental operations of calculus--differentiation and integration of functions and the summation of infinite series--are built, with logical continuity (i.e., "rigor"), starting from the real number system. The first chapter sets down precise axioms for the real number system, from which all else is derived using the logical tools summarized in an Appendix. The discussion of the "fundamental theorem of calculus," the focal point of the book, especially thorough. The concluding chapter establishes a significant beachhead in the theory of the Lebesgue integral by elementary means.

Table of Contents

1: Axioms for the Field (R) of Real Numbers. 2: First Properties of (R). 3: Sequences of Real Numbers, Convergence. 4: Special Subsets of (R). 5: Continuity. 6: Continuous Functions on an Interval. 7: Limits of Functions. 8: Derivatives. 9: Riemann Integral. 10: Infinite Series. 11: Beyond the Riemann Integral.

Product Details

ISBN:
9780387942179
Author:
Berberian, Sterling K.
Publisher:
Springer
Subject:
History
Subject:
Calculus
Subject:
Mathematical Analysis
Subject:
Numbers, Real
Subject:
Functional Analysis
Subject:
Real functions
Subject:
Mathematics-Calculus
Copyright:
Edition Number:
1
Edition Description:
1994. Corr. 2nd
Series:
Undergraduate Texts in Mathematics
Series Volume:
20
Publication Date:
19940624
Binding:
HARDCOVER
Language:
English
Illustrations:
Y
Pages:
251
Dimensions:
235 x 155 mm 549 gr

Other books you might like

  1. Linear Elastic Waves (Cambridge... New Trade Paper $63.25
  2. Graduate Texts in Mathematics #0154:... Used Hardcover $64.00
  3. Rarefied Gas Dynamics: From Basic... Sale Trade Paper $13.95
  4. Basic Elements of Real Analysis... Used Hardcover $57.00
  5. Mathematics and the search for knowledge Used Mass Market $5.95
  6. Linear Algebra: Introduction to... Used Hardcover $60.50

Related Subjects

Reference » Science Reference » General
Science and Mathematics » History of Science » General
Science and Mathematics » Mathematics » Analysis General
Science and Mathematics » Mathematics » Calculus » General
Science and Mathematics » Mathematics » General

A First Course in Real Analysis (Undergraduate Texts in Mathematics) New Hardcover
0 stars - 0 reviews
$87.75 In Stock
Product details 251 pages Springer - English 9780387942179 Reviews:
spacer
spacer
  • back to top
Follow us on...




Powell's City of Books is an independent bookstore in Portland, Oregon, that fills a whole city block with more than a million new, used, and out of print books. Shop those shelves — plus literally millions more books, DVDs, and gifts — here at Powells.com.