First Course in Real Analysis
Edition: 2nd 1991 (Revised)
List price: $74.95
Buy it from $9.67
Rent it from $34.07
This item qualifies for FREE shipping
*A minimum purchase of $35 is required. Shipping is provided via FedEx SmartPost® and FedEx Express Saver®. Average delivery time is 1 – 5 business days, but is not guaranteed in that timeframe. Also allow 1 - 2 days for processing. Free shipping is eligible only in the continental United States and excludes Hawaii, Alaska and Puerto Rico. FedEx service marks used by permission."Marketplace" orders are not eligible for free or discounted shipping.
30 day, 100% satisfaction guarantee
If an item you ordered from TextbookRush does not meet your expectations due to an error on our part, simply fill out a return request and then return it by mail within 30 days of ordering it for a full refund of item cost.
Learn more about our returns policy
Rush Rewards U
You have reached 400 XP and carrot coins. That is the daily max!
This book is designed for a first course in real analysis following the standard course in elementary calculus. Since many students encounter rigorous mathematical theory for the first time in this course, the authors have included such elementary topics as the axioms of algebra and their immediate consequences as well as proofs of the basic theorems on limits. The pace is deliberate, and the proofs are detailed. The emphasis of the presentation is on theory, but the book also contains a full treatment (with many illustrative examples and exercises) of the standard topics in infinite series, Fourier series, multidimensional calculus, elements of metric spaces, and vector field theory. There are many exercises that enable the student to learn the techniques of proofs and the standard tools of analysis.In this second edition, improvements have been made in the exposition, and many of the proofs have been simplified. Additionally, this new edition includes an assortment of new exercises and provides answers for the odd-numbered problems.
List price: $74.95
Copyright year: 1991
Publication date: 3/7/1997
Size: 6.50" wide x 9.75" long x 1.25" tall
|The Real Number System|
|Continuity and Limits|
|Basic Properties of Functions on R|
|Elementary Theory of Differentiation|
|Elementary Theory of Integration|
|Elementary Theory of Metric Spaces|
|Differentiation in R|
|Integration in R|
|Infinite Sequences and Infinite Series|
|Functions Defined by Integrals; Improper Integrals|
|The Riemann-Stieltjes Integral and Functions of Bounded Variation|
|Contraction Mappings, Newton's Method, and Differential Equations|
|Implicit Function Theorems and Lagrange Multipliers|
|Functions on Metric Spaces; Approximation|
|Vector Field Theory; the Theorems of Green and Stokes|