Convergent Sequences Subsequences Cauchy Sequences Upper and Lower Limits Some Special Sequences Series Series of Nonnegative Terms The Number e The Root and Ratio Tests Power Series Summation by Parts Absolute Convergence Addition and Multiplication of Series Rearrangements Exercises
Chapter 4: Continuity
Limits of Functions Continuous Functions Continuity and Compactness Continuity and Connectedness Discontinuities Monotonic Functions Infinite Limits and Limits at Infinity Exercises
Chapter 5: Differentiation
The Derivative of a Real Function Mean Value Theorems The Continuity of Derivatives L'Hospital's Rule Derivatives of Higher-Order Taylor's Theorem Differentiation of Vector-valued Functions Exercises
Chapter 6: The Riemann-Stieltjes Integral
Definition and Existence of the Integral Properties of the Integral Integration and Differentiation Integration of Vector-valued Functions Rectifiable Curves Exercises
Chapter 7: Sequences and Series of Functions
Discussion of Main Problem Uniform Convergence Uniform Convergence and Continuity Uniform Convergence and Integration Uniform Convergence and Differentiation Equicontinuous Families of Functions The Stone-Weierstrass Theorem Exercises
Chapter 8: Some Special Functions
Power Series The Exponential and Logarithmic Functions The Trigonometric Functions The Algebraic Completeness of the Complex Field Fourier Series The Gamma Function Exercises
Chapter 9: Functions of Several Variables
Linear Transformations Differentiation The Contraction Principle The Inverse Function Theorem The Implicit Function Theorem The Rank Theorem Determinants Derivatives of Higher Order Differentiation of Integrals Exercises
Chapter 10: Integration of Differential Forms
Integration Primitive Mappings Partitions of Unity Change of Variables Differential Forms Simplexes and Chains Stokes' Theorem Closed Forms and Exact Forms Vector Analysis Exercises
Chapter 11: The Lebesgue Theory
Set Functions Construction of the Lebesgue Measure Measure Spaces Measurable Functions Simple Functions Integration Comparison with the Riemann Integral Integration of Complex Functions Functions of Class L² Exercises
Free Shipping Get Free Shipping on orders over $25 (not including Rental and Marketplace). Order arrives in 5-10 business days.
Need it faster? We offer fast, flat-rate expedited shipping options.
Not the right book for you? We'll gladly take it back within 30 days.
To return an eTextbook:
Your eTextbook is non-returnable once it's been activated. You must contact us about returning your eTextbook before you activate it.
Returns are accepted within 30 days of the purchase date on your order confirmation.
This book qualifies for guaranteed cash back! Buy it now for , then:
Sell it back by:
Guaranteed cash back:
Cost of this book after cash back:
Take advantage of Guaranteed Cash Back. Send your book to us in good condition before the end of the buyback period, we'll send YOU a check, and you'll pay less for your textbooks!
If you find this book for less on Amazon.com (direct from Amazon, not marketplace sellers), we'll match it.
In our warehouse, waiting to ship directly to you.
We hand-inspect every used textbook to make sure it's in good condition.
Buy it now. Sell it later!
Sell this textbook for cash!
When you're done with this book, sell it back to Textbooks.com. In addition to the best possible buyback price, you'll get an extra 10% cash back just for being a customer.
We buy good-condition used textbooks year 'round, 24/7. No matter where you bought it, Textbooks.com will buy your textbooks for the most cash.
We hand-inspect every one of our used textbooks to ensure good condition.
Our used textbooks do NOT have:
Missing or torn pages
Missing or torn cover
Torn or damaged binding
A broken spine
This textbook has never been used.
Due to the size of eTextbooks, a high-speed internet connection (cable modem, DSL, LAN) is required for download stability and speed. Your connection can be wired or wireless.
Being online is not required for reading an eTextbook after successfully downloading it. You must only be connected to the Internet duringthe download process.
XP or Windows 7 (32 or 64 running in 32 bit mode), or Mac OS 10.6 or above
At least 512 MB RAM, 600 mHZ processor, and 40 MB of hard drive space (75MB for Mac OS)
What is the Marketplace? It's another way for you to get the right price on the books you need. We approved every Marketplace vendor to sell their books on Textbooks.com, so you know they're all reliable.
What are Marketplace shipping options? Marketplace items do not qualify for free shipping. When ordering from the Marketplace, please specify whether you want the seller to send your book Standard ($3.99/item) or Express ($6.99/item). To get free shipping over $25, just order directly from Textbooks.com instead of through the Marketplace.
FREE UPS 2nd Day Air Terms
Rental and Marketplace items are excluded. Offer is valid from 1/21/2013 12:00PM to 1/23/2013 11:59AM CST. Your order must be placed by 12 Noon CST to be processed on the same day. Minimum order value is $100.00 excluding Rental and Marketplace items. To redeem this offer, select "FREE UPS 2ND DAY AIR" at checkout. Offer not is not valid on previous orders.