Advanced Calculus

ISBN-10: 0130652652

ISBN-13: 9780130652652

Edition: 2002

List price: $117.80
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


This book presents a unified view of calculus in which theory and practice reinforces each other. It is about the theory and applications of derivatives (mostly partial), integrals, (mostly multiple or improper), and infinite series (mostly of functions rather than of numbers), at a deeper level than is found in the standard calculus books. Chapter topics cover: Setting the Stage, Differential Calculus, The Implicit Function Theorem and Its Applications, Integral Calculus, Line and Surface IntegralsVector Analysis, Infinite Series, Functions Defined by Series and Integrals, and Fourier Series. For individuals with a sound knowledge of the mechanics of one-variable calculus and an acquaintance with linear algebra.
what's this?
Rush Rewards U
Members Receive:
You have reached 400 XP and carrot coins. That is the daily max!
Study Briefs

Limited time offer: Get the first one free! (?)

All the information you need in one place! Each Study Brief is a summary of one specific subject; facts, figures, and explanations to help you learn faster.

Add to cart
Study Briefs
Italian Grammar Online content $4.95 $1.99
Add to cart
Study Briefs
Portuguese Grammar Online content $4.95 $1.99
Add to cart
Study Briefs
Spanish Grammar Online content $4.95 $1.99
Add to cart
Study Briefs
German Grammar Online content $4.95 $1.99
Customers also bought

Book details

List price: $117.80
Copyright year: 2002
Publisher: Prentice Hall PTR
Publication date: 12/21/2001
Binding: Paperback
Pages: 480
Size: 7.25" wide x 9.25" long x 1.00" tall
Weight: 1.892
Language: English

Setting the Stage
Euclidean Spaces and Vectors
Subsets of Euclidean Space
Limits and Continuity
Uniform Continuity
Differential Calculus
Differentiability in One Variable
Differentiability in Several Variables
The Chain Rule
The Mean Value Theorem
Functional Relations and Implicit Functions: A First Look
Higher-Order Partial Derivatives
Taylor's Theorem
Critical Points
Extreme Value Problems
Vector-Valued Functions and Their Derivatives
The Implicit Function Theorem and Its Applications
The Implicit Function Theorem
Curves in the Plane
Surfaces and Curves in Space
Transformations and Coordinate Systems
Functional Dependence
Integral Calculus
Integration on the Line
Integration in Higher Dimensions
Multiple Integrals and Iterated Integrals
Change of Variables for Multiple Integrals
Functions Defined by Integrals
Improper Integrals
Improper Multiple Integrals
Lebesgue Measure and the Lebesgue Integral
Line and Surface Integrals; Vector Analysis
Arc Length and Line Integrals
Green's Theorem
Surface Area and Surface Integrals
Vector Derivatives
The Divergence Theorem
Some applications to Physics
Stokes's Theorem
Integrating Vector Derivatives
Higher Dimensions and Differential Forms
Infinite Series
Definitions and Examples
Series with Nonnegative Terms
Absolute and Conditional Convergence
More Convergence Tests
Double Series; Products of Series
Functions Defined by Series and Integrals
Sequences and Series of Functions
Integrals and Derivatives of Sequences and Series
Power Series
The Complex Exponential and Trig Functions
Functions Defined by Improper Integrals
The Gamma Function
Stirling's Formula
Fourier Series
Periodic Functions and Fourier Series
Convergence of Fourier Series
Derivatives, Integrals, and Uniform Convergence
Fourier Series on Intervals
Applications to Differential Equations
The Infinite-Dimensional Geometry of Fourier Series
The Isoperimetric Inequality
Summary of Linear Algebra
Linear Maps and Matrices
Row Operations and Echelon Forms
Linear Independence
Subspaces; Dimension; Rank
Eigenvectors and Eigenvalues
Some Technical Proofs
The Heine-Borel Theorem
The Implicit Function Theorem
Approximation by Riemann Sums
Double Integrals and Iterated Integrals
Change of Variables for Multiple Integrals
Improper Multiple Integrals
Green's Theorem and the Divergence Theorem
Answers to Selected Exercises
Free shipping on orders over $35*

*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.

Learn more about the TextbookRush Marketplace.