Calculus III Essentials
Published on 1. January 2013
99 pages
978-0-7386-7139-0 (ISBN)
Description
REA's Essentials provide quick and easy access to critical information in a variety of different fields, ranging from the most basic to the most advanced. As its name implies, these concise, comprehensive study guides summarize the essentials of the field covered. Essentials are helpful when preparing for exams, doing homework and will remain a lasting reference source for students, teachers, and professionals. Calculus III includes vector analysis, real valued functions, partial differentiation, multiple integrations, vector fields, and infinite series.
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Other editions
Additional editions
Editors of Rea
Calculus: v.3
Book
09/1987
Research & Education Association,U.S.
€26.14
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Content
- Intro
- These "Little Books" have rescued lots of grades and more!
- Title Page
- Copyright Page
- What REA's Essentials® Will Do for You
- Table of Contents
- CHAPTER 1 - VECTOR ANALYSIS
- 1.1 TWO DIMENSIONAL VECTORS
- 1.2 THREE DIMENSIONAL VECTORS
- 1.3 VECTOR MULTIPLICATION
- 1.4 LIMITS AND CONTINUITY
- 1.5 DIFFERENTIATION - (VELOCITY, ACCELERATION AND ARC LENGTH)
- 1.6 CURVATURES, TANGENTIAL AND NORMAL COMPONENTS
- 1.7 KEPLER'S LAWS
- CHAPTER 2 - REAL VALUED FUNCTIONS
- 2.1 OPENED AND CLOSED SETS
- 2.2 LIMITS AND CONTINUITY
- 2.3 GRAPHING
- 2.4 QUADRIC SURFACES
- CHAPTER 3 - PARTIAL DIFFERENTIATION
- 3.1 LIMITS AND CONTINUITY
- 3.2 PARTIAL DERIVATIVES
- 3.3 INCREMENTS AND DIFFERENTIALS
- 3.4 APPLICATION OF THE CHAIN RULE
- 3.5 DIRECTIONAL DERIVATIVE AND GRADIENTS
- 3.6 TANGENT PLANES
- 3.7 TOTAL DIFFERENTIAL
- 3.8 TAYLOR'S THEOREM WITH REMAINDER
- 3.9 MAXIMA AND MINIMA
- 3.10 LAGRANGE MULTIPLIERS
- 3.11 EXACT DIFFERENTIALS
- CHAPTER 4 - MULTIPLE INTEGRATION
- 4.1 DOUBLE INTEGRALS: ITERATED INTEGRALS
- 4.2 AREA AND VOLUME
- 4.3 MOMENT OF INERTIA AND CENTER OF MASS
- 4.4 POLAR COORDINATES
- 4.5 THE TRIPLE INTEGRALS
- 4.6 CYLINDRICAL AND SPHERICAL COORDINATES OF TRIPLE INTEGRALS
- 4.7 SURFACE AREA A
- 4.8 IMPROPER INTEGRALS
- CHAPTER 5 - VECTOR FIELDS
- 5.1 VECTOR FIELDS
- 5.2 LINE INTEGRALS
- 5.3 INDEPENDENCE OF PATH
- 5.4 GREEN'S THEOREM
- 5.5 DIVERGENCE AND CURL
- CHAPTER 6 - INFINITE SERIES
- 6.1 INDETERMINATE FORMS
- 6.2 INFINITE SEQUENCE
- 6.3 CONVERGENT AND DIVERGENT SERIES
- 6.4 POSITIVE TERM SERIES
- 6.5 ALTERNATING SERIES: ABSOLUTE AND CONDITIONAL CONVERGENCE
- 6.6 POWER SERIES
- 6.7 TAYLOR SERIES
- These "Little Books" have rescued lots of grades and more!
