Calculus Multivariable Early Transcendental Functions

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“Calculus Multivariable Early Transcendental FunctionsBook is in very good conditionSee picturesD2R”
ISBN
9780073309378
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Informazioni su questo prodotto

Product Identifiers

Publisher
McGraw-Hill Higher Education
ISBN-10
0073309370
ISBN-13
9780073309378
eBay Product ID (ePID)
63737896

Product Key Features

Number of Pages
560 Pages
Publication Name
Calculus, Multivariable : Early Transcendental Functions
Language
English
Subject
Calculus
Publication Year
2006
Type
Textbook
Author
Roland B. Minton, Robert T. Smith
Subject Area
Mathematics
Format
Hardcover

Dimensions

Item Height
1 in
Item Weight
45.5 Oz
Item Length
10.3 in
Item Width
8.5 in

Additional Product Features

Edition Number
3
Intended Audience
College Audience
LCCN
2005-030701
Dewey Edition
22
Illustrated
Yes
Dewey Decimal
515
Table Of Content
Chapter 0: Preliminaries 0.1 Polynomials and Rational Functions 0.2 Graphing Calculators and Computer Algebra Systems 0.3 Inverse Functions 0.4 Trigonometric and Inverse Trigonometric Functions 0.5 Exponential and Logarithmic Functions Hyperbolic Functions Fitting a Curve to Data 0.6 Transformations of Functions Chapter 1: Limits and Continuity 1.1 A First Look at Calculus 1.2 The Concept of Limit 1.3 Computation of Limits 1.4 Continuity and its Consequences The Method of Bisections 1.5 Limits Involving Infinity Asymptotes 1.6 Formal Definition of the Limit Exploring the Definition of Limit Graphically 1.7 Limits and Loss-of-Significance Errors Computer Representation of Real Numbers Chapter 2: Differentiation 2.1 Tangent Lines and Velocity 2.2 The Derivative Numerical Differentiation 2.3 Computation of Derivatives: The Power Rule Higher Order Derivatives Acceleration 2.4 The Product and Quotient Rules 2.5 The Chain Rule 2.6 Derivatives of the Trigonometric Functions 2.7 Derivatives of the Exponential and Logarithmic Functions 2.8 Implicit Differentiation and Inverse Trigonometric Functions 2.9 The Mean Value Theorem Chapter 3: Applications of Differentiation 3.1 Linear Approximations and Newton's Method 3.2 Indeterminate Forms and L'Hopital's Rule 3.3 Maximum and Minimum Values 3.4 Increasing and Decreasing Functions 3.5 Concavity and the Second Derivative Test 3.6 Overview of Curve Sketching 3.7 Optimization 3.8 Related Rates 3.9 Rates of Change in Economics and the Sciences Chapter 4: Integration 4.1 Antiderivatives 4.2 Sums and Sigma Notation Principle of Mathematical Induction 4.3 Area 4.4 The Definite Integral Average Value of a Function 4.5 The Fundamental Theorem of Calculus 4.6 Integration by Substitution 4.7 Numerical Integration Error Bounds for Numerical Integration 4.8 The Natural Logarithm as an Integral The Exponential Function as the Inverse of the Natural Logarithm Chapter 5: Applications of the Definite Integral 5.1 Area Between Curves 5.2 Volume: Slicing, Disks, and Washers 5.3 Volumes by Cylindrical Shells 5.4 Arc Length and Surface Area 5.5 Projectile Motion 5.6 Applications of Integration to Economics and the Sciences 5.7 Probability Chapter 6: Integration Techniques 6.1 Review of Formulas and Techniques 6.2 Integration by Parts 6.3 Trigonometric Techniques of Integration Integrals Involving Powers of Trigonometric Functions Trigonometric Substitution 6.4 Integration of Rational Functions Using Partial Fractions General Strategies for Integration Techniques 6.5 Integration Tables and Computer Algebra Systems 6.6 Improper Integrals A Comparison Test Chapter 7: First Order Differential Equations 7.1 Growth and Decay Problems Compound Interest Modeling with Differential Equations 7.2 Separable Differential Equations Logistic Growth 7.3 Direction Fields and Euler's Method 7.4 Systems of First Order Differential Equations Predator-Prey Systems Chapter 8: Infinite Series 8.1 Sequences of Real Numbers 8.2 Infinite Series 8.3 The Integral Test and Comparison Tests 8.4 Alternating Series Estimating the Sum of an Alternating Series 8.5 Absolute Convergence and the Ratio Test The Root Test Summary of Convergence Tests 8.6 Power Series 8.7 Taylor Series Representations of Functions as Series Proof of Taylor's Theorem 8.8 Applications of Taylor Series The Binomial Series 8.9 Fourier Series Chapter 9: Parametric Equations and Polar Coordinates 9.1 Plane Curves and Parametric Equations 9.2 Calculus and Parametric Equations 9.3 Arc Length and Surface Area in Parametric Equations 9.4 Polar Coordinates 9.5 Calculus and Polar Coordinates 9.6 Conic Sections 9.7 C
Synopsis
Students who have used Smith/Minton's Calculus say it was easier to read than any other math book they've used. That testimony underscores the success of the authors' approach, which combines the best elements of reform with the most reliable aspects of mainstream calculus teaching, resulting in a motivating, challenging book. Smith/Minton also provide exceptional, reality-based applications that appeal to students' interests and demonstrate the elegance of math in the world around us. New features include: - A new organization placing all transcendental functions early in the book and consolidating the introduction to L'Hopital's Rule in a single section. - More concisely written explanations in every chapter. - Many new exercises (for a total of 7,000 throughout the book) that require additional rigor not found in the 2nd Edition. - New exploratory exercises in every section that challenge students to synthesize key concepts to solve intriguing projects. - New commentaries ("Beyond Formulas") that encourage students to think mathematically beyond the procedures they learn. - New counterpoints to the historical notes, "Today in Mathematics, " that stress the contemporary dynamism of mathematical research and applications, connecting past contributions to the present. - An enhanced discussion of differential equations and additional applications of vector calculus., Students who have used Smith/Minton's Calculus say it was easier to read than any other math book they've used. That testimony underscores the success of the authors approach, which combines the best elements of reform with the most reliable aspects of mainstream calculus teaching, resulting in a motivating, challenging book. Smith/Minton also provide exceptional, reality-based applications that appeal to students interests and demonstrate the elegance of math in the world around us. New features include: A new organization placing all transcendental functions early in the book and consolidating the introduction to L'Hpital's Rule in a single section. More concisely written explanations in every chapter. Many new exercises (for a total of 7,000 throughout the book) that require additional rigor not found in the 2nd Edition. New exploratory exercises in every section that challenge students to synthesize key concepts to solve intriguing projects. New commentaries (Beyond Formulas) that encourage students to think mathematically beyond the procedures they learn. New counterpoints to the historical notes, Today in Mathematics, that stress the contemporary dynamism of mathematical research and applications, connecting past contributions to the present. An enhanced discussion of differential equations and additional applications of vector calculus..

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