Calculus 9th Edition by Dale Varberg, Edwin Purcell, Steve Rigdon ISBN 978-0131429246 0131429248
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Product details:
ISBN 10: 0131429248
ISBN 13: 978-0131429246
Author: Dale Varberg, Edwin Purcell, Steve Rigdon
For freshman/sophomore-level courses treating calculus of both one and several variables.
Clear and Concise!
Varberg focuses on the most critical concepts freeing you to teach the way you want!
This popular calculus text remains the shortest mainstream calculus book available – yet covers all the material needed by, and at an appropriate level for, students in engineering, science, and mathematics. It’s conciseness and clarity helps students focus on, and understand, critical concepts in calculus without them getting bogged down and lost in excessive and unnecessary detail. It is accurate, without being excessively rigorous, up-to-date without being faddish. The authors make effective use of computing technology, graphics, and applications. Ideal for instructors who want a no-nonsense, concisely written treatment.
Table of contents:
Chapter 0: Preliminaries (Real Numbers, Inequalities, Functions, Trigonometric Functions, etc.)
Chapter 1: Limits (Introduction to Limits, Limit Theorems, Continuity)
Chapter 2: The Derivative (Rules for Finding Derivatives, Chain Rule, Implicit Differentiation, Related Rates, etc.)
Chapter 3: Applications of the Derivative (Maxima and Minima, Monotonicity and Concavity, Practical Problems, The Mean Value Theorem, Antiderivatives, etc.)
Chapter 4: The Definite Integral (Introduction to Area, The Definite Integral, The Fundamental Theorems of Calculus)
Chapter 5: Applications of the Integral (Area of a Plane Region, Volumes of Solids, Arc Length and Surface Area, Moments and Centroids)
Chapter 6: Transcendental Functions (Natural Logarithm Function, Inverse Trigonometric Functions, Hyperbolic Functions, etc.)
Chapter 7: Techniques of Integration (Basic Rules, Integration by Parts, Trigonometric Integrals, Rational Functions, etc.)
Chapter 8: Indeterminate Forms and Improper Integrals (L’Hôpital’s Rule, Improper Integrals)
Chapter 9: Infinite Series (Infinite Sequences, Convergence, Taylor and Maclaurin Series, etc.)
Chapter 10: Conics and Polar Coordinates (The Parabola, Polar Coordinates, etc.)
Chapter 11: Geometry in Space and Vectors (Cartesian Coordinates in Three-Space, Vectors, Lines and Tangent Lines, Surfaces, etc.)
Chapter 12: Derivatives of Functions of Two or More Variables (Partial Derivatives, Directional Derivatives, The Chain Rule, Maxima and Minima, Lagrange Multipliers, etc.)
Chapter 13: Multiple Integration (Double and Triple Integrals in various coordinate systems, Surface Area)
Chapter 14: Vector Calculus (Vector Fields, Line Integrals, Green’s Theorem, Gauss’s Divergence Theorem, Stokes’s Theorem, etc.)
Chapter 15: Differential Equations (Linear Homogeneous Equations, etc.)
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Tags: Dale Varberg, Edwin Purcell, Steve Rigdon, Calculus