Calculus Early Transcendentals
Pearson New International Edition
1st Edition
Published on 3. October 2013
864 pages
978-1-292-05584-8 (ISBN)
Description
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.
More details
Language
English
Place of publication
Harlow
United Kingdom
Target group
College/higher education
ISBN-13
978-1-292-05584-8 (9781292055848)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Dale Varberg | Edwin Purcell | Steve Rigdon
Calculus Early Transcendentals: Pearson New International Edition
Book
11/2013
Pearson Education Limited
€95.51
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Content
1
PRELIMINARIES
1.1
Real Numbers, Estimation, and Logic
1.2
Inequalities and Absolute Values
1.3
The Rectangular Coordinate System
1.4
Graphs of Equations
1.5
Functions and Their Graphs
1.6
Operations on Functions
1.7
Exponential and Logarithmic Functions
1.8
The Trigonometric Functions
1.9
The Inverse Trigonometric Functions
1.10
Chapter Review
2
LIMITS
2.1
Introduction to Limits
2.2
Rigorous Study of Limits
2.3
Limit Theorems
2.4
Limits at Infinity; Infinite Limits
2.5
Limits Involving Trigonometric Functions
2.6
Natural Exponential, Natural Log, and Hyperbolic Functions
2.7
Continuity of Functions
2.8
Chapter Review
3
THE DERIVATIVE
3.1
Two Problems with One Theme
3.2
The Derivative
3.3
Rules for Finding Derivatives
3.4
Derivatives of Trigonometric Functions
3.5
The Chain Rule
3.6
Higher-Order Derivatives
3.7
Implicit Differentiation
3.8
Related Rates
3.9
Derivatives of Exponential and Logarithmic Functions
3.10
Derivatives of Hyperbolic and Inverse Trigonometric Functions
3.11
Differentials and Approximations
3.12
Chapter Review
4
APPLICATIONS OF THE DERIVATIVE
4.1
Maxima and Minima
4.2
Monotonicity and Concavity
4.3
Local Extrema and Extrema on Open Intervals
4.4
Practical Problems
4.5
Graphing Functions Using Calculus
4.6
The Mean Value Theorem for Derivatives
4.7
Solving Equations Numerically
4.8
Antiderivatives
4.9
Introduction to Differential Equations
4.10
Exponential Growth and Decay
4.11
Chapter Review
5
THE DEFINITE INTEGRAL
5.1
Introduction to Area
5.2
The Definite Integral
5.3
The 1st Fundamental Theorem of Calculus
5.4
The 2nd Fundamental Theorem of Calculus
and the Method of Substitution
5.5
The Mean Value Theorem for Integrals & the Use of Symmetry
5.6
Numerical Integration
5.7
Chapter Review
6
APPLICATIONS OF THE INTEGRAL
6.1
The Area of a Plane Region
6.2
Volumes of Solids: Slabs, Disks, Washers
6.3
Volumes of Solids of Revolution: Shells
6.4
Length of a Plane Curve
6.5
Work and Fluid Pressure
6.6
Moments and Center of Mass
6.8
Probability and Random Variables
6.8
Chapter Review
7
TECHNIQUES OF INTEGRATION &
DIFFERENTIAL EQUATIONS
7.1
Basic Integration Rules
7.2
Integration by Parts
7.3
Some Trigonometr
PRELIMINARIES
1.1
Real Numbers, Estimation, and Logic
1.2
Inequalities and Absolute Values
1.3
The Rectangular Coordinate System
1.4
Graphs of Equations
1.5
Functions and Their Graphs
1.6
Operations on Functions
1.7
Exponential and Logarithmic Functions
1.8
The Trigonometric Functions
1.9
The Inverse Trigonometric Functions
1.10
Chapter Review
2
LIMITS
2.1
Introduction to Limits
2.2
Rigorous Study of Limits
2.3
Limit Theorems
2.4
Limits at Infinity; Infinite Limits
2.5
Limits Involving Trigonometric Functions
2.6
Natural Exponential, Natural Log, and Hyperbolic Functions
2.7
Continuity of Functions
2.8
Chapter Review
3
THE DERIVATIVE
3.1
Two Problems with One Theme
3.2
The Derivative
3.3
Rules for Finding Derivatives
3.4
Derivatives of Trigonometric Functions
3.5
The Chain Rule
3.6
Higher-Order Derivatives
3.7
Implicit Differentiation
3.8
Related Rates
3.9
Derivatives of Exponential and Logarithmic Functions
3.10
Derivatives of Hyperbolic and Inverse Trigonometric Functions
3.11
Differentials and Approximations
3.12
Chapter Review
4
APPLICATIONS OF THE DERIVATIVE
4.1
Maxima and Minima
4.2
Monotonicity and Concavity
4.3
Local Extrema and Extrema on Open Intervals
4.4
Practical Problems
4.5
Graphing Functions Using Calculus
4.6
The Mean Value Theorem for Derivatives
4.7
Solving Equations Numerically
4.8
Antiderivatives
4.9
Introduction to Differential Equations
4.10
Exponential Growth and Decay
4.11
Chapter Review
5
THE DEFINITE INTEGRAL
5.1
Introduction to Area
5.2
The Definite Integral
5.3
The 1st Fundamental Theorem of Calculus
5.4
The 2nd Fundamental Theorem of Calculus
and the Method of Substitution
5.5
The Mean Value Theorem for Integrals & the Use of Symmetry
5.6
Numerical Integration
5.7
Chapter Review
6
APPLICATIONS OF THE INTEGRAL
6.1
The Area of a Plane Region
6.2
Volumes of Solids: Slabs, Disks, Washers
6.3
Volumes of Solids of Revolution: Shells
6.4
Length of a Plane Curve
6.5
Work and Fluid Pressure
6.6
Moments and Center of Mass
6.8
Probability and Random Variables
6.8
Chapter Review
7
TECHNIQUES OF INTEGRATION &
DIFFERENTIAL EQUATIONS
7.1
Basic Integration Rules
7.2
Integration by Parts
7.3
Some Trigonometr
