Thomas' Calculus in SI Units
Paperback Engels 2019 14e druk 9781292253220Samenvatting
Deepen your calculus knowledge with this new edition of Thomas’ time-tested text
Thomas’ Calculus in SI Units, 14th edition, Global Edition, helps you reach the level of mathematical proficiency needed to excel in your course. The text supports your development with a balance of clear and intuitive explanations, current applications, and generalised concepts – going beyond simply memorising formulas and routine procedures. Its chapters help you to generalise key concepts and develop a deeper understanding of the topics covered.
In this 14th SI edition, authors Christopher Heil and Joel Hass have carefully examined every word and illustration with your needs as a modern student in mind. This edition preserves everything best about Thomas' time-tested text, resulting in an authoritative yet refreshingly modern book that meets the needs of today's students.
With a host of learning features built into the text, Thomas' Calculus is the perfect guide for students of mathematics, engineering, or science. Also available with MyLab® Math
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This title is a Pearson Global Edition. The Editorial team at Pearson has worked to include content relevant to students outside the United States.
Comes with a Companion Website
Specificaties
Lezersrecensies
Inhoudsopgave
- 1.1 Functions and Their Graphs
- 1.2 Combining Functions; Shifting and Scaling Graphs
- 1.3 Trigonometric Functions
- 1.4 Exponential Functions
- 2.1 Rates of Change and Tangent Lines to Curves
- 2.2 Limit of a Function and Limit Laws
- 2.3 The Precise Definition of a Limit
- 2.4 One-Sided Limits
- 2.5 Limits Involving Infinity; Asymptotes of Graphs
- 2.6 Continuity
- 3.1 Tangent Lines and the Derivative at a Point
- 3.2 The Derivative as a Function
- 3.3 Differentiation Rules
- 3.4 The Derivative as a Rate of Change
- 3.5 Derivatives of Trigonometric Functions
- 3.6 The Chain Rule
- 3.7 Implicit Differentiation
- 3.8 Related Rates
- 3.9 Linearization and Differentials
- 4.1 Extreme Values of Functions on Closed Intervals
- 4.2 The Mean Value Theorem
- 4.3 Monotonic Functions and the First Derivative Test
- 4.4 Concavity and Curve Sketching
- 4.5 Applied Optimization
- 4.6 Newton’s Method
- 4.7 Antiderivatives
- 5.1 Area and Estimating with Finite Sums
- 5.2 Sigma Notation and Limits of Finite Sums
- 5.3 The Definite Integral
- 5.4 The Fundamental Theorem of Calculus
- 5.5 Indefinite Integrals and the Substitution Method
- 5.6 Definite Integral Substitutions and the Area Between Curves
- 6.1 Volumes Using Cross-Sections
- 6.2 Volumes Using Cylindrical Shells
- 6.3 Arc Length
- 6.4 Areas of Surfaces of Revolution
- 6.5 Work and Fluid Forces
- 6.6 Moments and Centres of Mass
- 7.1 Inverse Functions and Their Derivatives
- 7.2 Natural Logarithms
- 7.3 Exponential Functions
- 7.4 Exponential Change and Separable Differential Equations
- 7.5 Indeterminate Forms and L’Hôpital’s Rule
- 7.6 Inverse Trigonometric Functions
- 7.7 Hyperbolic Functions
- 7.8 Relative Rates of Growth
- 8.1 Using Basic Integration Formulas
- 8.2 Integration by Parts
- 8.3 Trigonometric Integrals
- 8.4 Trigonometric Substitutions
- 8.5 Integration of Rational Functions by Partial Fractions
- 8.6 Integral Tables and Computer Algebra Systems
- 8.7 Numerical Integration
- 8.8 Improper Integrals
- 9.1 Sequences
- 9.2 Infinite Series
- 9.3 The Integral Test
- 9.4 Comparison Tests
- 9.5 Absolute Convergence; The Ratio and Root Tests
- 9.6 Alternating Series and Conditional Convergence
- 9.7 Power Series
- 9.8 Taylor and Maclaurin Series
- 9.9 Convergence of Taylor Series
- 9.10 Applications of Taylor Series
- 10.1 Parametrizations of Plane Curves
- 10.2 Calculus with Parametric Curves
- 10.3 Polar Coordinates
- 10.4 Graphing Polar Coordinate Equations
- 10.5 Areas and Lengths in Polar Coordinates
- 10.6 Conic Sections
- 10.7 Conics in Polar Coordinates
- 11.1 Three-Dimensional Coordinate Systems
- 11.2 Vectors
- 11.3 The Dot Product
- 11.4 The Cross Product
- 11.5 Lines and Planes in Space
- 11.6 Cylinders and Quadric Surfaces
- 12.1 Curves in Space and Their Tangents
- 12.2 Integrals of Vector Functions; Projectile Motion
- 12.3 Arc Length in Space
- 12.4 Curvature and Normal Vectors of a Curve
- 12.5 Tangential and Normal Components of Acceleration
- 12.6 Velocity and Acceleration
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