Last edition Elsevier Were you looking for the book with access to Pearson MyLab Mathematics Global? This product is the book alone and does NOT come with access to Pearson MyLab Mathematics Global. Buy Thomas’ Calculus, Thirteenth Edition with Pearson MyLab Mathematics Global access card (ISBN 9781292089942) if you need access to Pearson MyLab Mathematics Global as well, and save money on this resource. You will also need a course ID from your instructor to access Pearson MyLab Mathematics Global. This text is designed for a three-semester or four-quarter calculus course (math, engineering, and science majors). Thomas’ Calculus, Thirteenth Edition, introduces students to the intrinsic beauty of calculus and the power of its applications.
Last Edition
ISBN 13: 9781292089799
Imprint: Pearson Education
Language: English
Authors: George B. Thomas
Pub Date: 05/2016
Pages: 1192
Illus: Illustrated
Weight: 2,600.000 grams
Size: 221 X 276 mm
Product Type: Softcover
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| grn 2368 |
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- • Strong exercise sets feature a great breadth of problems–progressing from skills problems to applied and theoretical problems–to encourage students to think about and practice the concepts until they achieve mastery.
- • Figures are conceived and rendered to provide insight for students and support conceptual reasoning.
- • The flexible table of contents divides topics into manageable sections, allowing instructors to tailor their course to meet the specific needs of their students.
- • Complete and precise multivariable coverage enhances the connections of multivariable ideas with their single-variable analogs studied earlier in the book
- George B. Thomas, Jr. (late) of the Massachusetts Institute of Technology, was a professor of mathematics for thirty-eight years; he served as the executive officer of the department for ten years and as graduate registration officer for five years. Thomas held a spot on the board of governors of the Mathematical Association of America and on the executive committee of the mathematics division of the American Society for Engineering Education. His book, Calculus and Analytic Geometry, was first published in 1951 and has since gone through multiple revisions. The text is now in its twelfth edition and continues to guide students through their calculus courses. He also co-authored monographs on mathematics, including the text Probability and Statistics.
- 1 Functions
- 1.1 Functions and Their Graphs 1.2 Combining Functions; Shifting and Scaling Graphs 1.3 Trigonometric Functions 1.4 Graphing with Software
- 2 Limits and Continuity
- 2.1 Rates of Change and Tangents 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 Continuity 2.6 Limits Involving Infinity; Asymptotes of Graphs
- 3 Derivatives
- 3.1 Tangents 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 Applications of Derivatives
- 4.1 Extreme Values of Functions 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 Integrals
- 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 Applications of Definite Integrals
- 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 Centers of Mass
- 7 Transcendental Functions
- 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’H?pital’s Rule 7.6 Inverse Trigonometric Functions 7.7 Hyperbolic Functions 7.8 Relative Rates of Growth
- 8 Techniques of Integration
- 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 8.9 Probability
- 9 First-Order Differential Equations
- 9.1 Solutions, Slope Fields, and Euler’s Method 9.2 First-Order Linear Equations 9.3 Applications 9.4 Graphical Solutions of Autonomous Equations 9.5 Systems of Equations and Phase Planes
- 10 Infinite Sequences and Series
- 10.1 Sequences 10.2 Infinite Series 10.3 The Integral Test 10.4 Comparison Tests 10.5 Absolute Convergence; The Ratio and Root Tests 10.6 Alternating Series and Conditional Convergence 10.7 Power Series 10.8 Taylor and Maclaurin Series 10.9 Convergence of Taylor Series 10.10 The Binomial Series and Applications of Taylor Series
- 11 Parametric Equations and Polar Coordinates
- 11.1 Parametrizations of Plane Curves 11.2 Calculus with Parametric Curves 11.3 Polar Coordinates 11.4 Graphing Polar Coordinate Equations 11.5 Areas and Lengths in Polar Coordinates 11.6 Conic Sections 11.7 Conics in Polar Coordinates
- 12 Vectors and the Geometry of Space
- 12.1 Three-Dimensional Coordinate Systems 12.2 Vectors 12.3 The Dot Product 12.4 The Cross Product 12.5 Lines and Planes in Space 12.6 Cylinders and Quadric Surfaces
- 13 Vector-Valued Functions and Motion in Space
- 13.1 Curves in Space and Their Tangents 13.2 Integrals of Vector Functions; Projectile Motion 13.3 Arc Length in Space 13.4 Curvature and Normal Vectors of a Curve 13.5 Tangential and Normal Components of Acceleration 13.6 Velocity and Acceleration in Polar Coordinates
- 14 Partial Derivatives
- 14.1 Functions of Several Variables 14.2 Limits and Continuity in Higher Dimensions 14.3 Partial Derivatives 14.4 The Chain Rule 14.5 Directional Derivatives and Gradient Vectors 14.6 Tangent Planes and Differentials 14.7 Extreme Values and Saddle Points 14.8 Lagrange Multipliers 14.9 Taylor’s Formula for Two Variables 14.10 Partial Derivatives with Constrained Variables
- 15 Multiple Integrals
- 15.1 Double and Iterated Integrals over Rectangles 15.2 Double Integrals over General Regions 15.3 Area by Double Integration 15.4 Double Integrals in Polar Form 15.5 Triple Integrals in Rectangular Coordinates 15.6 Moments and Centers of Mass 15.7 Triple Integrals in Cylindrical and Spherical Coordinates 15.8 Substitutions in Multiple Integrals
- 16 Integrals and Vector Fields
- 16.1 Line Integrals 16.2 Vector Fields and Line Integrals: Work, Circulation, and Flux 16.3 Path Independence, Conservative Fields, and Potential Functions 16.4 Green’s Theorem in the Plane 16.5 Surfaces and Area 16.6 Surface Integrals 16.7 Stokes’ Theorem 16.8 The Divergence Theorem and a Unified Theory
- 17 Second-Order Differential Equations online
- 17.1 Second-Order Linear Equations 17.2 Nonhomogeneous Linear Equations 17.3 Applications 17.4 Euler Equations 17.5 Power Series Solutions
- Appendices
- A.1 Real Numbers and the Real Line A.2 Mathematical Induction A.3 Lines, Circles, and Parabolas A.4 Proofs of Limit Theorems A.5 Commonly Occurring Limits A.6 Theory of the Real Numbers A.7 Complex Numbers A.8 The Distributive Law for Vector Cross Products A.9 The Mixed Derivative Theorem and the Increment Theorem
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