Produktdetaljer
Biografisk notat
Joel Hass received his PhD from the University of California, Berkeley. He is currently a Professor of Mathematics at the University of California Davis. He has co-authored widely used calculus texts as well as calculus study guides. Hass’s current areas of research include the geometry of proteins, three-dimensional manifolds, applied maths, and computational complexity.
Christopher Heil received his PhD from the University of Maryland. He is currently a Professor of Mathematics at the Georgia Institute of Technology. He is the author of a graduate text on analysis and a number of highly cited research survey articles. Heil's current areas of research include redundant representations, operator theory, and applied harmonic analysis.
Maurice D. Weir (late) of the the Naval Postgraduate School in Monterey, California, was Professor Emeritus as a member of the Department of Applied Mathematics. He held a DA and MS from Carnegie-Mellon University and received his BS at Whitman College. He co-authored eight books, including University Calculus and Thomas’ Calculus.
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® MathMyLab is the teaching and learning platform that personalises the learning experience and improves results for each student.
If you would like to purchase the physical text and MyLab® Math, search for:
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- 9781292253220 Thomas' Calculus, Global Edition, 14th Edition
- 9781292253282 Thomas' Calculus, Global Edition, 14th Edition MyLab® Math
- 9780997880922 Thomas' Calculus, Global Edition, 14th Edition Pearson eText
MyLab® is not included. If MyLab is a recommended component of the course, ask your instructor for the correct ISBN. MyLab should only be purchased when required. Instructors, contact your Pearson representative for more information.
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
- 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
- Co-authors Chris Heil and Joel Hass continue Thomas' tradition ofdeveloping students' mathematical maturity and proficiency, going beyond memorizing formulas and routine procedures, and showing students how to generalize key concepts once they are introduced.
- Results are carefully stated and proved. The formal material is as carefully presented and explained as the informal development so you can downplay formality at any stage without impacting later developments in the text.
- Complete and precise multivariable coverage enhances the connections of multivariable ideas with their single-variable analogues studied earlier in the book.
- Strong exercise sets feature a great breadth of progressive problems to encourage students to think about and practice the concepts until they achieve mastery.
- Writing exercises the text ask students to explore and explain calculus concepts and applications.
- Technology exercises ask students to use the calculator or computer when solving the problems.
- New types of homework exercises, including many geometric in nature, have been added, providing different perspectives and approaches to each topic.
- Short URLs have been added to the historical marginnotes, allowing students to navigate directly to online information.
- New annotations within examples (in blue type) guide the student through the problem solution and emphasize that each step in a mathematical argument is rigorously justified.
- All chapters have been revised for clarity, consistency, conciseness, and comprehension.
Produktdetaljer
Biografisk notat
Joel Hass received his PhD from the University of California, Berkeley. He is currently a Professor of Mathematics at the University of California Davis. He has co-authored widely used calculus texts as well as calculus study guides. Hass’s current areas of research include the geometry of proteins, three-dimensional manifolds, applied maths, and computational complexity.
Christopher Heil received his PhD from the University of Maryland. He is currently a Professor of Mathematics at the Georgia Institute of Technology. He is the author of a graduate text on analysis and a number of highly cited research survey articles. Heil's current areas of research include redundant representations, operator theory, and applied harmonic analysis.
Maurice D. Weir (late) of the the Naval Postgraduate School in Monterey, California, was Professor Emeritus as a member of the Department of Applied Mathematics. He held a DA and MS from Carnegie-Mellon University and received his BS at Whitman College. He co-authored eight books, including University Calculus and Thomas’ Calculus.