Calculus: Early Transcendentals

Fourth Edition

Publication Date: December 21, 2018

Hardcover ISBN: 9781319248529

Pages: 1216

Calculus concepts with the perfect balance of rigor and accessibility.

With a clear and accessible writing style Calculus: Early Transcendentals offers an ideal balance of formal precision and dedicated conceptual focus, helping students build strong computational skills while continually reinforcing the relevance of calculus to their future studies and...

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ISBN: 9781319450199
Calculus: Early Transcendentals 4e & Achieve for Calculus: Early Transcendentals 4e (2-Term/Twelve-Months Access; International Edition)

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1: Precalculus Review

2: Limits

3: Differentiation

4: Applications of the Derivative

5: Integration

6: Applications of the Integral

7: Techniques of Integration

8: Further Applications of the Integral

9: Introduction to Differential Equations

10: Infinite Series

11: Parametric Equations, Polar Coordinates, and Conic Sections

12: Vector Geometry

13: Calculus of Vector-Valued Functions

14: Differentiation in Several Variables

15: Multiple Integration

16: Line and Surface Integrals.

Conceptual Insights encourage students to develop a conceptual understanding of calculus by explaining important ideas clearly but informally.
Graphical Insights enhance students’ visual understanding by making the crucial connections between graphical properties and the underlying concepts.
Reminders in the margins give students a quick review of the topic and help them link the current discussion to important concepts introduced earlier in the text.
Section summaries and coordinated exercise sets offer a comprehensive review of key points in a concise and useful way to emphasise what is most important in each section.

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Interesting applications of Calculus to a broad range of scientific fields keep students engaged and motivated.
Caution notes and detailed examples instruct students through common pitfalls they may encounter in understanding the material.
Provides an expanding perspective on curve sketching to help move students beyond just sketching a curve using calculus tools to include analysing given curves using calculus tools.

Jon Rogawski

Jon Rogawski received his undergraduate and master’s degrees in mathematics simultaneously from Yale University, and he earned his PhD in mathematics from Princeton University, where he studied under Robert Langlands. Before joining the Department of Mathematics at UCLA in 1986, where he was a full professor, he held teaching and visiting positions at the Institute for Advanced Study, the University of Bonn, and the University of Paris at Jussieu and Orsay. Jon’s areas of interest were number theory, automorphic forms, and harmonic analysis on semisimple groups. He published numerous research articles in leading mathematics journals, including the research monograph Automorphic Representations of Unitary Groups in Three Variables (Princeton University Press). He was the recipient of a Sloan Fellowship and an editor of the Pacific Journal of Mathematics and the Transactions of the AMS. As a successful teacher for more than 30 years, Jon Rogawski listened and learned much from his own students. These valuable lessons made an impact on his thinking, his writing, and his shaping of a calculus text. Sadly, Jon Rogawski passed away in September 2011. Jon’s commitment to presenting the beauty of calculus and the important role it plays in students’ understanding of the wider world is the legacy that lives on in each new edition of Calculus.

Colin Adams

Colin Adams is the Thomas T. Read professor of Mathematics at Williams College, where he has taught since 1985. Colin received his undergraduate degree from MIT and his PhD from the University of Wisconsin. His research is in the area of knot theory and low-dimensional topology. He has held various grants to support his research, and written numerous research articles. Colin is the author or co-author of The Knot Book, How to Ace Calculus: The Streetwise Guide, How to Ace the Rest of Calculus: The Streetwise Guide, Riot at the Calc Exam and Other Mathematically Bent Stories, Why Knot?, Introduction to Topology: Pure and Applied, and Zombies & Calculus. He co-wrote and appears in the videos “The Great Pi vs. E Debate” and “Derivative vs. Integral: the Final Smackdown.” He is a recipient of the Haimo National Distinguished Teaching Award from the Mathematical Association of America (MAA) in 1998, an MAA Polya Lecturer for 1998-2000, a Sigma Xi Distinguished Lecturer for 2000-2002, and the recipient of the Robert Foster Cherry Teaching Award in 2003. Colin has two children and one slightly crazy dog, who is great at providing the entertainment.

Robert Franzosa

Robert (Bob) Franzosa is a professor of mathematics at the University of Maine where he has been on the faculty since 1983. Bob received a BS in mathematics from MIT in 1977 and a Ph.D. in mathematics from the University of Wisconsin in 1984. His research has been in dynamical systems and in applications of topology in geographic information systems. He has been involved in mathematics education outreach in the state of Maine for most of his career. Bob is a co-author of Introduction to Topology: Pure and Applied and Algebraic Models in Our World. He was awarded the University of Maine’s Presidential Outstanding Teaching award in 2003. Bob is married, has two children, three step-children, and one recently-arrived grandson.

Achieve for Calculus: Early Transcendentals 4e is an online learning system backed by extensive development and research. Proven to increase student engagement and boost performance, Achieve offers:

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Integrated with iClicker so that instructors and students can benefit in class and remotely from an industry leading student response system.
The easy-to-use Homework Math Palette adapts its front page to the content of the problem, bringing forward the most appropriate buttons and helping students focus on the math rather than the format.
Dynamic Figures powered by Desmos, take students experience further with conceptual and computational questions about the interactive key chapter figures.

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A grade book, assignable assessments with targeted feedback, insights and reporting, instructor resources - all with seamless integration options.

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