Calculus
First Edition ©2019
The author's goal for the book is that it's clearly written, could be read by a calculus student and would motivate them to engage in the material and learn more. Moreover, to create a text in which exposition, graphics, and layout would work together to enhance all facets of a student’s calculus...
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The author's goal for the book is that it's clearly written, could be read by a calculus student and would motivate them to engage in the material and learn more. Moreover, to create a text in which exposition, graphics, and layout would work together to enhance all facets of a student’s calculus experience. They paid special attention to certain aspects of the text:
1. Clear, accessible exposition that anticipates and addresses student difficulties.
2. Layout and figures that communicate the flow of ideas.
3. Highlighted features that emphasize concepts and mathematical reasoning including Conceptual Insight, Graphical Insight, Assumptions Matter, Reminder, and Historical Perspective.
4. A rich collection of examples and exercises of graduated difficulty that teach basic skills as well as problem-solving techniques, reinforce conceptual understanding, and motivate calculus through interesting applications. Each section also contains exercises that develop additional insights and challenge students to further develop their skills.
Achieve for Calculus redefines homework by offering guidance for every student and support for every instructor. Homework is designed to teach by correcting students' misconceptions through targeted feedback, meaningful hints, and full solutions, helping teach students conceptual understanding and critical thinking in real-world contexts.
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Table of Contents
Chapter 1: Precalculus Review
Chapter 2: Limits
Chapter 3: Differentiation
Chapter 4: Applications of the Derivative
Chapter 5: Integration
Chapter 6: Applications of the Integral
Chapter 7: Exponential and Logarithmic Functions
Chapter 8: Techniques of Integration
Chapter 9: Further Applications of the Integral
Chapter 10: Introduction to Differential Equations
Chapter 11: Infinite Series
Chapter 12: Parametric Equations, Polar Coordinates, and Conic Sections
Chapter 13: Vector Geometry
Chapter 14: Calculus of Vector-Valued Functions
Chapter 15: Differentiation in Several Variables
Chapter 16: Multiple Integration
Chapter 17: Line and Surface Integrals
Chapter 18: Fundamental Theorems of Vector Analysis
Authors
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.
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Jon Rogawski; Colin Adams; Robert Franzosa | Fourth Edition | ©2019 | ISBN:9781319221287
Related Titles
Videos
Colin Adams' Calculus 3e Co-authorship Video
Colin Adams discusses how he became involved with co-authoring Calculus 3e.
Colin Adams' knot theory Video
Colin Adams describes how he began working on Knot Theory.
Colin Adams' Various Calculus Books Video
Colin Adams describes his supplemental texts and new novel, Zombies & Calculus.
Minimizing Memorization Video
Colin Adams discusses his focus on concepts and minimizing memorization in Calculus 3e.
Notation Video
Colin Adams explains important updates to the notation in Calculus 3e.
Transitioning to Homework Video
Colin Adams describes how Calculus 3e helps students transition from class to homework.
Understanding Formulas Video
Colin Adams talks about how the new edition helps students understand formulas.
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