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One of the most successful calculus books of its generation, Jon Rogawski’s Calculus balances formal precision with conceptual focus. Full of useful features, it helps students build computational skills while reinforcing the relevance of calculus to their studies. When writing the book, the author team strove to ensure it's clearly written, can be read by a calculus student and would motivate them to engage in the material and learn more. The textbook uses exposition, graphics, and layout would to enhance all facets of a student’s calculus experience. Bob Franzosa joins the author team for this new 4th edition, bringing deep experience and knowledge of teaching calculus at undergraduate level. Extra applications have been added in climate, life and earth sciences to better bring the maths to life.
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 are margin notes that link the current discussion to important concepts introduced earlier in the text to give students a quick review and make connections with related ideas Caution notes warn students of common pitfalls they may encounter in understanding the material. Examples work through problems to instruct students on concepts. They contain full, stepped-out solutions for each part Historical Perspectives are brief vignettes that place key discoveries and conceptual advances in their historical context. They give students a glimpse into some of the accomplishments of great mathematicians and an appreciation for their significance Assumptions Matter uses short explanations and well-chosen counterexamples to help students appreciate why hypotheses are needed in theorems. Section Summaries summarize a section's key points in a concise and useful way and emphasize for students what is most important in each section Section Exercise Sets offer a comprehensive set of exercises closely coordinated with the text. These exercises vary in difficulty from routine, to moderate, to more challenging Chapter Review Exercises offer a comprehensive set of exercises closely coordinated with the chapter material to provide additional problems for self-study or assignments
Additional applications, particularly in life science and earth science to broaden the scientific fields represented in the book. In particular, there are a number of new examples and exercises in climate science.
Additional conceptual and graphical insights to assist student understanding in places where pitfalls and confusion often occurs.
Maintained threads throughout the book by previewing topics that come up later and revisiting topics that have been presented before.
New author Bob Franzosa joins the team, bringing a wealth of mathematics teaching experience with him
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.
Jon Rogawski was Full Professor at the Department of Mathematics at UCLA. He held teaching positions at Yale and the University of Chicago, and research positions at the Institute for Advanced Study and University of Bonn. Jon sadly passed away in 2011.
Colin Adams is the Thomas T. Read Professor of Mathematics at Williams College, where he has taught since 1985. He has produced a number of books that make mathematics more accessible and relatable.
Robert (Bob) Franzosa is a professor of mathematics at the University of Maine where he has been on the faculty since 1983. Bob has been involved in mathematics education outreach in the state of Maine for most of his career.
Jon Rogawski was Full Professor at the Department of Mathematics at UCLA. He held teaching positions at Yale and the University of Chicago, and research positions at the Institute for Advanced Study and University of Bonn. Jon sadly passed away in 2011.
Colin Adams is the Thomas T. Read Professor of Mathematics at Williams College, where he has taught since 1985. He has produced a number of books that make mathematics more accessible and relatable.
Robert (Bob) Franzosa is a professor of mathematics at the University of Maine where he has been on the faculty since 1983. Bob has been involved in mathematics education outreach in the state of Maine for most of his career.
