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
4: Applications of the Derivative
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.
ABOUT THE AUTHOR
- Foundation Mathematics K.A. Stroud, Dexter Booth
- Vector Calculus Jerrold Marsden, Anthony Tromba
- Mathematical Structures for Computer Science Judith Gersting
- For All Practical Purposes
- Quantitative Literacy Bruce Crauder, Benny Evans, Jerry Johnson, Alan Noell
- Linear Algebra Jeffrey Holt
- Linear Algebra Theodore Shifrin, Malcolm Adams
- Calculus Made Easy Silvanus P Thompson, Martin Gardner
- Foundation Calculus Pragnesh Gajjar
- Single Variable Student Solutions Manual for Calculus Laura Taalman, Peter Kohn
- Student Solutions Manual for Calculus (Multivariable)
- Calculus Laura Taalman, Peter Kohn