CALCULUS 5/e brings together the best of both new and traditional curricula in an effort to meet the needs of even more instructors teaching calculus. The author team's extensive experience teaching from both traditional and innovative books and their expertise in developing innovative problems put them in an unique position to make this new curriculum meaningful to students going into mathematics and those going into the sciences and engineering. The authors believe this edition will work well for those departments who are looking for a calculus book that offers a middle ground for their calculus instructors. CALCULUS 5/e exhibits the same strengths from earlier editions including the Rule of Four, an emphasis on modeling, exposition that students can read and understand and a flexible approach to technology. The conceptual and modeling problems, praised for their creativity and variety, continue to motivate and challenge students. ?
McCallum's approach to multivariable calculus is one of my favorites. This book is short on rigor (maybe five proofs in the whole book, and these are in separate sections), but instead focuses on using approximations to develop formulas followed by limits to make these formulas exact. It really focuses on the "why" without getting bogged down in complete proofs or problems that are difficult for extraneous reasons. Also, the book avoids distracting margin notes and confines itself to perfectly adequate two color printing. This saves on costs and focuses the reader on the exposition.
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