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Calculus Multivariable, 2nd Edition

ISBN: 978-0-470-45359-9

January 2011

504 pages

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Description

Blank and Krantz's Calculus 2e brings together time-tested methods and innovative thinking to address the needs of today's students, who come from a wide range of backgrounds and look ahead to a variety of futures. Using meaningful examples, credible applications, and incisive technology, Blank and Krantz's Calculus 2e strives to empower students, enhance their critical thinking skills, and equip them with the knowledge and skills to succeed in the major or discipline they ultimately choose to study. Blank and Krantz’s engaging style and clear writing make the language of mathematics accessible, understandable and enjoyable, while maintaining high standards for mathematical rigor.

Blank and Krantz's Calculus 2e is available with WileyPLUS, an online teaching and learning environment initially developed for Calculus and Differential Equations courses. WileyPLUS integrates the complete digital textbook with powerful student and instructor resources as well as online auto-graded homework.

About the Author

Brian E Blank is an associate professor of mathematics at Washington University in St. Louis. He received his Ph.D. in 1980 at Cornell University, with Anthony Knapp as advisor. His 20th century work involved harmonic analysis.

Steven G Krantz is an American scholar, mathematician, and writer. He has authored more than 235 research papers and more than 125 books. Additionally, Krantz has edited journals such as the Notices of the American Mathematical Society and The Journal of Geometric Analysis.

New to Edition
ü Major reorganisation of topics: Table of contents has been reorganised to be more in line with standard syllabi

ü Chapter Review Exercises: This edition now includes chapter review exercises

ü Exercises:More exercises added throughout, especially drill and medium-level exercises

Features
ü Readable rigor: The writing of this text is cogent, clear, and compelling; while carefully maintaining mathematical precision.

ü Depth of Exercises: Exercise sets have real depth and are organised  into three parts; skills exercises (Problems for Practice), more challenging and thought-provoking exercises (Further Theory and Practice), and technology exercises (Calculator/Computer Sciences)

ü Pedagogical Features: These include: Insight, A Look Back, A Look Forward, Quick Quiz, Preview, Key/Basic Steps, Summary of Key Topics, Genesis and Development

ü Advanced Students Are Engaged Early: Students who were exposed to calculus in high school are challenged and engaged early; for instance, by early exposure to sequences (in Chapter 2, “Limits”)

ü Technology:Technology is an essential part of modern life. It is used throughout the book in a natural and comfortable manner. Students see how scientists and engineers think about mathematical questions.

ü Real World Applications: Applications are not “made up” or artificial. They are shown as an essential part of the way we think about Mathematics and the world around us.

ü Sequences: These are introduced early and used throughout to motivate key ideas like limits, exponentials and series.