Vector Calculus

Sixth Edition

Publication Date: December 16, 2011

Hardcover ISBN: 9781429215084

Pages: 576

This bestselling vector calculus text helps students gain a solid, intuitive understanding of this important subject. The books careful contemporary balance between theory, application, and historical development, provides readers with insights into how mathematics progresses and is in turn...

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New in this Edition
Authors

The Sixth Edition was completely redesigned, but retains and improves on the balance between theory, applications, optional material, and historical notes that was present in earlier editions.

Content changes include:

Trimming some of the historical material, making it more relevant to the mathematics under discussion. Moving some of the more difficult discussions in the Ffth Edition to the Book Companion Web Site (including Conservation Laws, the derivation of Euler’s Equation of a Perfect Fluid, and a discussion of the Heat Equation).

Revision highlights:

New Design

The modern redesign emphasizes the pedagogical features, making the text more concise, student-friendly, and accessible.

More Exercises

The new edition adds 15-20% new easy-to-moderate exercises graded from less difficult to more difficult, providing extra practice for students to master key concepts.

New Examples

The new examples were shaped by feedback from reviewers and UC-Santa Cruz teaching assistants teaching the course.

Enhanced Three Dimensional Figures

The quality of the artwork has been significantly improved, with crucial three-dimensional figures better reflecting key concepts to students.

Definitions/Theorems/Proofs/Corollaries/Key Concepts

These pedagogical features these are now more clearly boxed to better highlight them for students and differentiate from the main text.

Jerrold E. Marsden

Anthony Tromba

Anthony Tromba is Professor of Mathematics at the University of California, Santa Cruz. He received his B.S. from Cornell University, and his M.A. and Ph.D, from Princeton University. His research interests are in the applications of ideas in global nonlinear analysis to various problems in analysis and topology. His research has been honored by an invitation to address The International Congress of Mathematicians. Professor Tromba has been Ordinarius Professor at The Ludwigs Maximillians University, Munich, A Visiting Member of The Institute of Advanced Study in Princeton, and A Research Group Leader at The Max Planck Institute, Bonn.

He has authored, or co-authored over nine books, two of which, including Vector Calculus, have been translated into multiple languages.

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Instructor's Manual with Solutions

Lecture PowerPoint Slides

Lecture PowerPoint Slides - Answers

Lecture PowerPoint Slides - Chapter 01

Lecture PowerPoint Slides - Chapter 02

Lecture PowerPoint Slides - Chapter 03

Lecture PowerPoint Slides - Chapter 04

Lecture PowerPoint Slides - Chapter 05

Lecture PowerPoint Slides - Chapter 06

Lecture PowerPoint Slides - Chapter 07

Lecture PowerPoint Slides - Chapter 08

Lecture PowerPoint Slides - Front Matter

Sample Final Exams

Sample Final Exam 1

Sample Final Exam 2

Sample Final Exam 3

Sample Final Exam 4

Solutions to Sample Exams

Solutions to Sample Test - Chapter 01

Solutions to Sample Test - Chapter 02

Solutions to Sample Test - Chapter 03

Solutions to Sample Test - Chapter 04

Solutions to Sample Test - Chapter 05

Solutions to Sample Test - Chapter 06

Solutions to Sample Test - Chapter 07

Solutions to Sample Test - Chapter 08

Solutions to Sample Test - Chapters 1 - 4

Solutions to Sample Test - Chapters 5 - 8

Solutions to Sample Final Exams

Solutions to Sample Final Exam 1

Solutions to Sample Final Exam 2

Solutions to Sample Final Exam 3

Solutions to Sample Final Exam 4

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Vector Calculus

Sixth Edition

Publication Date: December 16, 2011

Hardcover ISBN: 9781429215084

Pages: 576

Jerrold E. Marsden