Multivariable Calculus with Applications

Peter D. Lax is currently an Emeritus Professor of Mathematics at the Courant Institute of Mathematical Sciences. Maria Shea Terrell is currently a retired Senior Lecturer in Mathematics at Cornell University.

1. Vectors and matrices.- 2. Functions.- 3. Differentiation.- 4. More about differentiation.- 5. Applications to motion.- 6. Integration.- 7. Line and surface integrals.- 8.  Divergence and Stokes' Theorems and conservation laws.- 9. Partial differential equations.-  Answers to selected problems.- Index. 

"The presentation of the material is guided by applications so that physics and engineering students will find the text engaging and see the relevance of multivariable calculus to their work. The text contains over 500 exercises with answers and/or solutions to half provided at the back of the book, enabling students to gauge their understanding of the content as they proceed. A well-written, engaging text. Summing Up: Highly recommended. Upper-division undergraduates and professionals." (J. T. Zerger, Choice, Vol. 56 (03), November, 2018)
"This book belongs to a collection aimed at third- and fourth-year undergraduate mathematics students at North American universities. ... There are more than 200 figures to help the reader to understand the explanations and about 500 problems. ... I think this book can be recommended since, moreover, it is very pedagogical." (Richard Becker, Mathematical Reviews, October, 2018)
"Lax and Terrell's sequel to their Calculus With Applications presents a first course in multivariable calculus that fits in just over 400 pages. Even instructors who use standard texts will find much of value in this refreshing first edition. The book is written with a wide range of STEM students in mind, and its exposition remains remarkably fluid without scarificing precision. Every section of each chapter ends with an excellent collection of exercises, which should be graciously welcomed by independent learners and instructors alike." (Tushar Das, MAA Reviews, September, 2018)
"The main achievement of the authors is that they essentially have simplified the teaching of the old topics to make a place for new ones. The proofs are exposited to encourage understanding, not meaningless rigor. ... the presented book is a useful tool for all mathematicians (not only for students) and I find it regrettable that this book was not written when I was a student." (Andrey Zahariev, zbMATH 1396.26002, 2018)