Multivariable Calculus with Applications (Undergraduate Texts in Mathematics) by Peter D. Lax (PDF)

Description

This text in multivariable calculus fosters comprehension through meaningful explanations. Written with students in mathematics, the physical sciences, and engineering in mind, it extends concepts from single variable calculus such as derivative, integral, and important theorems to partial derivatives, multiple integrals, Stokes’ and divergence theorems. Students with a background in single variable calculus are guided through a variety of problem solving techniques and practice problems. Examples from the physical sciences are utilized to highlight the essential relationship between calculus and modern science. The symbiotic relationship between science and mathematics is shown by deriving and discussing several conservation laws, and vector calculus is utilized to describe a number of physical theories via partial differential equations. Students will learn that mathematics is the language that enables scientific ideas to be precisely formulated and that science is a source for the development of mathematics.

User’s Reviews

Editorial Reviews: Review “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) From the Back Cover This text in multivariable calculus fosters comprehension through meaningful explanations. Written with students in mathematics, the physical sciences, and engineering in mind, it extends concepts from single variable calculus such as derivative, integral, and important theorems to partial derivatives, multiple integrals, Stokes’ and divergence theorems. Students with a background in single variable calculus are guided through a variety of problem solving techniques and practice problems. Examples from the physical sciences are utilized to highlight the essential relationship between calculus and modern science. The symbiotic relationship between science and mathematics is shown by deriving and discussing several conservation laws, and vector calculus is utilized to describe a number of physical theories via partial differential equations. Students will learn that mathematics is the language that enables scientific ideas to be precisely formulated and that science is a source for the development of mathematics. About the Author 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. Read more

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐El libro llegó en perfectas condiciones y era pasta dura tal como se indicaba. Respecto al contenido, este se ve interesante y bien estructurado, haciendo tanto cuentas como demostraciones (Por ejemplo, la del teorema de la función inversa), tiene una buena variedad de ejercicios al final de cada sección y soluciones a los ejercicios impares al final del libro. En resumen, considero que es una excelente adquisición para aprender cálculo en varias variables.

⭐

⭐An amazing book to learn multivariable calculus from an analytical point of view.

⭐Nice way of explaining calculus to the undergraduate students using a bit of linear algebra.Reader would get a sound knowledge of double and triple integral,line surface and volume integral,stokes and gauss divergence theorem.Above mentioned theorems are nicely proved.Overall it’s a nice book for undergraduate students.

⭐Já conhecia o livro, dos tempos do curso de graduação em matemática. Peter D. Lax escreveu um clássico no assunto.

⭐

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