Undergraduate Texts in Mathematics Ser.: Multivariable Calculus with Applications by Maria Shea Terrell and Peter D. Lax (2018, Hardcover)

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About this product

Product Identifiers

PublisherSpringer International Publishing A&G
ISBN-103319740725
ISBN-139783319740720
eBay Product ID (ePID)242810439

Product Key Features

Number of PagesVIII, 483 Pages
Publication NameMultivariable Calculus with Applications
LanguageEnglish
Publication Year2018
SubjectProbability & Statistics / Multivariate Analysis, Calculus, Applied, Mathematical Analysis
TypeTextbook
Subject AreaMathematics
AuthorMaria Shea Terrell, Peter D. Lax
SeriesUndergraduate Texts in Mathematics Ser.
FormatHardcover

Dimensions

Item Weight302.4 Oz
Item Length9.3 in
Item Width6.1 in

Additional Product Features

Reviews"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), "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)
Number of Volumes1 vol.
IllustratedYes
Table Of Content1. 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.
SynopsisThis 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.
LC Classification NumberQA299.6-433
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