An Illustrative Guide to Multivariable and Vector Calculus

Autoren: Miklavcic, Stanley J.

Vorschau
  • Offers an in-depth visual approach to multivariable and vector calculus
  • Complements existing textbooks on the subject by being concise and portable
  • Includes over one hundred carefully drawn figures that illustrate the material with clarity and ingenuity
Weitere Vorteile

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eBook 42,79 €
Preis für Deutschland (Brutto)
  • ISBN 978-3-030-33459-8
  • Versehen mit digitalem Wasserzeichen, DRM-frei
  • Erhältliche Formate: EPUB, PDF
  • eBooks sind auf allen Endgeräten nutzbar
  • Sofortiger eBook Download nach Kauf
Hardcover 53,49 €
Preis für Deutschland (Brutto)
Softcover 53,49 €
Preis für Deutschland (Brutto)
Über dieses Lehrbuch

This textbook focuses on one of the most valuable skills in multivariable and vector calculus: visualization. With over one hundred carefully drawn color images, students who have long struggled picturing, for example, level sets or vector fields will find these abstract concepts rendered with clarity and ingenuity. This illustrative approach to the material covered in standard multivariable and vector calculus textbooks will serve as a much-needed and highly useful companion.

Emphasizing portability, this book is an ideal complement to other references in the area. It begins by exploring preliminary ideas such as vector algebra, sets, and coordinate systems, before moving into the core areas of multivariable differentiation and integration, and vector calculus. Sections on the chain rule for second derivatives, implicit functions, PDEs, and the method of least squares offer additional depth; ample illustrations are woven throughout. Mastery Checks engage students in material on the spot, while longer exercise sets at the end of each chapter reinforce techniques.

An Illustrative Guide to Multivariable and Vector Calculus will appeal to multivariable and vector calculus students and instructors around the world who seek an accessible, visual approach to this subject. Higher-level students, called upon to apply these concepts across science and engineering, will also find this a valuable and concise resource.

Über die Autor*innen

Stanley J. Miklavcic is a Professor of Mathematics at the University of South Australia. He was awarded a BSc Hons in Applied Mathematics and the University Medal by the University of New South Wales and holds a PhD from the Australian National University. His research interests include the application of mathematics and modelling in biology, physics and chemistry. A one-time recipient of a Queen Elizabeth Research Fellowship, Stanley has held academic positions in both Sweden and Australia and has published over 150 papers. Stanley is a Fellow of the Australian Mathematical Society and Member of both the Australasian Colloid and Interface Society and the Australian Society of Plant Scientists.

Stimmen zum Buch

“The book is self-contained. … It is suitable as a textbook for students having completed courses in single variable calculus and linear algebra. Alternatively, the book can be used as a reference text to complement the textbooks in advanced calculus, giving the students a different visual perspective.” (Mihail Voicu, zbMATH 1441.26002, 2020)


Inhaltsverzeichnis (5 Kapitel)

Inhaltsverzeichnis (5 Kapitel)

Dieses Buch kaufen

eBook 42,79 €
Preis für Deutschland (Brutto)
  • ISBN 978-3-030-33459-8
  • Versehen mit digitalem Wasserzeichen, DRM-frei
  • Erhältliche Formate: EPUB, PDF
  • eBooks sind auf allen Endgeräten nutzbar
  • Sofortiger eBook Download nach Kauf
Hardcover 53,49 €
Preis für Deutschland (Brutto)
Softcover 53,49 €
Preis für Deutschland (Brutto)
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Bibliografische Information

Bibliographic Information
Buchtitel
An Illustrative Guide to Multivariable and Vector Calculus
Autoren
Copyright
2020
Verlag
Springer International Publishing
Copyright Inhaber
Springer Nature Switzerland AG
eBook ISBN
978-3-030-33459-8
DOI
10.1007/978-3-030-33459-8
Hardcover ISBN
978-3-030-33458-1
Softcover ISBN
978-3-030-33461-1
Auflage
1
Seitenzahl
XVI, 309
Anzahl der Bilder
101 schwarz-weiß Abbildungen, 183 Abbildungen in Farbe
Themen