Vector and Complex Calculus: A Textbook for Students of the Physical Sciences
Author: Fabian Waleffe (Contributor)
Publisher finelybook 出版社: OUP Oxford
Publication Date 出版日期: 2024-undefined-Oct.
Language 语言: English
Print Length 页数: 416 pages
ISBN-10: 0198927835
ISBN-13: 9780198927839
Book Description
Vector and complex calculus are essential for applications to electromagnetism, fluid and solid mechanics, and the differential geometry of surfaces. Moving beyond the limits of standard multivariable calculus courses, this comprehensive textbook takes students from the geometry and algebra of vectors, through to the key concepts and tools of vector calculus. Topics explored include the differential geometry of curves and surfaces, curvilinear coordinates, ending with a study of the essential elements of the calculus of functions of one complex variable. Vector and Complex Calculus is richly illustrated to help students develop a solid visual understanding of the material, and the tools and concepts explored are foundational for upper-level engineering and physics courses. Each chapter includes a section of exercises which lead the student to practice key concepts and explore further interesting results.
Review
This book is a deep rethinking of the pedagogy of a subject of much beauty and great depth, that is central to the education of scientists of the future. For the ambitious student it provides a stairway to climb higher.
―
Divakar Viswanath, University of MichiganWhat makes this book timely is the judicious selection of topics and the thoughtful and balanced treatment thereof, whereby the contents are limited to what is appropriate for a one-semester course. The treatment is careful and intuitive rather than rigorous and terse. The diagrams are well-designed and beautifully drawn. The exercises are neither routine nor redundant and build nicely to increasingly challenging levels. ―
Ashwani Kapila, Rensselaer Polytechnic InstituteAbout the Author
Professor Fabian Waleffe is a Professor in the Department of Mathematics, Dept. of Mechanical Engineering, and the Dept. of Engineering Physics at the University of Wisconsin-Madison. He has previously help positions as a Postdoctoral Fellow at Stanford University/NASA Ames, Center for Turbulence Research, MIT Applied Math, and has taught numerous courses at all levels.
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