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About Vectors

by Banesh Hoffmann

A close look at what vectors mean

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AlbakiReads Editorial

A close look at what vectors mean

Banesh Hoffmann makes the definition of a vector a central question, connecting that conceptual issue to the mathematics built around it. The book moves through the parallelogram law, vector algebra, scalar and vector products, quotients of vectors, and tensors, combining pure and applied mathematics without calculus. Nearly 400 exercises give the subject a substantial problem-solving component. Its scope makes it usable as supplementary reading alongside textbooks or as collateral reading in courses that address vectors; the emphasis on an unresolved definition also opens room for discussion about the foundations of the topic.

Good fit for readers who enjoy

  • Students in courses involving vectors who want supplementary reading and exercises.
  • Instructors seeking a companion text that raises questions about how vectors are defined.
  • Readers interested in vector analysis presented without calculus.

Themes

Defining vectorsVector algebra and operationsTensorsPure and applied mathematics

Based on publisher information and book metadata.

Book overview

From his unusual beginning in "Defining a vector" to his final comments on "What then is a vector?" author Banesh Hoffmann has written a book that is provocative and unconventional. In his emphasis on the unresolved issue of defining a vector, Hoffmann mixes pure and applied mathematics without using calculus. The result is a treatment that can serve as a supplement and corrective to textbooks, as well as collateral reading in all courses that deal with vectors.Major topics include vectors and the parallelogram law; algebraic notation and basic ideas; vector algebra; scalars and scalar products; vector products and quotients of vectors; and tensors. The author writes with a fresh, challenging style, making all complex concepts readily understandable. Nearly 400 exercises appear throughout the text.Professor of Mathematics at Queens College at the City University of New York, Banesh Hoffmann is also the author of The Strange Story of the Quantum and other important books. This volume provides much that is new for both students and their instructors, and it will certainly generate debate and discussion in the classroom.
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