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Tensor Calculus for Physics: A Concise Guide, by Dwight E. Neuenschwander
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Understanding tensors is essential for any physics student dealing with phenomena where causes and effects have different directions. A horizontal electric field producing vertical polarization in dielectrics; an unbalanced car wheel wobbling in the vertical plane while spinning about a horizontal axis; an electrostatic field on Earth observed to be a magnetic field by orbiting astronauts―these are some situations where physicists employ tensors. But the true beauty of tensors lies in this fact: When coordinates are transformed from one system to another, tensors change according to the same rules as the coordinates. Tensors, therefore, allow for the convenience of coordinates while also transcending them. This makes tensors the gold standard for expressing physical relationships in physics and geometry.
Undergraduate physics majors are typically introduced to tensors in special-case applications. For example, in a classical mechanics course, they meet the "inertia tensor," and in electricity and magnetism, they encounter the "polarization tensor." However, this piecemeal approach can set students up for misconceptions when they have to learn about tensors in more advanced physics and mathematics studies (e.g., while enrolled in a graduate-level general relativity course or when studying non-Euclidean geometries in a higher mathematics class).
Dwight E. Neuenschwander's Tensor Calculus for Physics is a bottom-up approach that emphasizes motivations before providing definitions. Using a clear, step-by-step approach, the book strives to embed the logic of tensors in contexts that demonstrate why that logic is worth pursuing. It is an ideal companion for courses such as mathematical methods of physics, classical mechanics, electricity and magnetism, and relativity.
- Sales Rank: #571788 in Books
- Brand: Neuenschwander, Dwight E.
- Published on: 2014-11-04
- Released on: 2014-11-04
- Original language: English
- Number of items: 1
- Dimensions: 9.00" h x .61" w x 6.00" l, .0 pounds
- Binding: Paperback
- 248 pages
Review
Dr. Neuenschwander has written the book I wish I could have read when I was learning mathematical physics. It is colloquial yet authoritative, with many treasures lurking within the chapters. The book brings a breath-taking cohesion to the varied ideas about vectors and tensors that are typically spread across the undergraduate’s school terms haphazardly. It is the book I’ll want to have nearby next time I teach special or general relativity, or upper-level electromagnetism or rotational dynamics, as much for the historical tidbits and definitive examples, as for its asides about vocabulary and conventions and for its bibliography.
(Gary White, Editor, The Physics Teacher, American Association of Physics Teachers)This book is well written and has sufficient rigor to allow students to use it for independent study.
(Choice)An introductory Tensor Calculus for Physics book is a most welcome addition... Professor Neuenschwander's book fills the gap in robust fashion.
(American Journal of Physics) About the Author
Dwight E. Neuenschwander is a professor of physics at Southern Nazarene University. He is a columnist for the Observer, the magazine of the Society for Physics Students, and the author of Emmy Noether's Wonderful Theorem, also published by Johns Hopkins, and How to Involve Undergraduates in Research: A Field Guide for Faculty.
Most helpful customer reviews
21 of 21 people found the following review helpful.
Great Book and Good Material Seriously Flawed by Bad Printing -- Amazon needs to pull these copies as they are not usable.
By K7PEH
I am yet another buyer of this book now returned to Amazon for refund. And, the reason is as others have said. The printing has serious and major flaws making the book totally unusable for study. But, from what I did read, I think it is an excellent book and it has all the merits of being great when these printing problems get fixed. I am writing this because Amazon needs to yank these printings of this book with the flaws from their shelves and save others from the disappointment and hassle of returning the book to Amazon. It would be nice if Amazon had some kind of alert system so that they can let us know when a fixed printing of the book is available.
The one-star review is unfortunate -- Amazon calls this level "I Hate It" -- but, I don't hate the book, just the flawed manufacture of the book!
21 of 21 people found the following review helpful.
From 1 star to 5 stars
By James M. Cargal
Very quickly; this book may be the best introduction to tensors there is. However, earlier I had given the book 1 star based upon that particular printing which was unspeakably bad and which made the book unreadable. Therefore I had sent the book back to Amazon. I heard nothing from anybody about it but I noticed simply by using the "Look inside" feature that the printing had been corrected. I have now secured a second copy from Amazon which is perfect, and I needed to correct the record!
16 of 17 people found the following review helpful.
Defective book
By James H. Luscombe
Imagine a serious book on mathematics without equations! Almost EVERY equation has parts of it that are simply not printed. Certain letters in words are not printed either. There are simply gaps in words where letters would have gone. Defective book! Because others have had the same problem, I am asking for a refund.
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