Vector Analysis and Cartesian Tensors, Third edition 3rd Edition by P C Kendall (PDF)

Description

This is a comprehensive and self-contained text suitable for use by undergraduate mathematics, science and engineering students. Vectors are introduced in terms of cartesian components, making the concepts of gradient, divergent and curl particularly simple. The text is supported by copious examples and progress can be checked by completing the many problems at the end of each section. Answers are provided at the back of the book.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐I recommend Bourne and Kendall’s text for anyone that is somewhat familiar with vector concepts and wants to delve a bit more deeply in vector analysis. The authors use a component analysis approach and even introduce tensor notation early. Emphasis is placed on transforms between cartesian, cylindrical, and spherical coordinates. Occasional reference is made to technical applications, but this book focuses on the mathematics, not the technical applications. However, a short chapter looks at potential field applications. My review is based on an early edition; more recent versions contain a chapter on Cartesian tensors.I liked the way in which the authors introduced related topics like Jacobian transformations, scalar invariant operators, and differential geometry topics. Although the earliest edition is now a few decades old, the notation (del operator, coordinate suffixes, etc.) is current.For an introductory text that is particularly suitable as a self-tutorial I highly recommend H. M. Schey’s Div, Grad, Curl and All That, 3rd edition, available in paperback.

⭐This is a clear introduction to the concepts and techniques of vector analysis. The emphasis is on practical mathematics. For those interested mainly in applications to physics or engineering, this book provides about as clear and concise a presentation as is possible. It will give the reader many of the mathematical tools needed to understand and solve problems in classical mechanics, electromagnetism, fluid dynamics, and other areas.

⭐In my searching for a good book to help me better understand vector analysis, I found this book and liked it very much. The text is easily understandable and is a very good introduction to this subject.

⭐I bought this book to help with my first year undergraduate maths course, and it was extremely helpful. Concepts were introduced in a very clear way, and I had almost no issue understanding the concepts when they were introduced (as opposed to in lectures where things were often unclear!). I was initially slightly confused with they way in which vectors were introduced as rotationally invariant objects, having already done a course in linear algebra and seeing them described as elements of a vector space. However, the reasoning became clear when tensors were introduced, since tensors are defined as higher dimensional, rotationally invariant objects (thus making it clear that vectors are just a one dimensional example of tensors).It also had many worked examples to really get a feel for the material, along with some good, if basic, problems at the end of each. I would recommend this book for anyone interested in getting a good understanding and intuition of vector analysis.

⭐An overlooked gem. This is the kind of book which starts explaining something, and does it extremely well, but you don’t quite catch what does it have to do with anything, and then 5 pages later you have that “aha!” moment when everything just clicks because of that seemingly-unrelated concept from before. One of the best maths books I’ve had business with.That said, the application to mechanics chapter doesn’t make any sense and causes a lot of frustration, and I say this as a seasoned physics student.

⭐Excellent

⭐This book covers topic not completelyRequires elebaration

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