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Product Description
Product Description
Vectors and tensors are among the most powerful problem-solving tools available, with applications ranging from mechanics and electromagnetics to general relativity. Understanding the nature and application of vectors and tensors is critically important to students of physics and engineering. Adopting the same approach used in his highly popular A Student's Guide to Maxwell's Equations, Fleisch explains vectors and tensors in plain language. Written for undergraduate and beginning graduate students, the book provides a thorough grounding in vectors and vector calculus before transitioning through contra and covariant components to tensors and their applications. Matrices and their algebra are reviewed on the book's supporting website, which also features interactive solutions to every problem in the text where students can work through a series of hints or choose to see the entire solution at once. Audio podcasts give students the opportunity to hear important concepts in the book explained by the author.
Book Description
Adopting the same approach used in his highly popular A Student's Guide to Maxwell's Equations, Fleisch explains vectors and tensors in plain language to give undergraduate and beginning graduate students a better understanding of how to use vectors and tensors to solve problems in physics and engineering.
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Customer Reviews
Most Helpful Customer Reviews
8 of 8 people found the following review helpful
Format:Paperback|Amazon Verified Purchase
What an outstanding book, I just wish I'd had it 10 years ago. The book is very deceptive - it is slim and starts out at what seems like an elementary as well as slow pace but don't be fooled. It's all there and more some; and everything is explained so clearly - Daniel Fleisch deserves a medal
5 of 5 people found the following review helpful
Format:Paperback
I am a retired person who is interested in philosophical matters. My interest in this book was to improve my mathematics beyond vector analysis so that I could better appreciate the philosophical implications of cosmological theories. After reading this book I now feel that I can approach books on cosmology such as those of Penrose, e.g., with more confidence and understanding. The book is written in such a clear and thorough manner that I can follow Schaum's Tensor Analysis with ease. The transition from vectors to tensors is, of course, the fundamental grasp of dual base vectors and contravariant and covariant components. These are all thoroughly analysed in the text. I would recommend this book to anyone having difficulty making this transition. Students of mathmatics, engineering, or physics will find the applications very helpful, as did I. This book will save students many headaches and will substitute for much reading and effort. An excellent introduction to the subject.
3 of 3 people found the following review helpful
Format:Paperback
An excellent book that will take you on a steady journey from the world of vectors and their applications, through to non-cartesian coordinate systems, basis vectors and dual vectors, covariant and contravariant components and finally through to tensors themselves. Dr Fleish's skill is in drawing out and communicating at each stage all of the really important insights before moving gradually onto the next topic. There are end of chapter problems with online hints and full solutions. Overall a great text and especially helpful for the independant student.
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Most Recent Customer Reviews
Brilliant Book!
I totally agree with Ronald Bascom. I wish I'd had this book recommended to me before starting my OU course on relativity.
Published 2 months ago by Mr. P. J. Madelaine
A Students guide toVectors and Tensors
Another brilliant book by Dan Fleisch. This is the only book on tensors which explains what tensors are! Read more
Published 3 months ago by D. C. Taylor
A Student's Guide to Vectors and Tensors
Many otherwise excellent maths books suffer from a serious failing - they fail to provide solutions to the problems they contain and so render themselves of limited value for... Read more
Published 4 months ago by Philomath
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