A Student's Guide to Vectors and Tensors
Part of Student's Guides
- Author: Daniel A. Fleisch, Wittenberg University, Ohio
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.Read more
- Uses plain language to explain vectors and tensors – some of the most powerful problem-solving tools available
- Supported by a host of online materials, including interactive solutions to the problems and audio podcasts
- Written by Daniel Fleisch, author of the highly popular A Student's Guide to Maxwell's Equations
Reviews & endorsements
'This is both helpful and innovative … Fleisch's book is an excellent and challenging resource for students in this subject area.' Optics and Photonics NewsSee more reviews
'In the reviewer's experience it takes students a long time to get a feeling for what vectors and especially tensors are, and in this respect this book is very useful: it helps them become confident in using and applying these concepts … Each chapter concludes with a section of problems and, moreover, the author supplies an interactive website and a series of audio podcasts. In the reviewer's opinion this book will certainly become as popular as the author's book A Student's Guide to Maxwell's Equations which uses the same approach.' Rabe von Randow, Zentralblatt MATH
'This highly readable introductory book will be of great assistance to those taking undergraduate or graduate courses and meeting tensors for the first time.' George Matthews, Institute of Mathematics and its Applications (ima.org.uk)
15th Apr 2015 by Mlundwall
Great step by step introduction to a rather heavy subject. However I still miss some practical examples of vectors with both co and contravariant coordinates, but neither have I found them in other books on the subject.See all reviews
11th Apr 2016 by BenjaminBrink
Astronomy, mathematics, and physics use different coordinate systems and vector representations. When a vector system or problem includes others' work, tacit assumptions in material can lead to confusion over even the simplest things. This book is the best resource I have found for clearing the fog and re-establishing coherence in transformations and vector speak. Clearly and concisely written. Portable.
26th May 2016 by Neha0980
Amazing . I am a non physicist and found this book very useful
Review was not posted due to profanity×
- Date Published: March 2012
- format: Adobe eBook Reader
- isbn: 9781139180269
- contains: 80 b/w illus. 50 exercises
- availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
Table of Contents
2. Vector operations
3. Vector applications
4. Covariant and contravariant vector components
5. Higher-rank tensors
6. Tensor applications
Find resources associated with this titleYour search for '' returned .
Type Name Unlocked * Format Size
This title is supported by one or more locked resources. Access to locked resources is granted exclusively by Cambridge University Press to lecturers whose faculty status has been verified. To gain access to locked resources, lecturers should sign in to or register for a Cambridge user account.
Please use locked resources responsibly and exercise your professional discretion when choosing how you share these materials with your students. Other lecturers may wish to use locked resources for assessment purposes and their usefulness is undermined when the source files (for example, solution manuals or test banks) are shared online or via social networks.
Supplementary resources are subject to copyright. Lecturers are permitted to view, print or download these resources for use in their teaching, but may not change them or use them for commercial gain.
If you are having problems accessing these resources please contact firstname.lastname@example.org.
Sorry, this resource is locked