Skip to content

Student's Guide to Vectors and Tensors

Best in textbook rentals since 2012!

ISBN-10: 0521193699

ISBN-13: 9780521193696

Edition: 2011

Authors: Daniel Fleisch

List price: $118.95
Shipping box This item qualifies for FREE shipping.
Blue ribbon 30 day, 100% satisfaction guarantee!

Rental notice: supplementary materials (access codes, CDs, etc.) are not guaranteed with rental orders.

what's this?
Rush Rewards U
Members Receive:
Carrot Coin icon
XP icon
You have reached 400 XP and carrot coins. That is the daily max!

Customers also bought

Book details

List price: $118.95
Copyright year: 2011
Publisher: Cambridge University Press
Publication date: 9/22/2011
Binding: Hardcover
Pages: 208
Size: 6.14" wide x 9.25" long x 0.55" tall
Weight: 0.946
Language: English

Definitions (basic)
Cartesian unit vectors
Vector components
Vector addition and multiplication by a scalar
Non-Cartesian unit vectors
Basis vectors
Chapter 1 problems
Vector operations
Scalar product
Cross product
Triple scalar product
Triple vector product
Partial derivatives
Vectors as derivatives
Nabla - the del operator
Chapter 2 problems
Vector applications
Mass on an inclined plane
Curvilinear motion
The electric field
The magnetic field
Chapter 3 problems
Covariant and contravariant vector components
Coordinate-system transformations
Basis-vector transformations
Basis-vector vs. component transformations
Non-orthogonal coordinate systems
Dual basis vectors
Finding covariant and contravariant components
Index notation
Quantities that transform contravariantly
Quantities that transform covariantly
Chapter 4 problems
Higher-rank tensors
Definitions (advanced)
Covariant, contravariant, and mixed tensors
Tensor addition and subtraction
Tensor multiplication
Metric tensor
Index raising and lowering
Tensor derivatives and Christoffel symbols
Covariant differentiation
Vectors and one-forms
1 Chapter 5 problems
Tensor applications
The inertia tensor
The electromagnetic field tensor
The Riemann curvature tensor
Chapter 6 problems
Further reading