INTRODUCTION TO TENSOR CALCULUS and CONTINUUM MECHANICS
John H. Heinbockel
Very clear treatment on tensors and vector calculus, also free online!
http://www.math.odu.edu/~jhh/counter2.html
Chapters:
PART 1: INTRODUCTION TO TENSOR CALCULUS
x1.1 INDEX NOTATIONx1.2 TENSOR CONCEPTS AND TRANSFORMATIONS x1.3 SPECIAL TENSORS
x1.4 DERIVATIVE OF A TENSOR
x1.5 DIFFERENTIAL GEOMETRY AND RELATIVITY
PART 2: INTRODUCTION TO CONTINUUM MECHANICS
x2.1 TENSOR NOTATION FOR VECTOR QUANTITIES
x2.2 DYNAMICS
x2.3 BASIC EQUATIONS OF CONTINUUM MECHANICS
x2.4 CONTINUUM MECHANICS (SOLIDS)
x2.5 CONTINUUM MECHANICS (FLUIDS)
x2.6 ELECTRIC AND MAGNETIC FIELDS
It doesn’t’ carry the depth that the class does, but all the building blocks are very clearly stated and it shows the connections between fields very clearly.
Did I mention that its online and free?