Differential Forms
(* This no longer works in Mathematica 3.0. The file forms.defs.m overloads the wedge symbol, and 3.0 is more clever and confuses powers with wedges. *) (* Probably I should rework it to use a different symbol. *)

Preface

Section 0: Introduction

Section 1: Algebra of Forms
Addition, Scalar Multiplication and Wedge Product

Section 2: Determinants

Section 3: Exterior Differentiation

Section 4: Dot and Cross Products

Section 5: Generalized Stokes Theorem

Section 6: Classical Mechanics

Section 7: Maxwell's Equations

Section 8: Differential Equations

Section 9: Differential Geometry

Section 10: Fluid Mechanics

References

Acknowledgements

Statistical Mechanics: Entropy, Order Parameters, and Complexity, now available at Oxford University Press (USA, Europe).