Journey Into Mathematics Rotman Joseph J by Rotman, Joseph J instant download after payment.

DOVER BOOKS ON MATHEMATICS; Title Page; Copyright Page; Dedication; Preface; Table of Contents; 1 -- Introduction; 1.1. Mathematical theories and engineering science; 1.2. Scalars, vectors, and tensors; 1.3. Preview; BIBLIOGRAPHY; 2 -- Cartesian Vectors and Tensors: Their Algebra; 2.11. Definition of a vector; 2.12. Example of vectors; 2.13. Scalar multiplication; 2.21. Addition of vectors -- Coplanar vectors; 2.22. Unit vectors; 2.23. A basis of non-coplanar vectors; 2.31. Scalar product -- Orthogonality; 2.32. Vector product; 2.33. Velocity due to rigid body rotation.;This introductory text is geared toward engineers, physicists, and applied mathematicians at the advanced undergraduate and graduate levels. It applies the mathematics of Cartesian and general tensors to physical field theories and demonstrates them chiefly in terms of the theory of fluid mechanics. Numerous exercises appear throughout the text. 1962 edition.