Waldyr Alves Rodrigues Jr, full professor of Mathematical Physics, at the State University
of Campinas, São Paulo,
Brazil, received his BSc from the University of São Paulo, and his PhD from the University of Torino, Italy. He has held various
positions at Brazilian and European universities, one of them being director of
the Institute of Mathematics, Statistics and Scientific Computation, State
University of Campinas (IMECC-UNICAMP) from 1994 to1998. He has more than 40
years of teaching experience in more than 70 courses at graduate and
post-graduate levels. As a researcher he received many grants, and various
prizes - especially in 2012 he won the Paul Sabatier honor medal in 2012 for his
contributions to applications of Clifford algebras to mathematical physics.
He is the editor-in-chief of the journal "Advances in Applied Clifford Algebras".

Comprehensive differential geometry reference

work in its second, revised and expanded edition

calculation procedures with many exercises and detailed solutions

Provides lists of mathematical symbols, acronyms
and abbreviations

Preface.- Introduction.- Multivector and Extensor Calculus.- The Hidden Geometrical Nature of Spinors.- Some Differential Geometry.- Clifford Bundle Approach to the Differential Geometry of Branes.- Some Issues in Relativistic Spacetime Theories.- Clifford and Dirac-Hestenes Spinor Fields.- A Clifford Algebra Lagrangian Formalism in Minkowski Spacetime.- Conservation Laws on Riemann-Cartan and Lorentzian Spacetimes.- The DHE on a RCST and the Meaning of Active Local Lorentz Invariance.- On the Nature of the Gravitational Field.- On the Many Faces of Einstein Equations.- Maxwell, Dirac and Seiberg-Witten Equations.- Superparticles and Superfields.- Maxwell, Einstein, Dirac and Navier-Stokes Equations.- Magnetic Like Particles and Elko Spinor Fields.-Appendices A1-5.- Acronyms and Abbreviations.- List of Symbols.- Index.