Intended to follow the usual introductory physics courses, this book has
the unique feature of addressing the mathematical needs of sophomores
and juniors in physics, engineering and other related fields. Many
original, lucid, and relevant examples from the physical sciences,
problems at the ends of chapters, and boxes to emphasize important
concepts help guide the student through the material.
Beginning with reviews of vector algebra and differential and integral
calculus, the book continues with infinite series, vector analysis,
complex algebra and analysis, ordinary and partial differential
equations. Discussions of numerical analysis, nonlinear dynamics and
chaos, and the Dirac delta function provide an introduction to modern
topics in mathematical physics.
This new edition has been made more user-friendly through organization
into convenient, shorter chapters. Also, it includes an entirely new
section on Probability and plenty of new material on tensors and
integral transforms.