This highly regarded undergraduate textbook’s third edition is appropriate for teaching all of the mathematics for a course in any of the physical sciences. It includes more than 800 exercises, clear explanations of all the topics, and several worked examples. New stand-alone chapters introduce quantum operators, cover a wider range of real-world uses for complex variables, and describe the “special functions” of physical research. There are now more tabulations that are pertinent to statistics and numerical integration. This edition includes complete solutions for half the exercises in a separate manual accessible to both students and their teachers.