Honors Classical Mechanics: From Special Relativity to Newtonian Mechanics

A modern introduction to classical mechanics that allows students to develop confidence, a broad mathematical tool kit, and a correct physical intuition while working in a collaborative and supportive environment Undergraduate physics students must often “unlearn” aspects of classical mechanics as they progress through college and graduate school. This book, by introducing classical mechanics as the limiting case in special relativity of an infinite speed of light, eliminates the need for such backtracking. Starting with time/space and energy/momentum, the book allows students to solve problems addressing modern topics of research in astronomy, cosmology, and particle physics. The text then derives Newtonian mechanics, and covers the full syllabus of a conventional introductory course, but at a deeper level of mathematical sophistication for topics such as rigid body and planetary motion. Extensive mathematical appendixes are integrated into the text, as are curated problems sets in each chapter. The book is intended as a long-overdue revision of both the curriculum and pedagogy of the traditional introductory honors classical mechanics course. Begins with special relativity as a “leveler” that puts all students at the same starting point Relies on cooperative learning rather than a competitive “weed-out” mentality Emphasizes developing mathematical tools as a precise and powerful language in the context of developing a correct intuition and better understanding of physical phenomena Enables a more rapid path through the conventional undergraduate physics curriculum, preparing students for advanced courses in science and engineering