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​This book deals with the rise of mathematics in physical sciences, beginning with Galileo and Newton and extending to the present day. The book is divided into two parts. The first part gives a brief history of how mathematics was introduced into physics—despite its "unreasonable effectiveness" as famously pointed out by a distinguished physicist—and the criticisms it received from earlier thinkers. The second part takes a more philosophical approach and is intended to shed some light on that mysterious effectiveness. For this purpose, the author reviews the debate between classical...

This collection of books provides thorough yet accessible coverage of classical mechanics, an old subject that is at the base of all of physics but encounters rapid development in recent years. Lagrangian mechanics and Hamiltonian mechanics are being used extensively in explaining classical mechanics concepts. With detailed derivations and explanations, this book series targets undergraduates and graduates in Physics and applied mathematics and provides focused guidance for their studies by repeatedly emphasizing how various topics are tied together by common physics principles.