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Based on the lecture notes for a course on Classical Mechanics, students with a basic knowledge of calculus should be able to follow this book. Unlike other textbooks, exercises are not included because the main goal is to equip students with the skills to problem-solve. An old-fashioned yet efficient method has been to provide a step-by-step derivation of the fundamental formulas, giving students an overview of the subject through various illustrative examples and showing how to apply the general results to relevant problems in Classical Mechanics.
Based on the lecture notes for a course on Classical Mechanics, students with a basic knowledge of calculus should be able to follow this book. Unlike other textbooks, exercises are not included because the main goal is to equip students with the skills to problem-solve. An old-fashioned yet efficient method has been to provide a step-by-step derivation of the fundamental formulas, giving students an overview of the subject through various illustrative examples and showing how to apply the general results to relevant problems in Classical Mechanics.
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 philosophers on the existence of innate ideas that allow us to understand the world and also the philosophically based arguments for and against the use of mathematics in physical sciences. In this context, Schopenhauer's conceptions of causality and matter are very pertinent, and their validity is revisited in light of modern physics. The final question addressed is whether the effectiveness of mathematics can be explained by its "existence" in an independent platonic realm, as Goedel believed. The book aims at readers interested in the history and philosophy of physics. It is accessible to those with only a very basic (not professional) knowledge of physics.
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