Limits and Derivatives of Real Functions for Physicists

This book provides an in-depth introduction to the limits and derivatives of real functions, with a strong emphasis on practical applications in physics. The book demystifies the "why" behind calculus principles, making advanced mathematical concepts accessible without sacrificing rigor. This text provides precise definitions and properties of limits, continuity, and derivatives, ensuring a solid mathematical foundation. Readers will explore the limits and continuity of single-variable functions, as well as the properties and applications of derivatives. By emphasizing the connection between calculus and its applications in physics, students gain a deeper appreciation of the material and its relevance to their studies. The book covers the derivatives of exponential, logarithmic, and trigonometric functions, all of which are pivotal in various physics contexts.