Advanced Calculus: A Text Upon Select Parts of Differential Calculus, Differential Equations, Integral Calculus, Theory of Functions (Classic Reprint) - Softcover

Edwin Bidwell Wilson

 
9781332773534: Advanced Calculus: A Text Upon Select Parts of Differential Calculus, Differential Equations, Integral Calculus, Theory of Functions (Classic Reprint)

Synopsis

This book delves into the intricate world of advanced calculus, guiding readers through a comprehensive exploration of differentiation, integration, and their applications. The author masterfully bridges the gap between fundamental concepts and more complex mathematical theory, providing a clear and structured approach to understanding the subject's intricacies. Emerging from the historical evolution of mathematical thought, this book presents a rigorous treatment of calculus, addressing key topics such as partial differentiation, differential equations, and infinite series. It delves into the theoretical underpinnings of these concepts, equipping readers with a deeper understanding of the mathematical principles at play. The thematic depth of the book lies in its ability to connect abstract mathematical ideas with practical applications. Through numerous examples and exercises, readers are encouraged to apply their knowledge to solve problems in physics, engineering, and other scientific disciplines. The book's exploration of topics such as maxima and minima, geometric properties of curves, and the calculus of variations demonstrates the power of calculus as a tool for understanding and modelling the natural world. In essence, this book's insights into advanced calculus illuminate the profound connections between mathematics and the physical world, empowering readers to appreciate the elegance and utility of this fundamental branch of mathematics.

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