Introduction to Infinitesimal Analysis: Functions of One Real Variable (Classic Reprint) - Softcover

Oswald Veblen

 
9781332327645: Introduction to Infinitesimal Analysis: Functions of One Real Variable (Classic Reprint)

Synopsis

This book introduces foundational theorems of infinitesimal calculus, providing an essential reference for advanced calculus and theory of functions courses. The author establishes the real number system with logical rigor and clarity, laying a firm foundation for higher-level mathematics. Rigorous arguments are made accessible, illustrating the importance of a precise understanding of irrational numbers and their relation to rational numbers. A detailed treatment of transcendental numbers is included, adding depth to the discussion of irrational numbers. This book's systematic organization and thought-provoking exercises challenge students to explore the subject at an advanced level. By exploring the intricacies of calculus, this book enhances understanding, fostering a solid grasp of the subject's theoretical underpinnings.

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