9780282421663 - treatise on the differential calculus: and its applications to algebra and geometry, founded on the method of infinitesimals (classic reprint) de price, bartholomew (3 resultados)

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Paperback. Condición: New. Print on Demand. This book offers a comprehensive introduction to infinitesimal calculus, a branch of mathematics that explores concepts of continuity, infinity, and infinitesimal change. The author establishes foundational properties of numbers and develops theorems from which the calculus is carefull…y derived. Infinitesimal calculus, born from the study of continuous number, considers quantities that are capable of gradual growth and infinitesimal increase, represented by symbols of infinitesimals. This concept laid the foundation for differential calculus, a method of determining the rate of change of a function with respect to one or more independent variables. The book delves into the historical context of infinitesimal calculus, examining its evolution from the works of early mathematicians to Lagrange's influential contributions and its current state. Through a detailed analysis of theorems, the author demonstrates how these principles underpin the entire subject. This book provides a rigorous framework for understanding the theoretical underpinnings of infinitesimal calculus. Its insights into the nature of continuous number and the logical development of its theorems make it an invaluable resource for students, researchers, and anyone seeking a deeper understanding of this fundamental branch of mathematics. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item.