Advanced Calculus (Classic Reprint)

This book delves into the intricate world of advanced calculus, guiding readers through the fundamental rules and theories that underpin this complex mathematical field. The author skillfully bridges the gap between basic calculus concepts and more advanced topics, making it an invaluable resource for students transitioning to higher-level mathematics. Set against the backdrop of the early 20th century, where the demand for rigorous mathematical understanding was rapidly growing, especially in physics and engineering, this book addresses the need for a comprehensive and adaptable textbook. It covers a wide range of essential subjects, including differentiation, integration, Taylor's formula, partial differentiation, differential equations, and complex numbers. The author emphasizes the practical application of these concepts, providing numerous exercises that challenge readers to develop their problem-solving skills and mathematical intuition. With its clear explanations, detailed examples, and focus on real-world applications, this book equips readers with the tools they need to confidently explore the vast landscape of advanced calculus. Forgotten Books publishes hundreds of thousands of rare and classic books.This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.This text has been digitally restored from a historical edition. Some aesthetic errors may persist, however it has been deemed that any such will not detract from the work's significant historical value.The digital edition of all books may be viewed on our website before purchase.