Leibniz On The Foundations Of The Differential Calculus


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Leibniz on the Foundations of the Differential Calculus


Leibniz on the Foundations of the Differential Calculus

Author: Richard T. W. Arthur

language: en

Publisher: Springer Nature

Release Date: 2025-03-05


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This monograph presents an interpretive essay on the foundations of Leibniz’s calculus, accompanied by key texts in English translation. The essay examines Leibniz's evolving views on infinitesimals and infinite numbers, tracing their development from his early metaphysical ideas to his mature justifications of the calculus. Leibniz first proposed treating infinitesimals as fictions in the 1670s, in line with the mathematical practices of his time, where abstract concepts could be used in calculations without implying their existence. By 1676, he rejected their status as quantities, yet continued to refine his arguments on this topic into the 1690s. The essay concludes with an analysis of Leibniz’s defense of his calculus in the early 18th century, showing how his later works naturally extended from earlier insights. This monograph will be a valuable resource for scholars and students of Leibniz and the history of science.

Basics of Differential Calculus


Basics of Differential Calculus

Author: Dr. Mahesh Kumar Gupta

language: en

Publisher: Pen and Paper Academy

Release Date:


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An academic guide for clarity, comprehension, and confidence in mathematics. This book is the result of dedicated effort, collaboration, and a deep desire to make mathematics more accessible for undergraduate and postgraduate students. Aligned with the academic curriculum, this resource is built to simplify complex mathematical concepts and strengthen the learner’s foundational understanding. 📘 What this book offers: Clear, concept-based explanations Illustrative and practical examples Step-by-step problem-solving approaches Exercises aligned with B.Sc. and M.Sc. standards Academic references and real-world application More than just a textbook, this is a bridge between abstract theory and real understanding, crafted for students who want to master the fundamentals and apply them with confidence. Recommended for: B.Sc. and M.Sc. Mathematics students Aspirants preparing for academic exams or competitive tests Educators and institutions seeking comprehensive resources

The Bloomsbury Dictionary of Eighteenth-Century German Philosophers


The Bloomsbury Dictionary of Eighteenth-Century German Philosophers

Author: Heiner F. Klemme

language: en

Publisher: Bloomsbury Publishing

Release Date: 2016-06-30


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The Bloomsbury Dictionary of Eighteenth-Century German Philosophers is a landmark work. Covering one of the most innovative centuries for philosophical investigation, it features more than 650 entries on the eighteenth-century philosophers, theologians, jurists, physicians, scholars, writers, literary critics and historians whose work has had lasting philosophical significance. Alongside well-known German philosophers of that era-Gottfried Wilhelm Leibniz, Immanuel Kant, and Georg Wilhelm Friedrich Hegel-the Dictionary provides rare insights into the lives and minds of lesser-known individuals who influenced the shape of philosophy. Each entry discusses a particular philosopher's life, contributions to the world of thought, and later influences, focusing not only on their most important published writings, but on relevant minor works as well. Bibliographical references to primary and secondary source material are included at the end of entries to encourage further reading, while extensive cross-referencing allows comparisons to be easily made between different thinkers' ideas and practices. For anyone looking to understand more about the century when enlightenment thinking arrived in Germany and established conceits were challenged, The Bloomsbury Dictionary of Eighteenth-Century German Philosophers is a valuable, unparalleled resource.