Title
The History of the Calculus and Its Conceptual Development (Dover Books on Mathematics),Used
Delivery time: 8-12 business days (International)
This book, for the first time, provides laymen and mathematicians alike with a detailed picture of the historical development of one of the most momentous achievements of the human intellect the calculus. It describes with accuracy and perspective the long development of both the integral and the differential calculus from their early beginnings in antiquity to their final emancipation in the 19th century from both physical and metaphysical ideas alike and their final elaboration as mathematical abstractions, as we know them today, defined in terms of formal logic by means of the idea of a limit of an infinite sequence.But while the importance of the calculus and mathematical analysis the core of modern mathematics cannot be overemphasized, the value of this first comprehensive critical history of the calculus goes far beyond the subject matter. This book will fully counteract the impression of laymen, and of many mathematicians, that the great achievements of mathematics were formulated from the beginning in final form. It will give readers a sense of mathematics not as a technique, but as a habit of mind, and serve to bridge the gap between the sciences and the humanities. It will also make abundantly clear the modern understanding of mathematics by showing in detail how the concepts of the calculus gradually changed from the Greek view of the reality and immanence of mathematics to the revised concept of mathematical rigor developed by the great 19th century mathematicians, which held that any premises were valid so long as they were consistent with one another. It will make clear the ideas contributed by Zeno, Plato, Pythagoras, Eudoxus, the Arabic and Scholastic mathematicians, Newton, Leibnitz, Taylor, Descartes, Euler, Lagrange, Cantor, Weierstrass, and many others in the long passage from the Greek 'method of exhaustion' and Zeno's paradoxes to the modern concept of the limit independent of sense experience; and illuminate not only the methods of mathematical discovery, but the foundations of mathematical thought as well.
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Returns
To facilitate a smooth return process, a Return Authorization (RA) Number is required for all returns. Returns without a valid RA number will be declined and may incur additional fees. You can request an RA number within 15 days of the original delivery date. For more details, please refer to our Return & Refund Policy page.
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Warranty
We provide a 2-year limited warranty, from the date of purchase for all our products.
If you believe you have received a defective product, or are experiencing any problems with your product, please contact us.
This warranty strictly does not cover damages that arose from negligence, misuse, wear and tear, or not in accordance with product instructions (dropping the product, etc.).
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Frequently Asked Questions
- Q: What is the main focus of 'The History of the Calculus and Its Conceptual Development'? A: The book provides a comprehensive historical overview of the development of calculus, detailing its evolution from ancient times to the 19th century, and discusses how concepts shifted from philosophical ideas to rigorous mathematical frameworks.
- Q: Who is the author of this book? A: The author is Carl B. Boyer, a noted historian of mathematics.
- Q: How many pages does the book contain? A: The book contains 368 pages.
- Q: When was this book published? A: It was published on June 1, 1959.
- Q: What type of binding does the book have? A: The book is available in paperback binding.
- Q: Is this book suitable for beginners in mathematics? A: Yes, the book is designed to cater to both laymen and mathematicians, providing insights into the historical context of calculus without requiring advanced mathematical knowledge.
- Q: What can readers expect to learn from this book? A: Readers will learn about the historical progression of calculus, key contributors to its development, and how mathematical concepts evolved over time.
- Q: Does this book include discussions on famous mathematicians? A: Yes, it discusses contributions from notable mathematicians such as Newton, Leibnitz, and Euler, among others.
- Q: Is there any discussion of the philosophical implications of calculus in this book? A: Yes, the book explores the philosophical context of calculus, including how it transitioned from metaphysical ideas to formal logic and mathematical abstraction.
- Q: What edition of the book is available? A: The book is available in its First Edition.