Excerpt from Elements of the Differential and Integral Calculus: By a New Method, Founded on the True System of Sir Isaac Newton, Without the Use of Infinitesimals or Limits
The only original birth-place Of the fundamental idea of quantity which forms the true germ Of the calculus, was in the mind of the immortal Newton. Starting with this idea, the results of the calculus follow logically and directly through the beaten track of mathematical thought, with that clearness of evidence which has ever been the boast of mathematics, and which leaves neither doubt nor distrust in the mind of the student.
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Paperback. Condition: New. Print on Demand. This book introduces the true method of Isaac Newtonâs Differential Calculus, which was based on the âsecond lemmaâ from his Principia. Before Newtonâs breakthrough, the study of mathematics was a static one, but his work opened the door to the study of dynamic quantities and rates of change. The author contrasts Newtonâs method with more recent ones and ultimately determines that Newtonâs is superior, as it derives a mathematical law not from any actual change, but from the conditions contained in the algebraic formula by which the variable function is expressed. Exploring the rate and direction of change, the author argues that this approach forms the groundwork of the entire transcendental analysis and thereby provides clarity to a subject that was, in the authorâs opinion, unnecessarily shrouded in mystery. 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. Seller Inventory # 9781330038321_0
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330038321
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330038321
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Taschenbuch. Condition: Neu. Neuware. Seller Inventory # 9781330038321