A Primer of Infinitesimal Analysis

Infinitesimal
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  • A Primer of Infinitesimal Analysis (2nd ed.)
  • Passar bra ihop
  • A Primer of Infinitesimal Analysis

    • In this new and updated edition, basic calculus, together with some of its applications to simple physical problems, are presented through the use of a straightforward, rigorous, axiomatically formulated concept of 'zero-square', or 'nilpotent' infinitesimal - that is, a quantity so small that its square and all higher powers can be set, to zero. The systematic employment of these infinitesimals reduces the differential calculus to simple algebra and, at the same time, restores to use the "infinitesimal" methods figuring in traditional applications of the calculus to physical problems - a number of which are discussed in this book.

    وصف الكتاب

    This edition also contains an expanded historical and philosophical introduction. Pages: Product dimensions: 6. About the Author John L. He is the author of 7 other books, including Models and Ultraproducts with A. Machover, Logical Options with D. DeVidi and G.

    A Primer of Infinitesimal Analysis (2nd ed.)

    Table of Contents Introduction; 1. Basic features of smooth worlds; 2.

    1. infinitesimal-analysis;
    2. A Primer of Infinitesimal Analysis - PDF Free Download!
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    4. A primer of infinitesimal analysis;
    5. Rationality and the Analysis of International Conflict.
    6. Buffalo Cake and Indian Pudding.
    7. Infinitesimal -- from Wolfram MathWorld!

    Add more categories. Review This Product. Welcome to Loot. Checkout Your Cart Price. Description Details Customer Reviews One of the most remarkable recent occurrences in mathematics is the refounding, on a rigorous basis, of the idea of infinitesimal quantity, a notion that played an important role in the early development of the calculus and mathematical analysis.

    Passar bra ihop

    In this book, basic calculus, together with some of its applications to simple physical problems, are presented through the use of a straightforward, rigorous, axiomatically formulated concept of "zero-square", or "nilpotent" infinitesimal--that is, a quantity so small that its square and all higher powers can be set, literally, to zero. As the author shows, the systematic employment of these infinitesimals reduces the differential calculus to simple algebra and, at the same time, restores to use the "infinitesimal" methods figuring in traditional applications of the calculus to physical problems--a number of which are discussed in this book.

    The text also contains a historical and philosophical introduction, a chapter describing the logical features of the infinitesimal framework, and an Appendix sketching the developments in the mathematical discipline of category theory that have made the refounding of infinitesimals possible. This specific ISBN edition is currently not available.

    A Primer of Infinitesimal Analysis

    View all copies of this ISBN edition:. Synopsis About this title One of the most remarkable recent occurrences in mathematics is the refounding, on a rigorous basis, of the idea of infinitesimal quantity, a notion that played an important role in the early development of the calculus and mathematical analysis.

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    Book Description : This book provides an approach to the calculus and its applications to physical problems using a concept of the infinitesimal -- that is, of a quantity so small that, while not necessarily zero, is nevertheless smaller than any finite quantity. About the Author : John L.

    • Infinitesimal-analysis dictionary definition | infinitesimal-analysis defined!
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