Imaginary Infinitesimal
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The Nature Of Infinitesimals
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Author : Peter F. Erickson
language : en
Publisher: Xlibris Corporation
Release Date : 2006-05-05
The Nature Of Infinitesimals written by Peter F. Erickson and has been published by Xlibris Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-05-05 with Mathematics categories.
Erickson explores and explains the infinite and the infinitesimal with application to absolute space, time and motion, as well as absolute zero temperature in this thoughtful treatise. Mathematicians, scientists and philosophers have explored the realms of the continuous and discrete for centuries. Erickson delves into the history of these concepts and how people learn and understand them. He regards the infinitesimal as the key to understanding much of the scientific basis of the universe, and intertwines mathematical examples and historical context from Aristotle, Kant, Euler, Newton and more with his deductions-resulting in a readable treatment of complex topics. The reader will gain an understanding of potential versus actual infinity, irrational and imaginary numbers, the infinitesimal, and the tangent, among other concepts. At the heart of Ericksons work is the veritable number system, in which positive and negative numbers are incompatible for the basic mathematical operations of addition, subtraction, multiplication, division, roots and ratios. This number system, he demonstrates, can provide a new interpretation of imaginary numbers, as a combination of the real and the veritable. Erickson further explores limits, derivatives and integrals before turning his attention to non-Euclidean geometry. In each topic, he applies his new understanding of the infinitesimal to the ideas of mathematics and draws conclusions. In the case of non-Euclidean geometry, the author determines that its inconsistent with the infinitesimal. Erickson supplies illustrative examples both in words and images-he clearly defines new notation as needed for concepts such as eternity, the infinitesimal, the instant and an unlimited quantity. In the final chapters, the author addresses absolute space, time and motion through the lens of the infinitesimal. While explaining his deductions and thoughts on these complex topics, he raises new questions for his readers to contemplate, such as the origin of memory. A weighty tome for devotees of mathematics and physics that raises interesting questions.
Imaginary Infinitesimal
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Author : Jaret Co
language : en
Publisher: Independently Published
Release Date : 2022-11-08
Imaginary Infinitesimal written by Jaret Co and has been published by Independently Published this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-08 with categories.
Descriptions of the lowercase "i", "imaginary infinitesimal" is a collection of instapoetry, short poems with illustrations, that touches varied themes such as introspection, solitude, loss, yearning, existentialism, love, and grief.
A Primer Of Infinitesimal Analysis
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Author : John L. Bell
language : en
Publisher: Cambridge University Press
Release Date : 2008-04-07
A Primer Of Infinitesimal Analysis written by John L. Bell and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-04-07 with Mathematics categories.
A rigorous, axiomatically formulated presentation of the 'zero-square', or 'nilpotent' infinitesimal.
Calculus Of Imaginary Quantities Residual Calculus And Integral Calculus
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Author : Benjamin Peirce
language : en
Publisher:
Release Date : 1846
Calculus Of Imaginary Quantities Residual Calculus And Integral Calculus written by Benjamin Peirce and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1846 with Calculus categories.
Cauchy S Calcul Infinit Simal
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Author : Dennis M. Cates
language : en
Publisher: Springer
Release Date : 2019-04-03
Cauchy S Calcul Infinit Simal written by Dennis M. Cates and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-03 with Mathematics categories.
This book is a complete English translation of Augustin-Louis Cauchy's historic 1823 text (his first devoted to calculus), Résumé des leçons sur le calcul infinitésimal, "Summary of Lectures on the Infinitesimal Calculus," originally written to benefit his École Polytechnique students in Paris. Within this single text, Cauchy succinctly lays out and rigorously develops all of the topics one encounters in an introductory study of the calculus, from his classic definition of the limit to his detailed analysis of the convergence properties of infinite series. In between, the reader will find a full treatment of differential and integral calculus, including the main theorems of calculus and detailed methods of differentiating and integrating a wide variety of functions. Real, single variable calculus is the main focus of the text, but Cauchy spends ample time exploring the extension of his rigorous development to include functions of multiple variables as well as complex functions. This translation maintains the same notation and terminology of Cauchy's original work in the hope of delivering as honest and true a Cauchy experience as possible so that the modern reader can experience his work as it may have been like 200 years ago. This book can be used with advantage today by anyone interested in the history of the calculus and analysis. In addition, it will serve as a particularly valuable supplement to a traditional calculus text for those readers who desire a way to create more texture in a conventional calculus class through the introduction of original historical sources.
An Elementary Treatise On Curves Functions And Forces Calculus Of Imaginary Quantities Residual Calculus And Integral Calculus
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Author : Benjamin Peirce
language : en
Publisher:
Release Date : 1846
An Elementary Treatise On Curves Functions And Forces Calculus Of Imaginary Quantities Residual Calculus And Integral Calculus written by Benjamin Peirce and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1846 with Calculus categories.
Handbook Of The History And Philosophy Of Mathematical Practice
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Author : Bharath Sriraman
language : en
Publisher: Springer Nature
Release Date :
Handbook Of The History And Philosophy Of Mathematical Practice written by Bharath Sriraman and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Applied Mechanics Of Solids
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Author : Allan F. Bower
language : en
Publisher: CRC Press
Release Date : 2009-10-05
Applied Mechanics Of Solids written by Allan F. Bower and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-10-05 with Science categories.
Modern computer simulations make stress analysis easy. As they continue to replace classical mathematical methods of analysis, these software programs require users to have a solid understanding of the fundamental principles on which they are based.Develop Intuitive Ability to Identify and Avoid Physically Meaningless PredictionsApplied Mechanics o
Infinitesimal Complex Calculus
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Author : H. Vic Dannon
language : en
Publisher:
Release Date : 2014
Infinitesimal Complex Calculus written by H. Vic Dannon and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with Calculus categories.
Quantum Signatures Of Chaos
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Author : Fritz Haake
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-04-21
Quantum Signatures Of Chaos written by Fritz Haake and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-04-21 with Science categories.
This classic text provides an excellent introduction to a new and rapidly developing field of research. Now well established as a textbook in this rapidly developing field of research, the new edition is much enlarged and covers a host of new results.