The Nature of Infinitesimals

Nonfiction, Science & Nature, Mathematics, Infinity
Cover of the book The Nature of Infinitesimals by Peter F. Erickson, Xlibris US
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Peter F. Erickson ISBN: 9781479701841
Publisher: Xlibris US Publication: May 5, 2006
Imprint: Xlibris US Language: English
Author: Peter F. Erickson
ISBN: 9781479701841
Publisher: Xlibris US
Publication: May 5, 2006
Imprint: Xlibris US
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Xlibris US

Cover of the book Sidetracked by Peter F. Erickson
Cover of the book Tracking the Bullet Saved My Child by Peter F. Erickson
Cover of the book The Ultimate Gambit by Peter F. Erickson
Cover of the book If I Can Do It You Can Do It by Peter F. Erickson
Cover of the book A Poem in Your Day by Peter F. Erickson
Cover of the book Reality Continued by Peter F. Erickson
Cover of the book Ancestral Roots and Descendants of Charles Robert Looney and Lavanchie Margaret Cool and the Families of Ackley, Bradford, Burbank, Cool, Crow, Dwight, Fitch, Flint, Goodwin, Granger, Hoar, Kuhl, Looney, Mason, Partridge, Peck, Wark, and Whiting by Peter F. Erickson
Cover of the book Pizzazz! by Peter F. Erickson
Cover of the book Three Good Men by Peter F. Erickson
Cover of the book Naked in the Swamp by Peter F. Erickson
Cover of the book The Dragons of Remgeldon by Peter F. Erickson
Cover of the book The Fellowship of Christ by Peter F. Erickson
Cover of the book Guardians by Peter F. Erickson
Cover of the book Racism, Politics and the Recovering Addict by Peter F. Erickson
Cover of the book Stewart Stanley: the Adventures of a Tiny German Dog by Peter F. Erickson
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy