Non Newtonian Calculus By Michael Grossman And Robert Katz
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Non Newtonian Calculus By Michael Grossman And Robert Katz
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Author : Michael Grossmann
language : en
Publisher:
Release Date : 1972
Non Newtonian Calculus By Michael Grossman And Robert Katz written by Michael Grossmann and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Calculus categories.
Non Newtonian Calculus
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Author : Michael Grossman
language : en
Publisher: Non-Newtonian Calculus
Release Date : 1972
Non Newtonian Calculus written by Michael Grossman and has been published by Non-Newtonian Calculus this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Mathematics categories.
The non-Newtonian calculi provide a wide variety of mathematical tools for use in science, engineering, and mathematics. They appear to have considerable potential for use as alternatives to the classical calculus of Newton and Leibniz. It may well be that these calculi can be used to define new concepts, to yield new or simpler laws, or to formulate or solve problems.
Non Newtonian Sequence Spaces With Applications
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Author : Feyzi Başar
language : en
Publisher: CRC Press
Release Date : 2025-06-25
Non Newtonian Sequence Spaces With Applications written by Feyzi Başar and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-06-25 with Mathematics categories.
Non-Newtonian Sequence Spaces with Applications presents an alternative to the usual calculus based on multiplication instead of addition. The book is intended for graduate students and researchers with a special interest in non-Newtonian calculus, its applications and related topics. Features · Valuable material for postgraduate researchers studying non-Newtonian calculus · Suitable as supplementary reading to a Computational Physics course
Non Diophantine Arithmetics In Mathematics Physics And Psychology
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Author : Mark Burgin
language : en
Publisher: World Scientific
Release Date : 2020-11-04
Non Diophantine Arithmetics In Mathematics Physics And Psychology written by Mark Burgin and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-04 with Mathematics categories.
For a long time, all thought there was only one geometry — Euclidean geometry. Nevertheless, in the 19th century, many non-Euclidean geometries were discovered. It took almost two millennia to do this. This was the major mathematical discovery and advancement of the 19th century, which changed understanding of mathematics and the work of mathematicians providing innovative insights and tools for mathematical research and applications of mathematics.A similar event happened in arithmetic in the 20th century. Even longer than with geometry, all thought there was only one conventional arithmetic of natural numbers — the Diophantine arithmetic, in which 2+2=4 and 1+1=2. It is natural to call the conventional arithmetic by the name Diophantine arithmetic due to the important contributions to arithmetic by Diophantus. Nevertheless, in the 20th century, many non-Diophantine arithmetics were discovered, in some of which 2+2=5 or 1+1=3. It took more than two millennia to do this. This discovery has even more implications than the discovery of new geometries because all people use arithmetic.This book provides a detailed exposition of the theory of non-Diophantine arithmetics and its various applications. Reading this book, the reader will see that on the one hand, non-Diophantine arithmetics continue the ancient tradition of operating with numbers while on the other hand, they introduce extremely original and innovative ideas.
Trilogy Of Numbers And Arithmetic Book 1 History Of Numbers And Arithmetic An Information Perspective
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Author : Mark Burgin
language : en
Publisher: World Scientific
Release Date : 2022-04-22
Trilogy Of Numbers And Arithmetic Book 1 History Of Numbers And Arithmetic An Information Perspective written by Mark Burgin and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-04-22 with Mathematics categories.
The book is the first in the trilogy which will bring you to the fascinating world of numbers and operations with them. Numbers provide information about myriads of things. Together with operations, numbers constitute arithmetic forming in basic intellectual instruments of theoretical and practical activity of people and offering powerful tools for representation, acquisition, transmission, processing, storage, and management of information about the world.The history of numbers and arithmetic is the topic of a variety of books and at the same time, it is extensively presented in many books on the history of mathematics. However, all of them, at best, bring the reader to the end of the 19th century without including the developments in these areas in the 20th century and later. Besides, such books consider and describe only the most popular classes of numbers, such as whole numbers or real numbers. At the same time, a diversity of new classes of numbers and arithmetic were introduced in the 20th century.This book looks into the chronicle of numbers and arithmetic from ancient times all the way to 21st century. It also includes the developments in these areas in the 20th century and later. A unique aspect of this book is its information orientation of the exposition of the history of numbers and arithmetic.
Averages
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Author : Jane Grossman
language : en
Publisher: Non-Newtonian Calculus
Release Date : 1983
Averages written by Jane Grossman and has been published by Non-Newtonian Calculus this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Mathematics categories.
This book concerns the averages of functions that arise in the development of non-Newtonian calculus and weighted non-Newtonian calculus, and an interesting family of means of two positive numbers. These averages and means provide a wide variety of mathematical tools for use in science, engineering, and mathematics. It may well be that they can be used to define new concepts, to yield new or simpler laws, or to formulate or solve problems.
The First Systems Of Weighted Differential And Integral Calculus
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Author : Jane Grossman
language : en
Publisher: Non-Newtonian Calculus
Release Date : 1980
The First Systems Of Weighted Differential And Integral Calculus written by Jane Grossman and has been published by Non-Newtonian Calculus this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Mathematics categories.
This book explains how each non-Newtonian calculus, as well as the classical calculus of Newton and Leibniz, can be 'weighted' in a natural way. In each of these weighted calculi, a weighted average (of functions) plays a central role. The weighted calculi provide a wide variety of mathematical tools for use in science, engineering, and mathematics. They appear to have considerable potential for use as alternatives to the classical calculus. It may well be that they can be used to define new concepts, to yield new or simpler laws, or to formulate or solve problems.
Approximation Theory Sequence Spaces And Applications
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Author : S. A. Mohiuddine
language : en
Publisher: Springer Nature
Release Date : 2022-12-07
Approximation Theory Sequence Spaces And Applications written by S. A. Mohiuddine and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12-07 with Mathematics categories.
This book publishes original research chapters on the theory of approximation by positive linear operators as well as theory of sequence spaces and illustrates their applications. Chapters are original and contributed by active researchers in the field of approximation theory and sequence spaces. Each chapter describes the problem of current importance and summarizes ways of their solution and possible applications which improve the current understanding pertaining to sequence spaces and approximation theory. The presentation of the articles is clear and self-contained throughout the book.
Catalog Of Copyright Entries Third Series
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Author : Library of Congress. Copyright Office
language : en
Publisher: Copyright Office, Library of Congress
Release Date : 1974
Catalog Of Copyright Entries Third Series written by Library of Congress. Copyright Office and has been published by Copyright Office, Library of Congress this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Copyright categories.
The First Nonlinear System Of Differential And Integral Calculus
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Author : Michael Grossman
language : en
Publisher: Non-Newtonian Calculus
Release Date : 1979
The First Nonlinear System Of Differential And Integral Calculus written by Michael Grossman and has been published by Non-Newtonian Calculus this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Mathematics categories.
The book contains a detailed account of the first non-Newtonian calculus. In this system, the exponential functions play the role that the linear functions play in the classical calculus of Newton and Leibniz. This nonlinear system provides mathematical tools for use in science, engineering, and mathematics. It appears to have considerable potential for use as an alternative to the classical calculus. It may well be that this non-Newtonian calculus can be used to define new concepts, to yield new or simpler laws, or to formulate or solve problems.