The First Systems of Weighted Differential and Integral Calculus PDF Download
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Author: Jane Grossman
Publisher: Non-Newtonian Calculus
ISBN: 9780977117017
Category : Mathematics
Languages : en
Pages : 68
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Book Description
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.
Author: Jane Grossman
Publisher: Non-Newtonian Calculus
ISBN: 9780977117017
Category : Mathematics
Languages : en
Pages : 68
Get Book Here
Book Description
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.
Author: Michael Grossman
Publisher: Non-Newtonian Calculus
ISBN: 9780977117000
Category : Mathematics
Languages : en
Pages : 102
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Book Description
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.
Author: Michael Grossman
Publisher: Non-Newtonian Calculus
ISBN: 9780912938011
Category : Mathematics
Languages : en
Pages : 108
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Book Description
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.
Author: Michael Grossman
Publisher: Non-Newtonian Calculus
ISBN: 9780977117031
Category : Mathematics
Languages : en
Pages : 112
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Book Description
This book contains a detailed account of the bigeometric calculus, a non-Newtonian calculus in which the power 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 the bigeometric calculus can be used to define new concepts, to yield new or simpler laws, or to formulate or solve problems.
Author: Jane Grossman
Publisher: Non-Newtonian Calculus
ISBN: 9780977117048
Category : Mathematics
Languages : en
Pages : 72
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Book Description
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.
Author: Jane Grossman
Publisher: Non-Newtonian Calculus
ISBN: 9780977117024
Category : Mathematics
Languages : en
Pages : 44
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Book Description
This book describes systems of calculus, called meta-calculi, that arose from the problem of measuring stock-price performance when taking all intermediate prices into consideration. The meta-calculi provide mathematical tools for use in science, engineering, and mathematics. They appear to have potential for use as alternatives to the classical calculus of Newton and Leibniz. 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.
Author: Donald Francis Campbell
Publisher:
ISBN:
Category : Calculus
Languages : en
Pages : 398
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Book Description
Author: Harold Thayer Davis
Publisher:
ISBN:
Category : Calculus
Languages : en
Pages : 590
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Book Description
Author: Mark Burgin
Publisher: World Scientific
ISBN: 9811214328
Category : Mathematics
Languages : en
Pages : 960
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Book Description
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.
Author: Contributors, Wikipedia
Publisher: e-artnow
ISBN: 8026860888
Category : Fiction
Languages : en
Pages : 6089
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Book Description
This carefully crafted ebook is formatted for your eReader with a functional and detailed table of contents. Captain America: Civil War is a 2016 American superhero film based on the Marvel Comics character Captain America, produced by Marvel Studios and distributed by Walt Disney Studios Motion Pictures. It is the sequel to 2011's Captain America: The First Avenger and 2014's Captain America: The Winter Soldier, and the thirteenth film of the Marvel Cinematic Universe (MCU). The film is directed by Anthony and Joe Russo, with a screenplay by Christopher Markus & Stephen McFeely, and features an ensemble cast, including Chris Evans, Robert Downey Jr., Scarlett Johansson, Sebastian Stan, Anthony Mackie, Don Cheadle, Jeremy Renner, Chadwick Boseman, Paul Bettany, Elizabeth Olsen, Paul Rudd, Emily VanCamp, Tom Holland, Frank Grillo, William Hurt, and Daniel Brühl. In Captain America: Civil War, disagreement over international oversight of the Avengers fractures them into opposing factions—one led by Steve Rogers and the other by Tony Stark. This book has been derived from Wikipedia: it contains the entire text of the title Wikipedia article + the entire text of all the 634 related (linked) Wikipedia articles to the title article. This book does not contain illustrations.
