Non Newtonian Calculus
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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 Calculus
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Author : Michael Grossman
language : en
Publisher:
Release Date : 1977
Non Newtonian Calculus written by Michael Grossman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with categories.
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.
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.
Non Newtonian Calculus
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Author : Michael Grossman
language : en
Publisher:
Release Date : 1977
Non Newtonian Calculus written by Michael Grossman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with categories.
Non Newtonian Calculi
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Author : Ali Ozyapici
language : en
Publisher:
Release Date : 2005
Non Newtonian Calculi written by Ali Ozyapici and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Calculus categories.
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.
Bigeometric Calculus
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Author : Michael Grossman
language : en
Publisher: Non-Newtonian Calculus
Release Date : 1983
Bigeometric 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 1983 with Mathematics categories.
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.
Multiplicative Differential Calculus
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Author : Svetlin G. Georgiev
language : en
Publisher: CRC Press
Release Date : 2022-07-04
Multiplicative Differential Calculus written by Svetlin G. Georgiev and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-07-04 with Mathematics categories.
This book is devoted to the multiplicative differential calculus. Its seven pedagogically organized chapters summarize the most recent contributions in this area, concluding with a section of practical problems to be assigned or for self-study. Two operations, differentiation and integration, are basic in calculus and analysis. In fact, they are the infinitesimal versions of the subtraction and addition operations on numbers, respectively. From 1967 till 1970, Michael Grossman and Robert Katz gave definitions of a new kind of derivative and integral, moving the roles of subtraction and addition to division and multiplication, and thus established a new calculus, called multiplicative calculus. It is also called an alternative or non-Newtonian calculus. Multiplicative calculus can especially be useful as a mathematical tool for economics, finance, biology, and engineering. Multiplicative Differential Calculus is written to be of interest to a wide audience of specialists such as mathematicians, physicists, engineers, and biologists. It is primarily a textbook at the senior undergraduate and beginning graduate level and may be used for a course on differential calculus. It is also for students studying engineering and science. Authors Svetlin G. Georgiev is a mathematician who has worked in various areas of the study. He currently focuses on harmonic analysis, functional analysis, partial differential equations, ordinary differential equations, Clifford and quaternion analysis, integral equations, and dynamic calculus on time scales. He is also the author of Dynamic Geometry of Time Scales (CRC Press). He is a co-author of Conformable Dynamic Equations on Time Scales, with Douglas R. Anderson (CRC Press). Khaled Zennir earned his PhD in mathematics from Sidi Bel Abbès University, Algeria. He earned his highest diploma in Habilitation in Mathematics from Constantine University, Algeria. He is currently Assistant Professor at Qassim University in the Kingdom of Saudi Arabia. His research interests lie in the subjects of nonlinear hyperbolic partial differential equations: global existence, blowup, and long-time behavior. The authors have also published: Multiple Fixed-Point Theorems and Applications in the Theory of ODEs, FDEs and PDE; Boundary Value Problems on Time Scales, Volume 1 and Volume II, all with CRC Press.
Rheology And Non Newtonian Fluids
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Author : Fridtjov Irgens
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-07-25
Rheology And Non Newtonian Fluids written by Fridtjov Irgens 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 2013-07-25 with Technology & Engineering categories.
This book gives a brief but thorough introduction to the fascinating subject of non-Newtonian fluids, their behavior and mechanical properties. After a brief introduction of what characterizes non-Newtonian fluids in Chapter 1 some phenomena characteristic of non-Newtonian fluids are presented in Chapter 2. The basic equations in fluid mechanics are discussed in Chapter 3. Deformation kinematics, the kinematics of shear flows, viscometric flows, and extensional flows are the topics in Chapter 4. Material functions characterizing the behavior of fluids in special flows are defined in Chapter 5. Generalized Newtonian fluids are the most common types of non-Newtonian fluids and are the subject in Chapter 6. Some linearly viscoelastic fluid models are presented in Chapter 7. In Chapter 8 the concept of tensors is utilized and advanced fluid models are introduced. The book is concluded with a variety of 26 problems. Solutions to the problems are ready for instructors