The First Nonlinear System Of Differential And Integral Calculus
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Introduction To Nonlinear Differential And Integral Equations
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Author : Harold Thayer Davis
language : en
Publisher: Courier Corporation
Release Date : 1962-01-01
Introduction To Nonlinear Differential And Integral Equations written by Harold Thayer Davis and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962-01-01 with Mathematics categories.
Topics covered include differential equations of the 1st order, the Riccati equation and existence theorems, 2nd order equations, elliptic integrals and functions, nonlinear mechanics, nonlinear integral equations, more. Includes 137 problems.
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.
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.
Implicit Fractional Differential And Integral Equations
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Author : Saïd Abbas
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2018-02-05
Implicit Fractional Differential And Integral Equations written by Saïd Abbas and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-05 with Mathematics categories.
This book deals with the existence and stability of solutions to initial and boundary value problems for functional differential and integral equations and inclusions involving the Riemann-Liouville, Caputo, and Hadamard fractional derivatives and integrals. A wide variety of topics is covered in a mathematically rigorous manner making this work a valuable source of information for graduate students and researchers working with problems in fractional calculus. Contents Preliminary Background Nonlinear Implicit Fractional Differential Equations Impulsive Nonlinear Implicit Fractional Differential Equations Boundary Value Problems for Nonlinear Implicit Fractional Differential Equations Boundary Value Problems for Impulsive NIFDE Integrable Solutions for Implicit Fractional Differential Equations Partial Hadamard Fractional Integral Equations and Inclusions Stability Results for Partial Hadamard Fractional Integral Equations and Inclusions Hadamard–Stieltjes Fractional Integral Equations Ulam Stabilities for Random Hadamard Fractional Integral Equations
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.
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
Analysis And Differential Equations
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Author : Odile Pons
language : en
Publisher: World Scientific Publishing Company
Release Date : 2015-01-19
Analysis And Differential Equations written by Odile Pons and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-19 with Mathematics categories.
This book presents advanced methods of integral calculus and the classical theory of the ordinary and partial differential equations. It provides explicit solutions of linear and nonlinear differential equations and implicit solutions with discrete approximations. Differential equations that could not be explicitly solved are discussed with special functions such as Bessel functions. New functions are defined from differential equations. Laguerre, Hermite and Legendre orthonormal polynomials as well as several extensions are also considered.It is illustrated by examples and graphs of functions, with each chapter containing exercises solved in the last chapter.
Linear And Nonlinear Integral Equations
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Author : Abdul-Majid Wazwaz
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-11-24
Linear And Nonlinear Integral Equations written by Abdul-Majid Wazwaz 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 2011-11-24 with Mathematics categories.
Linear and Nonlinear Integral Equations: Methods and Applications is a self-contained book divided into two parts. Part I offers a comprehensive and systematic treatment of linear integral equations of the first and second kinds. The text brings together newly developed methods to reinforce and complement the existing procedures for solving linear integral equations. The Volterra integral and integro-differential equations, the Fredholm integral and integro-differential equations, the Volterra-Fredholm integral equations, singular and weakly singular integral equations, and systems of these equations, are handled in this part by using many different computational schemes. Selected worked-through examples and exercises will guide readers through the text. Part II provides an extensive exposition on the nonlinear integral equations and their varied applications, presenting in an accessible manner a systematic treatment of ill-posed Fredholm problems, bifurcation points, and singular points. Selected applications are also investigated by using the powerful Padé approximants. This book is intended for scholars and researchers in the fields of physics, applied mathematics and engineering. It can also be used as a text for advanced undergraduate and graduate students in applied mathematics, science and engineering, and related fields. Dr. Abdul-Majid Wazwaz is a Professor of Mathematics at Saint Xavier University in Chicago, Illinois, USA.
Scientific Medical And Technical Books Published In The United States Of America
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Author : Reginald Robert Hawkins
language : en
Publisher:
Release Date : 1953
Scientific Medical And Technical Books Published In The United States Of America written by Reginald Robert Hawkins and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1953 with Medicine categories.