Download or read book Non Newtonian Calculus written by Michael Grossman and published by Non-Newtonian Calculus. This book was released on 1972 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Non Newtonian Calculus by Michael Grossman and Robert Katz written by Michael Grossmann and published by . This book was released on 1972 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The First Systems of Weighted Differential and Integral Calculus written by Jane Grossman and published by Non-Newtonian Calculus. This book was released on 1980 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Averages written by Jane Grossman and published by Non-Newtonian Calculus. This book was released on 1983 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Non Newtonian Calculus written by Michael Grossman and published by . This book was released on 1977 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The First Nonlinear System of Differential and Integral Calculus written by Michael Grossman and published by Non-Newtonian Calculus. This book was released on 1979 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Bigeometric Calculus written by Michael Grossman and published by Non-Newtonian Calculus. This book was released on 1983 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Non diophantine Arithmetics In Mathematics Physics And Psychology written by Mark Burgin and published by World Scientific. This book was released on 2020-11-04 with total page 960 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Multiplicative Differential Calculus written by Svetlin Georgiev and published by Chapman & Hall/CRC. This book was released on 2022 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book is devoted to the multiplicative differential calculus. It summarizes the most recent contributions in this area. The book is intended for senior undergraduate students and beginning graduate students of engineering and science courses. 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. In the period 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. This book is devoted to the multiplicative differential calculus. It summarizes the most recent contributions in this area. The book is intended for senior undergraduate students and beginning graduate students of engineering and science courses. The book contains seven chapters. The chapters in the book are pedagogically organized. Each chapter concludes with a section with practical problems. This book is addressed to a wide audience of specialists such as mathematicians, physicists, engineers, and biologists. It is primarily meant as a textbook at the graduate level and may be used for a course on differential calculus. Each chapter concludes with a section with practical problems to be assigned or for self-study"--
Download or read book Trilogy Of Numbers And Arithmetic Book 1 History Of Numbers And Arithmetic An Information Perspective written by Mark Burgin and published by World Scientific. This book was released on 2022-04-22 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Approximation Theory Sequence Spaces and Applications written by S. A. Mohiuddine and published by Springer Nature. This book was released on 2022-12-07 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Catalog of Copyright Entries Third Series written by Library of Congress. Copyright Office and published by Copyright Office, Library of Congress. This book was released on 1974 with total page 1786 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Meta calculus written by Jane Grossman and published by Non-Newtonian Calculus. This book was released on 1981 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Proceedings of the Business and Economic Statistics Section written by American Statistical Association. Business and Economic Statistics Section and published by . This book was released on 1980 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Multiplicative Euclidean and Non Euclidean Geometry written by Svetlin G. Georgiev and published by Cambridge Scholars Publishing. This book was released on 2022-10-13 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential and integral calculus, the most applicable mathematical theory, was created independently by Isaac Newton and Gottfried Wilhelm Leibnitz in the second half of the 17th century. Later, Leonard Euler redirected calculus by giving a central place to the concept of function, and thus founded analysis. 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 until 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. Multiplicative calculus can especially be useful as a mathematical tool for economics and finance. This book is devoted to multiplicative Euclidean and non-Euclidean geometry, summarizing the most recent contributions in this area. It will appeal to a wide audience of specialists such as mathematicians, physicists, engineers and biologists, and can be used as a textbook at the graduate level or as a reference book for several disciplines.
Download or read book Multiplicative Differential Calculus written by Svetlin G. Georgiev and published by CRC Press. This book was released on 2022-07-04 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Multiplicative Analytic Geometry written by Svetlin G. Georgiev and published by CRC Press. This book was released on 2022-11-24 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to multiplicative analytic geometry. The book reflects recent investigations into the topic. The reader can use the main formulae for investigations of multiplicative differential equations, multiplicative integral equations and multiplicative geometry. The authors summarize the most recent contributions in this area. The goal of the authors is to bring the most recent research on the topic to capable senior undergraduate students, beginning graduate students of engineering and science and researchers in a form to advance further study. The book contains eight chapters. The chapters in the book are pedagogically organized. Each chapter concludes with a section with practical problems. 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. In the period 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. Multiplicative calculus can especially be useful as a mathematical tool for economics and finance. Multiplicative Analytic Geometry builds upon multiplicative calculus and advances the theory to the topics of analytic and differential geometry.
