Non Newtonian Calculus

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 Fluid Mechanics written by G. Böhme and published by Elsevier. This book was released on 2012-12-02 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is for use in technical universities, and for practising engineers who are involved with flow problems of non-Newtonian fluids. The treatment of the subject is based throughout on continuum mechanics model concepts and methods. Because in Non-Newtonian fluids the material properties operating depend critically on the kinematics of the flow, special attention is paid to the derivation and explanation of the adequate constitutive equations used. The book can be read without reference to other sources. It begins by considering some general principles of continuum mechanics, studies simple motions (steady and unsteady shear flows) and proceeds by degrees to kinematically more complex motions. Problems of various degrees of difficulty at the end of each chapter invite active participation by the reader. Numerous stimulating topics from the literature are considered in the book.

Download or read book General Relativity Without Calculus written by Jose Natario and published by Springer Science & Business Media. This book was released on 2011-07-30 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt: “General Relativity Without Calculus” offers a compact but mathematically correct introduction to the general theory of relativity, assuming only a basic knowledge of high school mathematics and physics. Targeted at first year undergraduates (and advanced high school students) who wish to learn Einstein’s theory beyond popular science accounts, it covers the basics of special relativity, Minkowski space-time, non-Euclidean geometry, Newtonian gravity, the Schwarzschild solution, black holes and cosmology. The quick-paced style is balanced by over 75 exercises (including full solutions), allowing readers to test and consolidate their understanding.

Download or read book Kindergarten of Fractional Calculus written by Shantanu Das and published by Cambridge Scholars Publishing. This book was released on 2020-02-18 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a simplified deliberation of fractional calculus, which will appeal not only to beginners, but also to various applied science mathematicians and engineering researchers. The text develops the ideas behind this new field of mathematics, beginning at the most elementary level, before discussing its actual applications in different areas of science and engineering. This book shows that the simple, classical laws based on Newtonian calculus, which work quite well under limiting and idealized conditions, are not of much use in describing the dynamics of actual systems. As such, the application of non-Newtonian, or generalized, calculus in the governing equations, allows the order of differentiation and integration to take on non-integer values.

Download or read book Non-Diophantine Arithmetics in Mathematics, Physics and Psychology written by Mark Burgin and published by World Scientific Publishing Company. This book was released on 2020-09-11 with total page 800 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 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 Bartholomew and the Oobleck written by Dr. Seuss and published by Random House Books for Young Readers. This book was released on 1949-10-12 with total page 57 pages. Available in PDF, EPUB and Kindle. Book excerpt: Join Bartholomew Cubbins in Dr. Seuss’s Caldecott Honor–winning picture book about a king’s magical mishap! Bored with rain, sunshine, fog, and snow, King Derwin of Didd summons his royal magicians to create something new and exciting to fall from the sky. What he gets is a storm of sticky green goo called Oobleck—which soon wreaks havock all over his kingdom! But with the assistance of the wise page boy Bartholomew, the king (along with young readers) learns that the simplest words can sometimes solve the stickiest problems.