Non-Newtonian Calculus - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Non-Newtonian Calculus write by Michael Grossman. This book was released on 1972. Non-Newtonian Calculus available in PDF, EPUB and Kindle. 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 Fluid Mechanics
Non-Newtonian Fluid Mechanics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Non-Newtonian Fluid Mechanics write by G. Böhme. This book was released on 2012-12-02. Non-Newtonian Fluid Mechanics available in PDF, EPUB and Kindle. 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.
Non-Diophantine Arithmetics in Mathematics, Physics and Psychology
Non-Diophantine Arithmetics in Mathematics, Physics and Psychology - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Non-Diophantine Arithmetics in Mathematics, Physics and Psychology write by Mark Burgin. This book was released on 2020-09-11. Non-Diophantine Arithmetics in Mathematics, Physics and Psychology available in PDF, EPUB and Kindle. 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.
The First Systems of Weighted Differential and Integral Calculus
The First Systems of Weighted Differential and Integral Calculus - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The First Systems of Weighted Differential and Integral Calculus write by Jane Grossman. This book was released on 1980. The First Systems of Weighted Differential and Integral Calculus available in PDF, EPUB and Kindle. 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.
General Relativity Without Calculus
General Relativity Without Calculus - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook General Relativity Without Calculus write by Jose Natario. This book was released on 2011-07-30. General Relativity Without Calculus available in PDF, EPUB and Kindle. “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.
