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Author : H. M. Hubey
Publisher : World Scientific
Page : 550 pages
File Size : 42,6 Mb
Release : 1998
Category : Mathematics
ISBN : 9810230818
CD-ROM consists of four directories: parametric plots, fractals, etc; nonlinear differential equations; fuzzy logics; and graphics files.
Author : Ian Stewart
Publisher : Oxford University Press
Page : 161 pages
File Size : 42,6 Mb
Release : 2017
Category : Infinite
ISBN : 9780198755234
Infinity is an intriguing topic, with connections to religion, philosophy, metaphysics, logic, and physics as well as mathematics. Its history goes back to ancient times, with especially important contributions from Euclid, Aristotle, Eudoxus, and Archimedes. The infinitely large (infinite) isintimately related to the infinitely small (infinitesimal). Cosmologists consider sweeping questions about whether space and time are infinite. Philosophers and mathematicians ranging from Zeno to Russell have posed numerous paradoxes about infinity and infinitesimals. Many vital areas ofmathematics rest upon some version of infinity. The most obvious, and the first context in which major new techniques depended on formulating infinite processes, is calculus. But there are many others, for example Fourier analysis and fractals.In this Very Short Introduction, Ian Stewart discusses infinity in mathematics while also drawing in the various other aspects of infinity and explaining some of the major problems and insights arising from this concept. He argues that working with infinity is not just an abstract, intellectualexercise but that it is instead a concept with important practical everyday applications, and considers how mathematicians use infinity and infinitesimals to answer questions or supply techniques that do not appear to involve the infinite.ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, andenthusiasm to make interesting and challenging topics highly readable.
Author : Pravin Johri,Alisha Johri
Publisher : Createspace Independent Publishing Platform
Page : 98 pages
File Size : 42,7 Mb
Release : 2018-06-10
Category : Electronic
ISBN : 1720899770
The Cantor Diagonal Argument (CDA) is the quintessential result in Cantor's infinite set theory. This is one procedure that almost everyone who studies this subject finds astounding. However, mathematicians maintain that the CDA is absolutely correct and that the "countless" people trying to repudiate the CDA are not only wrong but are seemingly "irrational" enough to challenge such a widely accepted result.This book outlines all the different issues with the CDA. And, there are many.This book does not attempt to disprove the CDA by finding fault with it. Since the mathematical community has not bought into any of the tens of counterarguments it likely will ignore yet one more.Instead, assuming the CDA is correct, we create a situation where the CDA produces results when it really shouldn't and use the CDA itself to discredit the CDA.Cantor's infinite set theory is largely based on arbitrary rules, confounding axioms, and logic that defies intuition and common sense. Our previous books explain exactly what is wrong and why. The theory is hopelessly flawed because the starting assumption - the axiom of infinity - is wrong. There is no such thing as an infinite set. But mathematicians stubbornly stick to their belief that everything is correct.Hopefully this is the straw that breaks the camel's back!
Author : Alberto S. Cattaneo,Anthony Giaquinto,Ping Xu
Publisher : Springer Science & Business Media
Page : 371 pages
File Size : 48,6 Mb
Release : 2010-11-25
Category : Mathematics
ISBN : 9780817647353
This book is centered around higher algebraic structures stemming from the work of Murray Gerstenhaber and Jim Stasheff that are now ubiquitous in various areas of mathematics— such as algebra, algebraic topology, differential geometry, algebraic geometry, mathematical physics— and in theoretical physics such as quantum field theory and string theory. These higher algebraic structures provide a common language essential in the study of deformation quantization, theory of algebroids and groupoids, symplectic field theory, and much more. Each contribution in this volume expands on the ideas of Gerstenhaber and Stasheff. The volume is intended for post-graduate students, mathematical and theoretical physicists, and mathematicians interested in higher structures.
Author : Steven Goldberg
Publisher : Routledge
Page : 123 pages
File Size : 45,9 Mb
Release : 2017-09-08
Category : Mathematics
ISBN : 9781351506656
The heart of mathematics is its elegance; the way it all fits together. Unfortunately, its beauty often eludes the vast majority of people who are intimidated by fear of the difficulty of numbers. Mathematical Elegance remedies this. Using hundreds of examples, the author presents a view of the mathematical landscape that is both accessible and fascinating. At a time of concern that American youth are bored by math, there is renewed interest in improving math skills. Mathematical Elegance stimulates students, along with those already experienced in the discipline, to explore some of the unexpected pleasures of quantitative thinking. Invoking mathematical proofs famous for their simplicity and brainteasers that are fun and illuminating, the author leaves readers feeling exuberant-as well as convinced that their IQs have been raised by ten points. A host of anecdotes about well-known mathematicians humanize and provide new insights into their lofty subjects. Recalling such classic works as Lewis Carroll's Introduction to Logic and A Mathematician Reads the Newspaper by John Allen Paulos, Mathematical Elegance will energize and delight a wide audience, ranging from intellectually curious students to the enthusiastic general reader.
Author : Paul J. Nahin
Publisher : Springer Nature
Page : 542 pages
File Size : 46,9 Mb
Release : 2020-06-27
Category : Science
ISBN : 9783030437886
What’s the point of calculating definite integrals since you can’t possibly do them all? What makes doing the specific integrals in this book of value aren’t the specific answers we’ll obtain, but rather the methods we’ll use in obtaining those answers; methods you can use for evaluating the integrals you will encounter in the future. This book, now in its second edition, is written in a light-hearted manner for students who have completed the first year of college or high school AP calculus and have just a bit of exposure to the concept of a differential equation. Every result is fully derived. If you are fascinated by definite integrals, then this is a book for you. New material in the second edition includes 25 new challenge problems and solutions, 25 new worked examples, simplified derivations, and additional historical discussion.
Author : John Anthony West
Publisher : Quest Books
Page : 289 pages
File Size : 54,6 Mb
Release : 2012-12-19
Category : History
ISBN : 9780835630146
John Anthony West's revolutionary reinterpretation of the civilization of Egypt challenges all that has been accepted as dogma concerning Ancient Egypt. In this pioneering study West documents that: Hieroglyphs carry hermetic messages that convey the subtler realities of the Sacred Science of the Pharaohs. Egyptian science, medicine, mathematics, and astronomy were more sophisticated than most modern Egyptologists acknowledge. Egyptian knowledge of the universe was a legacy from a highly sophisticated civilization that flourished thousands of years ago. The great Sphinx represents geological proof that such a civilization existed. This revised edition includes a new introduction linking Egyptian spiritual science with the perennial wisdom tradition and an appendix updating West's work in redating the Sphinx. Illustrated with over 140 photographs and line drawings.
Author : John Stillwell
Publisher : Springer Science & Business Media
Page : 240 pages
File Size : 46,6 Mb
Release : 2005-08-09
Category : Mathematics
ISBN : 9780387255309
This book is unique in that it looks at geometry from 4 different viewpoints - Euclid-style axioms, linear algebra, projective geometry, and groups and their invariants Approach makes the subject accessible to readers of all mathematical tastes, from the visual to the algebraic Abundantly supplemented with figures and exercises
Author : A.M. Wesselman
Publisher : Springer Science & Business Media
Page : 262 pages
File Size : 53,6 Mb
Release : 1987-09-30
Category : Mathematics
ISBN : 902473603X
Author : Britannica Educational Publishing
Publisher : Britannica Educational Publishing
Page : 296 pages
File Size : 55,8 Mb
Release : 2010-04-01
Category : Juvenile Nonfiction
ISBN : 9781615302208
The dynamism of the natural world means that it is constantly changing, sometimes rapidly, sometimes gradually. By mathematically interpreting the continuous change that characterizes so many natural processes, analysis and calculus have become indispensable to bridging the divide between mathematics and the sciences. This comprehensive volume examines the key concepts of calculus, providing students with a robust understanding of integration and differentiation. Biographies of important figures will leave readers with an increased appreciation for the sometimes competing theories that informed the early history of the field.
Author : George Salmon
Publisher : Unknown
Page : 372 pages
File Size : 42,7 Mb
Release : 1855
Category : Electronic
ISBN : BL:A0018204085
Author : George Salmon
Publisher : Unknown
Page : 412 pages
File Size : 53,6 Mb
Release : 1863
Category : Conic sections
ISBN : STANFORD:36105030416791
Author : George Salmon
Publisher : Unknown
Page : 372 pages
File Size : 48,6 Mb
Release : 1855
Category : Electronic
ISBN : IBNN:BN000611770
Author : Luis Manuel Braga da Costa Campos
Publisher : CRC Press
Page : 1029 pages
File Size : 46,7 Mb
Release : 2010-09-03
Category : Mathematics
ISBN : 9781420071207
Complex Analysis with Applications to Flows and Fields presents the theory of functions of a complex variable, from the complex plane to the calculus of residues to power series to conformal mapping. The book explores numerous physical and engineering applications concerning potential flows, the gravity field, electro- and magnetostatics, steady he
Author : Jerry Davidson Wheatley
Publisher : Unknown
Page : 810 pages
File Size : 55,8 Mb
Release : 2001
Category : Philosophy
ISBN : 0970316100
This book describes how understanding the structure of reality leads to the Theory of Everything Equation. The equation unifies the forces of nature and enables the merging of relativity with quantum theory. The book explains the big bang theory and everything else.
