Un-Real Analysis: Why Mathematics is Counterintuitive & Impact on Theoretical Ph

Description: Un-Real Analysis by Alisha A. Johri, Pravin K. Johri Estimated delivery 3-12 business days Format Paperback Condition Brand New Description This book explains why your introductory Real Analysis textbook may not make complete sense to you and why mathematics is so counterintuitive. It lists the seeming contradictions in mathematics and identifies the root cause of all counterintuitive results. It points out potential inconsistencies in Cantors theorem and in the concept of actual infinity. The definition of the infinite set of natural numbers N violates the concepts of a set and of infinity. It proposes to physicists that their unsuccessful attempts at a unified theory of physics may be due to the underlying mathematics. The first course in Real Analysis comes as a rude shock to most students. How can mathematics suddenly become so counterintuitive and difficult to comprehend? The introductory Real Analysis textbook does not make complete sense. Parts of Real Analysis consist of imaginary concepts without any "real" examples. One would expect Real Analysis deals with numbers such as 3.1 and 4.267 and the like. It turns out in the end almost all real numbers are irrational and they must be denoted with an infinite non-repetitive decimal representation. Infinity is not a number and real numbers are defined in terms of something that is not a real number. In fact, not a single irrational number can be written in the decimal notation as it is not possible to lay out infinite non-repeating decimal digits. The irrational numbers are pretty much imaginary. How strange? The course should be titled "Unreal Analysis". Modern mathematics is based on Cantors infinite set theory which is full of counterintuitive results and seeming contradictions. This book raises doubts about many results presented in a course on Real Analysis and describes the various ways the results seem to be inconsistent and often contradictory. The "smoking gun" that something is amiss is the theorem on the density of the rational numbers which is built on an even more elementary concept - the Archimedean Property. How can a countable set of rational numbers be densely distributed inside an uncountable set of real numbers representing a higher order of infinity? No text book explains how this is possible. The only other science where such abstractions come directly into play is physics. A different theory of mathematics may lead to different theories in physics. The unsuccessful attempts at a unified theory of physics may be due to the underlying mathematics. Certain conclusions about imperfections in the real small world of quantum mechanics, like the Heisenberg Principle, may instead be pointing to an imperfection in the underlying mathematics. Details ISBN 1519776209 ISBN-13 9781519776204 Title Un-Real Analysis Author Alisha A. Johri, Pravin K. Johri Format Paperback Year 2016 Pages 196 Publisher Createspace Independent Publishing Platform GE_Item_ID:128445476; About Us Grand Eagle Retail is the ideal place for all your shopping needs! With fast shipping, low prices, friendly service and over 1,000,000 in stock items - you're bound to find what you want, at a price you'll love! Shipping & Delivery Times Shipping is FREE to any address in USA. Please view eBay estimated delivery times at the top of the listing. Deliveries are made by either USPS or Courier. We are unable to deliver faster than stated. International deliveries will take 1-6 weeks. NOTE: We are unable to offer combined shipping for multiple items purchased. This is because our items are shipped from different locations. Returns If you wish to return an item, please consult our Returns Policy as below: Please contact Customer Services and request "Return Authorisation" before you send your item back to us. Unauthorised returns will not be accepted. Returns must be postmarked within 4 business days of authorisation and must be in resellable condition. Returns are shipped at the customer's risk. We cannot take responsibility for items which are lost or damaged in transit. For purchases where a shipping charge was paid, there will be no refund of the original shipping charge. Additional Questions If you have any questions please feel free to Contact Us. Categories Baby Books Electronics Fashion Games Health & Beauty Home, Garden & Pets Movies Music Sports & Outdoors Toys

Price: 26.63 USD

Location: Fairfield, Ohio

End Time: 2025-01-25T13:15:55.000Z

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