Pdf Lire [ Proof and the Art of Mathematics] Auteur Joel David Hamkins

 Proof and the Art of MathematicsUdding mathematician This well written book by Professor Hamkins A Man for All Seasons has a variety of interesting elementary mathematics Andas many NUGGETS OF WISDOM EG THE NUMBER 1 AND PRIME of wisdom eg the number 1 and prime the usemention distinction with fractions and rational numbers and vacuous truth It s an excellent choice "for aspiring mathematicians even if you already ave " aspiring mathematicians Even if you already ave training in mathematics this book is worth reading just for the elegance of the proofs Proof and the Art of Mathematics is a wonderful book for multiple reasons first of all it really does what it says on the cover namely to introduce aspiring mathematicians to the art of writing proofsThis is achieved through

a combination of 
combination of walked through various elegant proofs selected by Prof Hamkins being asked to critiue mistaken proofs which contain some subtle errors but most importantly by being provided with many carefully chosen exercises so that you can practise what you learn any craft reuires some personal effort At the very end of the book the author provides answers to some selected exercises where the you can compare your own proof attempts with model proofsOne big plus for me is the variety of mathematical areas covered you ll find sections on topics such as the mathematics of the infinite number theory combinatorics real analysis and many a total of 15 topics Each section is sprinkled with bits of mathematical wisdom which are bound to improve the mathematical skills of anyone willing to attempt the exercises with them in mind The book also contains some very Casual Car Deception helpful coloured illustrations Also I vead a positive experience with the delivery I received this book on my doorstep only one day after its release despite not living in the UK. Ory combinatorics graph theory the theory of games geometry infinity order theory and real analysis The goal is to show students and aspiring mathematicians ow to write proofs with elegance and precisi.
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Mathematical operation in the text On page 10 you give Theorem 6 For any natural number n the number n2 n is even Clearly this is true and defined in the natural numbers as n2 is always eual or greater than nThe problem is in proof 2 by High school algebra in which you prove this theorem by rewriting n2 n as nn 1 n 1 is not always a natural number take n0 as your previous comments on page 3 point out uite naturally some may consider this a minor uibble owever as the text as made the definitions of natural number and subtraction although informal at least conceptually clear The proof as It Stands Fails In The stands fails in the numbersThis does not seem to be a misprint and this is my point as e makes a similar mistake on page 12 In short very disappointed and so cannot recommend the book I will not continue with the book and will be returning my copy Great book I recommend it for anyone who is interested in math Whether you are a beginner or advanced you will surely find something in the book that catches your attention I was really blown away by this book Besides the uality of the diagrams and illustrations which go far beyond any popular mathematics book I ve ever purchased the variety and depth of examples of proof techniues is
really impressive all 
impressive All old favorites like tiling a checkerboard and the mxn chocolate bar problem and many that I ve never seen before a proof that the number of different infinities is not any of the infinities are beautifully illustrated and described in accessible but rigorous termsMy 7 year old daughter looks over my shoulder when I m reading this book and asks lots of curious uestions This book as been a great introduction to the beauty and wonder of mathematics for this A leading research mathematician presents a series of engaging and compelling mathematical statements with interesting elementary proofs These proofs capture a wide range of topics including number the.

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