19
https://plus.maths.org/content/issue/issue/19
enMathematical mysteries: Survival of the nicest?
https://plus.maths.org/content/mathematical-mysteries-survival-nicest
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Helen Joyce </div>
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<p>One of the most puzzling aspects of human behaviour is cooperation, in situations where backstabbing and selfishness would seem to be more rewarding. From the point of view of evolutionary theory, the very existence of altruism and cooperation appear mysterious.</p>
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<h2>Survival of the nicest?</h2>
One of the most puzzling aspects of human behaviour is cooperation, in situations where backstabbing and selfishness would seem to be more rewarding. From the point of view of evolutionary theory, the very existence of altruism and cooperation appear mysterious. The mechanics of evolution seem to imply that rugged competition is the order of the day; that, given an opportunity to benefit by
cheating someone, or by defaulting on a deal, we will inevitably do so.<p><a href="https://plus.maths.org/content/mathematical-mysteries-survival-nicest" target="_blank">read more</a></p>https://plus.maths.org/content/mathematical-mysteries-survival-nicest#comments19altruismcooperationevolutiongame theoryIterated Prisoners' DilemmaMathematical mysteriesPrisoner's DilemmaTit for TatTit for Tat with forgivenessSat, 01 Dec 2001 00:00:00 +0000plusadmin4755 at https://plus.maths.org/content/issue19
https://plus.maths.org/content/issue19
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<span class="date-display-single">March 2002</span> </div>
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<p>Is forensic evidence always reliable? Are we all born with a basic understanding of mathematics? And why have humans evolved to show kindness when it does not always benefit them? This issue reveals all this and more.</p>
19indexTue, 01 Jun 2010 12:33:43 +0000plusadmin5208 at https://plus.maths.org/contentNatural born mathematicians
https://plus.maths.org/content/natural-born-mathematicians
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Helen Joyce </div>
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Neuropsychologist <b>Brian Butterworth</b> tells us about research showing that even newborn babies have a basic understanding of number. It seems we are all mathematicians! </div>
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<div class="pub_date">Mar 2002</div>
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<p>One day old, and already a mathematician</p><p><a href="https://plus.maths.org/content/natural-born-mathematicians" target="_blank">read more</a></p>https://plus.maths.org/content/natural-born-mathematicians#comments19cardinalitydyspraxiaevolutiongiftednesshuman calculatorinnate mathematical abilitySat, 01 Dec 2001 00:00:00 +0000plusadmin2200 at https://plus.maths.org/contentTwo books about mathematical thinking
https://plus.maths.org/content/two-books-about-mathematical-thinking
<div class="pub_date">Mar 2002</div>
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<h2>The mathematical<p><a href="https://plus.maths.org/content/two-books-about-mathematical-thinking" target="_blank">read more</a></p>https://plus.maths.org/content/two-books-about-mathematical-thinking#comments19book reviewSat, 01 Dec 2001 00:00:00 +0000plusadmin3269 at https://plus.maths.org/content'The mathematician Sophus Lie'
https://plus.maths.org/content/mathematician-sophus-lie
<div class="pub_date">Mar 2002</div>
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<h2>The mathematician Sophus Lie - It was the audacity of my thinking</h2>
<blockquote>"I am certain, absolutely certain that...these theories will be recognized as fundamental at some point in the future."</blockquote>
<p>Sophus Lie said these words more than hundred years ago. We know now that he was right, absolutely right.<p><a href="https://plus.maths.org/content/mathematician-sophus-lie" target="_blank">read more</a></p>https://plus.maths.org/content/mathematician-sophus-lie#comments19book reviewSat, 01 Dec 2001 00:00:00 +0000plusadmin3268 at https://plus.maths.org/content'A Beautiful Mind' - film review
https://plus.maths.org/content/beautiful-mind-film-review
<div class="pub_date">Mar 2002</div>
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<h2>A Beautiful Mind</h2>
<i>A Beautiful Mind</i> is a touching, emotionally charged film detailing the life of a brilliant academic who suffers from schizophrenia. This affliction slowly takes over his mind and we watch as his life crumbles apart around him. He abandons his students, alienates his colleagues and replaces his research with a fruitless and all-consuming obsession.<p><a href="https://plus.maths.org/content/beautiful-mind-film-review" target="_blank">read more</a></p>https://plus.maths.org/content/beautiful-mind-film-review#comments19book reviewSat, 01 Dec 2001 00:00:00 +0000plusadmin3267 at https://plus.maths.org/contentPuzzle page
https://plus.maths.org/content/puzzle-page-13
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Try your hand at some tricky trig! </div>
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<div class="pub_date">Mar 2002</div>
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<h2>Tricky Trig</h2>
This month's puzzle comes in two parts - find x, marked in red, in each of the following trig diagrams. They're not as easy as they look!
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<p>You can send your solution by e-mail to <a href="mailto:plus@maths.cam.ac.uk">plus@maths.cam.ac.uk</a>.</p>
<p>If you are stumped by <a href="/issue18/puzzle/index.html">last issue's puzzle</a>, here is <a href="/issue18/puzzle/solution.html">the solution</a>.</p><div class="field field-type-nodereference field-field-sol-link">
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<a href="/content/puzzle-page-15">Tricky trig solution</a> </div>
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<p><a href="https://plus.maths.org/content/puzzle-page-13" target="_blank">read more</a></p>https://plus.maths.org/content/puzzle-page-13#comments19Sat, 01 Dec 2001 00:00:00 +0000plusadmin2852 at https://plus.maths.org/contentPlus Magazine
https://plus.maths.org/content/plus-magazine-25
<p><a href="https://plus.maths.org/content/plus-magazine-25" target="_blank">read more</a></p>19editorialSat, 01 Dec 2001 00:00:00 +0000plusadmin5107 at https://plus.maths.org/content'Life's other secret'
https://plus.maths.org/content/lifes-other-secret
<div class="pub_date">Mar 2002</div>
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<h2>Life's other secret: The new mathematics of the living world</h2>
Ever since Watson and Crick worked out the double helix structure of DNA in 1953, the role of genetics in biology has grown and grown.<p><a href="https://plus.maths.org/content/lifes-other-secret" target="_blank">read more</a></p>https://plus.maths.org/content/lifes-other-secret#comments19book reviewSat, 01 Dec 2001 00:00:00 +0000plusadmin3270 at https://plus.maths.org/contentOpinion
https://plus.maths.org/content/opinion-6
<p><a href="https://plus.maths.org/content/opinion-6" target="_blank">read more</a></p>19editorialSat, 01 Dec 2001 00:00:00 +0000plusadmin4869 at https://plus.maths.org/contentCareer interview: Statistical consulting
https://plus.maths.org/content/career-interview-statistical-consulting
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Rachel Thomas </div>
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<p><i>We would all like to think that the job we do makes a difference, but few of us would imagine that we could do this by being a mathematician. Plus talks to two consultant statisticians about how they use mathematics to make an impact in the "real" world.</i></p><p><a href="https://plus.maths.org/content/career-interview-statistical-consulting" target="_blank">read more</a></p>https://plus.maths.org/content/career-interview-statistical-consulting#comments19Business & Moneycareer interviewcomputer sciencestatistical consultingsurveySat, 01 Dec 2001 00:00:00 +0000plusadmin2403 at https://plus.maths.org/contentNew designs from Africa
https://plus.maths.org/content/new-designs-africa
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Paulus Gerdes </div>
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<b>Paulus Gerdes</b> takes us on a tour of the mathematical properties of some beautiful designs inspired by the traditional art of Angolan tribespeople. </div>
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<h2>Inspiration from Angolan traditional designs</h2>
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https://plus.maths.org/content/infinite-series-surprises
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C. J. Sangwin </div>
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Infinite series occupy a central and important place in mathematics. <b>C. J. Sangwin</b> shows us how eighteenth-century mathematician Leonhard Euler solved one of the foremost infinite series problems of his day. </div>
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<h3>Introduction</h3>
[maths]An infinite sum of the form \setcounter{equation}{0} \begin{equation} a_1 + a_2 + a_3 + \cdots = \sum_{k=1}^\infty a_k, \end{equation} is known as an infinite series. Such series appear in many areas of modern mathematics. Much of this topic was developed during the seventeenth century. Leonhard Euler continued this study and in the process solved many important problems.<p><a href="https://plus.maths.org/content/infinite-series-surprises" target="_blank">read more</a></p>https://plus.maths.org/content/infinite-series-surprises#comments19convergencedivergenceEuler's solution to the Basel problemgeometric seriesharmonic seriesinfinite seriesintegral testpower seriesSat, 01 Dec 2001 00:00:00 +0000plusadmin2202 at https://plus.maths.org/contentMaths in the dock
https://plus.maths.org/content/maths-dock
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Rachel Thomas </div>
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Chemists <b>John Watling</b> and <b>Allen Thomas</b> talk to <i>Plus</i> about the vital role of maths in presenting criminal evidence. </div>
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<p>Imagine you are one of the twelve members of a jury on a murder trial. You are asked to consider forensic evidence to determine if the gunshot residue from the crime scene matches material found on the defendant's clothing. Apart from the difficulty of having to cope with complex scientific information, you have the added pressure of knowing that your understanding of this evidence will have a
direct impact on someone else's life.<p><a href="https://plus.maths.org/content/maths-dock" target="_blank">read more</a></p>https://plus.maths.org/content/maths-dock#comments19degree of fitforensic mathematicsstatistical samplingternary plotSat, 01 Dec 2001 00:00:00 +0000plusadmin2201 at https://plus.maths.org/content
https://plus.maths.org/content/os/issue19/comingup/home
<p><a href="https://plus.maths.org/content/os/issue19/comingup/home" target="_blank">read more</a></p>19editorialWed, 01 Dec 1999 00:00:00 +0000plusadmin5106 at https://plus.maths.org/content