limit
http://plus.maths.org/content/taxonomy/term/273
enThe life and numbers of Fibonacci
http://plus.maths.org/content/life-and-numbers-fibonacci
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R.Knott and the Plus team </div>
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The Fibonacci sequence – 0, 1, 1, 2, 3, 5, 8, 13, ... – is one of the most famous pieces of mathematics. We see how these numbers appear in multiplying rabbits and bees, in the turns of sea shells and sunflower seeds, and how it all stemmed from a simple example in one of the most important books in Western mathematics. </div>
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<p>Fibonacci is one of the most famous names in mathematics. This would come as a surprise to Leonardo Pisano, the mathematician we now know by that name. And he might have been equally surprised that he has been immortalised in the famous sequence – 0, 1, 1, 2, 3, 5, 8, 13, ... – rather than for what is considered his far greater mathematical achievement – helping to popularise our modern number system in the Latin-speaking world.
</p><p><a href="http://plus.maths.org/content/life-and-numbers-fibonacci" target="_blank">read more</a></p>http://plus.maths.org/content/life-and-numbers-fibonacci#comments3FibonacciFibonacci numbergolden ratiohistory of mathematicslimitsequenceMon, 04 Nov 2013 12:00:00 +0000plusadmin2148 at http://plus.maths.org/contentMaths in a minute: Take it to the limit
http://plus.maths.org/content/maths-minute-take-it-limit
<p>Sequences of numbers can have limits. For example, the sequence 1, 1/2,
1/3, 1/4, ... has the limit 0 and the sequence 0, 1/2, 2/3, 3/4, 4/5, ...
has the limit 1.</p>
<div class="rightimage" style="width: 350px;"><img src="http://plus.maths.org/content/sites/plus.maths.org/files/blog/012013/limits.png" width="350" height="179" alt="Limits"/><p></p><p><a href="http://plus.maths.org/content/maths-minute-take-it-limit" target="_blank">read more</a></p>http://plus.maths.org/content/maths-minute-take-it-limit#commentslimitSat, 16 Feb 2013 09:40:37 +0000mf3445865 at http://plus.maths.org/contentMaking the grade: Part II
http://plus.maths.org/content/making-grade-part-ii
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Chris Sangwin </div>
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<b>Calculus</b> is a collection of tools, such as differentiation and integration, for solving problems in mathematics which involve "rates of change" and "areas". In the second of two articles aimed specially at students meeting calculus for the first time, Chris Sangwin tells us how to move on from first principles to differentiation as we know and love it! </div>
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<div class="pub_date">January 2004</div>
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<p><a href="http://plus.maths.org/content/making-grade-part-ii" target="_blank">read more</a></p>http://plus.maths.org/content/making-grade-part-ii#comments28calculuschain rulederivativedifferentiationgradientlimitlinearityproduct rulequotient ruleslopeThu, 01 Jan 2004 00:00:00 +0000plusadmin2240 at http://plus.maths.org/contentMaking the grade
http://plus.maths.org/content/making-grade
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Chris Sangwin </div>
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<b>Calculus</b> is a collection of tools, such as differentiation and integration, for solving problems in mathematics which involve "rates of change" and "areas". In the first of two articles aimed specially at students meeting calculus for the first time, Chris Sangwin tells us about these tools - without doubt, the some of the most important in all of mathematics. </div>
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<div class="pub_date">November 2003</div>
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<p><a href="http://plus.maths.org/content/making-grade" target="_blank">read more</a></p>http://plus.maths.org/content/making-grade#comments27calculusderivativedifferentiationgradientlimitslopeSat, 01 Nov 2003 00:00:00 +0000plusadmin2236 at http://plus.maths.org/contentLight attenuation and exponential laws
http://plus.maths.org/content/light-attenuation-and-exponential-laws
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Ian Garbett </div>
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Arguably, the exponential function crops up more than any other when using mathematics to describe the physical world. In the first of two articles on physical phenomena which obey exponential laws, <b>Ian Garbett</b> discusses light attenuation - the way in which light decreases in intensity as it passes through a medium. </div>
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<div class="pub_date">January 2001</div>
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<h2>Introduction</h2>
<p>In 1947 a young Bedouin shepherd found some ancient scrolls while investigating a small opening in the cliffs near the western shores of the Dead Sea. Three ancient scrolls were made from leather, wrapped in decayed linen, and were covered in ancient scripts.</p>
<p><img src="/issue13/features/garbett/scrolls.gif" /></p><p><a href="http://plus.maths.org/content/light-attenuation-and-exponential-laws" target="_blank">read more</a></p>http://plus.maths.org/content/light-attenuation-and-exponential-laws#comments13exponential lawLambert Law of Absorptionlight attenuationlimitlogarithmic decaymathematical modellingradiationattenuationMon, 01 Jan 2001 00:00:00 +0000plusadmin2176 at http://plus.maths.org/contentMathematical mysteries: Zeno's Paradoxes
http://plus.maths.org/content/mathematical-mysteries-zenos-paradoxes
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Rachel Thomas </div>
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<p>The paradoxes of the philosopher Zeno, born approximately 490 BC in southern Italy, have puzzled mathematicians, scientists and philosophers for millennia. Although none of his work survives today, over 40 paradoxes are attributed to him which appeared in a book he wrote as a defense of the philosophies of his teacher Parmenides.</p>
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<p>The paradoxes of the philosopher <a href="http://www-groups.dcs.st-andrews.ac.uk/~history/Mathematicians/Zeno_of_Elea.html">Zeno</a>, born approximately 490 BC in southern Italy, have puzzled mathematicians, scientists and philosophers for millennia. Although none of his work survives today, over 40 paradoxes are attributed to him which appeared in a book he wrote as a defense of the
philosophies of his teacher Parmenides.<p><a href="http://plus.maths.org/content/mathematical-mysteries-zenos-paradoxes" target="_blank">read more</a></p>http://plus.maths.org/content/mathematical-mysteries-zenos-paradoxes#comments17Achilles ParadoxArrow Paradoxconvergencegeometric serieslimitMathematical mysteriesrelativityworldlineZeno's paradoxesFri, 01 Dec 2000 00:00:00 +0000plusadmin4753 at http://plus.maths.org/content