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005 | 20220908100206.0 | ||
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_a515.353 _223 |
049 | _aMAIN | ||
100 | 1 |
_aNahin, Paul J., _eauthor. _965447 |
|
245 | 1 | 0 |
_aHot molecules, cold electrons : _bfrom the mathematics of heat to the development of the trans-Atlantic telegraph cable / _cPaul J. Nahin. |
264 | 1 |
_aPrinceton, New Jersey : _bPrinceton University Press, _c[2020] |
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264 | 4 | _c�2020 | |
300 |
_a1 online resource (xiii, 212 pages) : _billustrations |
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_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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_atext file _bPDF _2rda |
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504 | _aIncludes bibliographical references and index. | ||
505 | 0 | _aMathematics and physics -- Fourier's mathematics -- The heat equation -- Solving the heat equation -- William Thomson and the infinitely long telegraph cable equation -- Epilogue. | |
520 |
_a"This book is a testament to the intimate, mutual embrace of mathematics and physics. It achieves that by telling the story of an historical event of tremendous impact upon society, both spiritually and technically -- the mid-19th century construction of the trans-Atlantic telegraph cable, which reduced the time to send a message across the ocean from weeks to minutes. The story of the cable actually begins decades earlier, at the start of the century, with the French mathematical physicist Joseph Fourier's development of the mathematics that the Scottish physicist William Thomson (later Lord Kelvin) would use to analyze the electrical physics of the cable. The story of Fourier opens the book, that of Thomson completes it, and in-between the reader will learn how to derive Fourier's second-order partial differential equation for the flow of heat energy in matter, how Fourier solved the heat equation, how Thomson used Fourier's solutions to calculate the age of the Earth (imagined to be the result of the of an initially molten sphere of blinding brilliance) and, finally, how Thomson showed that the heat equation also describes the Atlantic cable. An epilogue describing the post-Thomson developments completes the book. All readers who have completed first courses at the level of AP-calculus and AP-physics will be able to read this book. This is a perhaps surprising feature of the book, as the mathematics discussed is normally not encountered until the second year (or even later) of college-level work. This book shows that, in fact, the technical material is fully graspable by a college freshman. Unlike a pure technical book, readers will also find a lot of fascinating history in this book (including the bizarre story of how the English novelist Charles Dickens used the Atlantic cable to send a coded message -- during his 1867 American reading tour -- to avoid a career-damaging scandal concerning his mistress)"-- _cProvided by publisher. |
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546 | _aIn English. | ||
588 | 0 | _aPrint version record. | |
590 |
_aIEEE _bIEEE Xplore Princeton University Press eBooks Library |
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600 | 1 | 0 |
_aFourier, Jean-Baptiste-Joseph, _d1768-1830. _965448 |
600 | 1 | 0 |
_aKelvin, William Thomson, _cBaron, _d1824-1907. _965449 |
600 | 1 | 7 |
_aFourier, Jean-Baptiste-Joseph, _d1768-1830 _2fast _0(OCoLC)fst00007560 _965448 |
600 | 1 | 7 |
_aKelvin, William Thomson, _cBaron, _d1824-1907 _2fast _0(OCoLC)fst00046571 _965449 |
650 | 0 |
_aHeat equation. _965450 |
|
650 | 0 |
_aMathematical physics _xHistory _y19th century. _965451 |
|
650 | 0 |
_aTransatlantic cables _xHistory. _965452 |
|
650 | 0 |
_aTelegraph cables _xHistory. _965453 |
|
650 | 6 |
_a�Equation de la chaleur. _965454 |
|
650 | 6 |
_aPhysique math�ematique _xHistoire _y19e si�ecle. _965455 |
|
650 | 6 |
_aC�ables sous-marins _zAtlantique, Oc�ean _xHistoire. _965456 |
|
650 | 6 |
_aC�ables t�el�egraphiques _xHistoire. _965457 |
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650 | 7 |
_aSCIENCE _xMechanics _xThermodynamics. _2bisacsh _98411 |
|
650 | 7 |
_aHeat equation _2fast _0(OCoLC)fst00953865 _965450 |
|
650 | 7 |
_aMathematical physics _2fast _0(OCoLC)fst01012104 _911013 |
|
650 | 7 |
_aTelegraph cables _2fast _0(OCoLC)fst01146164 _965458 |
|
650 | 7 |
_aTransatlantic cables _2fast _0(OCoLC)fst01736042 _965459 |
|
648 | 7 |
_a1800-1899 _2fast _925919 |
|
655 | 4 |
_aElectronic books. _93294 |
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655 | 7 |
_aHistory _2fast _0(OCoLC)fst01411628 _95289 |
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776 | 0 | 8 |
_iPrint version: _aNahin, Paul J. _tHot molecules, cold electrons. _dPrinceton, New Jersey : Princeton University Press, [2020] _z9780691191270 _w(DLC) 2019027369 _w(OCoLC)1139026830 |
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