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1、CambridgeLibraryCoLLeCtionBooksofenduringscholarlyvalueMathematicalSciencesFromitspre-historicrootsinsimplecountingtothealgorithmspoweringmoderndesktopcomputers,fromthegeniusofArchimedestothegeniusofEinstein,advancesinmathematicalunderstandingandnumericalte
2、chniqueshavebeendirectlyresponsibleforcreatingthemodernworldasweknowit.Thisserieswillprovidealibraryofthemostinfluentialpublicationsandwritersonmathematicsinitsbroadestsense.Assuch,itwillshownotonlythedeeprootsfromwhichmodernscienceandtechnologyhavegrown,bu
3、talsotheastonishingbreadthofapplicationofmathematicaltechniquesinthehumanitiesandsocialsciences,andineverydaylife.TheAnalyticalTheoryofHeatFirstpublishedin1878,TheAnalyticalTheoryofHeatisAlexanderFreeman’sEnglishtranslationofFrenchmathematicianJosephFourier
4、’sTheorieAnalytiquedelaChaleur,originallypublishedinFrenchin1822.Inthisgroundbreakingstudy,arguingthatprevioustheoriesofmechanicsadvancedbysuchscientificgreatsasArchimedes,Galileo,Newtonandtheirsuccessorsdidnotexplainthelawsofheat,Fouriersetouttostudythemat
5、hematicallawsgoverningheatdiffusionandproposedthataninfinitemathematicalseriesmaybeusedtoanalysetheconductionofheatinsolids.Knowninscientificcirclesasthe‘FourierSeries’,thisworkpavedthewayformodernmathematicalphysics.Thistranslation,nowreissued,containsfoot
6、notesthatcross-referenceotherwritingsbyFourierandhiscontemporaries,alongwith20figuresandanextensivebibliography.Thisbookwillbeespeciallyusefulformathematicianswhoareinterestedintrigonometricseriesandtheirapplications.CambridgeUniversityPresshaslongbeenapion
7、eerinthereissuingofout-of-printtitlesfromitsownbacklist,producingdigitalreprintsofbooksthatarestillsoughtafterbyscholarsandstudentsbutcouldnotbereprintedeconomicallyusingtraditionaltechnology.TheCambridgeLibraryCollectionextendsthisactivitytoawiderrangeofbo
8、okswhicharestillofimportancetoresearchersandprofessionals,eitherforthesourcematerialtheycontain,oraslandmarksinthehistoryoftheiracademicdiscipline.Drawingfromtheworld-renownedcollectionsintheCambridgeU
