Methods of Mathematical Physics, Vol. 2
Methods of Mathematical Physics, Vol. 2

SincethefirstvolumeofthisworkcameoutinGermanyin1937,thisbook,togetherwithitsfirstvolume,hasremainedstandardinthefield.CourantandHilbert'streatmentrestoresthehistoricall

Mathematical Methods of Classical Mechanics (Graduate Texts in Mathematics)
Mathematical Methods of Classical Mechanics (Graduate Texts in Mathematics)

Inthistext,theauthorconstructsthemathematicalapparatusofclassicalmechanicsfromthebeginning,examiningallthebasicproblemsindynamics,includingthetheoryofoscillations,thetheory

Mathematical Logic
Mathematical Logic

Thisintroductiontofirst-orderlogicclearlyworksouttheroleoffirst-orderlogicinthefoundationsofmathematics,particularlythetwobasicquestionsoftherangeoftheaxiomaticmethodand

Mathematical Thought from Ancient to Modern Times, Vol. 3
Mathematical Thought from Ancient to Modern Times, Vol. 3

Thiscomprehensivehistorytracesthedevelopmentofmathematicalideasandthecareersofthemenresponsibleforthem.Volume1looksatthediscipline'soriginsinBabylonandEgypt,thecreationo

Our Mathematical Universe
Our Mathematical Universe

MaxTegmarkleadsusonanastonishingjourneythroughpast,presentandfuture,andthroughthephysics,astronomyandmathematicsthatarethefoundationofhiswork,mostparticularlyhishypothesi

Methods of Mathematical Physics, Vol. 1
Methods of Mathematical Physics, Vol. 1

这套书其实是非常棒的,虽然年代老了,但内容没有老。里面讲variation那章比其他很多数学家写得好(对于像我一样是物理学专业的人而言)Hilbert是个强人!大卫·希尔伯特(DavidHilbert,1862年1月23日-1943年2月14日),德国数学家,是19世纪和20世纪初最具影响力的数学家之一。1900年,在巴黎的国际数学家大会提出的一系列问题(希尔伯特的23个问题

Markov Chains and Stochastic Stability (Cambridge Mathematical Library)
Markov Chains and Stochastic Stability (Cambridge Mathematical Library)

Meyn&Tweedieisback!ThebibleonMarkovchainsingeneralstatespaceshasbeenbroughtuptodatetoreflectdevelopmentsinthefieldsince1996-manyofthemsparkedbypublicationofthefirs