微积分,Stewart,第六版（Calculus,6theditionStewart）pdf

并发加权mu－演算(concurrentweightedmu－calculus，CWC)是对Kim．G．Larsen所提出的并发加权逻辑的强有力的扩充，通过加入不动点算子，增强表达能力，实现对复杂模块化系统的有效建模。
本文对CWC进行了研究，给出了CWC的语法并阐述了CWC的标记加权转移语义。
μ－演算与自动机理论密不可分，引入了轮替树自动机用于处理CWC，阐述了轮替树自动机与CWC之间的联系，构建了一种特定的用于CWC的轮替树自动机模型。
一致性内插定理是Craig内插定理的加强和扩展，为了探究CWC上的一致性内插定理，根据AndrewM．Pitts提出的方法，利用互模拟量词寻找一致性插值。
给出了互模拟量词在标记加权转移系统上的语义，并研究了互模拟量词和CWC上一致性内插定理之间的关系。
在此过程中利用ω展开(unravelling)，由ω展开树的一系列特性，结合轮替树自动机，证明了一致性内插定理在CWC上成立。

Atypesystemisasyntacticmethodforenforcinglevelsofabstractioninprograms.Thestudyoftypesystems--andofprogramminglanguagesfromatype-theoreticperspective--hasimportantapplicationsinsoftwareengineering,languagedesign,high-performancecompilers,andsecurity.Thistextprovidesacomprehensiveintroductionbothtotypesystemsincomputerscienceandtothebasictheoryofprogramminglanguages.Theapproachispragmaticandoperational;eachnewconceptismotivatedbyprogrammingexamplesandthemoretheoreticalsectionsaredrivenbytheneedsofimplementations.Eachchapterisaccompaniedbynumerousexercisesandsolutions,aswellasarunningimplementation.Dependenciesbetweenchaptersareexplicitlyidentified,allowingreaderstochooseavarietyofpathsthroughthematerial.Thecoretopicsincludetheuntypedlambda-calculus,simpletypesystems,typereconstruction,universalandexistentialpolymorphism,subtyping,boundedquantification,recursivetypes,kinds,andtypeoperators.Extendedcasestudiesdevelopavarietyofapproachestomodelingthefeaturesofobject-orientedlanguages.(Thefulltableofcontentsisavailablehere.)

大神JamesStewart的经典教材。
学习人工智能数学基础的首选之一。

Calculus:ACompleteCourse,EighthEdition版本withMyMathLab(8thEdition版本)By作者:RobertA.Adams–ChristopherEssexISBN-10书号:0321880218ISBN-13书号::9780321880215Edition版本:8ReleaseFinelybook出版日期:2013-01-02pages页数(1136)http://finelybook.com/calculus-a-complete-course-8th-edition/

两本典型微积分课本Calculus由两位大神JamesStewart,GilbertStrang分别编著。

经典原版数学教材，最新版本，资源比较难找，引荐给大家

Forthoseenteringthefieldofartificialneuralnetworks,therehasbeenanacuteneedforanauthoritativetextbookthatexplainsthemainideasclearlyandconsistentlyusingthebasictoolsoflinearalgebra,calculus,andsimpleprobabilitytheory.Therehavebeenmanyattemptstoprovidesuchatext,butuntilnow,nonehassucceeded.Someauthorshavefailedtoseparatethebasicideasandprinciplesfromthesoftandfuzzyintuitionsthatledtosomeofthemodelsaswellastomostoftheexaggeratedclaims.Othershavebeenunwillingtousethebasicmathematicaltoolsthatareessentialforarigorousunderstandingofthematerial.Yetothershavetriedtocovertoomanydifferentkindsofneuralnetworkwithoutgoingintoenoughdepthonanyoneofthem.Themostsuccessfulattempttodatehasbeen"IntroductiontotheTheoryofNeuralComputation"byHertz,KroghandPalmer.Unfortunately,thisbookstartedlifeasagraduatecourseinstatisticalphysicsanditshows.Sodespiteitsmanyadmirablequalitiesitisnotidealasageneraltextbook.

Mapleisacomputerprogramcapableofperformingawidevarietyofmathematicaloperations.Itoriginatedintheearly1980sasacomputeralgebrasystem,buttodaythisdescriptiondoesn’treallydoitjustice.Maplehasfacilitiesforalgebra,calculus,linearalgebra,graphics(twoandthree-dimensionalplots,andanimations),numericalcalculationstoarbitraryprecision,andmanyotherthingsbesides.Itiswidelyusedinuniversitiesacrosstheworld,andisparticularlyusefulfortasksthataretediousanderror-pronewhenperformedbyhumans,suchasmanipulatingcomplicatedseriesexpansionsandsolvinglargesetsofsimultaneousequations.Usedcorrectly,Maplecansavetimeandquicklysolveproblemsthatwouldotherwisebeintractable.Usedincorrectly,itcanleadtofrustration,andthedestructionofexpensiveITequipment.Atthetimeofwriting,thecurrentversionisMaple2016.VersionsbeforeMaple2015werenumberedstartingfrom1;thelastofthesewasMaple18.Newfeaturesintroducedineachversionfro妹妹aple4.0onwardscanbeviewedusingthehelpsystem(seeSection2.2).Forthemostpart,recentchangeshavebeenrelativelyminor,atleastasfarasthematerialinthisbookisconcerned.Consequently,alloftheexamplesworkwithbothMaple2015andMaple2016.Infact,mostwillworkinolderversionsaswell,thoughnaturallythenumberofexceptionsincreasesthefurtherbackonegoes.Twosubstantialnewfeaturesarethedataplotco妹妹and,discussedinSection6.6,andthenewrulesconcerningterminatingcharacters,describedinAppendixB(seealsoSection2.3).BothofthesewereintroducedinMaple2015.

ThereisanexplosionofinterestinBayesianstatistics,primarilybecauserecentlycreatedcomputationalmethodshavefinallymadeBayesiananalysistractableandaccessibletoawideaudience.DoingBayesianDataAnalysis,ATutorialIntroductionwithRandBUGS,isforfirstyeargraduatestudentsoradvancedundergraduatesandprovidesanaccessibleapproach,asallmathematicsisexplainedintuitivelyandwithconcreteexamples.Itassumesonlyalgebraand‘rusty’calculus.Unlikeothertextbooks,thisbookbeginswiththebasics,includingessentialconceptsofprobabilityandrandomsampling.Thebookgraduallyclimbsallthewaytoadvancedhierarchicalmodelingmethodsforrealisticdata.ThetextprovidescompleteexampleswiththeRprogramminglanguageandBUGSsoftware(bothfreeware),andbeginswithbasicprogrammingexamples,workingupgraduallytocompleteprogramsforcomplexanalysesandpresentationgraphics.Thesetemplatescanbeeasilyadaptedforalargevarietyofstudentsandtheirownresearchneeds.ThetextbookbridgesthestudentsfromtheirundergraduatetrainingintomodernBayesianmethods.Accessible,includingthebasicsofessentialconceptsofprobabilityandrandomsamplingExampleswithRprogramminglanguageandBUGSsoftwareComprehensivecoverageofallscenariosaddressedbynon-bayesiantextbooks-t-tests,analysisofvariance(ANOVA)andcomparisonsinANOVA,multipleregression,andchi-square(contingencytableanalysis).CoverageofexperimentplanningRandBUGScomputerprogrammingcodeonwebsiteExerciseshaveexplicitpurposesandguidelinesforaccomplishment作者从概率统计和编程两方面入手，由浅入深地指点读者如何对实际数据进行贝叶斯分析。
全书分成三部分，第一部分为基础篇：关于参数、概率、贝叶斯法则及R软件，第二部分为二元比例推断的基本理论，第三部分为广义线性模型。
内容包括贝叶斯统计的基本理论、实验设计的有关知识、以层次模型和MCMC为代表的复杂方法等。
同时覆盖所有需要用到非贝叶斯方法的情况，其中包括：t检验，方差分析（ANOVA）和ANOVA中的多重比较法，多元线性回归，Logistic回归，序列回归和卡方（列联表）分析。
针对不同的学习目标（如R、BUGS等）列出了相应的重点章节；
整理出贝叶斯统计中某些与传统统计学可作类比的内容，方便读者快速学习。
本中提出的方法都是可操作的，并且所有涉及数学理论的地方都已经用实际例子非常直观地进行了解释。
由于并不对读者的统计或

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