Fast Fourier Transform and Its Applications
Fast Fourier Transform and Its Applications

TheFastFourierTransform(FFT)isamathematicalmethodwidelyusedinsignalprocessing.ThisbookfocusesontheapplicationoftheFFTinavarietyofareas:Biomedicalengineering,mechanicalan

(Almost) Impossible Integrals, Sums, and Series
(Almost) Impossible Integrals, Sums, and Series

Thisbookcontainsamultitudeofchallengingproblemsandsolutionsthatarenotcommonlyfoundinclassicaltextbooks.Onegoalofthebookistopresentthesefascinatingmathematicalproblemsina

Statistical Decision Theory and Bayesian Analysis
Statistical Decision Theory and Bayesian Analysis

InthisneweditiontheauthorhasaddedsubstantialmaterialonBayesiananalysis,includinglengthynewsectionsonsuchimportanttopicsasempiricalandhierarchicalBayesanalysis,Bayesiancalc

Lie Groups, Lie Algebras, and Representations
Lie Groups, Lie Algebras, and Representations

Liegroups,Liealgebras,andrepresentationtheoryarethemainfocusofthistext.Inordertokeeptheprerequisitestoaminimum,theauthorrestrictsattentiontomatrixLiegroupsandLiealgebr

String Theory and M-Theory
String Theory and M-Theory

Stringtheoryisoneofthemostexcitingandchallengingareasofmoderntheoreticalphysics.Thisbookguidesthereaderfromthebasicsofstringtheorytorecentdevelopments.Itintroducestheba

Game, Set and Math
Game, Set and Math

Thesepun-studdedfablesbyapopularsciencewritermakecomplicatedmathematicalconceptsaccessibleandfun.Twelveessaystakeaplayfulapproachtomathematics,investigatingthetopologyofawa

Data-Driven Science and Engineering
Data-Driven Science and Engineering

Data-drivendiscoveryisrevolutionizingthemodeling,prediction,andcontrolofcomplexsystems.Thistextbookbringstogethermachinelearning,engineeringmathematics,andmathematicalphysicsto

Philosophy of Mathematics and Deductive Structure in Euclid's Elements
Philosophy of Mathematics and Deductive Structure in Euclid's Elements

AsurveyofEuclid's"Elements,"thistextprovidesanunderstandingoftheclassicalGreekconceptionofmathematicsanditssimilaritiestomodernviewsaswellasitsdifferences.Itfocusesonph