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Linear and Complex Analysis for Applications (Advances in Applied Mathematics)

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en Limba Engleză Hardback – 12 Dec 2016
LinearandComplexAnalysisforApplicationsaimstounifyvariouspartsofmathematicalanalysisinanengagingmannerandtoprovideadiverseandunusualcollectionofapplications,bothtootherfieldsofmathematicsandtophysicsandengineering.Thebookevolvedfromseveraloftheauthor'steachingexperiences,hisresearchincomplexanalysisinseveralvariables,andmanyconversationswithfriendsandcolleagues.Ithasthreeprimarygoals:
 
  1. todevelopenoughlinearanalysisandcomplexvariabletheorytopreparestudentsinengineeringorappliedmathematicsforadvancedwork,
  2. tounifymanydistinctandseeminglyisolatedtopics,
  3. toshowmathematicsasbothinterestinganduseful,especiallyviathejuxtapositionofexamplesandtheorems.
 
ThebookrealizesthesegoalsbybeginningwithreviewsofLinearAlgebra,ComplexNumbers,andtopicsfromCalculusIII.Asthetopicsarebeingreviewed,newmaterialisinsertedtohelpthestudentdevelopskillinbothcomputationandtheory.Thematerialonlinearalgebraincludesinfinite-dimensionalexamplesarisingfromelementarycalculusanddifferentialequations.Lineandsurfaceintegralsarecomputedbothinthelanguageofclassicalvectoranalysisandbyusingdifferentialforms.Connectionsamongthetopicsandapplicationsappearthroughoutthebook.
Thetextweavesabstractmathematics,routinecomputationalproblems,andapplicationsintoacoherentwhole,whoseunifyingthemeislinearsystems.Itincludesmanyunusualexamplesandcontainsmorethan450exercises.
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Specificații

ISBN-13: 9781498756105
ISBN-10: 1498756107
Pagini: 264
Dimensiuni: 245 x 200 x 20 mm
Greutate: 0.68 kg
Editura: Taylor & Francis
Colecția Advances in Applied Mathematics
Seria Advances in Applied Mathematics