LEADER 02607nam 22004333 450 001 9910794504103321 005 20230629221830.0 010 $a981-4998-78-8 035 $a(CKB)4100000012025642 035 $a(MiAaPQ)EBC6724520 035 $a(Au-PeEL)EBL6724520 035 $a(OCoLC)1281973709 035 $a(NjHacI)994100000012025642 035 $a(EXLCZ)994100000012025642 100 $a20211214d2021 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aExterior Calculus 210 1$aSingapore :$cBentham Science Publishers,$d2021. 210 4$dİ2021. 215 $a1 online resource (141 pages) 311 $a981-4998-79-6 327 $aCover -- Title -- Copyright -- End User License Agreement -- Contents -- Foreword -- Preface -- Acknowledgements -- Dedication -- List of Credits -- List of Symbols -- Part I -- Chapter 1 -- Part II -- Chapter 2 -- Chapter 3 -- Chapter 4 -- Chapter 5 -- Chapter 6 -- Chapter 7 -- Part III -- Chapter 8 -- Chapter 9 -- References -- Subject Index. 330 $aExterior calculus is a branch of mathematics which involves differential geometry. In Exterior calculus the concept of differentiations is generalized to antisymmetric exterior derivatives and the notions of ordinary integration to differentiable manifolds of arbitrary dimensions. It therefore generalizes the fundamental theorem of calculus to Stokes' theorem. This textbook covers the fundamental requirements of exterior calculus in curricula for college students in mathematics and engineering programs. Chapters start from Heaviside-Gibbs algebra, and progress to different concepts in Grassman algebra. The final section of the book covers applications of exterior calculus with solutions. Readers will find a concise and clear study of vector calculus and differential geometry, along with several examples and exercises. The solutions to the exercises are also included at the end of the book. This is an ideal book for students with a basic background in mathematics who wish to learn about exterior calculus as part of their college curriculum and equip themselves with the knowledge to apply relevant theoretical concepts in practical situations. 517 $aExterior Calculus 606 $aCalculus 615 0$aCalculus. 676 $a515 700 $aPolanco$b Carlos$01094363 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910794504103321 996 $aExterior Calculus$93711902 997 $aUNINA