02607nam 22004333 450 991081669340332120230629221830.0981-4998-78-8(CKB)4100000012025642(MiAaPQ)EBC6724520(Au-PeEL)EBL6724520(OCoLC)1281973709(NjHacI)994100000012025642(EXLCZ)99410000001202564220211214d2021 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierExterior CalculusSingapore :Bentham Science Publishers,2021.©2021.1 online resource (141 pages)981-4998-79-6 Cover -- 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.Exterior 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.Exterior CalculusCalculusCalculus.515Polanco Carlos1094363MiAaPQMiAaPQMiAaPQBOOK9910816693403321Exterior Calculus3971464UNINA