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Exterior Calculus: Theory and Cases

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Title: Exterior Calculus: Theory and Cases
Description: 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.
Authors: Carlos, Polanco
Resource Type: eBook.
Subjects: Calculus
Categories: MATHEMATICS / Calculus, MATHEMATICS / Geometry / Differential, MATHEMATICS / Study & Teaching
Database: eBook Collection (EBSCOhost)
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  – Type: ebook-pdf
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Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 3030068
RelevancyScore: 1103
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 1103.19409179688
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  Data: Exterior Calculus: Theory and Cases
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  Data: 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.
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      – Code: 515
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Calculus
        Type: general
    Titles:
      – TitleFull: Exterior Calculus: Theory and Cases
        Type: main
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          Name:
            NameFull: Carlos, Polanco
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            NameFull: Carlos, Polanco
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          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2021
            – D: 03
              M: 12
              Type: profile
              Y: 2022
          Identifiers:
            – Type: isbn-print
              Value: 9789814998796
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              Value: 9789814998789
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            – TitleFull: Exterior Calculus: Theory and Cases
              Type: main
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