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Exterior Calculus

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 gener...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Polanco, Carlos
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Singapore : Bentham Science Publishers, 2021.
Temas:
Acceso en línea:Texto completo

MARC

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245 1 0 |a Exterior Calculus  |h [electronic resource]. 
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300 |a 1 online resource (141 p.) 
500 |a Description based upon print version of record. 
505 0 |a 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 
520 |a 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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