ENGLISH

Stokes's Theorem

By Benjamin McKay

Book information

Year
2021
Language
english
Format
PDF
Filesize
103 MB (108147048 bytes)
Edition
11/11/2021
Pages
\306
Time added
2022-12-20 09:10:13
Differential FormsDifferential GeometryMathematics

Description

1 Euclidean Space 2 Compact Sets 3 Differentiation 4 Maxima and Minima 5 Integration 6 The Contraction Mapping Theorem 7 The Inverse Function Theorem 8 The Implicit Function Theorem 9 Manifolds 10 Boundaries and Corners 11 Vector Fields 12 Differential Forms 13 Differentiating Differential Forms 14 Integrating Differential Forms 15 Stokes's Theorem 16 The Brouwer Fixed Point Theorem 17 Change of Variable in Integrals 18 Stokes's Theorem 19 Advanced Linear Algebra 20 The Brouwer Fixed Point Theorem 21 Manifolds from Inside 22 Lagrange Multipliers 23 The Gradient 24 Length, Area and Volume 25 Immersed Submanifolds 26 Calibrations 27 Sard's Theorem 28 Brackets of Vector Fields Hints Bibliography List of notation

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