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Visual Differential Geometry and Forms

A Mathematical Drama in Five Acts

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The book presents a unique approach to differential geometry, emphasizing geometric intuition through 235 hand-drawn diagrams. It revisits classical results using Newton's methods and offers distinct geometrical proofs of significant theorems, including the Global Gauss-Bonnet theorem and Gauss's Theorema Egregium. The final act introduces differential forms, covering advanced topics like Maxwell's equations, de Rham cohomology, and Einstein's field equations, making complex concepts accessible to undergraduates. The chapters can be read independently, enhancing flexibility for learners.

Wydanie

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Visual Differential Geometry and Forms, Tristan Needham

Język
Rok wydania
2021
Oprawa
(twarda)
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4,8
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Tytuł
Visual Differential Geometry and Forms
Podtytuł
A Mathematical Drama in Five Acts
Język
angielski
Rok wydania
2021
Oprawa
twarda
Liczba stron
536
ISBN13
9780691203690
Seria
Ocena
4,75 z 5
Opis
The book presents a unique approach to differential geometry, emphasizing geometric intuition through 235 hand-drawn diagrams. It revisits classical results using Newton's methods and offers distinct geometrical proofs of significant theorems, including the Global Gauss-Bonnet theorem and Gauss's Theorema Egregium. The final act introduces differential forms, covering advanced topics like Maxwell's equations, de Rham cohomology, and Einstein's field equations, making complex concepts accessible to undergraduates. The chapters can be read independently, enhancing flexibility for learners.