Visual Differential Geometry and Forms

Visual Differential Geometry and Forms

Tristan Needham

67,64 €
IVA incluido
Disponible
Editorial:
Princeton University Press
Año de edición:
2021
ISBN:
9780691203706
67,64 €
IVA incluido
Disponible

Selecciona una librería:

  • Librería Perelló (Valencia)
  • Librería Aciertas (Toledo)
  • El AlmaZen del Alquimista (Sevilla)
  • Librería Elías (Asturias)
  • Librería Kolima (Madrid)
  • Donde los libros
  • Librería Proteo (Málaga)

An inviting, intuitive, and visual exploration of differential geometry and formsVisual Differential Geometry and Forms fulfills two principal goals. In the first four acts, Tristan Needham puts the geometry back into differential geometry. Using 235 hand-drawn diagrams, Needham deploys Newton’s geometrical methods to provide geometrical explanations of the classical results. In the fifth act, he offers the first undergraduate introduction to differential forms that treats advanced topics in an intuitive and geometrical manner.Unique features of the first four acts include: four distinct geometrical proofs of the fundamentally important Global Gauss-Bonnet theorem, providing a stunning link between local geometry and global topology; a simple, geometrical proof of Gauss’s famous Theorema Egregium; a complete geometrical treatment of the Riemann curvature tensor of an n-manifold; and a detailed geometrical treatment of Einstein’s field equation, describing gravity as curved spacetime (General Relativity), together with its implications for gravitational waves, black holes, and cosmology. The final act elucidates such topics as the unification of all the integral theorems of vector calculus; the elegant reformulation of Maxwell’s equations of electromagnetism in terms of 2-forms; de Rham cohomology; differential geometry via Cartan’s method of moving frames; and the calculation of the Riemann tensor using curvature 2-forms. Six of the seven chapters of Act V can be read completely independently from the rest of the book.Requiring only basic calculus and geometry, Visual Differential Geometry and Forms provocatively rethinks the way this important area of mathematics should be considered and taught.

Artículos relacionados

  • Final Exam Review
    A. A. Frempong / AAFrempong
    Final Exam Review: Calculus 1 & 2 covers the following topics: a note to the student in preparing for exams; differentiation and integration of functions using a guided and an analytical approach. All the normally difficult to understand topics have been made easy to understand, apply and remember. The topics include continuity, limits of functions; proofs; differentiation of f...
    Disponible

    56,42 €

  • The Calculus Gallery
    William Dunham
    More than three centuries after its creation, calculus remains a dazzling intellectual achievement and the gateway to higher mathematics. This book charts its growth and development by sampling from the work of some of its foremost practitioners, beginning with Isaac Newton and Gottfried Wilhelm Leibniz in the late seventeenth century and continuing to Henri Lebesgue at the daw...
    Disponible

    26,61 €

  • Fréchet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces
    David Preiss / Jaroslav Tišer / Joram Lindenstrauss
    This book makes a significant inroad into the unexpectedly difficult question of existence of Fréchet derivatives of Lipschitz maps of Banach spaces into higher dimensional spaces. Because the question turns out to be closely related to porous sets in Banach spaces, it provides a bridge between descriptive set theory and the classical topic of existence of derivatives of vector...
    Disponible

    136,24 €

  • Visual Differential Geometry and Forms
    Tristan Needham
    An inviting, intuitive, and visual exploration of differential geometry and formsVisual Differential Geometry and Forms fulfills two principal goals. In the first four acts, Tristan Needham puts the geometry back into differential geometry. Using 235 hand-drawn diagrams, Needham deploys Newton’s geometrical methods to provide geometrical explanations of the classical results. ...
    Disponible

    184,36 €

  • Euclid in the Rainforest
    Joseph Mazur
    ...
    Disponible

    22,59 €

  • Difference Equations by Differential Equation Methods
    Peter E. Hydon
    ...
    Disponible

    61,71 €

Otros libros del autor

  • Visual Differential Geometry and Forms
    Tristan Needham
    An inviting, intuitive, and visual exploration of differential geometry and formsVisual Differential Geometry and Forms fulfills two principal goals. In the first four acts, Tristan Needham puts the geometry back into differential geometry. Using 235 hand-drawn diagrams, Needham deploys Newton’s geometrical methods to provide geometrical explanations of the classical results. ...
    Disponible

    184,36 €