Applicable Differential Geometry (London Mathematical by M. Crampin,F. A. E. Pirani

By M. Crampin,F. A. E. Pirani

this can be an advent to geometrical themes which are worthwhile in utilized arithmetic and theoretical physics, together with manifolds, metrics, connections, Lie teams, spinors and bundles, getting ready readers for the research of contemporary remedies of mechanics, gauge fields theories, relativity and gravitation. The order of presentation corresponds to that used for the correct fabric in theoretical physics: the geometry of affine areas, that's acceptable to big relativity thought, in addition to to Newtonian mechanics, is constructed within the first half the ebook, and the geometry of manifolds, that's wanted for common relativity and gauge box thought, within the moment part. research is integrated now not for its personal sake, yet merely the place it illuminates geometrical rules. the fashion is casual and transparent but rigorous; every one bankruptcy ends with a precis of vital techniques and effects. moreover there are over 650 workouts, making this a ebook that's useful as a textual content for complicated undergraduate and postgraduate students.

Show description

Read or Download Applicable Differential Geometry (London Mathematical Society Lecture Note Series) PDF

Similar geometry & topology books

Manifolds all of whose Geodesics are Closed (Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge)

X 1 O S R Cher lecteur, J'entre bien tard dans l. a. sphere etroite des ecrivains au double alphabet, moi qui, il y a plus de quarante ans deja, avais accueilli sur mes terres un basic epris de mathematiques. JI m'avait parle de ses projets grandioses en promettant d'ailleurs de m'envoyer ses ouvrages de geometrie.

Mathematical Excursions to the World's Great Buildings

From the pyramids and the Parthenon to the Sydney Opera residence and the Bilbao Guggenheim, this booklet takes readers on an eye-opening travel of the math in the back of a few of the world's so much impressive structures. fantastically illustrated, the booklet explores the milestones in simple arithmetic that liven up the knowledge of those structures and combines this with an in-depth examine their aesthetics, background, and constitution.

The Mathematics of Knots: Theory and Application: 1 (Contributions in Mathematical and Computational Sciences)

The current quantity grew out of the Heidelberg Knot idea Semester, prepared by means of the editors in iciness 2008/09 at Heidelberg college. The contributed papers convey the reader modern at the at the moment so much actively pursued components of mathematical knot conception and its purposes in mathematical physics and cellphone biology.

Lectures on Algebraic Cycles (New Mathematical Monographs)

Spencer Bloch's 1979 Duke lectures, a milestone in sleek arithmetic, were out of print nearly in view that their first ebook in 1980, but they've got remained influential and are nonetheless the easiest position to benefit the guiding philosophy of algebraic cycles and causes. This version, now professionally typeset, has a brand new preface through the writer giving his viewpoint on advancements within the box during the last 30 years.

Extra info for Applicable Differential Geometry (London Mathematical Society Lecture Note Series)

Example text

Download PDF sample

Rated 4.04 of 5 – based on 44 votes