Download e-book for kindle: Differential Geometry of Curves and Surfaces: Revised and by Manfredo P. do Carmo

By Manfredo P. do Carmo

One of the main time-honored texts in its box, this quantity introduces the differential geometry of curves and surfaces in either neighborhood and worldwide features. The presentation departs from the conventional method with its extra large use of hassle-free linear algebra and its emphasis on easy geometrical evidence instead of equipment or random info. Many examples and routines improve the transparent, well-written exposition, besides tricks and solutions to a couple of the problems.
The remedy starts with a bankruptcy on curves, by way of explorations of normal surfaces, the geometry of the Gauss map, the intrinsic geometry of surfaces, and international differential geometry. compatible for complex undergraduates and graduate scholars of arithmetic, this text's necessities comprise an undergraduate path in linear algebra and a few familiarity with the calculus of a number of variables. For this moment version, the writer has corrected, revised, and up to date the total volume.

Show description

Read or Download Differential Geometry of Curves and Surfaces: Revised and Updated Second Edition (Dover Books on Mathematics) PDF

Best geometry & topology books

Get A Treatise on the Differential Geometry of Curves and PDF

Created in particular for graduate scholars, this introductory treatise on differential geometry has been a hugely winning textbook for a few years. Its strangely designated and urban method encompasses a thorough clarification of the geometry of curves and surfaces, focusing on difficulties that might be so much priceless to scholars.

Download e-book for kindle: Lectures on Algebraic Cycles (New Mathematical Monographs) by Spencer Bloch

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

Download PDF by Junjiro Noguchi: Analytic Function Theory of Several Variables: Elements of

The aim of this booklet is to give the classical analytic functionality thought of a number of variables as a typical topic in a process arithmetic after studying the trouble-free fabrics (sets, normal topology, algebra, one complicated variable). This contains the basic elements of Grauert–Remmert's volumes, GL227(236) (Theory of Stein areas) and GL265 (Coherent analytic sheaves) with a reducing of the extent for beginner graduate scholars (here, Grauert's direct picture theorem is restricted to the case of finite maps).

New PDF release: Nonarchimedean and Tropical Geometry (Simons Symposia)

Thisvolume grew out of 2 Simons Symposia on "Nonarchimedean and tropicalgeometry" which happened at the island of St. John in April 2013 and inPuerto Rico in February 2015. every one assembly accrued a small staff of expertsworking close to the interface among tropical geometry and nonarchimedeananalytic areas for a chain of inspiring and provocative lectures on cuttingedge examine, interspersed with energetic discussions and collaborative paintings insmall teams.

Additional resources for Differential Geometry of Curves and Surfaces: Revised and Updated Second Edition (Dover Books on Mathematics)

Example text

Download PDF sample

Differential Geometry of Curves and Surfaces: Revised and Updated Second Edition (Dover Books on Mathematics) by Manfredo P. do Carmo

by William

Rated 4.32 of 5 – based on 31 votes