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Curve E Superfici
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Download or read book Curve e superfici written by M. Abate and published by Springer Science & Business Media. This book was released on 2007-02-26 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: Questo è un libro di testo sulla geometria differenziale di curve e superfici, adatto agli studenti universitari del secondo e terzo anno dei corsi di Laurea in Matematica, Fisica, Ingegneria e Informatica.
Book Synopsis Curve e superfici by : Marco Abate (matematico.)
Download or read book Curve e superfici written by Marco Abate (matematico.) and published by . This book was released on 2008 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Appunti di geometria by : Ada Varisco
Download or read book Appunti di geometria written by Ada Varisco and published by . This book was released on 1994 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Curves and Surfaces written by M. Abate and published by Springer Science & Business Media. This book was released on 2012-06-11 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides an introduction to Differential Geometry of Curves and Surfaces. The theory of curves starts with a discussion of possible definitions of the concept of curve, proving in particular the classification of 1-dimensional manifolds. We then present the classical local theory of parametrized plane and space curves (curves in n-dimensional space are discussed in the complementary material): curvature, torsion, Frenet’s formulas and the fundamental theorem of the local theory of curves. Then, after a self-contained presentation of degree theory for continuous self-maps of the circumference, we study the global theory of plane curves, introducing winding and rotation numbers, and proving the Jordan curve theorem for curves of class C2, and Hopf theorem on the rotation number of closed simple curves. The local theory of surfaces begins with a comparison of the concept of parametrized (i.e., immersed) surface with the concept of regular (i.e., embedded) surface. We then develop the basic differential geometry of surfaces in R3: definitions, examples, differentiable maps and functions, tangent vectors (presented both as vectors tangent to curves in the surface and as derivations on germs of differentiable functions; we shall consistently use both approaches in the whole book) and orientation. Next we study the several notions of curvature on a surface, stressing both the geometrical meaning of the objects introduced and the algebraic/analytical methods needed to study them via the Gauss map, up to the proof of Gauss’ Teorema Egregium. Then we introduce vector fields on a surface (flow, first integrals, integral curves) and geodesics (definition, basic properties, geodesic curvature, and, in the complementary material, a full proof of minimizing properties of geodesics and of the Hopf-Rinow theorem for surfaces). Then we shall present a proof of the celebrated Gauss-Bonnet theorem, both in its local and in its global form, using basic properties (fully proved in the complementary material) of triangulations of surfaces. As an application, we shall prove the Poincaré-Hopf theorem on zeroes of vector fields. Finally, the last chapter will be devoted to several important results on the global theory of surfaces, like for instance the characterization of surfaces with constant Gaussian curvature, and the orientability of compact surfaces in R3.
Book Synopsis Curve e superficie del secondo ordine by : Luigi Berzolari
Download or read book Curve e superficie del secondo ordine written by Luigi Berzolari and published by . This book was released on 1922 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Generazione di curve e superfici by : Antonio Galli
Download or read book Generazione di curve e superfici written by Antonio Galli and published by . This book was released on 2011 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Curve e superfici Quasi-Bézier written by and published by . This book was released on 2010 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Teoria elementare delle curve algebriche piane e delle superfici di Riemann compatte by : A. Cassa
Download or read book Teoria elementare delle curve algebriche piane e delle superfici di Riemann compatte written by A. Cassa and published by . This book was released on 1983 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Teoria delle curve e delle superficie del secondo ordine preceduta da principi fondamentali della geometria analitica di J. L. Boucharlat by : Jean-Louis Boucharlat
Download or read book Teoria delle curve e delle superficie del secondo ordine preceduta da principi fondamentali della geometria analitica di J. L. Boucharlat written by Jean-Louis Boucharlat and published by . This book was released on 1834 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Teoria delle curve e delle superficie del secondo ordine preceduta da principi fondamentali della geometria analitica by : Jean-Louis Boucharlat
Download or read book Teoria delle curve e delle superficie del secondo ordine preceduta da principi fondamentali della geometria analitica written by Jean-Louis Boucharlat and published by . This book was released on 1834 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Curve e superficie del secondo ordine by :
Download or read book Curve e superficie del secondo ordine written by and published by . This book was released on 1942 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis From Classical to Modern Algebraic Geometry by : Gianfranco Casnati
Download or read book From Classical to Modern Algebraic Geometry written by Gianfranco Casnati and published by Birkhäuser. This book was released on 2017-04-20 with total page 760 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book commemorates the 150th birthday of Corrado Segre, one of the founders of the Italian School of Algebraic Geometry and a crucial figure in the history of Algebraic Geometry. It is the outcome of a conference held in Turin, Italy. One of the book's most unique features is the inclusion of a previously unpublished manuscript by Corrado Segre, together with a scientific commentary. Representing a prelude to Segre's seminal 1894 contribution on the theory of algebraic curves, this manuscript and other important archival sources included in the essays shed new light on the eminent role he played at the international level. Including both survey articles and original research papers, the book is divided into three parts: section one focuses on the implications of Segre's work in a historic light, while section two presents new results in his field, namely Algebraic Geometry. The third part features Segre's unpublished notebook: Sulla Geometria Sugli Enti Algebrici Semplicemente Infiniti (1890-1891). This volume will appeal to scholars in the History of Mathematics, as well as to researchers in the current subfields of Algebraic Geometry.
Download or read book Curve e superfici written by Ada Varisco and published by . This book was released on 1996 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Transformazioni delle superficie e delle curve by : Luigi Bianchi
Download or read book Transformazioni delle superficie e delle curve written by Luigi Bianchi and published by . This book was released on 1957 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Zodiac written by and published by . This book was released on 1973 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Nozioni sommarie di geometria sulle curve e superfici algebriche by : Gino Fano
Download or read book Nozioni sommarie di geometria sulle curve e superfici algebriche written by Gino Fano and published by . This book was released on 1950 with total page 39 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Analysis I by : Claudio Canuto
Download or read book Mathematical Analysis I written by Claudio Canuto and published by Springer. This book was released on 2015-04-08 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of the volume is to provide a support for a first course in Mathematics. The contents are organised to appeal especially to Engineering, Physics and Computer Science students, all areas in which mathematical tools play a crucial role. Basic notions and methods of differential and integral calculus for functions of one real variable are presented in a manner that elicits critical reading and prompts a hands-on approach to concrete applications. The layout has a specifically-designed modular nature, allowing the instructor to make flexible didactical choices when planning an introductory lecture course. The book may in fact be employed at three levels of depth. At the elementary level the student is supposed to grasp the very essential ideas and familiarise with the corresponding key techniques. Proofs to the main results befit the intermediate level, together with several remarks and complementary notes enhancing the treatise. The last, and farthest-reaching, level requires the additional study of the material contained in the appendices, which enable the strongly motivated reader to explore further into the subject. Definitions and properties are furnished with substantial examples to stimulate the learning process. Over 350 solved exercises complete the text, at least half of which guide the reader to the solution. This new edition features additional material with the aim of matching the widest range of educational choices for a first course of Mathematics.