Download or read book Algebraic Curves written by William Fulton and published by . This book was released on 2008 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of these notes is to develop the theory of algebraic curves from the viewpoint of modern algebraic geometry, but without excessive prerequisites. We have assumed that the reader is familiar with some basic properties of rings, ideals and polynomials, such as is often covered in a one-semester course in modern algebra; additional commutative algebra is developed in later sections.

Download or read book Ohio State University written by Ohio State University and published by . This book was released on 1917 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Geometry of Algebraic Curves written by Enrico Arbarello and published by Springer. This book was released on 2013-08-30 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years there has been enormous activity in the theory of algebraic curves. Many long-standing problems have been solved using the general techniques developed in algebraic geometry during the 1950's and 1960's. Additionally, unexpected and deep connections between algebraic curves and differential equations have been uncovered, and these in turn shed light on other classical problems in curve theory. It seems fair to say that the theory of algebraic curves looks completely different now from how it appeared 15 years ago; in particular, our current state of knowledge repre sents a significant advance beyond the legacy left by the classical geometers such as Noether, Castelnuovo, Enriques, and Severi. These books give a presentation of one of the central areas of this recent activity; namely, the study of linear series on both a fixed curve (Volume I) and on a variable curve (Volume II). Our goal is to give a comprehensive and self-contained account of the extrinsic geometry of algebraic curves, which in our opinion constitutes the main geometric core of the recent advances in curve theory. Along the way we shall, of course, discuss appli cations of the theory of linear series to a number of classical topics (e.g., the geometry of the Riemann theta divisor) as well as to some of the current research (e.g., the Kodaira dimension of the moduli space of curves).

Download or read book Geometric Methods and Applications written by Jean Gallier and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: As an introduction to fundamental geometric concepts and tools needed for solving problems of a geometric nature using a computer, this book fills the gap between standard geometry books, which are primarily theoretical, and applied books on computer graphics, computer vision, or robotics that do not cover the underlying geometric concepts in detail. Gallier offers an introduction to affine, projective, computational, and Euclidean geometry, basics of differential geometry and Lie groups, and explores many of the practical applications of geometry. Some of these include computer vision, efficient communication, error correcting codes, cryptography, motion interpolation, and robot kinematics. This comprehensive text covers most of the geometric background needed for conducting research in computer graphics, geometric modeling, computer vision, and robotics and as such will be of interest to a wide audience including computer scientists, mathematicians, and engineers.

Download or read book Topics in Geometry written by Robert Bix and published by Elsevier. This book was released on 2014-06-28 with total page 549 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents an accessible, self-contained survey of topics in Euclidean and non-Euclidean geometry. It includes plentiful illustrations and exercises in support of the thoroughly worked-out proofs. The author's emphasis on the connections between Euclidean and non-Euclidean geometry unifies the range of topics covered.The text opens with a brief review of elementary geometry before proceeding to advanced material. Topics covered include advanced Euclidean and non-Euclidean geometry, division ratios and triangles, transformation geometry, projective geometry, conic sections, and hyperbolic and absolute geometry. Topics in Geometry includes over 800 illustrations and extensive exercises of varying difficulty.

Download or read book Year book written by University of Southern California and published by . This book was released on 1922 with total page 1916 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Algebraic Geometry written by Dr. B. Phalaksha Murthy and published by RK Publication. This book was released on 2024-09-20 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic Geometry is a profound exploration of the intersection between algebra and geometry, delving into the study of geometric structures defined by polynomial equations. This book covers foundational topics such as varieties, schemes, and morphisms, bridging abstract algebraic theories with tangible geometric interpretations. Through rigorous proofs and illustrative examples, it guides readers from basic concepts to advanced topics, including cohomology, intersection theory, and moduli spaces. Ideal for mathematicians and students, Algebraic Geometry serves both as a comprehensive introduction and as a reference for deeper mathematical inquiries in geometry.

Download or read book On the Forms of Plane Quintic Curves written by Linnaeus Wayland Dowling and published by . This book was released on 1897 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Algebraic Geometry and its Applications written by Chandrajit L. Bajaj and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic Geometry and its Applications will be of interest not only to mathematicians but also to computer scientists working on visualization and related topics. The book is based on 32 invited papers presented at a conference in honor of Shreeram Abhyankar's 60th birthday, which was held in June 1990 at Purdue University and attended by many renowned mathematicians (field medalists), computer scientists and engineers. The keynote paper is by G. Birkhoff; other contributors include such leading names in algebraic geometry as R. Hartshorne, J. Heintz, J.I. Igusa, D. Lazard, D. Mumford, and J.-P. Serre.

Download or read book Moduli Spaces of Polynomials in Two Variables written by Javier Fernández de Bobadilla and published by American Mathematical Soc.. This book was released on 2005 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: Investigates the geometry of the orbit space. This book associates a graph with each polynomial in two variables that encodes part of its geometric properties at infinity. It also defines a partition of $\mathbb{C} x, y]$ imposing that the polynomials in the same stratum are the polynomials with a fixed associated graph

Download or read book DOD Pam written by United States. Office of Armed Forces Information and Education and published by . This book was released on with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Circular of Information written by University of Southern California and published by . This book was released on 1925 with total page 716 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Selected Topics in Algebraic Geometry written by National Research Council (U.S.). Committee on Rational Transformations and published by American Mathematical Soc.. This book was released on 1970 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book resulted from two reports (published in 1928 and 1932) of the Committee on Rational Transformations, established by the National Research Council. The purpose of the reports was to give a comprehensive survey of the literature on the subject. Each chapter is regarded as a separate unit that can be read independently.

Download or read book Circular of Information written by University of Chicago and published by . This book was released on 1918 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book United States Armed Forces Institute Catalog written by United States Armed Forces Institute and published by . This book was released on 1963 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Infinity written by Michael Heller and published by Cambridge University Press. This book was released on 2011-02-07 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: This interdisciplinary study of infinity explores the concept through the prism of mathematics and then offers more expansive investigations in areas beyond mathematical boundaries to reflect the broader, deeper implications of infinity for human intellectual thought. More than a dozen world-renowned researchers in the fields of mathematics, physics, cosmology, philosophy and theology offer a rich intellectual exchange among various current viewpoints, rather than displaying a static picture of accepted views on infinity. The book starts with a historical examination of the transformation of infinity from a philosophical and theological study to one dominated by mathematics. It then offers technical discussions on the understanding of mathematical infinity. Following this, the book considers the perspectives of physics and cosmology: can infinity be found in the real universe? Finally, the book returns to questions of philosophical and theological aspects of infinity.

Download or read book Encyclopaedia of Mathematics written by M. Hazewinkel and published by Springer. This book was released on 2013-11-11 with total page 952 pages. Available in PDF, EPUB and Kindle. Book excerpt: