Higher Geometry PDF Download
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Author | : Frederick S. Woods |
Publisher | : Courier Corporation |
Total Pages | : 442 |
Release | : 2013-10-29 |
Genre | : Mathematics |
ISBN | : 0486159566 |
Download Higher Geometry Book in PDF, ePub and Kindle
For students of mathematics with a sound background in analytic geometry and some knowledge of determinants, this volume has long been among the best available expositions of advanced work on projective and algebraic geometry. Developed from Professor Woods' lectures at the Massachusetts Institute of Technology, it bridges the gap between intermediate studies in the field and highly specialized works. With exceptional thoroughness, it presents the most important general concepts and methods of advanced algebraic geometry (as distinguished from differential geometry). It offers a thorough study of one-, two-, three-, and four-dimensional coordinated systems, the concepts they entail, and their associated geometrical elements. This study culminates with a discussion of n-dimensional geometry in an abstract sense, of which the earlier subjects form concrete illustrations. As each system of coordinates is introduced, the meaning of the linear and quadratic equations is studied, with principal emphasis on the interpretation of equations as well as on a knowledge of useful geometrical facts. The principle of duality is kept at the forefront, and the nature of imaginary elements and the conventional character of the locus of infinity, dependent upon the type of coordinates used, are carefully explained.
Author | : Thomas Peternell |
Publisher | : Birkhäuser |
Total Pages | : 221 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3034888937 |
Download Geometry of Higher Dimensional Algebraic Varieties Book in PDF, ePub and Kindle
This book is based on lecture notes of a seminar of the Deutsche Mathematiker Vereinigung held by the authors at Oberwolfach from April 2 to 8, 1995. It gives an introduction to the classification theory and geometry of higher dimensional complex-algebraic varieties, focusing on the tremendeous developments of the sub ject in the last 20 years. The work is in two parts, with each one preceeded by an introduction describing its contents in detail. Here, it will suffice to simply ex plain how the subject matter has been divided. Cum grano salis one might say that Part 1 (Miyaoka) is more concerned with the algebraic methods and Part 2 (Peternell) with the more analytic aspects though they have unavoidable overlaps because there is no clearcut distinction between the two methods. Specifically, Part 1 treats the deformation theory, existence and geometry of rational curves via characteristic p, while Part 2 is principally concerned with vanishing theorems and their geometric applications. Part I Geometry of Rational Curves on Varieties Yoichi Miyaoka RIMS Kyoto University 606-01 Kyoto Japan Introduction: Why Rational Curves? This note is based on a series of lectures given at the Mathematisches Forschungsin stitut at Oberwolfach, Germany, as a part of the DMV seminar "Mori Theory". The construction of minimal models was discussed by T.
Author | : Olivier Debarre |
Publisher | : Springer Science & Business Media |
Total Pages | : 245 |
Release | : 2013-03-09 |
Genre | : Mathematics |
ISBN | : 147575406X |
Download Higher-Dimensional Algebraic Geometry Book in PDF, ePub and Kindle
The classification theory of algebraic varieties is the focus of this book. This very active area of research is still developing, but an amazing quantity of knowledge has accumulated over the past twenty years. The authors goal is to provide an easily accessible introduction to the subject. The book starts with preparatory and standard definitions and results, then moves on to discuss various aspects of the geometry of smooth projective varieties with many rational curves, and finishes in taking the first steps towards Moris minimal model program of classification of algebraic varieties by proving the cone and contraction theorems. The book is well-organized and the author has kept the number of concepts that are used but not proved to a minimum to provide a mostly self-contained introduction.
Author | : Marcel Berger |
Publisher | : Springer Science & Business Media |
Total Pages | : 840 |
Release | : 2010-07-23 |
Genre | : Mathematics |
ISBN | : 3540709975 |
Download Geometry Revealed Book in PDF, ePub and Kindle
Both classical geometry and modern differential geometry have been active subjects of research throughout the 20th century and lie at the heart of many recent advances in mathematics and physics. The underlying motivating concept for the present book is that it offers readers the elements of a modern geometric culture by means of a whole series of visually appealing unsolved (or recently solved) problems that require the creation of concepts and tools of varying abstraction. Starting with such natural, classical objects as lines, planes, circles, spheres, polygons, polyhedra, curves, surfaces, convex sets, etc., crucial ideas and above all abstract concepts needed for attaining the results are elucidated. These are conceptual notions, each built "above" the preceding and permitting an increase in abstraction, represented metaphorically by Jacob's ladder with its rungs: the 'ladder' in the Old Testament, that angels ascended and descended... In all this, the aim of the book is to demonstrate to readers the unceasingly renewed spirit of geometry and that even so-called "elementary" geometry is very much alive and at the very heart of the work of numerous contemporary mathematicians. It is also shown that there are innumerable paths yet to be explored and concepts to be created. The book is visually rich and inviting, so that readers may open it at random places and find much pleasure throughout according their own intuitions and inclinations. Marcel Berger is t he author of numerous successful books on geometry, this book once again is addressed to all students and teachers of mathematics with an affinity for geometry.
Author | : Nikolaĭ Vladimirovich Efimov |
Publisher | : |
Total Pages | : 566 |
Release | : 1980 |
Genre | : Mathematics |
ISBN | : |
Download Higher Geometry Book in PDF, ePub and Kindle
Author | : Nathan Scholfield |
Publisher | : |
Total Pages | : 506 |
Release | : 1845 |
Genre | : Geometry |
ISBN | : |
Download Higher Geometry and Trigonometry Book in PDF, ePub and Kindle
Author | : Zhizhin, Gennadiy Vladimirovich |
Publisher | : IGI Global |
Total Pages | : 286 |
Release | : 2018-08-03 |
Genre | : Technology & Engineering |
ISBN | : 1522569693 |
Download The Geometry of Higher-Dimensional Polytopes Book in PDF, ePub and Kindle
The majority of the chemical elements form chemical compounds with molecules of higher dimension (i.e., substantially exceeding three). This fact is very important for the analysis of molecular interactions in various areas: nanomedicine, nanotoxicology, and quantum biology. The Geometry of Higher-Dimensional Polytopes contains innovative research on the methods and applications of the structures of binary compounds. It explores the study of geometry polytopes from a higher-dimensional perspective, taking into account the features of polytopes that are models of chemical compounds. While highlighting topics including chemical compounds, symmetry transformation, and DNA structures, this book is ideally designed for researchers, academicians, and students seeking current research on dimensions present in binary compounds.
Author | : Sharelle Byars Moranville |
Publisher | : Henry Holt and Company (BYR) |
Total Pages | : 221 |
Release | : 2016-03-22 |
Genre | : Young Adult Fiction |
ISBN | : 1250116368 |
Download A Higher Geometry Book in PDF, ePub and Kindle
Anna loves math, and her boyfriend, Mike. Will she have to choose between them? Anna Conway sometimes wishes her relationships would come as easy to her as math does. A natural math talent, Anna is at odds with what's expected of her as a teenager in the 1950s. While Anna aspires to leave her small town for college to study mathematics, her parents want her to follow the more traditional path of getting married and starting a family. Anna's never really thought of dating before, but when she meets Mike, their relationship takes off and goes further than she'd ever expected. Now it's up to Anna to make her future happen. But how will she choose? In beautiful prose, Sharelle Byars Moranville explores the importance of believing in dreams in order to make a difference. A Higher Geometry is a 2007 Bank Street - Best Children's Book of the Year.
Author | : Frederick Shenstone Woods |
Publisher | : |
Total Pages | : 446 |
Release | : 1922 |
Genre | : Geometry, Analytic |
ISBN | : |
Download Higher Geometry Book in PDF, ePub and Kindle
Author | : Rudy Rucker |
Publisher | : Courier Corporation |
Total Pages | : 243 |
Release | : 2014-09-17 |
Genre | : Science |
ISBN | : 0486779785 |
Download The Fourth Dimension: Toward a Geometry of Higher Reality Book in PDF, ePub and Kindle
One of the most talented contemporary authors of cutting-edge math and science books conducts a fascinating tour of a higher reality, the Fourth Dimension. Includes problems, puzzles, and 200 drawings. "Informative and mind-dazzling." — Martin Gardner.