Free Download Geometry: A High School Course, Second Edition by Serge Lang , Gene Murrow
English | PDF | 1988 | 405 Pages | ISBN : 0387966544 | 20.1 MB
From the reviews: "A prominent research mathematician and a high school teacher have combined their efforts in order to produce a high school geometry course. The result is a challenging, vividly written volume which offers a broader treatment than the traditional Euclidean one, but which preserves its pedagogical virtues. The material included has been judiciously selected: some traditional items have been omitted, while emphasis has been laid on topics which relate the geometry course to the mathematics that precedes and follows. The exposition is clear and precise, while avoiding pedantry.

Free Download G-Functions and Geometry: A Publication of the Max-Planck-Institut für Mathematik, Bonn by Yves André
Deutsch | PDF | 1989 | 245 Pages | ISBN : 3528063173 | 14.23 MB
This is an introduction to some geometrie aspects of G-function theory. Most of the results presented here appear in print for the flrst time; hence this text is something intermediate between a standard monograph and a research artic1e; it is not a complete survey of the topic. Except for geometrie chapters (I.3.3, II, IX, X), I have tried to keep it reasonably self contained; for instance, the second part may be used as an introduction to p-adic analysis, starting from a few basic facts wh ich are recalled in IV.l.l.

Free Download Fractal Geometry and Number Theory: Complex Dimensions of Fractal Strings and Zeros of Zeta Functions by Michel L. Lapidus , Machiel Frankenhuysen
English | PDF | 2000 | 277 Pages | ISBN : 0817640983 | 21.76 MB
A fractal drum is a bounded open subset of R. m with a fractal boundary. A difficult problem is to describe the relationship between the shape (geo metry) of the drum and its sound (its spectrum). In this book, we restrict ourselves to the one-dimensional case of fractal strings, and their higher dimensional analogues, fractal sprays. We develop a theory of complex di mensions of a fractal string, and we study how these complex dimensions relate the geometry with the spectrum of the fractal string.

Free Download Differential Geometry of Spray and Finsler Spaces by Zhongmin Shen
English | PDF | 2001 | 260 Pages | ISBN : 0792368681 | 16.2MB
In this book we study sprays and Finsler metrics. Roughly speaking, a spray on a manifold consists of compatible systems of second-order ordinary differential equations. A Finsler metric on a manifold is a family of norms in tangent spaces, which vary smoothly with the base point. Every Finsler metric determines a spray by its systems of geodesic equations. Thus, Finsler spaces can be viewed as special spray spaces. On the other hand, every Finsler metric defines a distance function by the length of minimial curves. Thus Finsler spaces can be viewed as regular metric spaces. Riemannian spaces are special regular metric spaces. In 1854, B. Riemann introduced the Riemann curvature for Riemannian spaces in his ground-breaking Habilitationsvortrag.

Free Download Differential Geometry and Complex Analysis: A Volume Dedicated to the Memory of Harry Ernest Rauch by Isaac Chavel, Hershel M. Farkas
English | PDF | 1985 | 228 Pages | ISBN : 3642698301 | 12.7 MB
This volume is dedicated to the memory of Harry Ernest Rauch, who died suddenly on June 18, 1979. In organizing the volume we solicited: (i) articles summarizing Rauch's own work in differential geometry, complex analysis and theta functions (ii) articles which would give the reader an idea of the depth and breadth of Rauch's researches, interests, and influence, in the fields he investigated, and (iii) articles of high scientific quality which would be of general interest. In each of the areas to which Rauch made significant contribution - pinching theorems, teichmiiller theory, and theta functions as they apply to Riemann surfaces - there has been substantial progress.

Free Download Conjectures in Arithmetic Algebraic Geometry: A Survey by Wilfred W. J. Hulsbergen
English | PDF | 1992 | 246 Pages | ISBN : 3528064331 | 11.1 MB
In this expository paper we sketch some interrelations between several famous conjectures in number theory and algebraic geometry that have intrigued mathematicians for a long period of time. Starting from Fermat's Last Theorem one is naturally led to intro- duce L-functions, the main motivation being the calculation of class numbers. In particular, Kummer showed that the class numbers of cyclotomic fields playa decisive role in the corroboration of Fermat's Last Theorem for a large class of exponents. Before Kummer, Dirich- let had already successfully applied his L-functions to the proof of the theorem on arithmetic progressions.

Free Download Computational Geometry on Surfaces: Performing Computational Geometry on the Cylinder, the Sphere, the Torus, and the Cone by Clara I. Grima , Alberto Márquez
English | PDF | 2001 | 197 Pages | ISBN : 1402002025 | 14.7 MB
In the last thirty years Computational Geometry has emerged as a new discipline from the field of design and analysis of algorithms. That dis cipline studies geometric problems from a computational point of view, and it has attracted enormous research interest. But that interest is mostly concerned with Euclidean Geometry (mainly the plane or Eu clidean 3-dimensional space). Of course, there are some important rea sons for this occurrence since the first applieations and the bases of all developments are in the plane or in 3-dimensional space. But, we can find also some exceptions, and so Voronoi diagrams on the sphere, cylin der, the cone, and the torus have been considered previously, and there are manY works on triangulations on the sphere and other surfaces.

Free Download Algebra and Geometry by R. V. Gamkrelidze
English | PDF | 1972 | 259 Pages | ISBN : 1475705093 | 23.2 MB
This volume contains five review articles, three in the Al gebra part and two in the Geometry part, surveying the fields of ring theory, modules, and lattice theory in the former, and those of integral geometry and differential-geometric methods in the calculus of variations in the latter. The literature covered is primarily that published in 1965-1968.

Free Download Gap Geometry -Vol 1
Published 3/2023
MP4 | Video: h264, 1280x720 | Audio: AAC, 44.1 KHz
Language: English | Size: 1.23 GB | Duration: 3h 53m
Holistic approach to Gap Trading Masterclass ( Swing & Intraday )

Free Download [various contributors], "Open Problems in Arithmetic Algebraic Geometry "
English | ISBN: 1571463739 | 2019 | 344 pages | PDF | 57 MB
This book originated in the idea that open problems act as crystallization points in mathematical research. Mathematical books usually deal with fully developed theories. But here we present work at an earlier stage-when challenging questions can give new directions to mathematical research.