Kiselev's Geometry
Title | Kiselev's Geometry PDF eBook |
Author | Andreĭ Petrovich Kiselev |
Publisher | |
Pages | 192 |
Release | 2008 |
Genre | Mathematics |
ISBN |
This volume completes the English adaptation of a classical Russian textbook in elementary Euclidean geometry. The 1st volume subtitled "Book I. Planimetry" was published in 2006 (ISBN 0977985202). This 2nd volume (Book II. Stereometry) covers solid geometry, and contains a chapter on vectors, foundations, and introduction in non-Euclidean geometry added by the translator. The book intended for high-school and college students, and their teachers. Includes 317 exercises, index, and bibliography.
A New Look at Geometry
Title | A New Look at Geometry PDF eBook |
Author | Irving Adler |
Publisher | Courier Corporation |
Pages | 420 |
Release | 2013-10-03 |
Genre | Mathematics |
ISBN | 0486320499 |
Richly detailed survey of the evolution of geometrical ideas and development of concepts of modern geometry: projective, Euclidean, and non-Euclidean geometry; role of geometry in Newtonian physics, calculus, relativity. Over 100 exercises with answers. 1966 edition.
Geometry I
Title | Geometry I PDF eBook |
Author | Marcel Berger |
Publisher | Springer Science & Business Media |
Pages | 441 |
Release | 2009-01-21 |
Genre | Mathematics |
ISBN | 3540116583 |
Volume I of this 2-volume textbook provides a lively and readable presentation of large parts of classical geometry. For each topic the author presents an esthetically pleasing and easily stated theorem - although the proof may be difficult and concealed. The mathematical text is illustrated with figures, open problems and references to modern literature, providing a unified reference to geometry in the full breadth of its subfields and ramifications.
Lectures on Algebraic Geometry I
Title | Lectures on Algebraic Geometry I PDF eBook |
Author | Günter Harder |
Publisher | Springer Science & Business Media |
Pages | 311 |
Release | 2011-09-15 |
Genre | Mathematics |
ISBN | 3834883301 |
This book and the following second volume is an introduction into modern algebraic geometry. In the first volume the methods of homological algebra, theory of sheaves, and sheaf cohomology are developed. These methods are indispensable for modern algebraic geometry, but they are also fundamental for other branches of mathematics and of great interest in their own. In the last chapter of volume I these concepts are applied to the theory of compact Riemann surfaces. In this chapter the author makes clear how influential the ideas of Abel, Riemann and Jacobi were and that many of the modern methods have been anticipated by them. For this second edition the text was completely revised and corrected. The author also added a short section on moduli of elliptic curves with N-level structures. This new paragraph anticipates some of the techniques of volume II.
Into Geometry
Title | Into Geometry PDF eBook |
Author | Edward B. Burger |
Publisher | |
Pages | 752 |
Release | 2020 |
Genre | Algebra |
ISBN | 9780358119395 |
A Course in Metric Geometry
Title | A Course in Metric Geometry PDF eBook |
Author | Dmitri Burago |
Publisher | American Mathematical Society |
Pages | 415 |
Release | 2022-01-27 |
Genre | Mathematics |
ISBN | 1470468530 |
“Metric geometry” is an approach to geometry based on the notion of length on a topological space. This approach experienced a very fast development in the last few decades and penetrated into many other mathematical disciplines, such as group theory, dynamical systems, and partial differential equations. The objective of this graduate textbook is twofold: to give a detailed exposition of basic notions and techniques used in the theory of length spaces, and, more generally, to offer an elementary introduction into a broad variety of geometrical topics related to the notion of distance, including Riemannian and Carnot-Carathéodory metrics, the hyperbolic plane, distance-volume inequalities, asymptotic geometry (large scale, coarse), Gromov hyperbolic spaces, convergence of metric spaces, and Alexandrov spaces (non-positively and non-negatively curved spaces). The authors tend to work with “easy-to-touch” mathematical objects using “easy-to-visualize” methods. The authors set a challenging goal of making the core parts of the book accessible to first-year graduate students. Most new concepts and methods are introduced and illustrated using simplest cases and avoiding technicalities. The book contains many exercises, which form a vital part of the exposition.
Geometry I
Title | Geometry I PDF eBook |
Author | R.V. Gamkrelidze |
Publisher | Springer |
Pages | 266 |
Release | 1991-11-07 |
Genre | Mathematics |
ISBN | 9783540519997 |
This book provides a tour of the principal areas and methods of modern differential geometry. Beginning at the introductory level with curves in Euclidian space, the sections become more challenging, arriving finally at the advanced topics that form the greatest part of the book: transformation groups, the geometry of differential equations, geometric structures, the equivalence problem, the geometry of elliptic operators.