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| Author | : Simone Malacrida |
| Publisher | : BookRix |
| Total Pages | : 75 |
| Release | : 2023-04-18 |
| Genre | : Mathematics |
| ISBN | : 3755439395 |
The theoretical assumptions of the following mathematical topics are presented in this book: plane geometry (elementary concepts and figures) solid geometry note to non-Euclidean geometries. In addition, the main applications of these topics are mentioned and some exercises are carried out.
| Author | : John Stillwell |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 240 |
| Release | : 2005-08-09 |
| Genre | : Mathematics |
| ISBN | : 0387255303 |
This book is unique in that it looks at geometry from 4 different viewpoints - Euclid-style axioms, linear algebra, projective geometry, and groups and their invariants Approach makes the subject accessible to readers of all mathematical tastes, from the visual to the algebraic Abundantly supplemented with figures and exercises
| Author | : Richard Rusczyk |
| Publisher | : Aops Incorporated |
| Total Pages | : 557 |
| Release | : 2007-07-01 |
| Genre | : Juvenile Nonfiction |
| ISBN | : 9781934124086 |
| Author | : Andreĭ Petrovich Kiselev |
| Publisher | : |
| Total 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.
| Author | : Michael P. Hitchman |
| Publisher | : Jones & Bartlett Learning |
| Total Pages | : 255 |
| Release | : 2009 |
| Genre | : Mathematics |
| ISBN | : 0763754579 |
The content of Geometry with an Introduction to Cosmic Topology is motivated by questions that have ignited the imagination of stargazers since antiquity. What is the shape of the universe? Does the universe have and edge? Is it infinitely big? Dr. Hitchman aims to clarify this fascinating area of mathematics. This non-Euclidean geometry text is organized intothree natural parts. Chapter 1 provides an overview including a brief history of Geometry, Surfaces, and reasons to study Non-Euclidean Geometry. Chapters 2-7 contain the core mathematical content of the text, following the ErlangenProgram, which develops geometry in terms of a space and a group of transformations on that space. Finally chapters 1 and 8 introduce (chapter 1) and explore (chapter 8) the topic of cosmic topology through the geometry learned in the preceding chapters.
| Author | : Leonor Godinho |
| Publisher | : Springer |
| Total Pages | : 476 |
| Release | : 2014-07-26 |
| Genre | : Mathematics |
| ISBN | : 3319086669 |
Unlike many other texts on differential geometry, this textbook also offers interesting applications to geometric mechanics and general relativity. The first part is a concise and self-contained introduction to the basics of manifolds, differential forms, metrics and curvature. The second part studies applications to mechanics and relativity including the proofs of the Hawking and Penrose singularity theorems. It can be independently used for one-semester courses in either of these subjects. The main ideas are illustrated and further developed by numerous examples and over 300 exercises. Detailed solutions are provided for many of these exercises, making An Introduction to Riemannian Geometry ideal for self-study.
| Author | : A. C. Burdette |
| Publisher | : Academic Press |
| Total Pages | : 425 |
| Release | : 2014-05-10 |
| Genre | : Mathematics |
| ISBN | : 1483265226 |
An Introduction to Analytic Geometry and Calculus covers the basic concepts of analytic geometry and the elementary operations of calculus. This book is composed of 14 chapters and begins with an overview of the fundamental relations of the coordinate system. The next chapters deal with the fundamentals of straight line, nonlinear equations and graphs, functions and limits, and derivatives. These topics are followed by a discussion of some applications of previously covered mathematical subjects. This text also considers the fundamentals of the integrals, trigonometric functions, exponential and logarithm functions, and methods of integration. The final chapters look into the concepts of parametric equations, polar coordinates, and infinite series. This book will prove useful to mathematicians and undergraduate and graduate mathematics students.
