New Trends in Intuitive Geometry
Title | New Trends in Intuitive Geometry PDF eBook |
Author | Gergely Ambrus |
Publisher | Springer |
Pages | 458 |
Release | 2018-11-03 |
Genre | Mathematics |
ISBN | 3662574136 |
This volume contains 17 surveys that cover many recent developments in Discrete Geometry and related fields. Besides presenting the state-of-the-art of classical research subjects like packing and covering, it also offers an introduction to new topological, algebraic and computational methods in this very active research field. The readers will find a variety of modern topics and many fascinating open problems that may serve as starting points for research.
Intuitive Geometry
Title | Intuitive Geometry PDF eBook |
Author | Imre Bárány |
Publisher | |
Pages | 456 |
Release | 1997 |
Genre | Geometry |
ISBN |
Treks Into Intuitive Geometry
Title | Treks Into Intuitive Geometry PDF eBook |
Author | J. Akiyama |
Publisher | Springer Nature |
Pages | 642 |
Release | 2024 |
Genre | Geometry |
ISBN | 9819986087 |
This book is written in a style that uncovers the mathematical theories hidden in our daily lives, using examples of patterns that appear in nature, arts, traditional crafts, as well as mathematical mechanics in architectural techniques. The authors believe that through conversations between students and mathematicians, readers may learn about the methods used by the originators of these theoriestheir trials, errors, and triumphsin reaching their various conclusions. The goal is to help readers refine their mathematical sense in terms of formulating valuable questions and pursuing them. In addition, the book aims to provide enjoyment in the application of mathematical principles to beautiful art and design by using examples that highlight the wonders and mysteries of these works found in our daily lives. To achieve these goals, the book tackles the latest exquisite results on polygons and polyhedra and the dynamic history of geometric research found around us. The term "intuitive geometry" was coined by Lszlo Fejes Tth and refers to the kind of geometry which, in Hilbert's words, can be explained to and appeal to the "man on the street." This book enables readers to enjoy intuitive geometry informally and instinctively. It does not require more than a high school level of knowledge but calls for a sense of wonder, intuition, and mathematical maturity. In this second edition, many new results, and elegant proofs on a variety of topics have been added, enhancing the books rich content even further.
New Trends in Geometry
Title | New Trends in Geometry PDF eBook |
Author | Luciano Boi |
Publisher | World Scientific |
Pages | 329 |
Release | 2011 |
Genre | Mathematics |
ISBN | 1848166435 |
This volume focuses on the interactions between mathematics, physics, biology and neuroscience by exploring new geometrical and topological modelling in these fields. Among the highlights are the central roles played by multilevel and scale-change approaches in these disciplines. The integration of mathematics with physics, as well as molecular and cell biology and the neurosciences, will constitute the new frontier of 21st century science, where breakthroughs are more likely to span across traditional disciplines.
Intuitive Geometry
Title | Intuitive Geometry PDF eBook |
Author | K. Böröczky |
Publisher | |
Pages | 708 |
Release | 1987 |
Genre | |
ISBN |
New Trends in Discrete and Computational Geometry
Title | New Trends in Discrete and Computational Geometry PDF eBook |
Author | Janos Pach |
Publisher | Springer Science & Business Media |
Pages | 342 |
Release | 2012-12-06 |
Genre | Mathematics |
ISBN | 3642580432 |
Discrete and computational geometry are two fields which in recent years have benefitted from the interaction between mathematics and computer science. The results are applicable in areas such as motion planning, robotics, scene analysis, and computer aided design. The book consists of twelve chapters summarizing the most recent results and methods in discrete and computational geometry. All authors are well-known experts in these fields. They give concise and self-contained surveys of the most efficient combinatorical, probabilistic and topological methods that can be used to design effective geometric algorithms for the applications mentioned above. Most of the methods and results discussed in the book have not appeared in any previously published monograph. In particular, this book contains the first systematic treatment of epsilon-nets, geometric tranversal theory, partitions of Euclidean spaces and a general method for the analysis of randomized geometric algorithms. Apart from mathematicians working in discrete and computational geometry this book will also be of great use to computer scientists and engineers, who would like to learn about the most recent results.
Intuitive geometry
Title | Intuitive geometry PDF eBook |
Author | Grace Ray West |
Publisher | |
Pages | 320 |
Release | 1925 |
Genre | Geometry |
ISBN |