New Trends in Intuitive Geometry

New Trends in Intuitive Geometry PDF Author: Gergely Ambrus
Publisher: Springer
ISBN: 3662574136
Category : Mathematics
Languages : en
Pages : 458

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Book Description
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.

New Trends in Intuitive Geometry

New Trends in Intuitive Geometry PDF Author: Gergely Ambrus
Publisher: Springer
ISBN: 3662574136
Category : Mathematics
Languages : en
Pages : 458

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Book Description
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

Intuitive Geometry PDF Author: Imre Bárány
Publisher:
ISBN:
Category : Geometry
Languages : en
Pages : 456

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Book Description


Intuitive Geometry

Intuitive Geometry PDF Author: K. Böröczky
Publisher:
ISBN:
Category :
Languages : en
Pages : 708

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Book Description


Treks into Intuitive Geometry

Treks into Intuitive Geometry PDF Author: Jin Akiyama
Publisher: Springer
ISBN: 9789819986071
Category : Mathematics
Languages : en
Pages : 0

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Book Description
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 theories―their trials, errors, and triumphs―in 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 Lászlo Fejes Tóth 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 book’s rich content even further.

New Trends in Geometry

New Trends in Geometry PDF Author: Claudio Bartocci
Publisher: World Scientific
ISBN: 1848166427
Category : Mathematics
Languages : en
Pages : 329

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Book Description
This volume focuses on the interactions between mathematics, physics, biology and neuroscience by exploring new geometrical and topological modeling 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, molecular and cell biology, and the neurosciences, will constitute the new frontier and challenge for 21st century science, where breakthroughs are more likely to span across traditional disciplines.

New Trends in Discrete and Computational Geometry

New Trends in Discrete and Computational Geometry PDF Author: Janos Pach
Publisher: Springer Science & Business Media
ISBN: 3642580432
Category : Mathematics
Languages : en
Pages : 342

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Book Description
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.

Geometry - Intuitive, Discrete, and Convex

Geometry - Intuitive, Discrete, and Convex PDF Author: Imre Bárány
Publisher: Springer
ISBN: 3642414982
Category : Mathematics
Languages : en
Pages : 367

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Book Description
The present volume is a collection of a dozen survey articles, dedicated to the memory of the famous Hungarian geometer, László Fejes Tóth, on the 99th anniversary of his birth. Each article reviews recent progress in an important field in intuitive, discrete, and convex geometry. The mathematical work and perspectives of all editors and most contributors of this volume were deeply influenced by László Fejes Tóth.

Intuitive Geometry

Intuitive Geometry PDF Author: School Mathematics Study Group
Publisher:
ISBN:
Category : Geometry
Languages : en
Pages : 227

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Book Description


Geometry - Intuitive, Discrete, and Convex

Geometry - Intuitive, Discrete, and Convex PDF Author: Imre Bárány
Publisher: Springer
ISBN: 9783642414978
Category : Mathematics
Languages : en
Pages : 0

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Book Description
The present volume is a collection of a dozen survey articles, dedicated to the memory of the famous Hungarian geometer, László Fejes Tóth, on the 99th anniversary of his birth. Each article reviews recent progress in an important field in intuitive, discrete, and convex geometry. The mathematical work and perspectives of all editors and most contributors of this volume were deeply influenced by László Fejes Tóth.

Integrability, Quantization, and Geometry: II. Quantum Theories and Algebraic Geometry

Integrability, Quantization, and Geometry: II. Quantum Theories and Algebraic Geometry PDF Author: Sergey Novikov
Publisher: American Mathematical Soc.
ISBN: 1470455927
Category : Education
Languages : en
Pages : 480

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Book Description
This book is a collection of articles written in memory of Boris Dubrovin (1950–2019). The authors express their admiration for his remarkable personality and for the contributions he made to mathematical physics. For many of the authors, Dubrovin was a friend, colleague, inspiring mentor, and teacher. The contributions to this collection of papers are split into two parts: “Integrable Systems” and “Quantum Theories and Algebraic Geometry”, reflecting the areas of main scientific interests of Dubrovin. Chronologically, these interests may be divided into several parts: integrable systems, integrable systems of hydrodynamic type, WDVV equations (Frobenius manifolds), isomonodromy equations (flat connections), and quantum cohomology. The articles included in the first part are more or less directly devoted to these areas (primarily with the first three listed above). The second part contains articles on quantum theories and algebraic geometry and is less directly connected with Dubrovin's early interests.