Hans-Georg Glaeßer Libri

Geometry and its Applications is meant to address those who are interested in geometrical relationships, from simple plane geometry problems to difficult tasks in spatial geometry. The main emphasis is on the application of geometry in different fields such as engineering, biology, art history and music. Important geometrical terms and concepts such as multi-view projection and 3D projection, the curvature of lines and surfaces, the geometry of movement and non-Euclidian space are explained with many examples and numerous photos. Two practical tutorials round off this volume: free-hand geometrical drawing and the geometry of photography. Easy to understand tips support readers as they create their own distinctive, accurate spatial sketches.

This Handbook fills the gaps of Open Geometry by explaining new methods, techniques and various examples. One its main strengths is that it enables the reader to learn about Open Geometry by working through examples. In addition, it includes a complete compendium of all the Open Geometry classes and their methods. Open Geometry will be of great attraction to those who want to start graphics programming.

How can one visualize a curve that fills the entire plane or all of space? Can a polyhedron be smoothly turned inside out? What is the projective plane? What does four-dimensional space look like? Can soap bubbles exist that are not spherical? How can one better understand the structure of vortices and currents? In this book you will experience mathematics from the visual point of view, discovering fascinating and never previously published images that offer illustrative examples to the above questions. Every picture is accompanied by a brief explanatory text, references to further reading, and a number of web links where you can obtain further information. This book is intended for all friends of mathematics—students, teachers, amateurs, and professionals—who want to see something beyond dry text and endless formulas. It will provide inspiration for pursuing further one or another topic that may previously have seemed inaccessible. You will get to know mathematics from a totally new and colorful viewpoint.

Mathematicians with special interest in biology, physics, geography, astronomy, architecture, design, etc., and being prepared to take pictures at any time, might try to answer unusual questions like the followings: What do a zebra, a tiger shark, and a hard coral have in common? How is this with drying mud, wings of dragon flies, and the structures of leaves? What is the “snail king” and is there also a “worm king”? Which curves stay of the same type after being photographed? Do fishes see like we do if we look through a fisheye lens? Which geometric properties of an object have physical consequences? Which kinds of geometric patterns appear when waves are interfering? In this book you can find 180 double pages with at least as many questions of this kind. The principle to attack a problem is often similar: It starts with a photo that is for some reasons remarkable. In a short description an explanation is offered, including relevant Internet links. Additionally one can frequently find computer simulations in order to illustrate and confirm.

With fascinating, spectacularly beautiful images, the book piques readers’ curiosity about the diversity of visual organs. This book is the result of a dual approach – scientific as well as aesthetic. The compelling images are accompanied by an easy-to-read, understandable text, aimed at both scientists and the educated public, and generally anyone interested in the beauty of nature. Thanks to this combination, the book presents the staggering diversity of eyes in the animal kingdom and provides countless insights into the intriguing mechanisms at work – from simple pigment cups to independently flexible, telescopic, facet and lens eyes. Educational, exciting, entertaining till the last page, this is a book for anyone who is interested in evolution, nature and the miracle of life.

Exploring the interconnectedness of geometry, physics, and biology, this book delves into how these disciplines inform and enhance each other. It discusses the mathematical principles underlying physical phenomena and biological structures, providing readers with a comprehensive understanding of how these fields interplay in the natural world. Through engaging examples and clear explanations, it aims to bridge the gap between abstract concepts and real-world applications, making complex ideas accessible to a broad audience.

This book invites snorkelers and divers on an educational visit to the most important ecosystems of the Mediterranean Sea. Keystone species from brown algae to dolphins are presented in their marine habitats and understood as part of a complex ecological system. Instead of grouping animals and plants taxonomically, we have organised them according to the eight main habitats of the Mediterranean Sea. Our journey starts with different types of rocky grounds, then takes you further to the Mediterranean’s sandy and muddy grounds, and finally ends with the fish and dolphins of the blue open sea. You will be introduced to 220 ecologically significant animal and plant species via the texts of Daniel Abed-Navandi, a long-time lecturer on the biodiversity of the Mediterranean Sea at the University of Vienna, and the photographs of Georg Glaeser, the master behind the camera, who captures marine life on the spot.

The Moon has always been an object of immense fascination for humanity – and not just because of its prominence in the night sky. With its complex orbit, it is far closer to our planet than any other celestial body. Already in ancient Babylon, humans have studied the Moon and its relationship to the planets and constellations. Through incisive texts and illustrations using photos and computer simulations, this book explores the similarities and differences to other planets and their moons, the Moon’s interactions with the Sun and the Earth, and interesting historical associations. In addition to scientifically accurate texts, it contains numerous large-format photographs and graphics that vividly explain the complex phenomenon of the Moon. Richly illustrated, it is designed for anyone interested in astronomy.

With spectacular large-format images complemented by scientifically grounded, yet easy-to-read, explanatory texts, Georg Glaeser and Werner Nachtigall take you on an exciting journey through the fascinating world of macrostructures – small structures in nature that fulfill specific functions. This book will pique your curiosity about a secret world known only to a few by presenting an impressive range of evolutionary mechanisms, from shrimps’ “tail flips” to the adhesive pads of gecko setae and the implementation of biological structures in the field of bionics. The book can be read in any fashion you please – the cross-references make it easy to jump across the sections, which are largely self-contained and discuss various highlights of the evolutionary process.