Georg Glaeser

Konrad Polthier

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.

A Mathematical Picture Book

Hans-Peter Schröcker

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.

Handbook of Geometric Programming Using Open Geometry GL

Daniel Abed-Navandi

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.

A Photographic Dive

Ecosystems of the Mediterranean Sea

Hellmuth Stachel

Boris Odehnal

The Universe of Quadrics This text presents the theory of quadrics in a modern form. It builds on the previously published book "The Universe of Conics", including many novel results that are not easily accessible elsewhere. As in the conics book, the approach combines synthetic and analytic methods to derive projective, affine, and metrical properties, covering both Euclidean and non-Euclidean geometries. While the history of conics is more than two thousand years old, the theory of quadrics began to develop approximately three hundred years ago. Quadrics play a fundamental role in numerous fields of mathematics and physics, their applications ranging from mechanical engineering, architecture, astronomy, and design to computer graphics. This text will be invaluable to undergraduate and graduate mathematics students, those in adjacent fields of study, and anyone with a deeper interest in geometry. Complemented with about three hundred fifty figures and photographs, this innovative text will enhance your understanding of projective geometry, linear algebra, mechanics, and differential geometry, with careful exposition and many illustrative exercises.

The Universe of Quadrics

In this book, a variety of algoritbms are described that may be of interest to everyone who writes software for 3D-graphics. It is a book that haB been written for programmers at an intermediate level as well aB for experienced software engineers who simply want to have some particular functions at their disposal, without having to think too much about details like special cases or optimization for speed. The programming language we use is C, and that has many advantages, because it makes the code both portable and efficient. Nevertheless, it should be possible to adapt the ideas to other high-level programming languages. The reader should have a reasonable knowledge of C, because sophisticated pro grams with economical storage household and fast sections cannot be written without the use of pointers. You will find that in the long run it is just aB easy to work with pointer variables as with multiple arrays . .Aß the title of the book implies, we will not deal with algorithms that are very computation-intensive such as ray tracing or the radiosity method. Furthermore, objects will always be (closed or not closed) polyhedra, which consist of a certain number of polygons.

Fast Algorithms for 3D-Graphics

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.

The Interplay of Celestial Bodies in Pictures

Moonstruck

This book returns geometry to its natural habitats: the arts, nature and technology. Throughout the book, geometry comes alive as a tool to unlock the understanding of our world. Assuming only familiarity with high school mathematics, the book invites the reader to discover geometry through examples from biology, astronomy, architecture, design, photography, drawing, engineering and more. Lavishly illustrated with over 1200 figures, all of the geometric results are carefully derived from scratch, with topics from differential, projective and non-Euclidean geometry, as well as kinematics, introduced as the need arises. The mathematical results contained in the book range from very basic facts to recent results, and mathematical proofs are included although not necessary for comprehension. With its wide range of geometric applications, this self-contained volume demonstrates the ubiquity of geometry in our world, and may serve as a source of inspiration for architects, artists, designers, engineers, and natural scientists. This new edition has been completely revised and updated, with new topics and many new illustrations.

Geometry and Its Applications in Arts, Nature and Technology

Die Buchreihe der Universität für angewandte Kunst Wien Edition Angewandte, herausgegeben von Rektor Dr. Gerald Bast, erscheint themenabhängig in den Verlagen Birkhäuser und De Gruyter. Veröffentlicht werden Sammelbände, Dokumentationen und Monografien aus den Bereichen Architektur, Bildende und Mediale Kunst, Design, Kunstwissenschaften, Kunstpädagogik und Kunstvermittlung. Die seit 2007 bestehende Reihe wird als mittlerweile in der Öffentlichkeit stark etablierte Plattform für relevante Veröffentlichungen aus Kunst und Wissenschaft wahrgenommen. Die Bücher erscheinen in deutscher wie auch in englischer Sprache.

Werner Nachtigall

Hannes F. Paulus

This book will take you on an exciting journey made up of texts and images. Spectacular, large-scale photographs printed on double pages and accompanied by explanatory texts will arouse the reader’s curiosity about evolution’s accomplishments in the world of flying: from the botanical air fleet (pollen grains, flying seeds...), over flying snakes and fish, to penguins flying underwater and humans rising into the air.Mathematician and passionate animal photographer Georg Glaser has joined forces with the experienced evolutionary biologist Hannes Paulus and the exercise physiologist and flight biophysicist Werner Nachtigall in order to approach this topic with words and pictures in a way that is both generally comprehensible and scientifically sound. Double-page by double-page, the book can be read in any order. Cross-references allow to jump easily from one double-page to another. Aside from the detailed introduction to each chapter, the text passages are usually independent from one another, and they discuss crucial moments in the evolutionary process. The double-pages provide additional information on bibliographical references and references to informative websites.

Georg Glaeser

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