Geometrie, Physik und Biologie verstehen Das vorliegende Buch ist ein lehrreiches und reich bebildertes Sachbuch, das naturwissenschaftliche Inhalte auf anschauliche und verständliche Weise vermittelt. Anhand zahlreicher Beispiele erläutert es Themen aus Geometrie, Physik und Biologie und zeigt Gemeinsamkeiten zwischen den Disziplinen auf. Das Buch enthält rund 300 Links zu Videoanimationen; weiters steht eine frei zugängliche interaktive Software zur Verfügung, zur weiteren Vertiefung der Inhalte. Die Inhalte des Buches, die Videos und die Software wurden am Institut für Geometrie an der Universität für angewandte Kunst Wien entwickelt: Georg Glaeser forscht insbesondere zu interdisziplinären mathematischen und biologischen Fragestellungen und arbeitete viele Jahre gemeinsam mit Franz Gruber, einem Meister im Visualisieren komplexer Sachverhalte. Enthält Links zu rund 300 Videoanimationen, abrufbar über QR-Codes Kompakte, informative und leicht verständliche Erklärungen zu naturwissenschaftlichen Fragestellungen aus den Bereichen Geometrie, Physik und Biologie Mit zahlreichen Abbildungen und Illustrationen

The differential geometry of a regular Lagrangian is more involved than that of classical kinetic energy and consequently is far from being Riemannian. Nevertheless, such geometries are playing an increasingly important role in a wide variety of problems in fields ranging from relativistic optics to ecology. The present collection of papers will serve to bring the reader up-to-date on the most recent advances. Subjects treated include higher order Lagrange geometry, the recent theory of -Lagrange manifolds, electromagnetic theory and neurophysiology. Audience: This book is recommended as a (supplementary) text in graduate courses in differential geometry and its applications, and will also be of interest to physicists and mathematical biologists.

The present book has been written by two mathematicians and one physicist: a pure mathematician specializing in Finsler geometry (Makoto Matsumoto), one working in mathematical biology (Peter Antonelli), and a mathematical physicist specializing in information thermodynamics (Roman Ingarden). The main purpose of this book is to present the principles and methods of sprays (path spaces) and Finsler spaces together with examples of applications to physical and life sciences. It is our aim to write an introductory book on Finsler geometry and its applications at a fairly advanced level. It is intended especially for graduate students in pure mathemat ics, science and applied mathematics, but should be also of interest to those pure "Finslerists" who would like to see their subject applied. After more than 70 years of relatively slow development Finsler geometry is now a modern subject with a large body of theorems and techniques and has math ematical content comparable to any field of modern differential geometry. The time has come to say this in full voice, against those who have thought Finsler geometry, because of its computational complexity, is only of marginal interest and with prac tically no interesting applications. Contrary to these outdated fossilized opinions, we believe "the world is Finslerian" in a true sense and we will try to show this in our application in thermodynamics, optics, ecology, evolution and developmental biology. On the other hand, while the complexity of the subject has not disappeared, the modern bundle theoretic approach has increased greatly its understandability.

A game-changing book on the origins of life, called the most important scientific discovery 'since the Copernican revolution' in The Observer.

Unified Field Mechanics, the topic of the 9th international symposium honoring noted French mathematical physicist Jean-Pierre Vigier cannot be considered highly speculative as a myopic critic might surmise. The 8th Vigier Symposium proceedings 'The Physics of Reality' should in fact be touted as a companion volume because of its dramatic theoretical Field Mechanics in additional dimensionality. Many still consider the Planck-scale zero-point field stochastic quantum foam as the 'basement of reality'. This could only be considered true under the limitations of the Copenhagen interpretation of quantum theory. As we enter the next regime of Unified Field Mechanics we now know that the energy-dependent Einstein-Minkowski manifold called spacetime has a finite radius beyond which a large-scale multiverse beckons. So far a battery of 14 experiments has been designed to falsify the model. When the 1st is successfully performed, a revolution in Natural Science will occur! This volume strengthens and expands the theoretical and experimental basis for that immanent new age.