Roman S. Ingarden - Böcker

This volume presents the principles and methods of sprays (path spaces) and Finsler spaces with many applications in the physical and life sciences. Beginning from the classical theory of sprays, the first chapter presents an introduction to modern Finsler differential geometry. The following three chapters can serve as a comprehensive graduate course using the notions of pre-Finsler connections in spray bundles. Topics covered are the calculus of variations and Finsler metric functions, spaces of constant curvature, projective and conformal geometry, two-dimensional Finsler spaces, and Beswald spaces. Chapter 4 deals with the Finslerian view of dissipative mechanics, thermodynamics and information, and geometrical and electron optics. Chapter 5 discusses, from a Finslerian perspective, ecological problems and models, with particular reference to the Great Barrier Reef. Spray connection theory is shown to be indispensable for a logically consistent theory of social interactions. Projective Finsler geometry and Wagner connection theory are used to model time-sequencing changes in growth and development.Some direct applications to fossil measurements in paleontology are also described. For geometers, physicists and theoretical (marine) biologists, the book can also be used as a supplementary graduate text.

This text aims to present an information-theoretical approach to thermodynamics and its generalizations. On the one hand, it generalizes the concept of "information thermodynamics" to that of "information dynamics" in order to stress applications outside thermal phenomena. On the other hand, it is a synthesis of the dynamics of state change and the theory of complexity, which provide a common framework to treat both physical and nonphysical systems together. Both classical and quantum systems are discussed, and two appendices are included to explain principal definitions and some important aspects of the theory of Hilbert spaces and operator algebras. The concept of higher-order temperatures is explained and applied to biological and linguistic systems. The theory of open systems is presented in a new, much more general form.

Roman Ingarden studied under Husserl before and during the first world war. He belonged to the so-called Gottingen group of Husserl's pupils. Husserl's doctrine was accepted by them and interpreted in a realist vein. Ingarden defended this view all his life. He opposed the development of phenomenology towards idealism. A considerable part of Ingarden's great creative effort is dedicated to the construction of a realist phenomenology and thus, according to him, to continuing the erection of the theoret­ ical structure whose foundations were laid by Husserl in his Logical Investigations. From Ingarden's standpoint the question of idealism versus realism was a crucial one. Ingarden published several studies on Husserl. The first one was written in 1918 and the last one was published posthumously. The present essay was printed in Ingarden's book Z badan nad filozofi:t­ wsp61czesn:t- (Inquiries into Contemporary Philosophy 1963) along with a number of other essays on Husserl and his philoso­ phy. This one is representative for Ingarden's positions. It is a good example of his contribution to an important controversy in the history of phenomenology, and it gives the reader an idea of Ingarden's critique of Husserlian idealism against the background of his argument for realism. Thanks and acknowledgements are due to Mr. J. E. Llewelyn of Edinburgh University. This translation was undertaken in collaboration with him. Arn6r Hannibalsson K6pavogur, Iceland 2I. II.

This volume presents the principles and methods of sprays (path spaces) and Finsler spaces with many applications in the physical and life sciences. The book has six chapters and an extensive reference section. Beginning from the classical theory of sprays, Chapter 0 presents an introduction to modern Finsler differential geometry. The following three chapters can serve as a comprehensive graduate course using the notions of pre-Finsler connections in spray bundles. Topics covered are the calculus of variations and Finsler metric functions, spaces of constant curvature, projective and conformal geometry, two-dimensional Finsler spaces, Beswald spaces, (alpha, beta)-metrics, etc. Chapter 4 deals with the Finslerian view of dissipative mechanics, thermodynamics and information, and geometrical and electron optics. Chapter 5 discusses, from a Finslerian perspective, ecological problems and models, with particular reference to the Great Barrier Reef. Spray connection theory is shown to be indispensable for a logically consistent theory of social interactions.Projective Finsler geometry and Wagner connection theory are used to model time-sequencing changes in growth and development. Some direct applications to fossil measurements in paleontology are also described. For geometers, physicists and theoretical (marine) biologists, the book can also be recommended as a supplementary graduate text.