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Foundations of Probability
Introducing many innovations in content and methods, this book involves the foundations, basic concepts, and fundamental results of probability theory. Geared toward readers seeking a firm basis for study of mathematical statistics or information theory, it also covers the mathematical notions of experiments and independence. 1970 edition.
Probability Theory
The founder of Hungary's Probability Theory School, A. Rényi made significant contributions to virtually every area of mathematics. This introductory text is the product of his extensive teaching experience and is geared toward readers who wish to learn the basics of probability theory, as well as those who wish to attain a thorough knowledge in the field. Based on the author's lectures at the University of Budapest, this text requires no preliminary knowledge of probability theory. Readers should, however, be familiar with other branches of mathematics, including a thorough understanding of the elements of the differential and integral calculus and the theory of real and complex functions. These well-chosen problems and exercises illustrate the algebras of events, discrete random variables, characteristic functions, and limit theorems. The text concludes with an extensive appendix that introduces information theory.
Quantum Mechanics and Quantum Information
Alongside a thorough definition of basic concepts and their interrelations, backed by numerous examples, this textbook features a rare discussion of quantum mechanics and information theory combined in one text. It deals with important topics hardly found in regular textbooks, including the Robertson-Schrodinger relation, incompatibility between angle and angular momentum, "dispersed indeterminacy", interaction-free measurements, "submissive quantum mechanics", and many others. With its in-depth discussion of key concepts complete with problems and exercises, this book is poised to become the standard textbook for advanced undergraduate and beginning graduate quantum mechanics courses and an essential reference for physics students and physics professionals.
Foundations and Philosophy of Epistemic Applications of Probability Theory
Proceedings of an International Research Colloquium held at the University of Western Ontario, 10-13 May 1973.
Dialogues on Mathematics
This book discusses in dialogue form the basic principles of mathematics and its applications including the question: What is mathematics? What does its specific method consist of? What is its relation to the sciences and humanities? What can it offer to specialists in different fields? How can it be applied in practice and in discovering the laws of nature? Dramatized by the dialogue form and shown in the historical movements in which they originated, these questions are discussed in their full complexity, yet are easily comprehended. The first dialogue, whose chief actor is Socrates, leads the reader to the source of modern mathematics in Athens in the 5th Century BC. The second dialogue, ...
Beyond Art: A Third Culture
A new theory of culture presented with a new method achieved by comparing closely the art and science in 20th century Austria and Hungary. Major achievements that have influenced the world like psychoanalysis, abstract art, quantum physics, Gestalt psychology, formal languages, vision theories, and the game theory etc. originated from these countries, and influence the world still today as a result of exile nurtured in the US. A source book with numerous photographs, images and diagrams, it opens up a nearly infinite horizon of knowledge that helps one to understand what is going on in today’s worlds of art and science.
Storing and Transmitting Data
The volume “Storing and Transmitting Data” is based on Rudolf Ahlswede's introductory course on "Information Theory I" and presents an introduction to Shannon Theory. Readers, familiar or unfamiliar with the technical intricacies of Information Theory, will benefit considerably from working through the book; especially Chapter VI with its lively comments and uncensored insider views from the world of science and research offers informative and revealing insights. This is the first of several volumes that will serve as a collected research documentation of Rudolf Ahlswede’s lectures on information theory. Each volume includes comments from an invited well-known expert. Holger Boche cont...
Information Theoretic Learning
This book is the first cohesive treatment of ITL algorithms to adapt linear or nonlinear learning machines both in supervised and unsupervised paradigms. It compares the performance of ITL algorithms with the second order counterparts in many applications.
