This fascinating book explores the connections between chaos theory, physics, biology, and mathematics. Its award-winning computer graphics, optical illusions, and games illustrate the concept of self-similarity, a typical property of fractals. The author -- hailed by Publishers Weekly as a modern Lewis Carroll -- conveys memorable insights in the form of puns and puzzles. 1992 edition.
New material treats such contemporary subjects as automatic speech recognition and speaker verification for banking by computer and privileged (medical, military, diplomatic) information and control access. The book also focuses on speech and audio compression for mobile communication and the Internet. The importance of subjective quality criteria is stressed. The book also contains introductions to human monaural and binaural hearing, and the basic concepts of signal analysis. Beyond speech processing, this revised and extended new edition of Computer Speech gives an overview of natural language technology and presents the nuts and bolts of state-of-the-art speech dialogue systems.
Number Theory in Science and Communication is an introduction for non-mathematicians. The book stresses intuitive understanding rather than abstract theory and highlights important concepts such as continued fractions, the golden ratio, quadratic residues and Chinese remainders, trapdoor functions, pseudoprimes and primituve elements. Their applications to problems in the real world is one of the main themes of the book. This third edition is augmented by recent advances in primes in progressions, twin primes, prime triplets, prime quadruplets and quintruplets, factoring with elliptic curves, quantum factoring, Golomb rulers and "baroque" integers.
Number Theory in Science and Communication" is a well-known introduction for non-mathematicians to this fascinating and useful branch of applied mathematics . It stresses intuitive understanding rather than abstract theory and highlights important concepts such as continued fractions, the golden ratio, quadratic residues and Chinese remainders, trapdoor functions, pseudo primes and primitive elements. Their applications to problems in the real world are one of the main themes of the book. This revised fifth edition is augmented by recent advances in coding theory, permutations and derangements and a chapter in quantum cryptography. From reviews of earlier editions – "I continue to find [Schroeder’s] Number Theory a goldmine of valuable information. It is a marvelous book, in touch with the most recent applications of number theory and written with great clarity and humor.’ Philip Morrison (Scientific American) "A light-hearted and readable volume with a wide range of applications to which the author has been a productive contributor – useful mathematics outside the formalities of theorem and proof." Martin Gardner
Beauty is the first test: there is no permanent place in the world for ugly mathematics. " - G. H. Hardy N umber theory has been considered since time immemorial to be the very paradigm of pure (some would say useless) mathematics. In fact, the Chinese characters for mathematics are Number Science. "Mathematics is the queen of sciences - and number theory is the queen of mathematics," according to Carl Friedrich Gauss, the lifelong Wunderkind, who hirnself enjoyed the epithet "Princeps Mathematicorum. " What could be more beautiful than a deep, satisfying relation between whole numbers. {One is almost tempted to call them wholesome numbersJ In fact, it is hard to come up with a more appropriate designation than their learned name: the integers - meaning the "untouched ones". How high they rank, in the realms of pure thought and aesthetics, above their lesser brethren: the real and complex number- whose first names virtually exude unsavory involvement with the complex realities of everyday life! Yet, as we shall see in this book, the theory of integers can provide totally unexpected answers to real-world problems. In fact, discrete mathematics is ta king on an ever more important role. If nothing else, the advent of the digital computer and digital communication has seen to that. But even earlier, in physics the emergence of quantum mechanics and discrete elementary particles put a premium on the methods and, indeed, the spirit of discrete mathematics.
Beauty is the first test: there is no permanent place in the world for ugly mathematics. " - G. H. Hardy Number theory has been considered since time immemorial to be the very paradigm of pure (some would say useless) mathematics. In fact, the Chinese characters for mathematics are Number Science. "Mathematics is the queen of sciences - and number theory is the queen of mathematics," according to Carl Friedrich Gauss, the lifelong Wunderkind, who himself enjoyed the epithet "Princeps Mathematicorum. " What could be more beautiful than a deep, satisfying relation between whole numbers. (One is almost tempted to call them wholesome numbers') In fact, it is hard to come up with a more appropriate designation than their learned name: the integers - meaning the "untouched ones". How high they rank, in the realms of pure thought and aesthetics, above their lesser brethren: the real and complex number- whose first names virtually exude unsavory involvement with the complex realities of everyday life! Yet, as we shall see in this book, the theory of integers can provide totally unexpected answers to real-world problems. In fact, discrete mathematics is taking on an ever more important role. If nothing else, the advent of the digital computer and digital communication has seen to that. But even earlier, in physics the emergence of quantum mechanics and discrete elementary particles put a premium on the methods and, indeed, the spirit of discrete mathematics.
This fascinating book explores the connections between chaos theory, physics, biology, and mathematics. Its award-winning computer graphics, optical illusions, and games illustrate the concept of self-similarity, a typical property of fractals. The author -- hailed by Publishers Weekly as a modern Lewis Carroll -- conveys memorable insights in the form of puns and puzzles. 1992 edition.
The highly praised Western, The Good, the Bad, and the Ugly, has been used in many game-theory courses over the years and has also found its way into leading journals of this field. Using the rich material offered by this movie, alongside other elements from popular culture, literature and history, this book furthers this exploration into a fascinating area of economics. In his series of Schumpeter lectures, Manfred J. Holler uses his analysis of Sergio Leone’s movie as a starting point to argue that combinations of desires, secrets and second-mover advantages trigger conflicts but also allow for conflict resolution. Many people and organizations have a desire for secrecy, and this is often motivated by a desire to create a second-mover advantage, and by undercutting the second-mover advantage of others. This book demonstrates that the interaction of these three ingredients account for a large share of social problems and failures in politics and business but, somewhat paradoxically, can also help to overcome some of the problems that result by applying one or two of them in isolation. This book has been written for curious readers who want to see the world from a different perspective and who like simple mathematics alongside story telling. Its accessible approach means that it will be of use to students and academics alike, especially all those interested in decision making, game theory, and market entry.
The contacts between man and nonhuman primates enable the transmission of mic roorganisms from one species to the other. Such contact may occur at quite differ ent levels: man and nonhuman primates may share the same ecosystem including the presence of vectors in the countries of origins of monkeys and apes; the animals are captured to be sold or used for food; field researchers have to stay near the ani mals in the wild; an uncontrolled human population gets close enough to almost touch the animals in zoological gardens around the world; pet owners establish bodily contact and finally researchers doing surgery or necropsies are exposed to an increased number of pathogens liberated from the organs and body fluids. Usually monkeys and apes are more threatened with catching the microorgan isms indigenous to man than vice versa, but nevertheless outbreaks of true zoonoses with nonhuman primates as the source of infection have occurred. Also the retrans mission of originally human pathogens via nonhuman primates to man may pose a considerable risk to human health. Unfortunately the information on the different agents transmissible between man and his relatives is too disseminated for practical use, as it involves quite differ ent scientific disciplines such as virology, bacteriology, parasitology, primatology, laboratory animal science etc. It seemed therefore necessary to compile the current knowledge concerning this topic in a single publication. Human infections of simian origin may be caused by several viruses, bacteria, fungi or endoparasites. Ectoparasites, in comparison, are of little importance.
This book provides a comprehensive analysis of social policy in the German Democratic Republic (GDR, 1949-1990), followed by an analysis of the “Social Union”, the transformation of social policy in the process of German unification in 1990. Schmidt’s analysis of the GDR also depicts commonalities and differences between the welfare state in East and West Germany as well as in other East European and Western countries. He concludes that the GDR was unable to cope with the trade-off between ambitious social policy goals and a deteriorating economic performance. Ritter embeds his analysis of the Social Union in a general study of German unification, its international circumstances and its domestic repercussions (1989-1994). He argues that social policy played a pivotal role in German unification, and that there was no alternative to extending the West German welfare state to the East. Ritter, a distinguished historian, bases his contribution on an award-winning study for which he drew on archival sources and interviews with key actors. Schmidt is a distinguished political scientist.
Number Theory in Science and Communication introductes non-mathematicians to the fascinating and diverse applications of number theory. This best-selling book stresses intuitive understanding rather than abstract theory and highlights important concepts such as continued fractions, the golden ratio, quadratic residues and Chinese remainders, trapdoor functions, pseudoprimes and primituve elements. Their applications to problems in the real world is one of the main themes of the book. This revised fourth edition is augmented by recent advances in primes in progressions, twin primes, prime triplets, prime quadruplets and quintruplets, factoring with elliptic curves, quantum factoring, Golomb rulers and "baroque" integers. Engineers and physicists find this an enjoyable and insightful addition to their libraries. From reviews of an earlier editions – "I continue to find [Schroeder’s] Number Theory a goldmine of valuable information. It is a marvellous book, in touch with the most recent applications of number theory and written with great clarity and humor.’ Philip Morrison (Scientific American) "A light-hearted and readable volume with a wide range of applications to which the author has been a productive contributor – useful mathematics outside the formalities of theorem and proof." Martin Gardner
New material treats such contemporary subjects as automatic speech recognition and speaker verification for banking by computer and privileged (medical, military, diplomatic) information and control access. The book also focuses on speech and audio compression for mobile communication and the Internet. The importance of subjective quality criteria is stressed. The book also contains introductions to human monaural and binaural hearing, and the basic concepts of signal analysis. Beyond speech processing, this revised and extended new edition of Computer Speech gives an overview of natural language technology and presents the nuts and bolts of state-of-the-art speech dialogue systems.
This book presents a vivid argument for the almost lost idea of a unity of all natural sciences. It starts with the "strange" physics of matter, including particle physics, atomic physics and quantum mechanics, cosmology, relativity and their consequences (Chapter I), and it continues by describing the properties of material systems that are best understood by statistical and phase-space concepts (Chapter II). These lead to entropy and to the classical picture of quantitative information, initially devoid of value and meaning (Chapter III). Finally, "information space" and dynamics within it are introduced as a basis for semantics (Chapter IV), leading to an exploration of life and thought as new problems in physics (Chapter V). Dynamic equations - again of a strange (but very general) nature - bring about the complex familiarity of the world we live in. Surprising new results in the life sciences open our eyes to the richness of physical thought, and they show us what can and what cannot be explained by a Darwinian approach. The abstract physical approach is applicable to the origins of life, of meaningful information and even of our universe.
In this clearly written and scrupulously researched book, Manfred Jonas tells the story of relations between the two countries from America's Declaration of Independence in 1776 to the Nixon administration's recognition of the German Democratic Republic in 1973.
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