Introduction To The Geometry Of Complex Numbers

This book provided the first self-contained comprehensive exposition of the theory of dynamical systems as a core mathematical discipline closely intertwined with most of the main areas of mathematics. The authors introduce and rigorously develop the theory while providing researchers interested in applications with fundamental tools and paradigms. The book begins with a discussion of several elementary but fundamental examples. These are used to formulate a program for the general study of asymptotic properties and to introduce the principal theoretical concepts and methods. The main theme of the second part of the book is the interplay between local analysis near individual orbits and the global complexity of the orbit structure. The third and fourth parts develop the theories of low-dimensional dynamical systems and hyperbolic dynamical systems in depth. Over 400 systematic exercises are included in the text. The book is aimed at students and researchers in mathematics at all lev

The design and analysis of experiments is typically taught as part of a second level course in statistics. Many different types and levels of students will require this information in order to progres

This book provided the first self-contained comprehensive exposition of the theory of dynamical systems as a core mathematical discipline closely intertwined with most of the main areas of mathematics. The authors introduce and rigorously develop the theory while providing researchers interested in applications with fundamental tools and paradigms. The book begins with a discussion of several elementary but fundamental examples. These are used to formulate a program for the general study of asymptotic properties and to introduce the principal theoretical concepts and methods. The main theme of the second part of the book is the interplay between local analysis near individual orbits and the global complexity of the orbit structure. The third and fourth parts develop the theories of low-dimensional dynamical systems and hyperbolic dynamical systems in depth. Over 400 systematic exercises are included in the text. The book is aimed at students and researchers in mathematics at all lev

This basic overview of juvenile delinquency in the United States emphasizes the connection between delinquency and other problems faced by "at risk" children in America.

A cornerstone of applied probability, Markov chains can be used to help model how plants grow, chemicals react, and atoms diffuse--and applications are increasingly being found in such areas as engine

Taking his point of departure from the newest frontier of research, McCann reads the psalms in the context of their final shape and canonical form. He interprets the psalms as scripture as well as in

The first half deals with the motion of a single particle under the influence of electronic and magnetic fields. The basic language of linear and circular accelerators is developed. The principle of p

This text is a beginning graduate-level introduction to neural networks, focussing on current theoretical models, examining what these models can reveal about how the brain functions, and discussing the ramifications for psychology, artificial intelligence and the construction of a new generation of intelligent computers. The book is divided into four parts. The first part gives an account of the anatomy of the central nervous system, followed by a brief introduction to neurophysiology. The second part is devoted to the dynamics of neuronal states, and demonstrates how very simple models may stimulate associative memory. The third part of the book discusses models of learning, including detailed discussions on the limits of memory storage, methods of learning and their associated models, associativity, and error correction. The final part reviews possible applications of neural networks in artificial intelligence, expert systems, optimization problems, and the construction of actual ne

This text is a beginning graduate-level introduction to neural networks, focussing on current theoretical models, examining what these models can reveal about how the brain functions, and discussing the ramifications for psychology, artificial intelligence and the construction of a new generation of intelligent computers. The book is divided into four parts. The first part gives an account of the anatomy of the central nervous system, followed by a brief introduction to neurophysiology. The second part is devoted to the dynamics of neuronal states, and demonstrates how very simple models may stimulate associative memory. The third part of the book discusses models of learning, including detailed discussions on the limits of memory storage, methods of learning and their associated models, associativity, and error correction. The final part reviews possible applications of neural networks in artificial intelligence, expert systems, optimization problems, and the construction of actual ne

Geoffrey Bromiley, translator of Barth's Church Dogmatics, has written this helpful and comprehensive introduction.

‘A first-rate introduction to a contemporary thinker of outstanding scope and real importance.’ Times Literary Supplement.‘An excellent introductory survey which combines brevity, lucidity and adequat

This book covers the basic, mainly classical, physics of the properties of solids and liquids. The main emphasis is on macroscopic characteristics of materials, although their is some discussion of the atomic or molecular phenomena that underlie the macroscopic effects. Topics that are discussed in detail include the elastic properties of solids, with applications to acoustic waves and the deformation and stability of rods and struts; static and dynamic properties of liquids, with applications to interfacial phenomena and fluid flow characteristics; and diffusion in solids and liquids, with applications to Brownian motion, heat conduction and creep. The coverage combines treatments of the more traditional aspects of these topics with details of developments, such as novel materials, catastrophe theory and soliton propagation. This textbook will be suitable for second- and third-year undergraduates in universities and polytechnics taking courses in the properties of condensed matters in

A classic mathematical monograph by L. Euler (1748), which has previously been available to readers of French, German, and Russian, but is here (at the suggestion of Andre Weil) being made available t

Why do people read novels, go to the theater, or listen to beautiful music? Do we seek out aesthetic experiences simply because we enjoy them--or is there another, deeper, reason we spend our leisure

Using simple models this book shows how we can gain insights into the behavior of complex systems. It is devoted to the discussion of functional self-organization in large populations of interacting a

Heralded as opening a new chapter in international development, the Millennium Development Goals (MDGs) have led to the use of global goals and quantitative targets as a central instrument for definin

This classic undergraduate treatment examines the deductive method in its first part and explores applications of logic and methodology in constructing mathematical theories in its second part. Exercises appear throughout.Alfred Tarski, one of the greatest logicians of all time, is widely thought of as 'the man who defined truth'. His work on the concepts of truth and logical consequence as defined by mathematical theory are cornerstones of modern logic, influencing developments in mathematics, philosophy, linguistics, and computer science. His teaching on logic and mathematics culminated in the 1941 classic INTRODUCTION TO LOGIC, which uses the method of deduction and explores logic and methodology as it pertains to creating mathematical theories.

"It wasn't as good as the book;" this is the response to many a film adaptation, and even the starting point of many film reviews. This book offers the first systematic theoretical a

This classic undergraduate treatment examinesthe deductive method in its first part and explores applications of logic and methodology in constructing mathematical theories in its second part.

Simple carbohydrates, complex oligosaccharides and polysaccharides all belong to a class of ubiquitous (macro)molecules that exhibit a wide range of biological functions, and the recent advent of enha

Insurrection is in the air in Ankh-Morpork. The Haves and Have-Nots are about to fall out all over again. Captain Sam Vimes of the city's ramshackle Night Watch is used to this. It's enough to drive a

Hop on board the School of Numbers spaceship and to head off on an intergalactic journey that introduces young readers to key math concepts including basic arithmetic, averages, shapes, sequences and

Henceforth, Death is no longer going to be the end, merely the means to an end. It's an offer Mort can't refuse. As Death's apprentice he'll have free board, use of the company horse - and being dead

The aim of the School on Rheology of Complex fluids is to bring together young researchers and teachers from educational and R&D institutions, and expose them to the basic concepts and research te

A highly mathematical treatment of a topic that begs for deformalization in order to be accessible to activists and policy makers: the non-equilibrium thermodynamics of the natural, physical world; ho