Advanced maths students have been waiting for this, the third edition of a text that deals with one of the fundamentals of their field. This book contains a systematic treatment of probability from the ground up, starting with intuitive ideas and gradually developing more sophisticated subjects, such as random walks and the Kalman-Bucy filter. Examples are discussed in detail, and there are a large number of exercises. This third edition contains new problems and exercises, new proofs, expanded material on financial mathematics, financial engineering, and mathematical statistics, and a...
Advanced maths students have been waiting for this, the third edition of a text that deals with one of the fundamentals of their field. This book c...
Advanced maths students have been waiting for this, the third edition of a text that deals with one of the fundamentals of their field. This book contains a systematic treatment of probability from the ground up, starting with intuitive ideas and gradually developing more sophisticated subjects, such as random walks and the Kalman-Bucy filter. Examples are discussed in detail, and there are a large number of exercises. This third edition contains new problems and exercises, new proofs, expanded material on financial mathematics, financial engineering, and mathematical statistics, and a...
Advanced maths students have been waiting for this, the third edition of a text that deals with one of the fundamentals of their field. This book c...
Banach algebras are Banach spaces equipped with a continuous multipli- tion. In roughterms, there arethree types ofthem: algebrasofboundedlinear operators on Banach spaces with composition and the operator norm, al- bras consisting of bounded continuous functions on topological spaces with pointwise product and the uniform norm, and algebrasof integrable functions on locally compact groups with convolution as multiplication. These all play a key role in modern analysis. Much of operator theory is best approached from a Banach algebra point of view and many questions in complex analysis (such...
Banach algebras are Banach spaces equipped with a continuous multipli- tion. In roughterms, there arethree types ofthem: algebrasofboundedlinear opera...
The Springer Handbook of Auditory Research presents a series of com- prehensive and synthetic reviews of the fundamental topics in modem auditory research. It is aimed at all individuals with interests in hearing research including advanced graduate students, postdoctoral researchers, and clinical investigators. The volumes will introduce new investigators to important aspects of hearing science and will help established investigators to better understand the fundamental theories and data in fields of hearing that they may not normally follow closely. Each volume is intended to present a...
The Springer Handbook of Auditory Research presents a series of com- prehensive and synthetic reviews of the fundamental topics in modem auditory rese...
Recent revolutions in the world of finance have created a need for the expertise of research mathematicians in solving problems. The articles in this volume are based on recent research in methods in mathematical finance.
Recent revolutions in the world of finance have created a need for the expertise of research mathematicians in solving problems. The articles in this ...
This book is based on several courses given by the authors since 1966. It introduces the reader to the representation theory of compact Lie groups. We have chosen a geometrical and analytical approach since we feel that this is the easiest way to motivate and establish the theory and to indicate relations to other branches of mathematics. Lie algebras, though mentioned occasionally, are not used in an essential way. The material as well as its presentation are classical; one might say that the foundations were known to Hermann Weyl at least 50 years ago. Prerequisites to the book are standard...
This book is based on several courses given by the authors since 1966. It introduces the reader to the representation theory of compact Lie groups. We...
TheclassicaltheoryofFourierseriesandintegrals, aswellasLaplacetra- forms, is of great importance for physical and technical applications, and its mathematical beauty makes it an interesting study for pure mathema- cians as well. I have taught courses on these subjects for decades to civil engineeringstudents, andalsomathematicsmajors, andthepresentvolume can be regarded as my collected experiences from this work. There is, of course, an unsurpassable book on Fourier analysis, the tr- tise by Katznelson from 1970. That book is, however, aimed at mathem- ically very mature students and can...
TheclassicaltheoryofFourierseriesandintegrals, aswellasLaplacetra- forms, is of great importance for physical and technical applications, and its math...
Based on a graduate course at the Technische Universitat, Berlin, these lectures present a wealth of material on the modern theory of convex polytopes. The straightforward exposition features many illustrations, and complete proofs for most theorems. With only linear algebra as a prerequisite, it takes the reader quickly from the basics to topics of recent research. The lectures introduce basic facts about polytopes, with an emphasis on methods that yield the results, discuss important examples and elegant constructions, and show the excitement of current work in the field. They will...
Based on a graduate course at the Technische Universitat, Berlin, these lectures present a wealth of material on the modern theory of convex polyto...
This book makes available a comprehensive, detailed, and organized treatment of the foundations of the theory of iteration of rational functions of a complex variable. The material covered extends from the original memoirs of Fatou and Julia to the recent and important results and methods of Sullivan and Shishikura. Many of the details of the proofs have not occurred in print before. The theory of of dynamical systems and chaos has recently undergone a rapid growth in popularity, in part due to the spectacular computer graphics of Julia sets, fractals, and the Mandelbrot set. This text...
This book makes available a comprehensive, detailed, and organized treatment of the foundations of the theory of iteration of rational functions of a ...
Includes a rich variety of exercises to accompany the exposition of Coxeter groups
Coxeter groups have already been exposited from algebraic and geometric perspectives, but this book will be presenting the combinatorial aspects of Coxeter groups
Includes a rich variety of exercises to accompany the exposition of Coxeter groups
Coxeter groups have already been exposited from algebrai...
