This is an introductory text on a broad class of statistical estimators that are minimizers of convex functions. It covers the basics of U-statistics and Mm-estimators and develops their asymptotic properties. It also provides an elementary introduction to resampling, particularly in the context of these estimators. The last chapter is on practical implementation of the methods presented in other chapters, using the free software R.

This book contains a unique survey of the mathematically rigorous results about the quantum-mechanical many-body problem that have been obtained by the authors in the past seven years. It addresses a topic that is not only rich mathematically, using a large variety of techniques in mathematical analysis, but is also one with strong ties to current experiments on ultra-cold Bose gases and Bose-Einstein condensation. The book provides a pedagogical entry into an active area of ongoing research for both graduate students and researchers. It is an outgrowth of a course given by the authors for graduate students and post-doctoral researchers at the Oberwolfach Research Institute in 2004. The book also provides a coherent summary of the field and a reference for mathematicians and physicists active in research on quantum mechanics.

A ``hands-on'' constructive and computational approach to combinatorial topics with real-life modern applications. Provides a simple treatment of the subject. Introduces topics such as counting, designs and graphs. The notation is standard and kept to a minimum. Chapters end with historical remarks and suggestions for further reading.

Satyendra Nath Bose became a legendary figure of science in the 20th century in India with his revolutionary discovery on the nature of radiation. Despite the association with Einstein, however, little is known about him outside of India. This book highlights the remarkable intellect and the extraordinary personality of Bose set against the backdrop of a rich Bengali cultural tradition and British-Indian politics. Unlike other books covering the significance of Bose''s discovery, this book describes his diverse scientific contributions to India''s scientific community by bringing together selected articles and addresses by Bose as well as contributions from some well-known scientists on the many-faceted life of Bose, thus making it a truly unique volume.

Einstein's theories of relativity piqued public curiosity more than any other mathematical concepts since the time of Isaac Newton. Scientists and non-scientists alike struggled, not so much to grasp as to believe the weird predictions of relativity theory--shrinking space ships, bending light beams, and the like. People all over the world watched with fascination as Einstein's predictions were relentlessly and unequivocally verified by a hundred experiments and astronomical observations. In the last decade of the twentieth-century, another of Einstein's theories has produced results that are every bit as startling as the space-time contractions of relativity theory. This book addresses his other great theory, that of heat capacity and the Bose-Einstein condensate. In doing so, it traces the history of radiation and heat capacity theory from the mid-19th century to the present. It describes early attempts to understand heat and light radiation and proceeds through the theory of the heat capacity of solids. It arrives at the theory of superconductivity and superfluidity--the astonishing property of some liquids to crawl spontaneously up and out of their containers, and the ability of some gases to cause light to pause and take a moment's rest from its inexorable flight forward in time. Couched in the terminology of traditional physical chemistry, this book is accessible to chemists, engineers, materials scientists, mathematicians, mathematical biologists, indeed to anyone with a command of first-year calculus. In course work, it is a collateral text to third semester or advanced physical chemistry, introductory statistical mechanics, statistical thermodynamics, or introductory quantum chemistry. The book connects with mainstream physical chemistry by treating boson and fermion influences in molecular spectroscopy, statistical thermodynamics, molecular energetics, entropy, heat capacities (especially of metals), superconductivity, and superfluidity.

Taken literally, the title "All of Statistics" is an exaggeration. But in spirit, the title is apt, as the book does cover a much broader range of topics than a typical introductory book on mathematical statistics. This book is for people who want to learn probability and statistics quickly. It is suitable for graduate or advanced undergraduate students in computer science, mathematics, statistics, and related disciplines. The book includes modern topics like non-parametric curve estimation, bootstrapping, and classification, topics that are usually relegated to follow-up courses. The reader is presumed to know calculus and a little linear algebra. No previous knowledge of probability and statistics is required. Statistics, data mining, and machine learning are all concerned with collecting and analysing data.

With contributions by leading quantum physicists, philosophers and historians, this comprehensive A-to-Z of quantum physics provides a lucid understanding of key concepts of quantum theory and experiment. It covers technical and interpretational aspects alike, and includes both traditional and new concepts, making it an indispensable resource for concise, up-to-date information about the many facets of quantum physics.

This book makes broadly accessible an understandable proof of the infamous spin-statistics theorem. This widely known but little-understood theorem is intended to explain the fact that electrons obey the Pauli exclusion principle. This fact, in turn, explains the periodic table of the elements and their chemical properties. Therefore, this one simply stated fact is responsible for many of the principal features of our universe, from chemistry to solid state physics to nuclear physics to the life cycle of stars.In spite of its fundamental importance, it is only a slight exaggeration to say that “everyone knows the spin-statistics theorem, but no one understands it”. This book simplifies and clarifies the formal statements of the theorem, and also corrects the invariably flawed intuitive explanations which are frequently put forward.The book will be of interest to many practising physicists in all fields who have long been frustrated by the impenetrable discussions on the subject which have been available until now. It will also be accessible to students at an advanced undergraduate level as an introduction to modern physics based directly on the classical writings of the founders, including Pauli, Dirac, Heisenberg, Einstein and many others.