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Theory of Hp Spaces
A blend of classical and modern techniques and viewpoints, this text examines harmonic and subharmonic functions, the basic structure of Hp functions, applications, Taylor coefficients, interpolation theory, more. 1970 edition.
Invitation to Classical Analysis
This book gives a rigorous treatment of selected topics in classical analysis, with many applications and examples. The exposition is at the undergraduate level, building on basic principles of advanced calculus without appeal to more sophisticated techniques of complex analysis and Lebesgue integration. Among the topics covered are Fourier series and integrals, approximation theory, Stirling's formula, the gamma function, Bernoulli numbers and polynomials, the Riemann zeta function, Tauberian theorems, elliptic integrals, ramifications of the Cantor set, and a theoretical discussion of differential equations including power series solutions at regular singular points, Bessel functions, hype...
Theory of H[superscript p] spaces
The theory of HP spaces has its origins in discoveries made forty or fifty years ago by such mathematicians as G. H. Hardy, J. E. Littlewood, I. I. Privalov, F. and M. Riesz, V. Smirnov, and G. Szego. Most of this early work is concerned with the properties of individual functions of class HP, and is classical in spirit. In recent years, the development of functional analysis has stimulated new interest in the HP classes as linear spaces. This point of viewhas suggested a variety of natural problems and has provided new methods of attack, leading to important advances in the theory. This book is an account of both aspects of the subject, the classical and the modern. It is intended to provide a convenient source for the older parts of the theory (the work of Hardy and Littlewood, for example), as well as to give a self-contained exposition of more recent developments such as Beurling's theorem on invariant subspaces, the Macintyre-RogosinskiShapiro-Havinson theory of extremal problems, interpolation theory, the dual space structure of HP with p
Univalent Functions
None
Bergman Spaces
The modern subject of Bergman spaces is a masterful blend of complex function theory with functional analysis and operator theory. It has much in common with Hardy spaces but involves new elements such as hyperbolic geometry, reproducing kernels, and biharmonic Green functions. This book develops background material and provides a self-contained introduction to a broad range of old and new topics in Bergman spaces, including recent advances on interpolation and sampling, contractive zero-divisors, and invariant subspaces. It is accessible to anyone who has studied basic real and complex analysis at the graduate level.
The Way I Remember It
Walter Rudin's memoirs should prove to be a delightful read specifically to mathematicians, but also to historians who are interested in learning abou his colourful history and ancestry. Characterized by his personal style of elegance, clarity, and brevity, Rudin presents in the first part of the book his early memories about his family history, his boyhood in Vienna throughout the 1920s and 1930s, and his experiences during World War II. Part II offers samples of his work, in which he relates where problems came from, what their solutions led to, and who else was involved. As those who are familiar with Rudin's writing will recognize, he brings to this book the same care, depth, and originality that is the hallmark of his work. Co-published with the London Mathematical Society
Human Body Composition
The 2nd edition of Human Body Composition includes updated information and new chapters. The editors and 35 contributors are well respected researchers in the field of body composition science. This is one of few texts that provides comprehensive coverage of body composition research. The primary intent is to present current information on research methods. This book can serve as a textbook for those who are students or new researchers. Descriptions of various methods and background information are imparted in great detail with numerous references. New chapters address energy expenditure, animal body composition, molecular genetics and body composition as it relates to disease states of cancer, HIV, obesity and certain inflammatory diseases like rheumatoid arthritis, inflammatory bowel disease, congestive heart failure and chronic obstructive pulmonary disease. This book is recommended for students and new researchers in the field of body composition research who need to learn various methods, histories and practical applications--Publisher's description.
A Companion to Paleoanthropology
A Companion to Paleoanthropology presents a compendium of readings from leading scholars in the field that define our current knowledge of the major discoveries and developments in human origins and human evolution, tracing the fossil record from primate and hominid origins to the dispersal of modern humans across the globe. Represents an accessible state-of-the-art summary of the entire field of paleoanthropology, with an overview of hominid taxonomy Features articles on the key discoveries in ape and human evolution, in cranial, postcranial and brain evolution, growth and development Surveys the breadth of the paleontological record from primate origins to modern humans Highlights the unique methods and techniques of paleoanthropology, including dating and ecological methods, and use of living primate date to reconstruct behavior in fossil apes and humans
