*Contributions to the Theory of Nonlinear Oscillations, Vol. I, edited by S. Lefschetz 21. Functional Operators, Vol. ... 31. Order-Preserving Maps and Integration Processes, by Edward J. McShane 32. Curvature and Betti Numbers, ...*

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# Order Preserving Maps and Integration Processes AM 31 Volume 31

The description for this book, Order-Preserving Maps and Integration Processes. (AM-31), Volume 31, will be forthcoming.
# Order preserving Maps and Integration Processes

The description for this book, Order-Preserving Maps and Integration Processes. (AM-31), Volume 31, will be forthcoming.
# Bernstein Operators and Their Properties

This book provides comprehensive information on the main aspects of Bernstein operators, based on the literature to date. Bernstein operators have a long-standing history and many papers have been written on them. Among all types of positive linear operators, they occupy a unique position because of their elegance and notable approximation properties. This book presents carefully selected material from the vast body of literature on this topic. In addition, it highlights new material, including several results (with proofs) appearing in a book for the first time. To facilitate comprehension, exercises are included at the end of each chapter. The book is largely self-contained and the methods in the proofs are kept as straightforward as possible. Further, it requires only a basic grasp of analysis, making it a valuable and appealing resource for advanced graduate students and researchers alike.
# Handbook of Measure Theory

The main goal of this Handbook is to survey measure theory with its many different branches and its relations with other areas of mathematics. Mostly aggregating many classical branches of measure theory the aim of the Handbook is also to cover new fields, approaches and applications which support the idea of "measure" in a wider sense, e.g. the ninth part of the Handbook. Although chapters are written of surveys in the various areas they contain many special topics and challenging problems valuable for experts and rich sources of inspiration. Mathematicians from other areas as well as physicists, computer scientists, engineers and econometrists will find useful results and powerful methods for their research. The reader may find in the Handbook many close relations to other mathematical areas: real analysis, probability theory, statistics, ergodic theory, functional analysis, potential theory, topology, set theory, geometry, differential equations, optimization, variational analysis, decision making and others. The Handbook is a rich source of relevant references to articles, books and lecture notes and it contains for the reader's convenience an extensive subject and author index.
# Composition Methods in Homotopy Groups of Spheres AM 49 Volume 49

The description for this book, Composition Methods in Homotopy Groups of Spheres. (AM-49), Volume 49, will be forthcoming.
# Seminar on Transformation Groups AM 46 Volume 46

The description for this book, Seminar on Transformation Groups. (AM-46), Volume 46, will be forthcoming.
# Contributions to the Theory of Nonlinear Oscillations AM 45 Volume V

The description for this book, Contributions to the Theory of Nonlinear Oscillations (AM-45), Volume V, will be forthcoming.
# Harmonic Analysis and the Theory of Probability

Nineteenth-century studies of harmonic analysis were closely linked with the work of Joseph Fourier on the theory of heat and with that of P. S. Laplace on probability. During the 1920s, the Fourier transform developed into one of the most effective tools of modern probabilistic research; conversely, the demands of the probability theory stimulated further research into harmonic analysis. Mathematician Salomon Bochner wrote a pair of landmark books on the subject in the 1930s and 40s. In this volume, originally published in 1955, he adopts a more probabilistic view and emphasizes stochastic processes and the interchange of stimuli between probability and analysis. Non-probabilistic topics include Fourier series and integrals in many variables; the Bochner integral; the transforms of Plancherel, Laplace, Poisson, and Mellin; applications to boundary value problems, to Dirichlet series, and to Bessel functions; and the theory of completely monotone functions. The primary significance of this text lies in the last two chapters, which offer a systematic presentation of an original concept developed by the author and partly by LeCam: Bochner's characteristic functional, a Fourier transform on a Euclidean-like space of infinitely many dimensions. The characteristic functional plays a role in stochastic processes similar to its relationship with numerical random variables, and thus constitutes an important part of progress in the theory of stochastic processes.
# Surface Area AM 35 Volume 35

The description for this book, Surface Area. (AM-35), Volume 35, will be forthcoming.
# Ramification Theoretic Methods in Algebraic Geometry AM 43 Volume 43

The description for this book, Ramification Theoretic Methods in Algebraic Geometry (AM-43), Volume 43, will be forthcoming.
# Contributions to the Theory of Games AM 39 Volume III

A new group of contributions to the development of this theory by leading experts in the field. The contributors include L. D. Berkovitz, L. E. Dubins, H. Everett, W. H. Fleming, D. Gale, D. Gillette, S. Karlin, J. G. Kemeny, R. Restrepo, H. E. Scarf, M. Sion, G. L. Thompson, P. Wolfe, and others.
# Lectures on Fourier Integrals AM 42 Volume 42

The description for this book, Lectures on Fourier Integrals. (AM-42), Volume 42, will be forthcoming.
# Linear Inequalities and Related Systems AM 38 Volume 38

The description for this book, Linear Inequalities and Related Systems. (AM-38), Volume 38, will be forthcoming.
# Curvature and Betti Numbers AM 32 Volume 32

The description for this book, Curvature and Betti Numbers. (AM-32), Volume 32, will be forthcoming.
# Contributions to the Theory of Riemann Surfaces AM 30 Volume 30

The description for this book, Contributions to the Theory of Riemann Surfaces. (AM-30), Volume 30, will be forthcoming.
# Contributions to the Theory of Partial Differential Equations AM 33 Volume 33

The description for this book, Contributions to the Theory of Partial Differential Equations. (AM-33), Volume 33, will be forthcoming.
# Stationary Processes and Prediction Theory

The description for this book, Stationary Processes and Prediction Theory. (AM-44), Volume 44, will be forthcoming.
# General Theory of Functions and Integration

Uniting a variety of approaches to the study of integration, a well-known professor presents a single-volume "blend of the particular and the general, of the concrete and the abstract." 1966 edition.
# Theory of Formal Systems

This book serves both as a completely self-contained introduction and as an exposition of new results in the field of recursive function theory and its application to formal systems.
# Seminar on Transformation Groups

The description for this book, Seminar on Transformation Groups. (AM-46), Volume 46, will be forthcoming.