After World War II, communication and control engineering reached a high level of development. The next step may be the recasting and unifying of the theories of control and communication in the machine and in the animal on a statistical basis. This monograph represents one phase of the new theory pertaining to the methods and techniques in the design of communications; it was first published d…
"The MIT Press.""This monograph addresses the problem of "real-time" curve fitting in the presence of noise, from the computational and statistical viewpoints. It examines the problem of nonlinear regression, where observations are made on a time series whose mean-value function is known except for a vector parameter. In contrast to the traditional formulation, data are imagined to arrive in te…
Experimental Affinities in Music brings together diverse artistic, musicological, historical, and philosophical essays, enhancing a broad discourse on artistic experimentation, and exploring various experimental attitudes in music composed between the thirteenth and twentieth centuries. The golden thread running through the different chapters is the quest for inherently experimental musical pra…
"Research on age(ing) and work often draws upon lifespan development perspectives to explain how adults “age successfully,” managing developmental gains and losses and maintaining well-being and functioning over time. There are a multitude of similar theories to consider to this end, which is both a blessing and a curse for researchers. In this chapter, we introduce a conceptual integration…
"Research on age(ing) and work often draws upon lifespan development perspectives to explain how adults “age successfully,” managing developmental gains and losses and maintaining well-being and functioning over time. There are a multitude of similar theories to consider to this end, which is both a blessing and a curse for researchers. In this chapter, we introduce a conceptual integration…
Providing an elementary introduction to analytic continuation and monodromy, the first part of this volume applies these notions to the local and global study of complex linear differential equations, their formal solutions at singular points, their monodromy and their differential Galois groups. The Riemann-Hilbert problem is discussed from Bolibrukh?s point of view. The second part expounds 1…
The aim of this volume is two-fold. First, to show how the resurgent methods introduced in volume 1 can be applied efficiently in a non-linear setting; to this end further properties of the resurgence theory must be developed. Second, to analyze the fundamental example of the First Painlevé equation. The resurgent analysis of singularities is pushed all the way up to the so-called "bridge equ…
The aim of this volume is two-fold. First, to show how the resurgent methods introduced in volume 1 can be applied efficiently in a non-linear setting; to this end further properties of the resurgence theory must be developed. Second, to analyze the fundamental example of the First Painlevé equation. The resurgent analysis of singularities is pushed all the way up to the so-called "bridge equ…
The techniques presented here are useful for solving mathematical contest problems in algebra and analysis. Most of the examples and exercises that appear in the book originate from mathematical Olympiad competitions around the world. In the first four chapters the authors cover material for competitions at high school level. The level advances with the chapters. The topics explored include po…
This book aims to dispel the mystery and fear experienced by students surrounding sequences, series, convergence, and their applications. The author, an accomplished female mathematician, achieves this by taking a problem solving approach, starting with fascinating problems and solving them step by step with clear explanations and illuminating diagrams. The reader will find the problems inte…