Introduction to Hilbert Spaces with Applications The Second Edition if this successful text offers a systematic exposition of the basic ideas and results of Hilbert space theory and functional analysis. It includes a simple introduction to the Lebesgue integral and a new chapter on wavelets. The book provides the reader with revised examples and updated diverse applications to differential and... Subsystems of Second Order Arithmetic (Perspectives in Logic)
Foundations of mathematics is the study of the most basic concepts and
logical structure ofmathematics, with an eye to the unity of human knowl-
edge. Among the most basic mathematical concepts are: number, shape,
set, function, algorithm, mathematical axiom, mathematical definition,
and mathematical proof. Typical questions in...
Discrete-Signal Analysis and Design A clear, step-by-step approach to practical uses of discrete-signal analysis and design, especially for
communications and radio engineers
This book provides an introduction to discrete-time and discrete-frequency signal processing, which is rapidly becoming an important, modern way to design and analyze electronics projects of all...
Challenges for Computational Intelligence (Studies in Computational Intelligence) In the year 1900 at the International Congress of Mathematicians in Paris David Hilbert delivered what is now considered the most important talk ever given in the history of mathematics. In this talk Hilbert outlined his philosophy of mathematics and proposed 23 major problems worth working at in future. Some of these problems were in fact more... Great Feuds in Mathematics: Ten of the Liveliest Disputes Ever
Mathematical disputes offer indisputable proof that great mathematical minds are calculating in more ways than one. Fueled by greed, jealousy, ambition, and ego, they have plots worthy of a soap opera, pitting brother against brother, father against son, and student against mentor.
In the sixteenth century, Cardano and Tartaglia battled...
Frontiers of Evolutionary Computation This book is a collection of essays, authored by eminent scholars in evolutionary computation (EC), artificial intelligence (AI), operations research, complexity theory and mathematics. Each essay revolves around important, interesting and unresolved questions in the field of evolutionary computation.
Finite Frames: Theory and Applications (Applied and Numerical Harmonic Analysis)
Hilbert space frames have long served as a valuable tool for signal and image processing due to their resilience to additive noise, quantization, and erasures, as well as their ability to capture valuable signal characteristics. More recently, finite frame theory has grown into an important research topic in its own right, with a myriad...
Probability and Schrodinger's Mechanics
The presentation and interpretation of (non-relativistic) quantum mechanics is a very well-worked area of study; there have to be very good reasons for adding to the literature on this subject.
My reasons are (obviously) that I am far from satisfied with much of the published work and find difficulties with some points, in...
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