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Introduction to Hilbert Spaces with Applications
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...
Fundamental Mathematical Structures of Quantum Theory: Spectral Theory, Foundational Issues, Symmetries, Algebraic Formulation
Fundamental Mathematical Structures of Quantum Theory: Spectral Theory, Foundational Issues, Symmetries, Algebraic Formulation

This textbook presents in a concise and self-contained way the advanced fundamental mathematical structures in quantum theory. It is based on lectures prepared for a 6 months course for MSc students. The reader is introduced to the beautiful interconnection between logic, lattice theory, general probability theory, and general...

Finite Frames: Theory and Applications (Applied and Numerical Harmonic Analysis)
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...

E: The Story of a Number
E: The Story of a Number
Maor attempts to give the irrational number e its rightful standing alongside pi as a fundamental constant in science and nature; he succeeds very well.... Maor writes so that both mathematical newcomers and long-time professionals alike can thoroughly enjoy his book, learn something new, and witness the ubiquity of mathematical ideas in...
Probability and Schrodinger's Mechanics
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
...

Coherent States in Quantum Physics
Coherent States in Quantum Physics

This self-contained introduction discusses the evolution of the notion of coherent states, from the early works of Schr?dinger to the most recent advances, including signal analysis. An integrated and modern approach to the utility of coherent states in many different branches of physics, it strikes a balance between mathematical and physical...

The History of Approximation Theory: From Euler to Bernstein
The History of Approximation Theory: From Euler to Bernstein

The problem of approximating a given quantity is one of the oldest challenges faced by mathematicians. Its increasing importance in contemporary mathematics has created an entirely new area known as Approximation Theory. The modern theory was initially developed along two divergent schools of thought: the Eastern or Russian group, employing...

Analysis and Synthesis of Logics: How to Cut and Paste Reasoning Systems (Applied Logic Series)
Analysis and Synthesis of Logics: How to Cut and Paste Reasoning Systems (Applied Logic Series)
Starting with simple examples showing the relevance of cutting and pasting logics, the monograph develops a mathematical theory of combining and decomposing logics, ranging from propositional and first-order based logics to higher-order based logics as well as to non-truth functional logics. The theory covers mechanisms for combining semantic...
Partial Differential Equations and the Finite Element Method
Partial Differential Equations and the Finite Element Method
A systematic introduction to partial differential equations and modern finite element methods for their efficient numerical solution

Partial Differential Equations and the Finite Element Method provides a much-needed, clear, and systematic introduction to modern theory of partial differential equations (PDEs) and...

Fourier Transform Methods in Finance
Fourier Transform Methods in Finance

In recent years, Fourier transform methods have emerged as one of the major methodologies for the evaluation of derivative contracts, largely due to the need to strike a balance between the extension of existing pricing models beyond the traditional Black-Scholes setting and a need to evaluate prices consistently with the market...

System Modeling and Optimization : Proceedings of the 21st IFIP TC7 Conference
System Modeling and Optimization : Proceedings of the 21st IFIP TC7 Conference
This paper initiates a mathematical theory of aeroelasticity centered
on the canonical problem of the flutter boundary — an instability endemic
to aircraft that limits attainable speed in the subsonic regime.
We develop a continuum mathematical model that exhibits the known
flutter phenomena and yet is amenable to analysis
...
Understanding Digital Signal Processing (2nd Edition)
Understanding Digital Signal Processing (2nd Edition)
Amazon.com's top-selling DSP book for 5 straight years-now fully updated!

Real-world DSP solutions for working professionals!

Understanding Digital Signal Processing, Second Edition is quite simply the best way for engineers, and other technical professionals, to master and apply DSP techniques. Lyons has updated and expanded his...

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