Learn IT - Books tags hilbert

Fundamental Mathematical Structures of Quantum Theory: Spectral Theory, Foundational Issues, Symmetries, Algebraic Formulation

Springer, 2019

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...

The History of Approximation Theory: From Euler to Bernstein

Birkhauser, 2005

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...

Hilbert-Courant

Springer, 1986

If the life of any 20th century mathematician can be said to be a history of mathematics in his time, it is that of David Hilbert. To the enchanted young mathematicians and physicists who flocked to study with him in Goettingen before and between the World Wars, he seemed mathematics personified, the very air around him"scientifically...

Challenges for Computational Intelligence (Studies in Computational Intelligence)

Springer, 2007

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...

Introduction to Hilbert Spaces with Applications

Academic Press, 2005

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...

Abstract Harmonic Analysis of Continuous Wavelet Transforms (Lecture Notes in Mathematics)

Springer, 2005

This volume discusses a construction situated at the intersection of two different mathematical fields: Abstract harmonic analysis, understood as the theory of group representations and their decomposition into irreducibles on the one hand, and wavelet (and related) transforms on the other. In a sense the volume reexamines one of the roots of...

Real Analysis: Measure Theory, Integration, and Hilbert Spaces (Princeton Lectures in Analysis) (Bk. 3)

Princeton Press, 2005

Real Analysis is the third volume in the Princeton Lectures in Analysis, a series of four textbooks that aim to present, in an integrated manner, the core areas of analysis. Here the focus is on the development of measure and integration theory, differentiation and integration, Hilbert spaces, and Hausdorff measure and fractals. This...

Analysis and Synthesis of Logics: How to Cut and Paste Reasoning Systems (Applied Logic Series)

Springer, 2008

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...

Euclidean & Non-Euclidean Geometries: Development and History

W. H. Freeman, 1993

This is the definitive presentation of the history, development and philosophical significance of non-Euclidean geometry as well as of the rigorous foundations for it and for elementary Euclidean geometry, essentially according to Hilbert. Appropriate for liberal arts students, prospective high school teachers, math. majors, and even bright high...

Basic Classes of Linear Operators

Birkhauser, 2004

"With a name like Gohberg–Goldberg–Kaashoek, it has got to be good. But let me count the ways. If you are interested in learning the basic theories of Hilbert and Banach spaces together with the well-known operators that act on them, this book is for you. It is intended for advanced undergraduate and beginning graduate students in...

Probability and Schrodinger's Mechanics

World Scientific Publishing, 2003

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...

Hilbert Space Operators in Quantum Physics (Theoretical and Mathematical Physics)

Springer, 2008

Some praise for the previous edition:

“I really enjoyed reading this work. It is very well written, by three real experts in the field. It stands quite alone....” (John R. Taylor, Professor of Physics and Presidential Teaching Scholar, University of Colorado at Boulder)

This course-tested book explains in detail the theory...

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