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Realistic Life Skills Math Lessons. Math plays a vital role in our lives... every single day. In fact it is so common, that sometimes we don’t even realize we are “doing math!” These practical lessons are sure to help students master everyday math skills and help them understand “Why” this math is so important.
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The new and revised version of this comprehensive pocket reference guide is ideal for anyone who deals with physics, chemistry, mathematics, finance, and computer systems and needs to review or quickly refresh their memory of what they studied in school. It covers the fundamentals of arithmetic, algebra, geometry, trigonometry, and analytical geometry, and statistics, and presents the application ... Read more

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Control Of Nonlinear Distributed Parameter Systems

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Nonlinear Functional Analysis: A First Course

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The book discusses the basic theory of topological and variational methods used in solving nonlinear equations involving mappings between normed linear spaces. It is meant to be a primer of nonlinear analysis and is designed to be used as a text or reference book by graduate students. Frechet derivative, Brouwer fixed point theorem, Borsuk's theorem, and bifurcation theory along with their
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An Introduction to Special Functions

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The subjects treated in this book have been especially chosen to represent a bridge connecting the content of a first course on the elementary theory of analytic functions with a rigorous treatment of some of the most important special functions: the Euler gamma function, the Gauss hypergeometric function, and the Kummer confluent hypergeometric function. Such special functions are indispensable ... Read more

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Series series Springer Nature Proceedings excluding Computer Science
This book gives its readers a unique opportunity to get acquainted with new aspects of the fruitful interactions between Analysis, Geometry, Quantum Mechanics and Number Theory. The present book contains a number of contributions by specialists in these areas as an homage to the memory of the mathematician Erik Balslev and, at the same time, advancing a fascinating interdisciplinary area still ... Read more

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This book gives its readers a unique opportunity to get acquainted with new aspects of the fruitful interactions between Analysis, Geometry, Quantum Mechanics and Number Theory. The present book contains a number of contributions by specialists in these areas as an homage to the memory of the mathematician Erik Balslev and, at the same time, advancing a fascinating interdisciplinary area still
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Series series Mathematics and Statistics (R0)
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Series series Springer Nature Proceedings excluding Computer Science
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Functional Analysis: Entering Hilbert Space (Second Edition)

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This book presents basic elements of the theory of Hilbert spaces and operators on Hilbert spaces, culminating in a proof of the spectral theorem for compact, self-adjoint operators on separable Hilbert spaces. It exhibits a construction of the space of pth power Lebesgue integrable functions by a completion procedure with respect to a suitable norm in a space of continuous functions, including ... Read more

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This book presents basic elements of the theory of Hilbert spaces and operators on Hilbert spaces, culminating in a proof of the spectral theorem for compact, self-adjoint operators on separable Hilbert spaces. It exhibits a construction of the space of pth power Lebesgue integrable functions by a completion procedure with respect to a suitable norm in a space of continuous functions, including
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Geometric Aspects of Functional Analysis

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Series series Mathematics and Statistics (R0)
As in the previous Seminar Notes, the current volume reflects general trends in the study of Geometric Aspects of Functional Analysis, understood in a broad sense. A classical theme in the Local Theory of Banach Spaces which is well represented in this volume is the identification of lower-dimensional structures in high-dimensional objects. More recent applications of high-dimensionality are ... Read more

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Attractors, Shadowing, and Approximation of Abstract Semilinear Differential Equations

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The book is devoted to some branches of the theory of approximation of abstract differential equations, namely, approximation of attractors in the case of hyperbolic equilibrium points, shadowing, and approximation of time-fractional semilinear problems.In this book, the most famous methods of several urgent branches of the theory of abstract differential equations scattered in numerous journal
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This book provides an insight into the geometric aspects of the spaces of operators studied by using the notion of Birkhoff–James orthogonality. It studies the norm attainment set of an operator and its properties, the notion of which plays a very important role in the characterization of B-J orthogonality of operators. The structure of the norm attainment set is studied for Hilbert space ... Read more

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This book provides an insight into the geometric aspects of the spaces of operators studied by using the notion of Birkhoff–James orthogonality. It studies the norm attainment set of an operator and its properties, the notion of which plays a very important role in the characterization of B-J orthogonality of operators. The structure of the norm attainment set is studied for Hilbert space
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This monograph explores the history of the contribution to ballistics by the American mathematician Gilbert Ames Bliss during World War I. Drawing on the then-evolving calculus of variations, Bliss pioneered a novel technique for solving the problem of differential variations in ballistic trajectory. Called Bliss’ adjoint method, this technique was both hailed and criticized at the time: it was ... Read more

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This monograph explores the history of the contribution to ballistics by the American mathematician Gilbert Ames Bliss during World War I. Drawing on the then-evolving calculus of variations, Bliss pioneered a novel technique for solving the problem of differential variations in ballistic trajectory. Called Bliss’ adjoint method, this technique was both hailed and criticized at the time: it was
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Esercizi svolti di Analisi Reale e Funzionale

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Il presente volume è una raccolta organica di esercizi svolti di Analisi Reale e Funzionale. Le soluzioni sono esposte in dettaglio, con connessioni alla teoria. L’opera è indirizzata principalmente a studenti di Matematica, Fisica e Ingegneria, che affrontano argomenti di teoria della misura e di analisi funzionale in corsi avanzati di Analisi Matematica.Il libro è suddiviso nei seguenti capitoli ... Read more

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Representations of Lie Algebras and Partial Differential Equations

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This book provides explicit representations of finite-dimensional simple Lie algebras, related partial differential equations, linear orthogonal algebraic codes, combinatorics and algebraic varieties, summarizing the author’s works and his joint works with his former students. Further, it presents various oscillator generalizations of the classical representation theorem on harmonic polynomials, ... Read more

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This book provides explicit representations of finite-dimensional simple Lie algebras, related partial differential equations, linear orthogonal algebraic codes, combinatorics and algebraic varieties, summarizing the author’s works and his joint works with his former students. Further, it presents various oscillator generalizations of the classical representation theorem on harmonic polynomials,
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Series series Springer Nature Proceedings excluding Computer Science
This collection consists of selected scientific results stemming from the conference "Methusalem Workshop on Classical Analysis and PDEs", held at the Ghent University from 27th February 2023 to 1st March 2023. The workshop was organized by the "Ghent Analysis & PDE Center". The presented materials mainly consist of scientific results on classical analysis and problems of PDEs. In particular, ... Read more

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Übungen zur Funktionalanalysis

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Übungsbuch Signale und Systeme

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by Bernhard Rieß, Christoph Wallraff ...

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Dieses Übungsbuch befasst sich mit „Signalen und Systemen“ und es wird insbesondere auf die Methoden reelle und komplexe Fourier-Reihen, Differentialgleichungen, Faltung, Fourier- und Laplacetransformation eingegangen. Das Werk ersetzt kein Lehrbuch oder den Besuch einer Vorlesung. Doch für Studierende des Faches Elektrotechnik und Informationstechnik ist dieses Buch hervorragend zur
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Introduction to Measure Theory and Functional Analysis

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This book introduces readers to theories that play a crucial role in modern mathematics, such as integration and functional analysis, employing a unifying approach that views these two subjects as being deeply intertwined. This feature is particularly evident in the broad range of problems examined, the solutions of which are often supported by generous hints. If the material is split into two ... Read more

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This book introduces readers to theories that play a crucial role in modern mathematics, such as integration and functional analysis, employing a unifying approach that views these two subjects as being deeply intertwined. This feature is particularly evident in the broad range of problems examined, the solutions of which are often supported by generous hints. If the material is split into two
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Functional Analysis eBooks

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Functional Analysis: Entering Hilbert Space (Second Edition)

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