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Spacecraft Momentum Control Systems

by Frederick A. Leve, Brian J. Hamilton, Mason A. Peck ...

Series series Engineering (R0)
The goal of this book is to serve both as a practical technical reference and a resource for gaining a fuller understanding of the state of the art of spacecraft momentum control systems, specifically looking at control moment gyroscopes (CMGs). As a result, the subject matter includes theory, technology, and systems engineering. The authors combine material on system-level architecture of ... Read more

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The goal of this book is to serve both as a practical technical reference and a resource for gaining a fuller understanding of the state of the art of spacecraft momentum control systems, specifically looking at control moment gyroscopes (CMGs). As a result, the subject matter includes theory, technology, and systems engineering. The authors combine material on system-level architecture of
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The Mathematics of Medical Imaging

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Series series Mathematics and Statistics (R0)
The basic mathematics of computerized tomography, the CT scan, are aptly presented for an audience of undergraduates in mathematics and engineering. Assuming no prior background in advanced mathematical analysis, topics such as the Fourier transform, sampling, and discrete approximation algorithms are introduced from scratch and are developed within the context of medical imaging. A chapter on ... Read more

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The basic mathematics of computerized tomography, the CT scan, are aptly presented for an audience of undergraduates in mathematics and engineering. Assuming no prior background in advanced mathematical analysis, topics such as the Fourier transform, sampling, and discrete approximation algorithms are introduced from scratch and are developed within the context of medical imaging. A chapter on
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Counting with Symmetric Functions

by Jeffrey Remmel, Anthony Mendes ...

Series series Mathematics and Statistics (R0)
This monograph provides a self-contained introduction to symmetric functions and their use in enumerative combinatorics. It is the first book to explore many of the methods and results that the authors present. Numerous exercises are included throughout, along with full solutions, to illustrate concepts and also highlight many interesting mathematical ideas.The text begins by introducing ... Read more

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This monograph provides a self-contained introduction to symmetric functions and their use in enumerative combinatorics. It is the first book to explore many of the methods and results that the authors present. Numerous exercises are included throughout, along with full solutions, to illustrate concepts and also highlight many interesting mathematical ideas.The text begins by introducing
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The Dynamics of Nonlinear Reaction-Diffusion Equations with Small Lévy Noise

by Arnaud Debussche, Michael Högele, Peter Imkeller ...

Series series Mathematics and Statistics (R0)
This work considers a small random perturbation of alpha-stable jump type nonlinear reaction-diffusion equations with Dirichlet boundary conditions over an interval. It has two stable points whose domains of attraction meet in a separating manifold with several saddle points. Extending a method developed by Imkeller and Pavlyukevich it proves that in contrast to a Gaussian perturbation, the ... Read more

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This work considers a small random perturbation of alpha-stable jump type nonlinear reaction-diffusion equations with Dirichlet boundary conditions over an interval. It has two stable points whose domains of attraction meet in a separating manifold with several saddle points. Extending a method developed by Imkeller and Pavlyukevich it proves that in contrast to a Gaussian perturbation, the
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Interpolation of Operators

by Colin Bennett, Robert C. Sharpley ...

Series Book 129 - Pure and Applied Mathematics
This book presents interpolation theory from its classical roots beginning with Banach function spaces and equimeasurable rearrangements of functions, providing a thorough introduction to the theory of rearrangement-invariant Banach function spaces. At the same time, however, it clearly shows how the theory should be generalized in order to accommodate the more recent and powerful applications. ... Read more

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This book presents interpolation theory from its classical roots beginning with Banach function spaces and equimeasurable rearrangements of functions, providing a thorough introduction to the theory of rearrangement-invariant Banach function spaces. At the same time, however, it clearly shows how the theory should be generalized in order to accommodate the more recent and powerful applications.
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Nonelliptic Partial Differential Equations

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by David S. Tartakoff ...

Series series Mathematics and Statistics (R0)
This book provides a very readable description of a technique, developed by the author years ago but as current as ever, for proving that solutions to certain (non-elliptic) partial differential equations only have real analytic solutions when the data are real analytic (locally). The technique is completely elementary but relies on a construction, a kind of a non-commutative power series, to ... Read more

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This book provides a very readable description of a technique, developed by the author years ago but as current as ever, for proving that solutions to certain (non-elliptic) partial differential equations only have real analytic solutions when the data are real analytic (locally). The technique is completely elementary but relies on a construction, a kind of a non-commutative power series, to
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Measure, Integral, Derivative

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by Sergei Ovchinnikov ...

Series series Mathematics and Statistics (R0)
This classroom-tested text is intended for a one-semester course in Lebesgue’s theory. With over 180 exercises, the text takes an elementary approach, making it easily accessible to both upper-undergraduate- and lower-graduate-level students. The three main topics presented are measure, integration, and differentiation, and the only prerequisite is a course in elementary real analysis.In order to ... Read more

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This classroom-tested text is intended for a one-semester course in Lebesgue’s theory. With over 180 exercises, the text takes an elementary approach, making it easily accessible to both upper-undergraduate- and lower-graduate-level students. The three main topics presented are measure, integration, and differentiation, and the only prerequisite is a course in elementary real analysis.In order to
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Normal Forms, Melnikov Functions and Bifurcations of Limit Cycles

by Maoan Han, Pei Yu ...

Series series Mathematics and Statistics (R0)
Dynamical system theory has developed rapidly over the past fifty years. It is a subject upon which the theory of limit cycles has a significant impact for both theoretical advances and practical solutions to problems. Hopf bifurcation from a center or a focus is integral to the theory of bifurcation of limit cycles, for which normal form theory is a central tool. Although Hopf bifurcation has ... Read more

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Dynamical system theory has developed rapidly over the past fifty years. It is a subject upon which the theory of limit cycles has a significant impact for both theoretical advances and practical solutions to problems. Hopf bifurcation from a center or a focus is integral to the theory of bifurcation of limit cycles, for which normal form theory is a central tool. Although Hopf bifurcation has
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Walter Gautschi, Volume 1

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Edited by Claude Brezinski, Ahmed Sameh ...

Series series Mathematics and Statistics (R0)
Walter Gautschi has written extensively on topics ranging from special functions, quadrature and orthogonal polynomials to difference and differential equations, software implementations, and the history of mathematics. He is world renowned for his pioneering work in numerical analysis and constructive orthogonal polynomials, including a definitive textbook in the former, and a monograph in the ... Read more

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Walter Gautschi has written extensively on topics ranging from special functions, quadrature and orthogonal polynomials to difference and differential equations, software implementations, and the history of mathematics. He is world renowned for his pioneering work in numerical analysis and constructive orthogonal polynomials, including a definitive textbook in the former, and a monograph in the
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Topics And Methods In Q-series

by James Mc Laughlin ...

Series Book 8 - Monographs In Number Theory
The book provides a comprehensive introduction to the many aspects of the subject of basic hypergeometric series. The book essentially assumes no prior knowledge but eventually provides a comprehensive introduction to many important topics. After developing a treatment of historically important topics such as the q-binomial theorem, Heine's transformation, the Jacobi triple product identity, ... Read more

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The book provides a comprehensive introduction to the many aspects of the subject of basic hypergeometric series. The book essentially assumes no prior knowledge but eventually provides a comprehensive introduction to many important topics. After developing a treatment of historically important topics such as the q-binomial theorem, Heine's transformation, the Jacobi triple product identity,
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Fractal Zeta Functions and Fractal Drums

Higher-Dimensional Theory of Complex Dimensions

by Michel L. Lapidus, Goran Radunović, Darko Žubrinić ...

Series series Mathematics and Statistics (R0)
This monograph gives a state-of-the-art and accessible treatment of a new general higher-dimensional theory of complex dimensions, valid for arbitrary bounded subsets of Euclidean spaces, as well as for their natural generalization, relative fractal drums. It provides a significant extension of the existing theory of zeta functions for fractal strings to fractal sets and arbitrary bounded sets in ... Read more

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This monograph gives a state-of-the-art and accessible treatment of a new general higher-dimensional theory of complex dimensions, valid for arbitrary bounded subsets of Euclidean spaces, as well as for their natural generalization, relative fractal drums. It provides a significant extension of the existing theory of zeta functions for fractal strings to fractal sets and arbitrary bounded sets in
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Algebraic Structures In Integrability: Foreword By Victor Kac

by Vladimir V Sokolov ...

Relationships of the theory of integrable systems with various branches of mathematics are extremely deep and diverse. On the other hand, the most fundamental exactly integrable systems often have applications in theoretical physics. Therefore, many mathematicians and physicists are interested in integrable models.The book is intelligible to graduate and PhD students and can serve as an ... Read more

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Relationships of the theory of integrable systems with various branches of mathematics are extremely deep and diverse. On the other hand, the most fundamental exactly integrable systems often have applications in theoretical physics. Therefore, many mathematicians and physicists are interested in integrable models.The book is intelligible to graduate and PhD students and can serve as an
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Lebesgue Points and Summability of Higher Dimensional Fourier Series

by Ferenc Weisz ...

Series series Mathematics and Statistics (R0)
This monograph presents the summability of higher dimensional Fourier series, and generalizes the concept of Lebesgue points. Focusing on Fejér and Cesàro summability, as well as theta-summation, readers will become more familiar with a wide variety of summability methods. Within the theory of higher dimensional summability of Fourier series, the book also provides a much-needed simple proof of ... Read more

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This monograph presents the summability of higher dimensional Fourier series, and generalizes the concept of Lebesgue points. Focusing on Fejér and Cesàro summability, as well as theta-summation, readers will become more familiar with a wide variety of summability methods. Within the theory of higher dimensional summability of Fourier series, the book also provides a much-needed simple proof of
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Notes On The Binomial Transform: Theory And Table With Appendix On Stirling Transform

by Khristo N Boyadzhiev ...

The binomial transform is a discrete transformation of one sequence into another with many interesting applications in combinatorics and analysis. This volume is helpful to researchers interested in enumerative combinatorics, special numbers, and classical analysis. A valuable reference, it can also be used as lecture notes for a course in binomial identities, binomial transforms and Euler series ... Read more

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The binomial transform is a discrete transformation of one sequence into another with many interesting applications in combinatorics and analysis. This volume is helpful to researchers interested in enumerative combinatorics, special numbers, and classical analysis. A valuable reference, it can also be used as lecture notes for a course in binomial identities, binomial transforms and Euler series
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Nonlocal Perimeter, Curvature and Minimal Surfaces for Measurable Sets

by José M. Mazón, Julio Daniel Rossi, J. Julián Toledo ...

Series series Mathematics and Statistics (R0)
This book highlights the latest developments in the geometry of measurable sets, presenting them in simple, straightforward terms. It addresses nonlocal notions of perimeter and curvature and studies in detail the minimal surfaces associated with them.These notions of nonlocal perimeter and curvature are defined on the basis of a non-singular kernel. Further, when the kernel is appropriately ... Read more

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This book highlights the latest developments in the geometry of measurable sets, presenting them in simple, straightforward terms. It addresses nonlocal notions of perimeter and curvature and studies in detail the minimal surfaces associated with them.These notions of nonlocal perimeter and curvature are defined on the basis of a non-singular kernel. Further, when the kernel is appropriately
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Attraction in Numerical Minimization

Iteration Mappings, Attractors, and Basins of Attraction

by Adam B. Levy ...

Series series Mathematics and Statistics (R0)
Numerical minimization of an objective function is analyzed in this book to understand solution algorithms for optimization problems. Multiset-mappings are introduced to engineer numerical minimization as a repeated application of an iteration mapping. Ideas from numerical variational analysis are extended to define and explore notions of continuity and differentiability of multiset-mappings, and ... Read more

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Numerical minimization of an objective function is analyzed in this book to understand solution algorithms for optimization problems. Multiset-mappings are introduced to engineer numerical minimization as a repeated application of an iteration mapping. Ideas from numerical variational analysis are extended to define and explore notions of continuity and differentiability of multiset-mappings, and
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Infinitesimalrechnung

Analysis mit hyperreellen Zahlen

by Peter Baumann, Thomas Kirski ...

Series series Life Science and Basic Disciplines (German Language)
In diesem Buch erfahren Sie, wie die Differential- und Integralrechnung schon nach einem einfachen Einstieg mit Hilfe infinitesimaler und infiniter Zahlen und ohne Grenzwertprozesse erlernt werden kann. Sie folgen dabei den intuitiven Vorstellungen der Urväter der Analysis, allerdings in logisch einwandfreier Weise.Dies ist möglich, seit Abraham Robinson in den 1960er-Jahren gezeigt hat, dass die ... Read more

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In diesem Buch erfahren Sie, wie die Differential- und Integralrechnung schon nach einem einfachen Einstieg mit Hilfe infinitesimaler und infiniter Zahlen und ohne Grenzwertprozesse erlernt werden kann. Sie folgen dabei den intuitiven Vorstellungen der Urväter der Analysis, allerdings in logisch einwandfreier Weise.Dies ist möglich, seit Abraham Robinson in den 1960er-Jahren gezeigt hat, dass die
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Topics in Fractional Differential Equations

by Saïd Abbas, Mouffak Benchohra, Gaston M. N'Guérékata ...

Series series Mathematics and Statistics (R0)
Topics in Fractional Differential Equations is devoted to the existence and uniqueness of solutions for various classes of Darboux problems for hyperbolic differential equations or inclusions involving the Caputo fractional derivative. Fractional calculus generalizes the integrals and derivatives to non-integer orders. During the last decade, fractional calculus was found to play a fundamental ... Read more

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Topics in Fractional Differential Equations is devoted to the existence and uniqueness of solutions for various classes of Darboux problems for hyperbolic differential equations or inclusions involving the Caputo fractional derivative. Fractional calculus generalizes the integrals and derivatives to non-integer orders. During the last decade, fractional calculus was found to play a fundamental
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Convex Analysis in Polynomial Spaces with Applications

by Domingo García, Mingu Jung, Manuel Maestre, Gustavo A. Muñoz Fernández, Juan B. Seoane Sepúlveda ...

Series series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
Convex Analysis in Polynomial Spaces with Applications is intended to serve a broad audience of undergraduate and graduate students, junior and senior researchers, and as a general self-study guide for anyone who wishes to get acquainted with geometry of Banach spaces of polynomials with applications. This text is specifically designed to be appealing and accessible to the reader, and provides a ... Read more

222,27 €

Convex Analysis in Polynomial Spaces with Applications is intended to serve a broad audience of undergraduate and graduate students, junior and senior researchers, and as a general self-study guide for anyone who wishes to get acquainted with geometry of Banach spaces of polynomials with applications. This text is specifically designed to be appealing and accessible to the reader, and provides a
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Strange Functions in Real Analysis

by Alexander Kharazishvili ...

Strange Functions in Real Analysis, Third Edition differs from the previous editions in that it includes five new chapters as well as two appendices. More importantly, the entire text has been revised and contains more detailed explanations of the presented material. In doing so, the book explores a number of important examples and constructions of pathological functions.After introducing basic ... Read more

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Strange Functions in Real Analysis, Third Edition differs from the previous editions in that it includes five new chapters as well as two appendices. More importantly, the entire text has been revised and contains more detailed explanations of the presented material. In doing so, the book explores a number of important examples and constructions of pathological functions.After introducing basic
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Hardy Spaces

by Nikolaï Nikolski ...

Translated by Danièle Gibbons, Greg Gibbons ...

Series Book 179 - Cambridge Studies in Advanced Mathematics
The theory of Hardy spaces is a cornerstone of modern analysis. It combines techniques from functional analysis, the theory of analytic functions and Lesbesgue integration to create a powerful tool for many applications, pure and applied, from signal processing and Fourier analysis to maximum modulus principles and the Riemann zeta function. This book, aimed at beginning graduate students, ... Read more

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The theory of Hardy spaces is a cornerstone of modern analysis. It combines techniques from functional analysis, the theory of analytic functions and Lesbesgue integration to create a powerful tool for many applications, pure and applied, from signal processing and Fourier analysis to maximum modulus principles and the Riemann zeta function. This book, aimed at beginning graduate students,
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Die Erfindung des Urknalls

Theorie, Big-Bang und Ur-Atom

by Lutz Spilker ...

Was, wenn der Urknall weniger eine unumstößliche Wahrheit als vielmehr eine gedankliche ›Erfindung‹ ist? Eine Theorie, die zwar wissenschaftlich fundiert wirkt, aber ebenso den tiefen Wunsch des Menschen nach einem Anfang, einem Ursprung bedient? Die Erfindung des Urknalls nimmt Sie mit auf eine Reise durch die Geschichte und Entwicklung der modernen Kosmologie, stellt kritische Fragen und ... Read more

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Was, wenn der Urknall weniger eine unumstößliche Wahrheit als vielmehr eine gedankliche ›Erfindung‹ ist? Eine Theorie, die zwar wissenschaftlich fundiert wirkt, aber ebenso den tiefen Wunsch des Menschen nach einem Anfang, einem Ursprung bedient? Die Erfindung des Urknalls nimmt Sie mit auf eine Reise durch die Geschichte und Entwicklung der modernen Kosmologie, stellt kritische Fragen und
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Dynamics of Partial Differential Equations

by C. Eugene Wayne, Michael I. Weinstein ...

Series series Mathematics and Statistics (R0)
This book contains two review articles on the dynamics of partial differential equations that deal with closely related topics but can be read independently.Wayne reviews recent results on the global dynamics of the two-dimensional Navier-Stokes equations. This system exhibits stable vortex solutions: the topic of Wayne's contribution is how solutions that start from arbitrary initial conditions ... Read more

38,15 €

This book contains two review articles on the dynamics of partial differential equations that deal with closely related topics but can be read independently.Wayne reviews recent results on the global dynamics of the two-dimensional Navier-Stokes equations. This system exhibits stable vortex solutions: the topic of Wayne's contribution is how solutions that start from arbitrary initial conditions
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nonlinear analysis and applications

by S.P. Singh, J.H. Burry ...

Series series Lecture Notes in Pure and Applied Mathematics
This book contains lecture notes in pure and applied mathematics from the proceedings of an International Conference on Nonlinear Analysis and Applications, held at Memorial University of Newfoundland in June 1981. It includes information on fractional calculus and the Stieltjes transform. ... Read more

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This book contains lecture notes in pure and applied mathematics from the proceedings of an International Conference on Nonlinear Analysis and Applications, held at Memorial University of Newfoundland in June 1981. It includes information on fractional calculus and the Stieltjes transform.
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Fractal Zeta Functions and Fractal Drums

Algebraic Structures In Integrability: Foreword By Victor Kac

Lebesgue Points and Summability of Higher Dimensional Fourier Series

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Nonlocal Perimeter, Curvature and Minimal Surfaces for Measurable Sets

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Convex Analysis in Polynomial Spaces with Applications

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