Zuhair Nashed's Books

Qualitative Theory of Dynamical Systems

By: Anthony Michel,Anthony Wang,Bo Hu,Zuhair Nashed,Earl Taft

Write a review Read reviews Take a Quiz Solve Book Puzzle

Qualitative Theory of Dynamical Systems

By: Anthony Michel,Anthony Wang,Bo Hu,Zuhair Nashed,Earl Taft

Illuminates the most important results of the Lyapunov and Lagrange stability theory for a general class of dynamical systems by developing topics in a metric space independantly of equations, inequalities, or inclusions. Applies the general theory to specific classes of equations. Presents new and expanded material on the stability analysis of hybrid dynamical systems and dynamical systems with discontinuous dynamics.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

738

Publisher

CRC Press

Published Date

ISBN 10

0203908295

ISBN 13

9780203908297

Lattice Point Identities and Shannon-Type Sampling

By: Willi Freeden,M. Zuhair Nashed

Write a review Read reviews Take a Quiz Solve Book Puzzle

Lattice Point Identities and Shannon-Type Sampling

By: Willi Freeden,M. Zuhair Nashed

Lattice Point Identities and Shannon-Type Sampling demonstrates that significant roots of many recent facets of Shannon's sampling theorem for multivariate signals rest on basic number-theoretic results. This book leads the reader through a research excursion, beginning from the Gaussian circle problem of the early nineteenth century, via the classical Hardy-Landau lattice point identity and the Hardy conjecture of the first half of the twentieth century, and the Shannon sampling theorem (its variants, generalizations and the fascinating stories about the cardinal series) of the second half of the twentieth century. The authors demonstrate how all these facets have resulted in new multivariate extensions of lattice point identities and Shannon-type sampling procedures of high practical applicability, thereby also providing a general reproducing kernel Hilbert space structure of an associated Paley-Wiener theory over (potato-like) bounded regions (cf. the cover illustration of the geoid), as well as the whole Euclidean space. All in all, the context of this book represents the fruits of cross-fertilization of various subjects, namely elliptic partial differential equations, Fourier inversion theory, constructive approximation involving Euler and Poisson summation formulas, inverse problems reflecting the multivariate antenna problem, and aspects of analytic and geometric number theory. Features: New convergence criteria for alternating series in multi-dimensional analysis Self-contained development of lattice point identities of analytic number theory Innovative lattice point approach to Shannon sampling theory Useful for students of multivariate constructive approximation, and indeed anyone interested in the applicability of signal processing to inverse problems.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

287

Publisher

CRC Press

Published Date

ISBN 10

1000757749

ISBN 13

9781000757743

Inverse Problems, Image Analysis, and Medical Imaging

AMS Special Session on Interaction of Inverse Problems and Image Analysis, January 10-13, 2001, New Orleans, Louisiana

By: M. Zuhair Nashed,Otmar Scherzer

Write a review Read reviews Take a Quiz Solve Book Puzzle

Inverse Problems, Image Analysis, and Medical Imaging

AMS Special Session on Interaction of Inverse Problems and Image Analysis, January 10-13, 2001, New Orleans, Louisiana

By: M. Zuhair Nashed,Otmar Scherzer

This book contains the proceedings of the Special Session, Interaction of Inverse Problems and Image Analysis, held at the January 2001 meeting of the AMS in New Orleans, LA. The common thread among inverse problems, signal analysis, and image analysis is a canonical problem: recovering an object (function, signal, picture) from partial or indirect information about the object. Both inverse problems and imaging science have emerged in recent years as interdisciplinary research fields with profound applications in many areas of science, engineering, technology, and medicine. Research in inverse problems and image processing shows rich interaction with several areas of mathematics and strong links to signal processing, variational problems, applied harmonic analysis, and computational mathematics. This volume contains carefully referred and edited original research papers and high-level survey papers that provide overview and perspective on the interaction of inverse problems, image analysis, and medical imaging. The book is suitable for graduate students and researchers interested in signal and image processing and medical imaging.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

322

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821829793

ISBN 13

9780821829790

Spherical Sampling

By: Willi Freeden,M. Zuhair Nashed,Michael Schreiner

Write a review Read reviews Take a Quiz Solve Book Puzzle

Spherical Sampling

By: Willi Freeden,M. Zuhair Nashed,Michael Schreiner

This book presents, in a consistent and unified overview, results and developments in the field of today ́s spherical sampling, particularly arising in mathematical geosciences. Although the book often refers to original contributions, the authors made them accessible to (graduate) students and scientists not only from mathematics but also from geosciences and geoengineering. Building a library of topics in spherical sampling theory it shows how advances in this theory lead to new discoveries in mathematical, geodetic, geophysical as well as other scientific branches like neuro-medicine. A must-to-read for everybody working in the area of spherical sampling.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

591

Publisher

Birkhäuser

Published Date

ISBN 10

3319714589

ISBN 13

9783319714585

Frontiers in Interpolation and Approximation

By: N. K. Govil,H. N. Mhaskar,Ram N. Mohapatra,Zuhair Nashed,J. Szabados

Write a review Read reviews Take a Quiz Solve Book Puzzle

Frontiers in Interpolation and Approximation

By: N. K. Govil,H. N. Mhaskar,Ram N. Mohapatra,Zuhair Nashed,J. Szabados

Dedicated to the well-respected research mathematician Ambikeshwar Sharma, Frontiers in Interpolation and Approximation explores approximation theory, interpolation theory, and classical analysis. Written by authoritative international mathematicians, this book presents many important results in classical analysis, wavelets, and interpolation theory. Some topics covered are Markov inequalities for multivariate polynomials, analogues of Chebyshev and Bernstein inequalities for multivariate polynomials, various measures of the smoothness of functions, and the equivalence of Hausdorff continuity and pointwise Hausdorff-Lipschitz continuity of a restricted center multifunction. The book also provides basic facts about interpolation, discussing classes of entire functions such as algebraic polynomials, trigonometric polynomials, and nonperiodic transcendental entire functions. Containing both original research and comprehensive surveys, this book provides researchers and graduate students with important results of interpolation and approximation.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

476

Publisher

CRC Press

Published Date

ISBN 10

1420011383

ISBN 13

9781420011388

Inverse Magnetometry

Mollifier Magnetization Distribution from Geomagnetic Field Data

By: Christian Blick,Willi Freeden,M. Zuhair Nashed,Helga Nutz,Michael Schreiner

Write a review Read reviews Take a Quiz Solve Book Puzzle

Inverse Magnetometry

Mollifier Magnetization Distribution from Geomagnetic Field Data

By: Christian Blick,Willi Freeden,M. Zuhair Nashed,Helga Nutz,Michael Schreiner

This monograph presents the geoscientific context arising in decorrelative geomagnetic exploration. First, an insight into the current state of research is given by reducing magnetometry to mathematically accessible, and thus calculable, decorrelated models. In this way, various questions and problems of magnetometry are made available to a broad scientific audience and the exploration industry. New stimuli are given, and innovative ways of modeling geologic strata by mollifier magnetometric techniques are shown. Potential data sets primarily of terrestrial origin constitute the main data basis in the book. For deep geology, the geomathematical decorrelation methods are designed in such a way that depth information (e.g., in boreholes) may be canonically entered. Overall, this book provides pioneering and ground-breaking innovative mathematical knowledge as a transfer methodology from the “reality space” of magnetometric measurements into the “virtual space” of mathematical-numerical modeling structures and mollifier solutions with novel geological application areas. It pursues a double goal: On the one hand, it represents a geoscientific set of rules for today's geoengineering, interested in the application of innovative modelling and simulation techniques to promising data sets and structures occurring in geomagnetics. On the other hand, the book serves as a collection of current material in Applied Mathematics to offer alternative methodologies in the theory of inverse problems.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

114

Publisher

Springer Nature

Published Date

ISBN 10

303079508X

ISBN 13

9783030795085

Spherical Sampling

By: Willi Freeden,M. Zuhair Nashed,Michael Schreiner

Write a review Read reviews Take a Quiz Solve Book Puzzle

Spherical Sampling

By: Willi Freeden,M. Zuhair Nashed,Michael Schreiner

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

591

Publisher

Birkhäuser

Published Date

ISBN 10

3319714589

ISBN 13

9783319714585

Recovery Methodologies: Regularization and Sampling

By: Willi Freeden,M. Zuhair Nashed

Write a review Read reviews Take a Quiz Solve Book Puzzle

Recovery Methodologies: Regularization and Sampling

By: Willi Freeden,M. Zuhair Nashed

The goal of this book is to introduce the reader to methodologies in recovery problems for objects, such as functions and signals, from partial or indirect information. The recovery of objects from a set of data demands key solvers of inverse and sampling problems. Until recently, connections between the mathematical areas of inverse problems and sampling were rather tenuous. However, advances in several areas of mathematical research have revealed deep common threads between them, which proves that there is a serious need for a unifying description of the underlying mathematical ideas and concepts. Freeden and Nashed present an integrated approach to resolution methodologies from the perspective of both these areas. Researchers in sampling theory will benefit from learning about inverse problems and regularization methods, while specialists in inverse problems will gain a better understanding of the point of view of sampling concepts. This book requires some basic knowledge of functional analysis, Fourier theory, geometric number theory, constructive approximation, and special function theory. By avoiding extreme technicalities and elaborate proof techniques, it is an accessible resource for students and researchers not only from applied mathematics, but also from all branches of engineering and science.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

505

Publisher

American Mathematical Society

Published Date

ISBN 10

1470473453

ISBN 13

9781470473457

Lattice Point Identities and Shannon-Type Sampling

By: Willi Freeden,M. Zuhair Nashed

Write a review Read reviews Take a Quiz Solve Book Puzzle

Lattice Point Identities and Shannon-Type Sampling

By: Willi Freeden,M. Zuhair Nashed

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

325

Publisher

CRC Press

Published Date

ISBN 10

1000756521

ISBN 13

9781000756524

Integral Methods in Science and Engineering

Theoretical and Practical Aspects

By: M. Zuhair Nashed,D. Rollins

Write a review Read reviews Take a Quiz Solve Book Puzzle

Integral Methods in Science and Engineering

Theoretical and Practical Aspects

By: M. Zuhair Nashed,D. Rollins

The quantitative and qualitative study of the physical world makes use of many mathematical models governed by a great diversity of ordinary, partial differential, integral, and integro-differential equations. An essential step in such investigations is the solution of these types of equations, which sometimes can be performed analytically, while at other times only numerically. This edited, self-contained volume presents a series of state-of-the-art analytic and numerical methods of solution constructed for important problems arising in science and engineering, all based on the powerful operation of (exact or approximate) integration. The volume may be used as a reference guide and a practical resource. It is suitable for researchers and practitioners in applied mathematics, physics, and mechanical and electrical engineering, as well as graduate students in these disciplines.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

311

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0817644504

ISBN 13

9780817644505

An Invitation to Geomathematics

By: Willi Freeden,Clemens Heine,M. Zuhair Nashed

Write a review Read reviews Take a Quiz Solve Book Puzzle

An Invitation to Geomathematics

By: Willi Freeden,Clemens Heine,M. Zuhair Nashed

The authors introduce geomathematics as an active research area to a wider audience. Chapter 1 presents an introduction to the Earth as a system to apply scientific methods. Emphasis is laid on transfers from virtual models to reality and vice versa. In the second chapter geomathematics is introduced as a new scientific area which nevertheless has its roots in antiquity. The modern conception of geomathematics is outlined from different points of view and its challenging nature is described as well as its interdisciplinarity. Geomathematics is shown as the bridge between the real world and the virtual world. The complex mathematical tools are shown from a variety of fields necessary to tackle geoscientific problems in the mathematical language. Chapter 3 contains some exemplary applications as novel exploration methods. Particular importance is laid on the change of language when it comes to translate measurements to mathematical models. New solution methods like the multiscale mollifier technique are presented. Further applications discussed are aspects of reflection seismics. Chapter 4 is devoted to the short description of recent activities in geomathematics. The Appendix (Chapter 5) is devoted to the GEM – International Journal on Geomathematics founded ten years ago. Besides a detailed structural analysis of the editorial goals an index of all papers published in former issues is given.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

140

Publisher

Springer

Published Date

ISBN 10

3030130541

ISBN 13

9783030130541

Inverse Problems, Image Analysis, and Medical Imaging

AMS Special Session on Interaction of Inverse Problems and Image Analysis, January 10-13, 2001, New Orleans, Louisiana

By: M. Zuhair Nashed,Otmar Scherzer

Write a review Read reviews Take a Quiz Solve Book Puzzle

Inverse Problems, Image Analysis, and Medical Imaging

AMS Special Session on Interaction of Inverse Problems and Image Analysis, January 10-13, 2001, New Orleans, Louisiana

By: M. Zuhair Nashed,Otmar Scherzer

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

322

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821829793

ISBN 13

9780821829790

Book's by Zuhair Nashed

Qualitative Theory of Dynamical Systems

Qualitative Theory of Dynamical Systems

Lattice Point Identities and Shannon-Type Sampling

Lattice Point Identities and Shannon-Type Sampling

Inverse Problems, Image Analysis, and Medical Imaging

Inverse Problems, Image Analysis, and Medical Imaging

Spherical Sampling

Spherical Sampling

Frontiers in Interpolation and Approximation

Frontiers in Interpolation and Approximation

Inverse Magnetometry

Inverse Magnetometry

Spherical Sampling

Spherical Sampling

Recovery Methodologies: Regularization and Sampling

Recovery Methodologies: Regularization and Sampling

Lattice Point Identities and Shannon-Type Sampling

Lattice Point Identities and Shannon-Type Sampling

Integral Methods in Science and Engineering

Integral Methods in Science and Engineering

An Invitation to Geomathematics

An Invitation to Geomathematics

Inverse Problems, Image Analysis, and Medical Imaging

Inverse Problems, Image Analysis, and Medical Imaging

Username

Password

Username

Password

Password again

Birthday

Email