An Introduction to Laplace transforms and Fourier series, Dyke, P. P. G.
Новое издание
Автор: Dyke Phil Название: Introduction to Laplace Transforms and Fourier Series ISBN: 144716394X ISBN-13(EAN): 9781447163947 Издательство: Springer Цена: 4041 р. Наличие на складе: Поставка под заказ. Описание: This advanced undergraduate/graduate textbook provides an easy-to-read account of Fourier series, wavelets and Laplace transforms. It features many worked examples with all solutions provided.
Описание: This monograph gives a systematic account of the theory of vector-valued Laplace transforms, ranging from representation theory to Tauberian theorems. In parallel, the theory of linear Cauchy problems and semigroups of operators is developed completely in the spirit of Laplace transforms. Existence and uniqueness, regularity, approximation and above all asymptotic behaviour of solutions are studied. Diverse applications to partial differential equations are given. The book contains an introduction to the Bochner integral and several appendices on background material. It is addressed to students and researchers interested in evolution equations, Laplace and Fourier transforms, and functional analysis. The second edition contains detailed notes on the developments in the last decade. They include, for instance, a new characterization of well-posedness of abstract wave equations in Hilbert space due to M. Crouzeix. Moreover new quantitative results on asymptotic behaviour of Laplace transforms have been added. The references are updated and some errors have been corrected.
Автор: James Название: A Student`s Guide to Fourier Transforms ISBN: 0521176832 ISBN-13(EAN): 9780521176835 Издательство: Cambridge Academ Рейтинг: Цена: 3422 р. Наличие на складе: Поставка под заказ.
Описание: New edition of an introduction to Fourier transforms, invaluable to students in physics, electrical and electronic engineering, and computer science.
Автор: Vladimir Britanak Название: Discrete Cosine and Sine Transforms, ISBN: 0123736242 ISBN-13(EAN): 9780123736246 Издательство: Elsevier Science Рейтинг: Цена: 20790 р. Наличие на складе: Поставка под заказ.
Описание: Presents the complete set of Discrete Cosine Transform (DCT) and Discrete Sine Transform (DST) discrete trigonometric transforms, including their definitions, general mathematical properties, and relations to the optimal Karhunen-Loeve transform (KLT), with the emphasis on fast algorithms and integer approximations of DCTs and DSTs.
Автор: R. J. Beerends Название: Fourier and Laplace Transforms ISBN: 0521534410 ISBN-13(EAN): 9780521534413 Издательство: Cambridge Academ Рейтинг: Цена: 9037 р. Наличие на складе: Поставка под заказ.
Описание: This textbook presents in a unified manner the fundamentals of both continuous and discrete versions of the Fourier and Laplace transforms. These transforms play an important role in the analysis of all kinds of physical phenomena. As a link between the various applications of these transforms the authors use the theory of signals and systems, as well as the theory of ordinary and partial differential equations. The book is divided into four major parts: periodic functions and Fourier series, non-periodic functions and the Fourier integral, switched-on signals and the Laplace transform, and finally the discrete versions of these transforms, in particular the Discrete Fourier Transform together with its fast implementation, and the z-transform. This textbook is designed for self-study. It includes many worked examples, together with more than 120 exercises, and will be of great value to undergraduates and graduate students in applied mathematics, electrical engineering, physics and computer science.
Автор: Beerends Название: Fourier and Laplace Transforms ISBN: 0521806895 ISBN-13(EAN): 9780521806893 Издательство: Cambridge Academ Рейтинг: Цена: 17393 р. Наличие на складе: Поставка под заказ.
Описание: A 2003 textbook on Fourier and Laplace transforms for undergraduate and graduate students.
Описание: This monograph gives a systematic account of the theory of vector-valued Laplace transforms, ranging from representation theory to Tauberian theorems. In parallel, the theory of linear Cauchy problems and semigroups of operators is developed completely in the spirit of Laplace transforms.
Описание: Providing a concise exposition of the basic ideas of the theory of distribution and Fourier transforms and its application to partial differential equations, this book
clearly presents the ideas, precise statements of theorems, and explanations of ideas behind the proofs. Methods in which techniques are used in applications are illustrated, and many
problems are included. The book also introduces several significant recent topics, including pseudodifferential operators, wave front sets, wavelets, and quasicrystals.
Background mathematical prerequisites have been kept to a minimum, with only a knowledge of multidimensional calculus and basic complex variables needed to fully understand the
concepts in the book.
Описание: Providing a concise exposition of the basic ideas of the theory of distribution and Fourier transforms and its application to partial differential equations, this book
clearly presents the ideas, precise statements of theorems, and explanations of ideas behind the proofs. Methods in which techniques are used in applications are illustrated, and many
problems are included. The book also introduces several significant recent topics, including pseudodifferential operators, wave front sets, wavelets, and quasicrystals.
Background mathematical prerequisites have been kept to a minimum, with only a knowledge of multidimensional calculus and basic complex variables needed to fully understand the
concepts in the book.
Описание: Integral transforms, such as the Laplace and Fourier transforms, have been major tools in mathematical physics for at least two centuries. This work examines the differential-geometric constructions (Nahm) as well as the algebro-geometric approach (Fourier-Mukai functors). It also provides an introduction to the research in mathematical physics.
Автор: Huybrechts, Daniel Название: Fourier-Mukai Transforms in Algebraic Geometry ISBN: 0199296863 ISBN-13(EAN): 9780199296866 Издательство: Oxford Academ Рейтинг: Цена: 15065 р. Наличие на складе: Поставка под заказ.
Описание: This seminal text by a leading researcher is based on a course given at the Institut de Mathematiques de Jussieu. Aimed at students with a basic knowledge of algebraic geometry, the key aspect of this book is the derived category of coherent sheaves on a smooth projective variety. Full proofs are given and exercises aid the reader throughout.
Автор: Wang Название: Introduction to Orthogonal Transforms ISBN: 0521516889 ISBN-13(EAN): 9780521516884 Издательство: Cambridge Academ Рейтинг: Цена: 7942 р. Наличие на складе: Поставка под заказ.
Описание: A systematic, unified treatment of orthogonal transform methods for signal processing, data analysis and communications, this book guides the reader from mathematical theory to problem solving in practice. It examines each transform method in depth, emphasizing the common mathematical principles and essential properties of each method in terms of signal decorrelation and energy compaction. The different forms of Fourier transform, as well as the Laplace, Z-, Walsh?€“Hadamard, Slant, Haar, Karhunen?€“Lo??ve and wavelet transforms, are all covered, with discussion of how each transform method can be applied to real-world experimental problems. Numerous practical examples and end-of-chapter problems, supported by online Matlab and C code and an instructor-only solutions manual, make this an ideal resource for students and practitioners alike.
Автор: Rubin Название: Introduction to Radon Transforms ISBN: 0521854598 ISBN-13(EAN): 9780521854597 Издательство: Cambridge Academ Рейтинг: Цена: 19447 р. Наличие на складе: Поставка под заказ.
Описание: The Radon transform represents a function on a manifold by its integrals over certain submanifolds. Integral transformations of this kind have a wide range of applications in modern analysis, integral and convex geometry, medical imaging, and many other areas. Reconstruction of functions from their Radon transforms requires tools from harmonic analysis and fractional differentiation. This comprehensive introduction contains a thorough exploration of Radon transforms and related operators when the basic manifolds are the real Euclidean space, the unit sphere, and the real hyperbolic space. Radon-like transforms are discussed not only on smooth functions but also in the general context of Lebesgue spaces. Applications, open problems, and recent results are also included. The book will be useful for researchers in integral geometry, harmonic analysis, and related branches of mathematics, including applications. The text contains many examples and detailed proofs, making it accessible to graduate students and advanced undergraduates.
ООО "Логосфера " Тел:+7(495) 980-12-10 www.logobook.ru
