Автор: Freeden Название: Special Functions of Mathematical (Geo-)Physics ISBN: 3034805624 ISBN-13(EAN): 9783034805629 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The special functions to be discussed in this monograph vary greatly, depending on the measurement parameters examined (gravitation, electric and magnetic fields, deformation, climate observables, fluid flow, etc.) and on the respective field characteristic (potential field, diffusion field, wave field).
Описание: 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 been studied for more than half a century, and normal form theory for over 100 years, efficient computation in this area is still a challenge with implications for Hilbert’s 16th problem.This book introduces the most recent developments in this field and provides major advances in fundamental theory of limit cycles. Split into two parts, the first focuses on the study of limit cycles bifurcating from Hopf singularity using normal form theory with later application to Hilbert’s 16th problem, while the second considers near Hamiltonian systems using Melnikov function as the main mathematical tool. Classic topics with new results are presented in a clear and concise manner and are accompanied by the liberal use of illustrations throughout. Containing a wealth of examples and structured algorithms that are treated in detail, a good balance between theoretical and applied topics is demonstrated. By including complete Maple programs within the text, this book also enables the reader to reconstruct the majority of formulas provided, facilitating the use of concrete models for study.Through the adoption of an elementary and practical approach, this book will be of use to graduate mathematics students wishing to study the theory of limit cycles as well as scientists, across a number of disciplines, with an interest in the applications of periodic behavior.
Описание: This book has as its subject the boundary value theory of holomorphic functions in several complex variables, a topic that is just now coming to the forefront of mathematical analysis. For one variable, the topic is classical and rather well understood. In several variables, the necessary understanding of holomorphic functions via partial different
Автор: Srivastava, H. M. Название: Zeta and q-Zeta Functions and Associated Series and Integrals ISBN: 0323165265 ISBN-13(EAN): 9780323165266 Издательство: Elsevier Science Рейтинг: Цена: 18275.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Zeta and q-Zeta Functions and Associated Series and Integrals is a thoroughly revised, enlarged and updated version of Series Associated with the Zeta and Related Functions. Many of the chapters and sections of the book have been significantly modified or rewritten, and a new chapter on the theory and applications of the basic (or q-) extensions of various special functions is included. This book will be invaluable because it covers not only detailed and systematic presentations of the theory and applications of the various methods and techniques used in dealing with many different classes of series and integrals associated with the Zeta and related functions, but stimulating historical accounts of a large number of problems and well-classified tables of series and integrals.
Автор: Olli Tammi Название: Extremum Problems for Bounded Univalent Functions II ISBN: 3540112006 ISBN-13(EAN): 9783540112006 Издательство: Springer Рейтинг: Цена: 3492.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Marvin Rosenblum; James Rovnyak Название: Topics in Hardy Classes and Univalent Functions ISBN: 376435111X ISBN-13(EAN): 9783764351113 Издательство: Springer Рейтинг: Цена: 7959.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Chapters 1-6 give the function-theoretic background to Hardy Classes and Operator Theory, Oxford Mathematical Monographs, Oxford University Press, New York, 1985. The theory of Hardy and Nevanlinna classes is derived from proper- ties of harmonic majorants of subharmonic functions (Chapters 3 and 4).
Автор: Marvin Rosenblum; James Rovnyak Название: Topics in Hardy Classes and Univalent Functions ISBN: 303489662X ISBN-13(EAN): 9783034896627 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Chapters 1-6 give the function-theoretic background to Hardy Classes and Operator Theory, Oxford Mathematical Monographs, Oxford University Press, New York, 1985. The theory of Hardy and Nevanlinna classes is derived from proper- ties of harmonic majorants of subharmonic functions (Chapters 3 and 4).
Автор: T. Parthasarathy Название: On Global Univalence Theorems ISBN: 3540119884 ISBN-13(EAN): 9783540119883 Издательство: Springer Рейтинг: Цена: 3487.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Michel L. Lapidus; Goran Radunovi?; Darko ?ubrini? Название: Fractal Zeta Functions and Fractal Drums ISBN: 3319447041 ISBN-13(EAN): 9783319447049 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 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.
Автор: Viola Название: An Introduction to Special Functions ISBN: 3319413449 ISBN-13(EAN): 9783319413440 Издательство: Springer Рейтинг: Цена: 7965.00 р. Наличие на складе: Поставка под заказ.
Описание: 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 tools in 'higher calculus' and are frequently encountered in almost all branches of pure and applied mathematics. The only knowledge assumed on the part of the reader is an understanding of basic concepts to the level of an elementary course covering the residue theorem, Cauchy's integral formula, the Taylor and Laurent series expansions, poles and essential singularities, branch points, etc. The book addresses the needs of advanced undergraduate and graduate students in mathematics or physics.
Описание: Originally published in 1924, this book presents an account regarding the direct numerical calculation of elliptic functions and integrals. Notes are incorporated and an appendix section containing examples is also included. This book will be of value to anyone with an interest in the history of mathematics.
This is the first introductory book on multiple zeta functions and multiple polylogarithms which are the generalizations of the Riemann zeta function and the classical polylogarithms, respectively, to the multiple variable setting. It contains all the basic concepts and the important properties of these functions and their special values. This book is aimed at graduate students, mathematicians and physicists who are interested in this current active area of research.
The book will provide a detailed and comprehensive introduction to these objects, their fascinating properties and interesting relations to other mathematical subjects, and various generalizations such as their q-analogs and their finite versions (by taking partial sums modulo suitable prime powers). Historical notes and exercises are provided at the end of each chapter.
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