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.
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: Volume 1 covers the content of two typical modules in undergraduate course for mathematics: Part 1: Introductory calculus Part 2: Analysis of functions of one variable
Описание: Volume 1 covers the content of two typical modules in undergraduate course for mathematics: Part 1: Introductory calculus Part 2: Analysis of functions of one variable
Автор: Steven G. Krantz; Harold R. Parks Название: A Primer of Real Analytic Functions ISBN: 146126412X ISBN-13(EAN): 9781461264125 Издательство: Springer Рейтинг: Цена: 11878.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: It is a pleasure and a privilege to write this new edition of A Primer 0/ Real Ana- lytic Functions. The theory of real analytic functions is the wellspring of mathe- matical analysis. It is remarkable that this is the first book on the subject, and we want to keep it up to date and as correct as possible. With these thoughts in mind, we have utilized helpful remarks and criticisms from many readers and have thereby made numerous emendations. We have also added material. There is a now a treatment of the Weierstrass preparation theorem, a new argument to establish Hensel's lemma and Puiseux's theorem, a new treat- ment of Faa di Bruno's forrnula, a thorough discussion of topologies on spaces of real analytic functions, and a second independent argument for the implicit func- tion theorem. We trust that these new topics will make the book more complete, and hence a more useful reference. It is a pleasure to thank our editor, Ann Kostant of Birkhauser Boston, for mak- ing the publishing process as smooth and trouble-free as possible. We are grateful for useful communications from the readers of our first edition, and we look for- ward to further constructive feedback.
Автор: Moskowitz, Martin Paliogiannis, Fotios Название: Functions of several real variables ISBN: 981429926X ISBN-13(EAN): 9789814299268 Издательство: World Scientific Publishing Рейтинг: Цена: 19483.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Describes the basics of the geometry and topology of Euclidean space and the main topics in the theory of functions of several real variables including limits, differentiation and integration. This title discusses advanced topics, such as Morse`s lemma, Brouwer`s fixed point theorem, Picard`s theorem and the Weierstrass approximation theorem.
Автор: Vasile Ene Название: Real Functions - Current Topics ISBN: 3540600086 ISBN-13(EAN): 9783540600084 Издательство: Springer Рейтинг: Цена: 5583.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The aim of this monograph is to investigate the theory of nonabsolute integrals which covers the large number of classes of real functions illustrated with many examples. Recent advances in the theory of real functions are also included in the discussion.
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