Описание: Classic three-volume study. Volume 1 covers applications to geometry, expansion in series, definite integrals, and derivatives and differentials. Volume 2 explores functions of a complex variable and differential equations. Volume 3 surveys variations of solutions and partial differential equations of the second order and integral equations and calculus of variations.
Автор: Dover, Название: B&N Rack Expansion New Box 2 ISBN: 0486466310 ISBN-13(EAN): 9780486466316 Издательство: Dover Цена: 13777 р. Наличие на складе: Поставка под заказ.
Описание: Based on modern Sobolev methods, this text for advanced undergraduates and graduate students is highly physical in its orientation. It integrates numerical methods and symbolic manipulation into an elegant viewpoint that is consonant with implementation by digital computer. The first five sections form an informal introduction that develops students' physical and mathematical intuition. The following section introduces Hilbert space in its natural environment, and the next six sections pose and solve the standard problems. The final seven sections feature concise introductions to selected topics, including Sturm-Liouville problems, Fourier integrals, Galerkin's method, and Sobolev methods. 1994 edition. 64 figures. Exercises.
Автор: Bleistein Norman Название: Asymptotic Expansions of Integrals ISBN: 0486650820 ISBN-13(EAN): 9780486650821 Издательство: Dover Рейтинг: Цена: 2293 р. Наличие на складе: Поставка под заказ.
Описание: Asymptotic analysis, that branch of mathematics devoted to the study of the behavior of functions within chosen limits, was once thought of more as a specialized art than a necessary discipline. Now, a solid foundation in the theory and technique of asymptotic expansion of integrals is at the heart of the education of every student concentrating in applied mathematics. It is also an invaluable asset to scientists in many other fields.This excellent introductory text, written by two experts in the field, offers students of applied mathematics and researchers and workersin other fields a coherent and systematic presentation of the principles and methods of asymptotic expansions of integrals. Students will find each of the nine chapters useful and easy to comprehend; each begins with elementary material or informal introductions and concludes with an abundant selection of applicable problems and exercises. All that is needed is a basic understanding of calculus, differential equations, and complex variables.Practiced users of asymptotics will find the work a valuable reference with an extensive index locating all the functions covered in the text and every formula associated with the major techniques. Subjects include integration by parts, Watson's lemma, Laplace's method, stationary phase, and steepest descents. Also treated are the Mellin transform method and less elementary aspects of steepest descent. Each chapter is carefully illustrated with helpful diagrams and tables.Used for years as a text in classrooms throughout the country, the book has been revised and corrected for this inexpensive paperback edition. Any student or teacher looking for a suitable text for a year's or semester's course in asymptotics will value this affordable volume as the only comprehensive introduction available; scientists and researchers will undoubtedly refer to it again and again."
Автор: Erd?lyi A. Название: Asymptotic Expansions ISBN: 0486603180 ISBN-13(EAN): 9780486603186 Издательство: Amazon Internet Рейтинг: Цена: 1181 р. Наличие на складе: Поставка под заказ.
Описание: Originally prepared for the Office of Naval Research, this important monograph introduces various methods for the asymptotic evaluation of integrals containing a large parameter, and solutions of ordinary linear differential equations by means of asymptotic expansions. Author''s preface. Bibliography.
Описание: This introduction to Fourier and transform methods emphasizes basic techniques rather than theoretical concepts. It explains the essentials of the Fourier method and presents detailed considerations of modeling and solutions of physical problems. All solutions feature well-drawn outlines that allow students to follow an appropriate sequence of steps, and many of the exercises include answers. The chief focus of this text is the application of the Fourier method to physical problems, which are described mathematically in terms of boundary value problems. Problems involving separation of variables, Sturm-Liouville theory, superposition, and boundary complaints are addressed in a logical sequence. Multidimensional Fourier series solutions and Fourier integral solutions on unbounded domains are followed by the special functions of Bessel and Legendre, which are introduced to deal with the cylindrical and spherical geometry of boundary value problems. Students and professionals in mathematics, the physical sciences, and engineering will find this volume an excellent study guide and resource.
Название: B&N Rack Expansion Box 4 ISBN: 0486464342 ISBN-13(EAN): 9780486464343 Издательство: Dover Цена: 55107 р. Наличие на складе: Поставка под заказ.
Название: B&N Rack Expansion Box 3 ISBN: 0486464334 ISBN-13(EAN): 9780486464336 Издательство: Dover Цена: 55107 р. Наличие на складе: Поставка под заказ.
Название: B&N Rack Expansion Box 2 ISBN: 0486464326 ISBN-13(EAN): 9780486464329 Издательство: Dover Цена: 55107 р. Наличие на складе: Поставка под заказ.
Автор: Dover, Название: B&N Rack Expansion New Box 3 ISBN: 0486466329 ISBN-13(EAN): 9780486466323 Издательство: Dover Цена: 27554 р. Наличие на складе: Поставка под заказ.
Название: B&N Rack Expansion Box 5 ISBN: 0486464350 ISBN-13(EAN): 9780486464350 Издательство: Dover Цена: 89408 р. Наличие на складе: Поставка под заказ.
Автор: Dover, Название: B&N Rack Expansion New Box 5 ISBN: 0486466337 ISBN-13(EAN): 9780486466330 Издательство: Dover Цена: 75660 р. Наличие на складе: Поставка под заказ.
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