Asymptotology : ideas, methods, and applications

by Igor V. Andrianov, Leonid I. Manevitch ; with help from Michiel Hazewinkel

The main features of this volume are: 1) It is devoted to the basic principles of asymptotics and their applications; 2) It presents both traditional approaches as well as less widely used and new approaches such as one- and two-point Pade Approximants, constitutive equations, methods of boundary perturbations, etc.; 3) A general introduction to the subject suitable for non-specialists. Compared with other published books in the field the authors have paid special attention to examples and the discussion of results rather than burying them in formalism, in notation and in technical details. Audience: Researchers in mechanics, physics and applied mathematics as well as in engineering. Graduate students and even high school students can benefit from reading the book, which does not require any scientific knowledge of mathematics and physics.

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[目次]

  • Foreword. Preface. Acknowledgments. Synopsis. 1. Introduction. 2. What Are Asymptotic Methods? 3. A Little Mathematics. 4. How Asymptotic Methods Work. 5. Asymptotic Methods and Physical Theories. 6. Phenomenology and First Principles. 7. A Little History. 8. Fathers of Asymptotic Methods. 9. Conclusion. Appendices: A. Linear and Nonlinear Mathematical Physics: from Harmonic Waves to Solitons. B. Certain Mathematical Notions of Catastrophe Theory. C. Asymptotics and Scaling Transformations. D. Asymptotic Approaches: Attempt af a Definition. E. Some Web-pages. References. About the Authors. Author Index. Topic Index.

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この本の情報

書名 Asymptotology : ideas, methods, and applications
著作者等 Andrianov, I. V.
Hazewinkel, Michiel
Andrianov Igor V.
Manevitch Leonid I.
Manevich L. I. (...Leonid Isaakovich...)
シリーズ名 Mathematics and its applications
出版元 Kluwer Academic
刊行年月 c2002
ページ数 xvii, 252 p.
大きさ 25 cm
ISBN 1402009607
NCID BA60298163
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言語 英語
原文言語 ロシア語
出版国 オランダ
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