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1.

図書

図書
edited by Sergio Albeverio ... [et al.]
出版情報: Dordrecht, Holland ; Tokyo : D. Reidel Pub. Co., c1988  xi, 415 p. ; 25 cm
シリーズ名: Mathematics and its applications
2.

図書

図書
edited by J.W. de Bakker, M. Hazewinkel, J.K. Lenstra
出版情報: Amsterdam ; Tokyo : North-Holland, 1986  vii, 351 p. ; 25 cm
シリーズ名: CWI monograph ; 1
3.

図書

図書
edited by M. Hazewinkel, R. Jurkovich, and J.H.P. Paelinck (Steering Committee on Interdisciplinary Studies, Erasmus University, Rotterdam, The Netherlands)
出版情報: Dordrecht : D. Reidel Pub. Co., c1985  vii, 259 p. ; 25 cm
4.

図書

図書
Michiel Hazewinkel
出版情報: New York : Academic Press, 1978  xxii, 573 p. ; 24 cm
シリーズ名: Pure and applied mathematics ; 78
5.

図書

図書
edited by Michiel Hazewinkel, Hans W. Capel, and Eduard M. de Jager
出版情報: Dordrecht ; Boston : Kluwer Academic, c1995  vi, 516 p. ; 25 cm
6.

図書

図書
Yu. I. Manin ; translated from Russian by M. Hazewinkel
出版情報: Amsterdam ; New York : North-Holland, 1986  x, 326 p. ; 23 cm
シリーズ名: North-Holland mathematical library ; v. 4
7.

図書

図書
edited by M. Fliess and M. Hazewinkel
出版情報: Dordrecht ; Tokyo : D. Reidel Pub. Co., c1986  xii, 642 p. ; 25 cm
シリーズ名: Mathematics and its applications
8.

図書

図書
edited by Michiel Hazewinkel and Jan C. Willems
出版情報: Dordrecht, Holland ; Boston : D. Reidel Pub. Co., c1981  xi, 663 p. ; 25 cm
シリーズ名: NATO advanced study institutes series ; ser. C . Mathematical and physical sciences ; v. 78
9.

図書

図書
L.A. Bokutʹ, M. Hazewinkel, Yu.G. Reshetnyak, editors ; [translation edited by Dausa Zvirenaite and Simeon Ivanov]
出版情報: Providence, R.I. : American Mathematical Society, c1995  x, 188 p. ; 27 cm
シリーズ名: American Mathematical Society translations ; ser. 2, v. 163
目次情報: 続きを見る
On the III Siberian School "Algebra and Analysis", Irkutsk, August 30-September 4, 1989 / Yu. G. Reshetnyak ; L. A. Bokut
Quasiderivations in diagonal matrix algebras / A. Z. Ananin
$L^2$ Atiyah-Bott-Lefschetz theorem / A. Efremov
Topological structure of $k$-saddle surfaces / V. V. Glazyrin
On uniqueness of reconstruction of the form of convex and visible bodies from their projections / V. P. Golubyatnikov
On subalgebras of maximal rank of semisimple Lie algebras / P. Ya. Grushko ; L. A. Osipenko
Algebraic principles of building mathematical structures / V. K. Ionin
On the absence of Sullivan's cusp finiteness theorem in higher dimensions / M. Kapovich
The variety of all rings has Higman's property / G. Kukin Boolean-valued
Introduction to the theory of vector lattices / A. G. Kusraev ; S. S. Kutateladze
The Whitehead groups of algebraic groups and applications to some problems of algebraic group theory / A. P. Monastyrnyi ; V. I. Yanchevskii
Diffeomorphicity criteria for simply connected manifolds / N. Yu. Netsvetaev
On the $K$-theory of generalized fibre bundles and some of their twisted forms / I. A. Panin
On mappings preserving convexity / A. V. Shaidenko
-Kunzi Affine crystallographic groups / G. A. Soifer
Integrals with respect to vector-valued measures: Theoretical problems and applications / A. V. Uglanov
Generalized derivations of algebras / E. B. Vinberg
On the III Siberian School "Algebra and Analysis", Irkutsk, August 30-September 4, 1989 / Yu. G. Reshetnyak ; L. A. Bokut
Quasiderivations in diagonal matrix algebras / A. Z. Ananin
$L^2$ Atiyah-Bott-Lefschetz theorem / A. Efremov
10.

図書

図書
by Igor V. Andrianov, Leonid I. Manevitch ; with help from Michiel Hazewinkel
出版情報: Dordrecht ; London : Kluwer Academic, c2002  xvii, 252 p. ; 25 cm
シリーズ名: Mathematics and its applications ; v. 551
目次情報: 続きを見る
Foreword
Preface
Acknowledgments
Synopsis
Introduction / 1.:
General Remarks
What does "Popular Science Book" Mean? / 2.:
Why "Asymptology"? / 3.:
What Are Asymptotic Methods?
Reduction of the System's Dimension
Regular Asymptotics and Boundary Layers
Asymptotic Series
Averaging and Homogenization / 4.:
Continuous limits / 5.:
Local and Nonlocal Linearization / 6.:
Estimation of Asymptotic Solution Errors / 7.:
Summation Procedures / 8.:
"Padeons" / 9.:
How to Make Both Ends Meet / 10.:
Renormalization / 11.:
Asymptotics and Computers / 12.:
Are Asymptotic Methods a Panacea? / 13.:
A Little Mathematics
Basic Formalism
A Simple Example
Regular and Singular Asymptotics
Asymptotic Decomposition
Supplementary Asymptotics
Continuous Approximation of a Chain of Masses
Search for Small Parameters
Newton Polyhedron
Catastrophe Theory
How Asymptotic Methods Work
Celestial Mechanics
Theory of Plates and Shells
Polymer Physics
Asymptotics and Engineering
Theory of Composite Materials
Biology
Et Cetera
Asymptotics and Art
Asymptotics in Pictures
Formation of New Concepts
Is Understanding an Asymptotic Process?
Asymptotic Methods and Physical Theories
Asymptotic Correspondence of Physical Theories
Mechanics by Aristotle and Galileo-Newton
Newton Mechanics and Special Relativity Theory
Geometrical and Wave Optics
Classical and Quantum Mechanics
"Simple Theories" in Physics
"The Cube of Theories"
Asymptotic Ways of Thinking for Beginners
Phenomenology and First Principles
Basic Relations of Shell Theory
How to Construct Consistent Phenomenological Theories
Some Conclusions
A Little History
Method of Averaging
Triumphs of Perturbation Methods
Galileo and the Principle of Idealization
Fathers of Asymptotic Methods
Leonhard Euler
Alexis-Claude Clairaut
Jean Le Rond d'Alembert
Joseph-Louis Lagrange
Pierre-Simon Laplace
Carl Friedrich Gauss
Jules-Henri Poincare
Alexander M. Lyapunov
Henri Eugene Pade
Ludwig Prandtl
Balthasar Van der Pol
Nickolay M. Krylov
Nickolay N. Bogoliubov
Conclusion
Appendices
Linear and Nonlinear Mathematical Physics: from Harmonic Waves to Solitons / A:
The Quasi-Linear World
On the Way to Nonlinear Physics
How Solitons Work
Certain Mathematical Notions of Catastrophe Theory / B:
Representation of Functions by Jets
Equivalency of a Function and its k-th Jet
Representation of Functions by Jets in Ordinary Points
Jets at Non-Degenerate Critical Points
Jets at Degenerate Critical Points
Control Parameters
Asymptotics and Scaling Transformations / C:
Estimation of Variables
Subsequent Approximations
Asymptotic Approaches: Attempt at a Definition / D:
Asymptotic Methods or a New Mathematics?
Uncertainty-Complementarity-Compatibility
Some Web-Pages / E:
References
About the Authors
Author Index
Topic Index
Foreword
Preface
Acknowledgments
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