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Author: Shupei Wang
Publisher:
ISBN: 9789514107382
Category : Differential equations
Languages : en
Pages : 72
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Book Description
Author: Shupei Wang
Publisher:
ISBN: 9789514107382
Category : Differential equations
Languages : en
Pages : 72
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Book Description
Author: R M Ali
Publisher: World Scientific
ISBN: 9814549738
Category :
Languages : en
Pages : 374
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Book Description
The topics discussed at the conference revolved around the interaction of computational methods and theoretical function theory, as well as recent advances and developments in both fields. The talks ranged from analytic function theory to approximation theory to numerical conformal mapping and other computational methods.
Author: Tosio Kato
Publisher: Springer Science & Business Media
ISBN: 3662126788
Category : Mathematics
Languages : en
Pages : 610
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Book Description
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 666
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Book Description
Author: Ovidiu Costin
Publisher: CRC Press
ISBN: 1420070320
Category : Mathematics
Languages : en
Pages : 266
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Book Description
Incorporating substantial developments from the last thirty years into one resource, Asymptotics and Borel Summability provides a self-contained introduction to asymptotic analysis with special emphasis on topics not covered in traditional asymptotics books. The author explains basic ideas, concepts, and methods of generalized Borel summability, tr
Author: Christophe Cheverry
Publisher: Springer Nature
ISBN: 3030674622
Category : Mathematics
Languages : en
Pages : 258
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Book Description
This textbook provides a graduate-level introduction to the spectral theory of linear operators on Banach and Hilbert spaces, guiding readers through key components of spectral theory and its applications in quantum physics. Based on their extensive teaching experience, the authors present topics in a progressive manner so that each chapter builds on the ones preceding. Researchers and students alike will also appreciate the exploration of more advanced applications and research perspectives presented near the end of the book. Beginning with a brief introduction to the relationship between spectral theory and quantum physics, the authors go on to explore unbounded operators, analyzing closed, adjoint, and self-adjoint operators. Next, the spectrum of a closed operator is defined and the fundamental properties of Fredholm operators are introduced. The authors then develop the Grushin method to execute the spectral analysis of compact operators. The chapters that follow are devoted to examining Hille-Yoshida and Stone theorems, the spectral analysis of self-adjoint operators, and trace-class and Hilbert-Schmidt operators. The final chapter opens the discussion to several selected applications. Throughout this textbook, detailed proofs are given, and the statements are illustrated by a number of well-chosen examples. At the end, an appendix about foundational functional analysis theorems is provided to help the uninitiated reader. A Guide to Spectral Theory: Applications and Exercises is intended for graduate students taking an introductory course in spectral theory or operator theory. A background in linear functional analysis and partial differential equations is assumed; basic knowledge of bounded linear operators is useful but not required. PhD students and researchers will also find this volume to be of interest, particularly the research directions provided in later chapters.
Author: John P. Boyd
Publisher: Courier Corporation
ISBN: 0486411834
Category : Mathematics
Languages : en
Pages : 690
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Book Description
Completely revised text focuses on use of spectral methods to solve boundary value, eigenvalue, and time-dependent problems, but also covers Hermite, Laguerre, rational Chebyshev, sinc, and spherical harmonic functions, as well as cardinal functions, linear eigenvalue problems, matrix-solving methods, coordinate transformations, methods for unbounded intervals, spherical and cylindrical geometry, and much more. 7 Appendices. Glossary. Bibliography. Index. Over 160 text figures.
Author: Blair Fix
Publisher: Springer
ISBN: 3319128264
Category : Business & Economics
Languages : en
Pages : 129
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Book Description
Neoclassical growth theory is the dominant perspective for explaining economic growth. At its core are four implicit assumptions: 1) economic output can become decoupled from energy consumption; 2) economic distribution is unrelated to growth; 3) large institutions are not important for growth; and 4) labor force structure is not important for growth. Drawing on a wide range of data from the economic history of the United States, this book tests the validity of these assumptions and finds no empirical support. Instead, connections are found between the growth in energy consumption and such disparate phenomena as economic redistribution, corporate employment concentration, and changing labor force structure. The integration of energy into an economic growth model has the potential to offer insight into the future effects of fossil fuel depletion on key macroeconomic indicators, which is already manifested in stalled or diminished growth and escalating debt in many national economies. This book argues for an alternative, biophysical perspective to the study of growth, and presents a set of "stylized facts" that such an approach must successfully explain. Aspects of biophysical analysis are combined with differential monetary analysis to arrive at a unique empirical methodology for investigating the elements and dependencies of the economic growth process.
Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 1370
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Author: Michio Morishima
Publisher: CUP Archive
ISBN:
Category : Business & Economics
Languages : en
Pages : 214
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Book Description
Professor Morishima concentrates on the three volumes of Das Kapital and their contributions to the major topics of traditional Marxian economics. He provides a rigorous mathematisation of the labour theory of value, the theory of exploitation, the transformation problem, the reproduction scheme, the law of relative surplus population, the falling rate of capital and the turnover of capital. After proving Marxian propositions in a rigorous way, he argues that in order to combine Marx's model with von Neumann's in a new growth theory it is necessary to abandon the labour theory of value. Professor Morishima feels that this sacrifice is well worth making, because it enables Marxian economics to be integrated with orthodox theory into a new Marx-von Neumann theory of growth, and this to make an important contribution to the development of the subject.