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Author  Title  Accn#  Year  Item Type  Claims 
1 
B??lair, Jacques 
Fractal Geometry and Analysis 
I04505 
1991 
eBook 

2 
Berezansky, Yu.M 
Spectral Methods in InfiniteDimensional Analysis 
I03257 
1995 
eBook 

3 
Zakharov, Vladimir E 
What Is Integrability? 
I01393 
1991 
eBook 


1.


Title  Fractal Geometry and Analysis 
Author(s)  B??lair, Jacques;Dubuc, Serge 
Publication  Dordrecht, Springer Netherlands, 1991. 
Description  XV, 472 p. 85 illus : online resource 
Abstract Note  This ASI which was also the 28th session of the Seminaire de mathematiques superieures of the Universite de Montreal  was devoted to Fractal Geometry and Analysis. The present volume is the fruit of the work of this Advanced Study Institute. We were fortunate to have with us Prof. Benoit Mandelbrot  the creator of numerous concepts in Fractal Geometry  who gave a series of lectures on multifractals, iteration of analytic functions, and various kinds of fractal stochastic processes. Different foundational contributions for Fractal Geometry like measure theory, dy?? namical systems, iteration theory, branching processes are recognized. The geometry of fractal sets and the analytical tools used to investigate them provide a unifying theme of this book. The main topics that are covered are then as follows. Dimension Theory. Many definitions of fractional dimension have been proposed, all of which coincide on "regular" objects, but often take different values for a given fractal set. There is ample discussion on piecewise estimates yielding actual values for the most common dimensions (Hausdorff, boxcounting and packing dimensions). The dimension theory is mainly discussed by MendesFrance, Bedford, Falconer, Tricot and Rata. Construction of fractal sets. Scale in variance is a fundamental property of fractal sets 
ISBN,Price  9789401579315 
Keyword(s)  1. EBOOK
2. EBOOK  SPRINGER
3. Functions of a Complex Variable
4. FUNCTIONS OF COMPLEX VARIABLES
5. Mathematical Modeling and Industrial Mathematics
6. MATHEMATICAL MODELS
7. Measure and Integration
8. MEASURE THEORY
9. PROBABILITIES
10. Probability Theory and Stochastic Processes

Item Type  eBook 
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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I04505 


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2.


Title  Spectral Methods in InfiniteDimensional Analysis 
Author(s)  Berezansky, Yu.M;Kondratiev, Y.G 
Publication  Dordrecht, Springer Netherlands, 1995. 
Description  XXVI, 1010 p : online resource 
Abstract Note  The Russian edition of this book appeared 5 years ago. Since that time, many results have been improved upon and new approaches to the problems investigated in the book have appeared. But the greatest surprise for us was to discover that there exists a large group of mathematicians working in the area of the socalled White Noise Analysis which is closely connected with the essential part of our book, namely, with the theory of generalized functions of infinitely many variables. The first papers dealing with White Noise Analysis were written by T. Hida in Japan in 1975. Later, this analysis was devel?? oped intensively in Japan, Germany, U.S.A., Taipei, and in other places. The related problems of infinitedimensional analysis have been studied in Kiev since 1967, and the theory of generalized functions of infinitely many variables has been in?? vestigated since 1973. However, due to the political system in the U.S.S.R., contact be?? tween Ukrainian and foreign mathematicians was impossible for a long period of time. This is why, to our great regret, only at the end of 1988 did one of the authors meet L. Streit who told him about the existence of White Noise Analysis. And it become clear that many results in these two theories coincide and that, in fact, there exists a single theory and not two distinct ones 
ISBN,Price  9789401105095 
Keyword(s)  1. COMPLEX SYSTEMS
2. DYNAMICAL SYSTEMS
3. EBOOK
4. EBOOK  SPRINGER
5. Elementary particles (Physics)
6. Elementary Particles, Quantum Field Theory
7. FUNCTIONAL ANALYSIS
8. Measure and Integration
9. MEASURE THEORY
10. OPERATOR THEORY
11. QUANTUM FIELD THEORY
12. STATISTICAL PHYSICS
13. Statistical Physics and Dynamical Systems

Item Type  eBook 
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Call#  Status  Issued To  Return Due On  Physical Location 
I03257 


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3.
 
Title  What Is Integrability? 
Author(s)  Zakharov, Vladimir E 
Publication  Berlin, Heidelberg, Springer Berlin Heidelberg, 1991. 
Description  XIV, 321 p. 2 illus : online resource 
Abstract Note  The idea of devoting a complete book to this topic was born at one of the Workshops on Nonlinear and Turbulent Processes in Physics taking place reg?? ularly in Kiev. With the exception of E. D. Siggia and N. Ercolani, all authors of this volume were participants at the third of these workshops. All of them were acquainted with each other and with each other's work. Yet it seemed to be somewhat of a discovery that all of them were and are trying to understand the same problem  the problem of integrability of dynamical systems, primarily Hamiltonian ones with an infinite number of degrees of freedom. No doubt that they (or to be more exact, we) were led to this by the logical process of scientific evolution which often leads to independent, almost simultaneous discoveries. Integrable, or, more accurately, exactly solvable equations are essential to theoretical and mathematical physics. One could say that they constitute the "mathematical nucleus" of theoretical physics whose goal is to describe real clas?? sical or quantum systems. For example, the kinetic gas theory may be considered to be a theory of a system which is trivially integrable: the system of classical noninteracting particles. One of the main tasks of quantum electrodynamics is the development of a theory of an integrable perturbed quantum system, namely, noninteracting electromagnetic and electronpositron fields 
ISBN,Price  9783642887031 
Keyword(s)  1. APPLICATION SOFTWARE
2. COMPLEX SYSTEMS
3. DYNAMICAL SYSTEMS
4. EBOOK
5. EBOOK  SPRINGER
6. Information Systems Applications (incl. Internet)
7. Measure and Integration
8. MEASURE THEORY
9. STATISTICAL PHYSICS
10. Statistical Physics and Dynamical Systems

Item Type  eBook 
MultiMedia Links
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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I01393 


On Shelf 



 