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11 B??lair, Jacques Fractal Geometry and Analysis I04505 1991 eBook  
12 Gauthier, Paul M Complex Potential Theory I02935 1994 eBook  
13 Schlomiuk, Dana Bifurcations and Periodic Orbits of Vector Fields I01719 1993 eBook  
14 Dietrich, Volker Clifford Algebras and Their Application in Mathematical Physics I00380 1998 eBook  
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11.    
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TitleFractal Geometry and Analysis
Author(s)B??lair, Jacques;Dubuc, Serge
PublicationDordrecht, Springer Netherlands, 1991.
DescriptionXV, 472 p. 85 illus : online resource
Abstract NoteThis 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, box-counting and packing dimensions). The dimension theory is mainly discussed by Mendes-France, Bedford, Falconer, Tricot and Rata. Construction of fractal sets. Scale in variance is a fundamental property of fractal sets
ISBN,Price9789401579315
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
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I04505     On Shelf    

12.     
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TitleComplex Potential Theory
Author(s)Gauthier, Paul M
PublicationDordrecht, Springer Netherlands, 1994.
DescriptionXIX, 552 p : online resource
ISBN,Price9789401109345
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. FUNCTIONAL ANALYSIS 4. Functions of a Complex Variable 5. FUNCTIONS OF COMPLEX VARIABLES 6. POTENTIAL THEORY 7. Potential theory (Mathematics) 8. Several Complex Variables and Analytic Spaces
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I02935     On Shelf    

13.     
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TitleBifurcations and Periodic Orbits of Vector Fields
Author(s)Schlomiuk, Dana
PublicationDordrecht, Springer Netherlands, 1993.
DescriptionXVIII, 474 p : online resource
Abstract NoteThe last thirty years were a period of continuous and intense growth in the subject of dynamical systems. New concepts and techniques and at the same time new areas of applications of the theory were found. The 31st session of the Seminaire de Mathematiques Superieures (SMS) held at the Universite de Montreal in July 1992 was on dynamical systems having as its center theme "Bifurcations and periodic orbits of vector fields". This session of the SMS was a NATO Advanced Study Institute (ASI). This ASI had the purpose of acquainting the participants with some of the most recent developments and of stimulating new research around the chosen center theme. These developments include the major tools of the new resummation techniques with applications, in particular to the proof of the non-accumulation of limit-cycles for real-analytic plane vector fields. One of the aims of the ASI was to bring together methods from real and complex dy?? namical systems. There is a growing awareness that an interplay between real and complex methods is both useful and necessary for the solution of some of the problems. Complex techniques become powerful tools which yield valuable information when applied to the study of the dynamics of real vector fields. The recent developments show that no rigid frontiers between disciplines exist and that interesting new developments occur when ideas and techniques from diverse disciplines are married. One of the aims of the ASI was to show these multiple interactions at work
ISBN,Price9789401582384
Keyword(s)1. DIFFERENTIAL EQUATIONS 2. EBOOK 3. EBOOK - SPRINGER 4. Functions of a Complex Variable 5. FUNCTIONS OF COMPLEX VARIABLES 6. GEOMETRY 7. GLOBAL ANALYSIS (MATHEMATICS) 8. Global Analysis and Analysis on Manifolds 9. Manifolds (Mathematics) 10. Numeric Computing 11. NUMERICAL ANALYSIS 12. ORDINARY DIFFERENTIAL EQUATIONS 13. Sequences (Mathematics) 14. Sequences, Series, Summability
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I01719     On Shelf    

14.    
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TitleClifford Algebras and Their Application in Mathematical Physics : Aachen 1996
Author(s)Dietrich, Volker;Habetha, Klaus;Jank, Gerhard
PublicationDordrecht, Springer Netherlands, 1998.
DescriptionXXXII, 447 p : online resource
Abstract NoteClifford Algebras continues to be a fast-growing discipline, with ever-increasing applications in many scientific fields. This volume contains the lectures given at the Fourth Conference on Clifford Algebras and their Applications in Mathematical Physics, held at RWTH Aachen in May 1996. The papers represent an excellent survey of the newest developments around Clifford Analysis and its applications to theoretical physics. Audience: This book should appeal to physicists and mathematicians working in areas involving functions of complex variables, associative rings and algebras, integral transforms, operational calculus, partial differential equations, and the mathematics of physics
ISBN,Price9789401150361
Keyword(s)1. Associative rings 2. Associative Rings and Algebras 3. EBOOK 4. EBOOK - SPRINGER 5. Functions of a Complex Variable 6. FUNCTIONS OF COMPLEX VARIABLES 7. INTEGRAL TRANSFORMS 8. Integral Transforms, Operational Calculus 9. MATHEMATICAL LOGIC 10. Mathematical Logic and Foundations 11. Operational calculus 12. PARTIAL DIFFERENTIAL EQUATIONS 13. Rings (Algebra)
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I00380     On Shelf    

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