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1 Kulish, V Hierarchical Methods I10909 2002 eBook  
2 Kulish, V Hierarchical Methods I10673 2002 eBook  
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TitleHierarchical Methods : Hierarchy and Hierarchical Asymptotic Methods in Electrodynamics, Volume 1
Author(s)Kulish, V
PublicationDordrecht, Springer Netherlands, 2002.
DescriptionXXIII, 360 p. 3 illus : online resource
Abstract NoteEverybody is current in a world surrounded by computer. Computers determine our professional activity and penetrate increasingly deeper into our everyday life. Therein we also need increasingly refined c- puter technology. Sometimes we think that the next generation of c- puter will satisfy all our dreams, giving us hope that most of our urgent problems will be solved very soon. However, the future comes and il- sions dissipate. This phenomenon occurs and vanishes sporadically, and, possibly, is a fundamental law of our life. Experience shows that indeed ???systematically remaining??? problems are mainly of a complex tech- logical nature (the creation of new generation of especially perfect - croschemes, elements of memory, etc. ). But let us note that amongst these problems there are always ones solved by our purely intellectual efforts alone. Progress in this direction does not require the invention of any ???superchip??? or other similar elements. It is important to note that the results obtained in this way very often turn out to be more significant than the ???fruits??? of relevant technological progress. The hierarchical asymptotic analytical???numerical methods can be - garded as results of such ???purely intellectual efforts???. Their application allows us to simplify essentially computer calculational procedures and, consequently, to reduce the calculational time required. It is obvious that this circumstance is very attractive to any computer user
ISBN,Price9780306480614
Keyword(s)1. Applications of Mathematics 2. APPLIED MATHEMATICS 3. Computational Mathematics and Numerical Analysis 4. Computer mathematics 5. EBOOK 6. EBOOK - SPRINGER 7. ENGINEERING MATHEMATICS 8. MATHEMATICAL PHYSICS 9. MICROWAVES 10. Microwaves, RF and Optical Engineering 11. OPTICAL ENGINEERING 12. Theoretical, Mathematical and Computational Physics
Item TypeeBook
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I10909     On Shelf    

2.    
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TitleHierarchical Methods : Undulative Electrodynamical Systems, Volume 2
Author(s)Kulish, V
PublicationDordrecht, Springer Netherlands, 2002.
DescriptionXVIII, 382 p : online resource
Abstract NoteThe book consists of two Volumes. The first (the preceding volume) is devoted to the general nonlinear theory of the hierarchical dynamic oscillative???wave systems. This theory has been called the theory of hi- archical oscillations and waves. Here two aspects of the proposed theory are discussed. The first aspects concern the fundamental nature and the basic c- cepts and ideas of a new hierarchical approach to studying hierarchical dynamic systems. A new hierarchical paradigm is proposed as a - sis of a new point of view of such types of systems. In turn, a set of hierarchical principles is formulated as the fundamental basis of this paradigm. Therein the self-resemblance (holographic) principle plays a key role here. An adequate mathematic description (factorization) of the proposed paradigm is carried out. The concepts of structural and dynamic (functional) operators are put into the basis of this descr- tion. Electrodynamics is chosen as a convenient basis for an obvious demonstration of some key points of the proposed new theory. The second aspect has a purely mathematical nature. It is related to the form of factorization (i.e., mathematical description) of hier- chical types of dynamic models, and discussion of the methods of their mathematical analysis. A set of the hierarchical asymptotic analytical??? numerical methods is given as an evidence of the practical effectiveness of the proposed version of hierarchical theory
ISBN,Price9780306480621
Keyword(s)1. Applications of Mathematics 2. APPLIED MATHEMATICS 3. EBOOK 4. EBOOK - SPRINGER 5. ELECTRICAL ENGINEERING 6. ENGINEERING MATHEMATICS 7. MATHEMATICAL PHYSICS 8. MICROWAVES 9. Microwaves, RF and Optical Engineering 10. OPTICAL ENGINEERING 11. Theoretical, Mathematical and Computational Physics
Item TypeeBook
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Circulation Data
Accession#  Call#StatusIssued ToReturn Due On Physical Location
I10673     On Shelf    

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