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[null,"1.","Record Nr.",null,"UNINA9910144600103321"]
[null,null,"Autore",null,"Conrad Brian"]
[null,null,"Titolo",null,"Grothendieck Duality and Base Change / / by Brian Conrad"]
[null,null,"Pubbl/distr/stampa",null,"Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2000"]
[null,null,"ISBN",null,"3-540-40015-X"]
[null,null,"Edizione",null,"[1st ed. 2000.]"]
[null,null,"Descrizione fisica",null,"1 online resource (XII, 300 p.)"]
[null,null,"Collana",null,"Lecture Notes in Mathematics, , 1617-9692 ; ; 1750"]
[null,null,"Disciplina",null,"515/.782"]
[null,null,"Soggetti",null,"Geometry, Algebraic"]
[{"$nulls":4},"Number theory"]
[{"$nulls":4},"Algebraic Geometry"]
[{"$nulls":4},"Number Theory"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Bibliographic Level Mode of Issuance: Monograph"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"Introduction -- Basic compatibilities -- Duality foundations -- Proof of main theorom -- Examples: Higher direct images. Curves -- Residues and cohomology with supports -- Trace map on smooth curves."]
[null,null,null,"Sommario/riassunto","Grothendieck's duality theory for coherent cohomology is a fundamental tool in algebraic geometry and number theory, in areas ranging from the moduli of curves to the arithmetic theory of modular forms. Presented is a systematic overview of the entire theory, including many basic definitions and a detailed study of duality on curves, dualizing sheaves, and Grothendieck's residue symbol. Along the way proofs are given of some widely used foundational results which are not proven in existing treatments of the subject, such as the general base change compatibility of the trace map for proper Cohen-Macaulay morphisms (e.g., semistable curves). This should be of interest to mathematicians who have some familiarity with Grothendieck's work and wish to understand the details of this theory."]
[null,"2.","Record Nr.",null,"UNINA9910484721103321"]
[null,null,"Autore",null,"Liu Shu Tang"]
[null,null,"Titolo",null,"Fractal Control and Its Applications / / by Shu Tang Liu, Yong Ping Zhang, Chang An Liu"]
[null,null,"Pubbl/distr/stampa",null,"Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2020"]
[null,null,"ISBN",null,"981-15-5459-5"]
[null,null,"Edizione",null,"[1st ed. 2020.]"]
[null,null,"Descrizione fisica",null,"1 online resource (364 pages) : illustrations"]
[null,null,"Disciplina",null,"016.6201123"]
[null,null,"Soggetti",null,"Control engineering"]
[{"$nulls":4},"Signal processing"]
[{"$nulls":4},"Control and Systems Theory"]
[{"$nulls":4},"Digital and Analog Signal Processing"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references."]
[null,null,"Nota di contenuto",null,"Introduction -- New Characteristics about the Fractal Control Theory -- Fractal Control and Synchronization of Classical Model -- Control and Synchronization of Julia Sets Generated by a Class of Complex Time-Delay Rational MAP -- Control and Synchronization of Spatial Fractals -- Fractal Phenomena and Control in Economical Models -- Control of Julia Sets in Complex Physical Systems -- Applications of Fractal Control in Biologies -- Control of the Thermal Fractal Diffusion Systems -- Fractal Analysis and Control of the SIRS Models -- Application of Fractal Control in Other Fields -- References."]
[null,null,null,"Sommario/riassunto","The book focuses on fractal control and applications in various fields. Fractal phenomena occur in nonlinear models, and since the behaviors depicted by fractals need to be controlled in practical applications, an understanding of fractal control is necessary. This book introduces readers to Julia set fractals and Mandelbrot set fractals in a range of models, such as physical systems, biological systems and SIRS models, and discusses controllers designed to control these fractals. Further, it demonstrates how the fractal dimension can be calculated in order to describe the complexity of various systems. Offering a comprehensive and systematic overview of the practical issues in fractal control, this book is a valuable resource for readers interested in practical solutions in fractal control. It will also appeal to researchers, engineers, and graduate students in fields of fractal control and applications, as well as chaos control and applications."]