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Decomposition (Mathematics) --- Decomposition method. --- Mathematical analysis --- Data processing. --- 517.1 Mathematical analysis --- Method, Decomposition --- Operations research --- Programming (Mathematics) --- System analysis --- Mathematics --- Probabilities

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This book discusses all the major topics of complex analysis, beginning with the properties of complex numbers and ending with the proofs of the fundamental principles of conformal mappings. Topics covered in the book include the study of holomorphic and analytic functions, classification of singular points and the Laurent series expansion, theory of residues and their application to evaluation of integrals, systematic study of elementary functions, analysis of conformal mappings and their applications—making this book self-sufficient and the reader independent of any other texts on complex variables. The book is aimed at the advanced undergraduate students of mathematics and engineering, as well as those interested in studying complex analysis with a good working knowledge of advanced calculus. The mathematical level of the exposition corresponds to advanced undergraduate courses of mathematical analysis and first graduate introduction to the discipline. The book contains a large number of problems and exercises, making it suitable for both classroom use and self-study. Many standard exercises are included in each section to develop basic skills and test the understanding of concepts. Other problems are more theoretically oriented and illustrate intricate points of the theory. Many additional problems are proposed as homework tasks whose level ranges from straightforward, but not overly simple, exercises to problems of considerable difficulty but of comparable interest.

Mathematical analysis. --- Analysis (Mathematics). --- Sequences (Mathematics). --- Analysis. --- Sequences, Series, Summability. --- Mathematical sequences --- Numerical sequences --- Algebra --- Mathematics --- 517.1 Mathematical analysis --- Mathematical analysis

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This volume features selected papers from The Fifteenth International Conference on Order Analysis and Related Problems of Mathematical Modeling, which was held in Vladikavkaz, Russia, on 15 - 20th July 2019. Intended for mathematicians specializing in operator theory, functional spaces, differential equations or mathematical modeling, the book provides a state-of-the-art account of various fascinating areas of operator theory, ranging from various classes of operators (positive operators, convolution operators, backward shift operators, singular and fractional integral operators, partial differential operators) to important applications in differential equations, inverse problems, approximation theory, metric theory of surfaces, the Hubbard model, social stratification models, and viscid incompressible fluids.

Operator theory. --- Mathematical analysis. --- Analysis (Mathematics). --- Functional analysis. --- Differential geometry. --- Operator Theory. --- Analysis. --- Functional Analysis. --- Differential Geometry. --- 517.1 Mathematical analysis --- Mathematical analysis --- Functional analysis --- Differential geometry --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Operator theory

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Il testo mira a fornire un'introduzione ai sistemi dinamici. Il lettore modello è uno studente di un corso di laurea triennale in matematica o fisica, o, più in generale, chiunque disponga delle nozioni che si acquisiscono nella prima metà di tali corsi di studio. In quest'ottica il testo unisce una trattazione matematica rigorosa a un linguaggio matematico accessibile anche a lettori meno esperti, richiamando risultati studiati in insegnamenti precedenti o fornendo gli strumenti necessari per colmare eventuali lacune. Sono comunque trattati estesamente argomenti avanzati che di consuetudine non sono discussi nell'ambito di un insegnamento del primo biennio; in particolare è dato largo spazio alla teoria dei sistemi dinamici in campi che esulano dai programmi tradizionali di meccanica analitica. In questo modo il testo può essere di interesse anche per uno studente di un corso di secondo livello o per un ricercatore con una preparazione di base più solida. I temi trattati sono: teoria fondamentale delle equazioni differenziali ordinarie; analisi qualitativa del moto, con particolare enfasi su sistemi planari e sistemi meccanici conservativi unidimensionali; problema dei due corpi e moti un campo centrale; moti relativi e forze apparenti; proprietà cinematiche e dinamiche dei corpi rigidi. Il testo è corredato di vari esempi illustrativi nonché, alla fine di ogni capitolo, di un ampio numero di esercizi, in gran parte svolti, di carattere sia teorico che pratico, che consentono di approfondire i temi trattati e di comprendere meglio la teoria tramite applicazioni di interesse fisico ed esempi espliciti.

Mathematical physics. --- Dynamical systems. --- Mathematical analysis. --- Mathematical Physics. --- Dynamical Systems. --- Analysis. --- 517.1 Mathematical analysis --- Mathematical analysis --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Physical mathematics --- Sistemes dinàmics diferenciables --- Equacions diferencials --- Anàlisi matemàtica

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Special Topics in Structural Dynamics & Experimental Techniques, Volume 5: Proceedings of the 38th MAC, A Conference and Exposition on Structural Dynamics, 2020, the fifth volume of eight from the Conference brings together contributions to this important area of research and engineering. The collection presents early findings and case studies on fundamental and applied aspects of Structural Dynamics, including papers on: Analytical Methods Emerging Technologies for Structural Dynamics Engineering Extremes Experimental Techniques Finite Element Techniques General Topics.

Statics. --- Mathematical analysis. --- Analysis (Mathematics). --- Structural materials. --- Civil engineering. --- Mechanical Statics and Structures. --- Analysis. --- Structural Materials. --- Civil Engineering. --- Engineering --- Public works --- Architectural materials --- Architecture --- Building --- Building supplies --- Buildings --- Construction materials --- Structural materials --- Materials --- 517.1 Mathematical analysis --- Mathematical analysis --- Mathematics --- Mechanics --- Mechanics, Analytic --- Physics --- Dynamics --- Equilibrium --- Structural dynamics