Download or read book Elementi di Analisi Superiore per la Fisica e Ingegneria written by Alberto Ferrero and published by Società Editrice Esculapio. This book was released on 2020-04-01 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: La gamma di argomenti trattati è piuttosto vasta e copre i principali prerequisiti della ricerca scientifica basata su modelli matematici. Si parte dagli spazi vettoriali e dall'integrale di Lebesgue per arrivare fino ai confini della ricerca teorica come lo studio di esponenti critici per le equazioni ellittiche semilineari e i problemi attuali della fluidodinamica. Questo lungo percorso attraversa la teoria degli spazi di Banach e di Hilbert, gli spazi di Sobolev, le equazioni differenziali, le trasformate di Fourier e Laplace alle quali sono premessi opportuni strumenti di analisi complessa. Sono state riportate tutte le dimostrazioni con un interesse didattico o applicativo; sono state invece omesse quelle dimostrazioni troppo tecniche o che richiedono troppe conoscenze. Questo libro ha l'ambizioso proposito di essere utile a un'ampia tipologia di lettori. I primi possibili beneficiari sono sicuramente gli studenti del secondo o terzo anno di un corso di laurea scientifico: qui di seguito troveranno quegli argomenti che servono per iniziare studi più approfonditi in Matematica e in altre discipline, specialmente la Fisica e l'Ingegneria. Ma questo libro potrebbe anche essere utile a studenti già laureati che intendano iniziare un dottorato di ricerca: contiene infatti il materiale di un corso di dottorato multidisciplinare tenuto per vari anni da Filippo Gazzola al Politecnico di Milano. Infine, questo libro potrebbe interessare anche a chi ha già abbandonato gli studi da tempo ma ha saltuariamente bisogno di utilizzare strumenti matematici: ci riferiamo sia a docenti universitari e alla loro ricerca, sia a professionisti e progettisti che intendano modellizzare un certo fenomeno, sia a nostalgici dei bei tempi quando erano ancora studenti.
Download or read book Elementi di analisi superiore written by Luigi Amerio and published by . This book was released on 1964 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Elementi di analisi superiore written by Luigi Amerio and published by . This book was released on 1960 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Elementi di analisi superiore Vol 1 Lezioni di complementi di analisi matematica tenute nel Politecnico di Milano written by Luigi Amerio and published by . This book was released on 1961 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Elementi di analisi superiore per la fisica e l ingegneria written by Alberto Ferrero (matematico.) and published by . This book was released on 2010 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Elementi di analisi superiore written by Luigi Amerio and published by . This book was released on 1961 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Elementi di analisi superiore written by Luigi Amerio and published by . This book was released on 1964 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Elementi di analisi superiore written by Luigi Amerio and published by . This book was released on 1964 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Elementi di analisi superiore written by Luigi Amerio and published by . This book was released on 1964 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Geometry and Complex Variables written by S. Coen and published by Routledge. This book was released on 2017-11-22 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: This reference presents the proceedings of an international meeting on the occasion of theUniversity of Bologna's ninth centennial-highlighting the latest developments in the field ofgeometry and complex variables and new results in the areas of algebraic geometry,differential geometry, and analytic functions of one or several complex variables.Building upon the rich tradition of the University of Bologna's great mathematics teachers, thisvolume contains new studies on the history of mathematics, including the algebraic geometrywork of F. Enriques, B. Levi, and B. Segre ... complex function theory ideas of L. Fantappie,B. Levi, S. Pincherle, and G. Vitali ... series theory and logarithm theory contributions of P.Mengoli and S. Pincherle ... and much more. Additionally, the book lists all the University ofBologna's mathematics professors-from 1860 to 1940-with precise indications of eachcourse year by year.Including survey papers on combinatorics, complex analysis, and complex algebraic geometryinspired by Bologna's mathematicians and current advances, Geometry and ComplexVariables illustrates the classic works and ideas in the field and their influence on today'sresearch.
Download or read book Elements of Advanced Mathematical Analysis for Physics and Engineering written by Filippo Gazzola and published by Società Editrice Esculapio. This book was released on 2015-08-26 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: Deep comprehension of applied sciences requires a solid knowledge of Mathematical Analysis. For most of high level scientific research, the good understanding of Functional Analysis and weak solutions to differential equations is essential. This book aims to deal with the main topics that are necessary to achieve such a knowledge. Still, this is the goal of many other texts in advanced analysis; and then, what would be a good reason to read or to consult this book? In order to answer this question, let us introduce the three Authors. Alberto Ferrero got his degree in Mathematics in 2000 and presently he is researcher in Mathematical Analysis at the Università del Piemonte Orientale. Filippo Gazzola got his degree in Mathematics in 1987 and he is now full professor in Mathematical Analysis at the Politecnico di Milano. Maurizio Zanotti got his degree in Mechanical Engineering in 2004 and presently he is structural and machine designer and lecturer professor in Mathematical Analysis at the Politecnico di Milano. The three Authors, for the variety of their skills, decided to join their expertises to write this book. One of the reasons that should encourage its reading is that the presentation turns out to be a reasonable compromise among the essential mathematical rigor, the importance of the applications and the clearness, which is necessary to make the reference work pleasant to the readers, even to the inexperienced ones. The range of treated topics is quite wide and covers the main basic notions of the scientific research which is based upon mathematical models. We start from vector spaces and Lebesgue integral to reach the frontier of theoretical research such as the study of critical exponents for semilinear elliptic equations and recent problems in fluid dynamics. This long route passes through the theory of Banach and Hilbert spaces, Sobolev spaces, differential equations, Fourier and Laplace transforms, before which we recall some appropriate tools of Complex Analysis. We give all the proofs that have some didactic or applicative interest, while we omit the ones which are too technical or require too high level knowledge. This book has the ambitious purpose to be useful to a broad variety of readers. The first possible beneficiaries are of course the second or third year students of a scientific course of degree: in what follows they will find the topics that are necessary to approach more advanced studies in Mathematics and in other fields, especially Physics and Engineering. This text could be also useful to graduate students who want to start a Ph.D. course: indeed it contains the matter of a multidisciplinary Ph.D. course given by Filippo Gazzola for several years at Politecnico di Milano. Finally, this book could be addressed also to the ones who have already left education far-back but occasionally need to use mathematical tools: we refer both to university professors and their research, and to professionals and designers who want to model a certain phenomenon, but also to the nostalgics of the good old days when they were students. It is precisely for this last type of reader that we have also reported some elementary topics, such as the properties of numerical sets and of the integrals; moreover, every chapter is provided with examples and specific exercises aimed at the involvement of the reader.
Download or read book Elementi della teoria delle funzioni e calcolo delle variazioni written by and published by . This book was released on 1915 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Analysis Tools for Engineering written by franco tomarelli and published by Società Editrice Esculapio. This book was released on 2021-09-01 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the study of ordinary differential equations and partial differential equations, ranging from elementary techniques to advanced tools. The presentation focusses on initial value problems, boundary value problems, equations with delayed argument and analysis of periodic solutions: main goals are the analysis of diffusion equation, wave equation, Laplace equation and signals. The study of relevant examples of differential models highlights the notion of well-posed problem. An expanded tutorial chapter collects the topics from basic undergraduate calculus that are used in subsequent chapters. A wide exposition concerning classical methods for solving problems related to differential equations is available: mainly separation of variables and Fourier series, with basic worked exercises. A whole chapter deals with the analytic functions of complex variable. An introduction to function spaces, distributions and basic notions of functional analysis is present. Several chapters are devoted to Fourier and Laplace transforms methods to solve boundary value problems and initial value problems for differential equations. Tools for the analysis appear gradually: first in function spaces, then in the more general framework of distributions, where a powerful arsenal of techniques allows dealing with impulsive signals and singularities in both data and solutions of differential problems. This Second Edition contains additional exercises and a new chapter concerning signals and filters analysis in connection to integral transforms.
Download or read book Analytic functions Integral transforms Differential Equations written by F. Gazzola and published by Società Editrice Esculapio. This book was released on 2020-07-01 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential equations play a relevant role in many disciplines and provide powerful tools for analysis and modeling in applied sciences. The book contains several classical and modern methods for the study of ordinary and partial differential equations. A broad space is reserved to Fourier and Laplace transforms together with their applications to the solution of boundary value and/or initial value problems for differential equations. Basic prerequisites concerning analytic functions of complex variable and Lp spaces are synthetically presented in the first two chapters. Techniques based on integral transforms and Fourier series are presented in specific chapters, first in the easier framework of integrable functions and later in the general framework of distributions. The less elementary distributional context allows to deal also with differential equations with highly irregular data and pulse signals. The theory is introduced concisely, while learning of miscellaneous methods is achieved step-by-step through the proposal of many exercises of increasing difficulty. Additional recap exercises are collected in dedicated sections. Several tables for easy reference of main formulas are available at the end of the book. The presentation is oriented mainly to students of Schools in Engineering, Sciences and Economy. The partition of various topics in several self-contained and independent sections allows an easy splitting in at least two didactic modules: one at undergraduate level, the other at graduate level.
Download or read book Analytic Functions Integral Transforms Differential Equations written by Filippo Gazzola and published by Società Editrice Esculapio. This book was released on 2023-02-09 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential equations play a relevant role in many disciplines and provide powerful tools for analysis and modeling in applied sciences. The book contains several classical and modern methods for the study of ordinary and partial differential equations. A broad space is reserved to Fourier and Laplace transforms together with their applications to the solution of boundary value and/or initial value problems for differential equations. Basic prerequisites concerning analytic functions of complex variable and Lp spaces are synthetically presented in the first two chapters. Techniques based on integral transforms and Fourier series are presented in specific chapters, first in the easier framework of integrable functions and later in the general framework of distributions. The less elementary distributional context allows to deal also with differential equations with highly irregular data and pulse signals. The theory is introduced concisely, while learning of miscellaneous methods is achieved step-by-step through the proposal of many exercises of increasing difficulty. Additional recap exercises are collected in dedicated sections. Several tables for easy reference of main formulas are available at the end of the book. The presentation is oriented mainly to students of Schools in Engineering, Sciences and Economy. The partition of various topics in several self-contained and independent sections allows an easy splitting in at least two didactic modules: one at undergraduate level, the other at graduate level. This text is the English translation of last edition of the Italian book “Analisi Complessa, Trasformate, Equazioni Differenziali”.
Download or read book Elementi di analisi matematica written by Giovanni Prodi and published by . This book was released on 1982 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Appunti di analisi superiore written by Giulio Aruffo and published by . This book was released on 1976 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt:
