Download or read book Lectures on Elliptic Partial Differential Equations written by Luigi Ambrosio and published by Springer. This book was released on 2019-01-10 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book originates from the Elliptic PDE course given by the first author at the Scuola Normale Superiore in recent years. It covers the most classical aspects of the theory of Elliptic Partial Differential Equations and Calculus of Variations, including also more recent developments on partial regularity for systems and the theory of viscosity solutions.
Download or read book Guide To Mathematical Methods For Physicists A Advanced Topics And Applications written by Michela Petrini and published by World Scientific. This book was released on 2018-08-29 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a self-contained and rigorous presentation of the main mathematical tools needed to approach many courses at the last year of undergraduate in Physics and MSc programs, from Electromagnetism to Quantum Mechanics. It complements A Guide to Mathematical Methods for Physicists with advanced topics and physical applications. The different arguments are organised in three main sections: Complex Analysis, Differential Equations and Hilbert Spaces, covering most of the standard mathematical method tools in modern physics.One of the purposes of the book is to show how seemingly different mathematical tools like, for instance, Fourier transforms, eigenvalue problems, special functions and so on, are all deeply interconnected. It contains a large number of examples, problems and detailed solutions, emphasising the main purpose of relating concrete physical examples with more formal mathematical aspects.
Download or read book Interpolation Theory written by Alessandra Lunardi and published by Springer. This book was released on 2018-05-05 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the third edition of the 1999 lecture notes of the courses on interpolation theory that the author delivered at the Scuola Normale in 1998 and 1999. In the mathematical literature there are many good books on the subject, but none of them is very elementary, and in many cases the basic principles are hidden below great generality. In this book the principles of interpolation theory are illustrated aiming at simplification rather than at generality. The abstract theory is reduced as far as possible, and many examples and applications are given, especially to operator theory and to regularity in partial differential equations. Moreover the treatment is self-contained, the only prerequisite being the knowledge of basic functional analysis.
Download or read book Symmetry Breaking in the Standard Model written by Franco Strocchi and published by Springer. This book was released on 2019-07-03 with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides a non-perturbative approach to the symmetry breaking in the standard model, in this way avoiding the critical issues which affect the standard presentations. The debated empirical meaning of global and local gauge symmetries is clarified. The absence of Goldstone bosons in the Higgs mechanism is non-perturbatively explained by the validity of Gauss laws obeyed by the currents which generate the relatedglobal gauge symmetry. The solution of the U(1) problem and the vacuum structure in quantum chromodynamics (QCD) are obtained without recourse to the problematic semiclassical instanton approximation, by rather exploiting the topology of the gauge group.
Download or read book Transcriptome Analysis written by Alessandro Cellerino and published by Springer. This book was released on 2018-06-14 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of this book is to be an accessible guide for undergraduate and graduate students to the new field of data-driven biology. Next-generation sequencing technologies have put genome-scale analysis of gene expression into the standard toolbox of experimental biologists. Yet, biological interpretation of high-dimensional data is made difficult by the lack of a common language between experimental and data scientists. By combining theory with practical examples of how specific tools were used to obtain novel insights in biology, particularly in the neurosciences, the book intends to teach students how to design, analyse, and extract biological knowledge from transcriptome sequencing experiments. Undergraduate and graduate students in biomedical and quantitative sciences will benefit from this text as well as academics untrained in the subject.
Download or read book Lecture Notes on Mean Curvature Flow Barriers and Singular Perturbations written by Giovanni Bellettini and published by Springer. This book was released on 2014-05-13 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the book is to study some aspects of geometric evolutions, such as mean curvature flow and anisotropic mean curvature flow of hypersurfaces. We analyze the origin of such flows and their geometric and variational nature. Some of the most important aspects of mean curvature flow are described, such as the comparison principle and its use in the definition of suitable weak solutions. The anisotropic evolutions, which can be considered as a generalization of mean curvature flow, are studied from the view point of Finsler geometry. Concerning singular perturbations, we discuss the convergence of the Allen–Cahn (or Ginsburg–Landau) type equations to (possibly anisotropic) mean curvature flow before the onset of singularities in the limit problem. We study such kinds of asymptotic problems also in the static case, showing convergence to prescribed curvature-type problems.
Download or read book Introduction to Stochastic Analysis and Malliavin Calculus written by Giuseppe Da Prato and published by Springer. This book was released on 2014-07-01 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents an introductory course on differential stochastic equations and Malliavin calculus. The material of the book has grown out of a series of courses delivered at the Scuola Normale Superiore di Pisa (and also at the Trento and Funchal Universities) and has been refined over several years of teaching experience in the subject. The lectures are addressed to a reader who is familiar with basic notions of measure theory and functional analysis. The first part is devoted to the Gaussian measure in a separable Hilbert space, the Malliavin derivative, the construction of the Brownian motion and Itô's formula. The second part deals with differential stochastic equations and their connection with parabolic problems. The third part provides an introduction to the Malliavin calculus. Several applications are given, notably the Feynman-Kac, Girsanov and Clark-Ocone formulae, the Krylov-Bogoliubov and Von Neumann theorems. In this third edition several small improvements are added and a new section devoted to the differentiability of the Feynman-Kac semigroup is introduced. A considerable number of corrections and improvements have been made.
Download or read book Introductory Notes on Valuation Rings and Function Fields in One Variable written by Renata Scognamillo and published by Springer. This book was released on 2014-07-01 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book deals with the (elementary and introductory) theory of valuation rings. As explained in the introduction, this represents a useful and important viewpoint in algebraic geometry, especially concerning the theory of algebraic curves and their function fields. The correspondences of this with other viewpoints (e.g. of geometrical or topological nature) are often indicated, also to provide motivations and intuition for many results. Links with arithmetic are also often indicated. There are three appendices, concerning Hilbert’s Nullstellensatz (for which several proofs are provided), Puiseux series and Dedekind domains. There are also several exercises, often accompanied by hints, which sometimes develop further results not included in full for brevity reasons.
Download or read book Fractional Elliptic Problems with Critical Growth in the Whole of R n written by Serena Dipierro and published by Springer. This book was released on 2017-03-14 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: These lecture notes are devoted to the analysis of a nonlocal equation in the whole of Euclidean space. In studying this equation, all the necessary material is introduced in the most self-contained way possible, giving precise references to the literature when necessary. The results presented are original, but no particular prerequisite or knowledge of the previous literature is needed to read this text. The work is accessible to a wide audience and can also serve as introductory research material on the topic of nonlocal nonlinear equations.
Download or read book General physics relativity astronomy and plasmas written by and published by . This book was released on 1987 with total page 918 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book 20th Century Physics written by Edoardo Amaldi and published by World Scientific. This book was released on 1998 with total page 784 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this important volume, major events and personalities of 20th century physics are portrayed through recollections and historiographical works of one of the most prominent figures of European science. A former student of Enrico Fermi, and a leading personality of physical research and science policy in postwar Italy, Edoardo Amaldi devoted part of his career to documenting, both as witness and as historian, some significant moments of 20th century science. The focus of the book is on the European scene, ranging from nuclear research in Rome in the 1930s to particle physics at CERN, and includes biographies of physicists such as Ettore Majorana, Bruno Touschek and Fritz Houtermans.Edoardo Amaldi (Carpaneto, 1908 - Roma, 1989) was one of the leading figures in twentieth century Italian science. He was conferred his degree in physics at Rome University in 1929 and played an active role (as a member of the team of young physicists known as ?the boys of via Panisperna?) in the fundamental research on artificial induced radioactivity and the properties of neutrons, which won the group's leader Enrico Fermi the Nobel Prize for physics in 1938. Following Fermi's departure for the United States in 1938 and the disruption of the original group, Amaldi took upon himself the task of reorganising the research in physics in the difficult situation of post-war Italy. His own research went from nuclear physics to cosmic ray physics, elementary particles and, in later years, gravitational waves. Active research was for him always coupled to a direct involvement as a statesman of science and an organiser: he was the leading figure in the establishment of INFN (National Institute for Nuclear Physics) and has played a major role, as spokesman of the Italian scientific community, in the creation of CERN, the large European laboratory for high energy physics. He also actively supported the formation of a similar trans-national joint venture in space science, which gave birth to the European Space Agency. In these and several other scientific organisations, he was often entrusted with directive responsibilities. In his later years, he developed a keen interest in the history of his discipline. This gave rise to a rich production of historiographic material, of which a significant sample is collected in this volume.
Download or read book Italian Books and Periodicals written by and published by . This book was released on 1975 with total page 684 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Measure Theory written by Vladimir I. Bogachev and published by Springer Science & Business Media. This book was released on 2007-01-15 with total page 1075 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book giving an exposition of the foundations of modern measure theory offers three levels of presentation: a standard university graduate course, an advanced study containing some complements to the basic course, and, finally, more specialized topics partly covered by more than 850 exercises with detailed hints and references. Bibliographical comments and an extensive bibliography with 2000 works covering more than a century are provided.
Download or read book Rendiconti del Seminario matematico della Universit di Padova written by Università di Padova. Seminario matematico and published by . This book was released on 1972 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Il Nuovo cimento written by and published by . This book was released on 1969 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Rendiconti written by Università di Padova. Facoltà di scienze fisiche, matematiche e naturali. Seminario Matematico and published by . This book was released on 1984 with total page 748 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Bollettino della Unione matematica italiana written by Unione matematica italiana and published by . This book was released on 1972 with total page 802 pages. Available in PDF, EPUB and Kindle. Book excerpt:
