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Ger Probleme Und Grundlehren D
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Book Synopsis Aspects of Boundary Problems in Analysis and Geometry by : Juan Gil
Download or read book Aspects of Boundary Problems in Analysis and Geometry written by Juan Gil and published by Birkhäuser. This book was released on 2012-12-06 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt: Boundary problems constitute an essential field of common mathematical interest, they lie in the center of research activities both in analysis and geometry. This book encompasses material from both disciplines, and focuses on their interactions which are particularly apparent in this field. Moreover, the survey style of the contributions makes the topics accessible to a broad audience with a background in analysis or geometry, and enables the reader to get a quick overview.
Book Synopsis Theory of Complex Functions by : Reinhold Remmert
Download or read book Theory of Complex Functions written by Reinhold Remmert and published by Springer Science & Business Media. This book was released on 1991 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: Material from function theory up to residue calculus is covered here in a lively and vivid style. Also included is ample discussion of the historical evolution of the theory, biographical sketches of important contributors, and citations (original language together with English translation) from their classical works. Students making their way into a classical area of mathematics will find Theory of Complex Functions very useful. It includes many examples and practice exercises, and offers quick access to essential results. Teachers and mathematicians will also enjoy reading this book.
Book Synopsis Mathematics via Problems by : Mikhail B. Skopenkov
Download or read book Mathematics via Problems written by Mikhail B. Skopenkov and published by American Mathematical Society, Simons Laufer Mathematical Sciences Institute (SLMath, formerly MSRI). This book was released on 2023-11-17 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a translation from Russian of Part III of the book Mathematics via Problems: From Olympiads and Math Circles to Profession. Part I, Algebra, and Part II, Geometry, have been published in the same series. The main goal of this book is to develop important parts of mathematics through problems. The authors tried to put together sequences of problems that allow high school students (and some undergraduates) with strong interest in mathematics to discover such topics in combinatorics as counting, graphs, constructions and invariants in combinatorics, games and algorithms, probabilistic aspects of combinatorics, and combinatorial geometry. Definitions and/or references for material that is not standard in the school curriculum are included. To help students that might be unfamiliar with new material, problems are carefully arranged to provide gradual introduction into each subject. Problems are often accompanied by hints and/or complete solutions. The book is based on classes taught by the authors at different times at the Independent University of Moscow, at a number of Moscow schools and math circles, and at various summer schools. It can be used by high school students and undergraduates, their teachers, and organizers of summer camps and math circles. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, SLMath (formerly MSRI) and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession.
Book Synopsis A Complex Analysis Problem Book by : Daniel Alpay
Download or read book A Complex Analysis Problem Book written by Daniel Alpay and published by Birkhäuser. This book was released on 2016-10-26 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition presents a collection of exercises on the theory of analytic functions, including completed and detailed solutions. It introduces students to various applications and aspects of the theory of analytic functions not always touched on in a first course, while also addressing topics of interest to electrical engineering students (e.g., the realization of rational functions and its connections to the theory of linear systems and state space representations of such systems). It provides examples of important Hilbert spaces of analytic functions (in particular the Hardy space and the Fock space), and also includes a section reviewing essential aspects of topology, functional analysis and Lebesgue integration. Benefits of the 2nd edition Rational functions are now covered in a separate chapter. Further, the section on conformal mappings has been expanded.
Book Synopsis Jacobi Matrices and the Moment Problem by : Yurij M. Berezansky
Download or read book Jacobi Matrices and the Moment Problem written by Yurij M. Berezansky and published by Springer Nature. This book was released on 2024-01-06 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents the solution of the classical moment problem, the construction of Jacobi matrices and corresponding polynomials. The cases of strongly,trigonometric, complex and real two-dimensional moment problems are discussed, and the Jacobi-type matrices corresponding to the trigonometric moment problem are shown. The Berezansky theory of the expansion in generalized eigenvectors for corresponding set of commuting operators plays the key role in the proof of results. The book is recommended for researchers in fields of functional analysis, operator theory, mathematical physics, and engineers who deal with problems of coupled pendulums.
Download or read book German Books written by and published by . This book was released on 1925 with total page 800 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Monthly Bulletin of German Literature by : Garrigue & Christern
Download or read book Monthly Bulletin of German Literature written by Garrigue & Christern and published by . This book was released on 1858 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An Elementary Recursive Bound for Effective Positivstellensatz and Hilbert’s 17th Problem by : Henri Lombardi
Download or read book An Elementary Recursive Bound for Effective Positivstellensatz and Hilbert’s 17th Problem written by Henri Lombardi and published by American Mathematical Soc.. This book was released on 2020-04-03 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors prove an elementary recursive bound on the degrees for Hilbert's 17th problem. More precisely they express a nonnegative polynomial as a sum of squares of rational functions and obtain as degree estimates for the numerators and denominators the following tower of five exponentials 222d4k where d is the number of variables of the input polynomial. The authors' method is based on the proof of an elementary recursive bound on the degrees for Stengle's Positivstellensatz. More precisely the authors give an algebraic certificate of the emptyness of the realization of a system of sign conditions and obtain as degree bounds for this certificate a tower of five exponentials, namely 22(2max{2,d}4k+s2kmax{2,d}16kbit(d)) where d is a bound on the degrees, s is the number of polynomials and k is the number of variables of the input polynomials.
Book Synopsis Problem Book in the Theory of Functions by : Konrad Knopp
Download or read book Problem Book in the Theory of Functions written by Konrad Knopp and published by . This book was released on 1948 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Periodic Differential Operators by : B. Malcolm Brown
Download or read book Periodic Differential Operators written by B. Malcolm Brown and published by Springer Science & Business Media. This book was released on 2012-10-30 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: Periodic differential operators have a rich mathematical theory as well as important physical applications. They have been the subject of intensive development for over a century and remain a fertile research area. This book lays out the theoretical foundations and then moves on to give a coherent account of more recent results, relating in particular to the eigenvalue and spectral theory of the Hill and Dirac equations. The book will be valuable to advanced students and academics both for general reference and as an introduction to active research topics.
Download or read book Selecta written by Heinz Bauer and published by Walter de Gruyter. This book was released on 2012-05-24 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt: Heinz Bauer (1928-2002) was one of the prominent figures in Convex Analysis and Potential Theory in the second half of the 20th century. The Bauer minimum principle and Bauer's work on Silov's boundary and the Dirichlet problem are milestones in convex analysis. Axiomatic potential theory owes him what is known by now as Bauer harmonic spaces. These Selecta collect more than twenty of Bauer's research papers including his seminal papers in Convex Analysis and Potential Theory. Above his research contributions Bauer is best known for his art of writing survey articles. Five of his surveys on different topics are reprinted in this volume. Among them is the well-known article Approximation and Abstract Boundary, for which he was awarded with the Chauvenet Price by the American Mathematical Association in 1980.
Download or read book Knots written by Gerhard Burde and published by Walter de Gruyter. This book was released on 2013-11-27 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 3. edition is an introduction to classical knot theory. It contains many figures and some tables of invariants of knots. This comprehensive account is an indispensable reference source for anyone interested in both classical and modern knot theory. Most of the topics considered in the book are developed in detail; only the main properties of fundamental groups and some basic results of combinatorial group theory are assumed to be known.
Book Synopsis Proceedings Of The International Congress Of Mathematicians 2018 (Icm 2018) (In 4 Volumes) by : Sirakov Boyan
Download or read book Proceedings Of The International Congress Of Mathematicians 2018 (Icm 2018) (In 4 Volumes) written by Sirakov Boyan and published by World Scientific. This book was released on 2019-02-27 with total page 5396 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Proceedings of the ICM publishes the talks, by invited speakers, at the conference organized by the International Mathematical Union every 4 years. It covers several areas of Mathematics and it includes the Fields Medal and Nevanlinna, Gauss and Leelavati Prizes and the Chern Medal laudatios.
Book Synopsis Christian Wolff's German Ethics by :
Download or read book Christian Wolff's German Ethics written by and published by Oxford University Press. This book was released on 2024-03-26 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume offers collective exploration of major aspects of Christian Wolff's ethics. It focuses on what is arguably Wolff's most important and influential text on moral philosophy, namely his Rational Thoughts on the Action and Omission of Human Beings for the Promotion of their Happiness, originally published in 1720 and commonly referred to as the German Ethics to distinguish it from his later Latin works on ethics. The contributions cover a range of topics, including the systematic structure of the text itself and the relation between Wolff's ethics and the preceding natural law tradition, and many of the chapters consider the development of the basic tenets of Wolff's moral theory in his later Latin writings. Throughout the volume, special attention is given to the core concepts of Wolff's moral philosophy, such as obligation, perfection, the highest good, and happiness. Other notable topics include Wolff's conception of moral judgment and moral education, as well as the role of psychology and anthropology in his ethical thought. The volume also includes discussion of the influence of Wolff's ethics on subsequent figures such as C.A. Crusius, G.F. Meier, and Kant. As a whole, the volume seeks to show the importance of Wolff's German Ethics within the history of ethics as well as inspire others to engage with his thought.
Book Synopsis Linear Holomorphic Partial Differential Equations and Classical Potential Theory by : Dmitry Khavinson
Download or read book Linear Holomorphic Partial Differential Equations and Classical Potential Theory written by Dmitry Khavinson and published by American Mathematical Soc.. This book was released on 2018-07-09 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Why do solutions of linear analytic PDE suddenly break down? What is the source of these mysterious singularities, and how do they propagate? Is there a mean value property for harmonic functions in ellipsoids similar to that for balls? Is there a reflection principle for harmonic functions in higher dimensions similar to the Schwarz reflection principle in the plane? How far outside of their natural domains can solutions of the Dirichlet problem be extended? Where do the continued solutions become singular and why? This book invites graduate students and young analysts to explore these and many other intriguing questions that lead to beautiful results illustrating a nice interplay between parts of modern analysis and themes in “physical” mathematics of the nineteenth century. To make the book accessible to a wide audience including students, the authors do not assume expertise in the theory of holomorphic PDE, and most of the book is accessible to anyone familiar with multivariable calculus and some basics in complex analysis and differential equations.
Book Synopsis Multidimensional Residue Theory and Applications by : Alekos Vidras
Download or read book Multidimensional Residue Theory and Applications written by Alekos Vidras and published by American Mathematical Society. This book was released on 2023-10-18 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: Residue theory is an active area of complex analysis with connections and applications to fields as diverse as partial differential and integral equations, computer algebra, arithmetic or diophantine geometry, and mathematical physics. Multidimensional Residue Theory and Applications defines and studies multidimensional residues via analytic continuation for holomorphic bundle-valued current maps. This point of view offers versatility and flexibility to the tools and constructions proposed, allowing these residues to be defined and studied outside the classical case of complete intersection. The book goes on to show how these residues are algebraic in nature, and how they relate and apply to a wide range of situations, most notably to membership problems, such as the Briançon–Skoda theorem and Hilbert's Nullstellensatz, to arithmetic intersection theory and to tropical geometry. This book will supersede the existing literature in this area, which dates back more than three decades. It will be appreciated by mathematicians and graduate students in multivariate complex analysis. But thanks to the gentle treatment of the one-dimensional case in Chapter 1 and the rich background material in the appendices, it may also be read by specialists in arithmetic, diophantine, or tropical geometry, as well as in mathematical physics or computer algebra.
Book Synopsis Physics of Complex Systems by : Dragutin Mihailović
Download or read book Physics of Complex Systems written by Dragutin Mihailović and published by CRC Press. This book was released on 2023-09-01 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book analyses the physics of complex systems to elaborate the problems encountered in teaching and research. Inspired by the of Kurt Gödel (including his incompleteness theorems) it considers the concept of time, the idea of models and the concept of complexity before trying to assess the state of physics in general. Using both general and practical examples, the idea of information is discussed, emphasizing its physical interpretation, debates ideas in depth using examples and evidence to provide detailed considerations on the topics. Based on the authors’ own research on these topics, this book puts forward the idea that the application of information measures can provide new results in the study of complex systems. Helpful for those already familiar with the concepts who wish to deepen their critical understanding, Physics of Complex Systems will be extremely valuable both for people that are already involved in complex systems and also readers beginning their journey into the subject. This work will encourage readers to follow and continue these ideas, enabling them to investigate the various topics further.
