In this book, fundamental methods of nonlinear analysis are introduced, discussed and illustrated in straightforward examples. Each method considered is motivated and explained in its general form, but presented in an abstract framework as comprehensively as possible. A large number of methods are applied to boundary value problems for both ordinary and partial differential equations. In this edition we have made minor revisions, added new material and organized the content slightly differently. In particular, we included evolutionary equations and differential equations on manifolds. The applications to partial differential equations follow every abstract framework of the method in question. The text is structured in two levels: a self-contained basic level and an advanced level - organized in appendices - for the more experienced reader. The last chapter contains more involved material and can be skipped by those new to the field. This book serves as both a textbook for graduate-level courses and a reference book for mathematicians, engineers and applied scientists

This textbook is an elementary introduction to the basic principles of partial differential equations. With many illustrationsitintroduces PDEs on an elementary level, enabling the reader to understand what partial differential equations are, where they come from and how they can be solved. The intention is that the reader understands the basic principles which are valid for particular types of PDEs, and to acquire some classical methods to solve them, thus the authors restrict their considerations to fundamental types of equations and basic methods. Only basic facts from calculus and linear ordinary differential equations of first and second order are needed as a prerequisite. The book is addressed to students who intend to specialize in mathematics as well as to students of physics, engineering, and economics.

In this book, fundamental methods of nonlinear analysis are introduced, discussed and illustrated in straightforward examples. Each method considered is motivated and explained in its general form, but presented in an abstract framework as comprehensively as possible. A large number of methods are applied to boundary value problems for both ordinary and partial differential equations. In this edition we have made minor revisions, added new material and organized the content slightly differently.

In particular, we included evolutionary equations and differential equations on manifolds. The applications to partial differential equations follow every abstract framework of the method in question.

The text is structured in two levels: a self-contained basic level and an advanced level - organized in appendices - for the more experienced reader. The last chapter contains more involved material and can be skipped by those new to the field. This book serves as both a textbook for graduate-level courses and a reference book for mathematicians, engineers and applied scientists

This textbook presents a first introduction to PDEs on an elementary level, enabling the reader to understand what partial differential equations are, where they come from and how they can be solved. The intention is that the reader understands the basic principles which are valid for particular types of PDEs, and to acquire some classical methods to solve them, thus the authors restrict their considerations to fundamental types of equations and basic methods. Only basic facts from calculus and linear ordinary differential equations of first and second order are needed as a prerequisite. An elementary introduction to the basic principles of partial differential equations. With many illustrations. The book is addressed to students who intend to specialize in mathematics as well as to students of physics, engineering, and economics.

The series is devoted to the publication of high-level monographs which cover the whole spectrum of current nonlinear analysis and applications in various fields, such as optimization, control theory, systems theory, mechanics, engineering, and other sciences. One of its main objectives is to make available to the professional community expositions of results and foundations of methods that play an important role in both the theory and applications of nonlinear analysis. Contributions which are on the borderline of nonlinear analysis and related fields and which stimulate further research at the crossroads of these areas are particularly welcome. Editor-in-ChiefJurgen Appell, Wurzburg, Germany Honorary and Advisory EditorsCatherine Bandle, Basel, SwitzerlandAlain Bensoussan, Richardson, Texas, USAAvner Friedman, Columbus, Ohio, USAUmberto Mosco, Worcester, Massachusetts, USALouis Nirenberg, New York, USAAlfonso Vignoli, Rome, Italy Editorial BoardManuel del Pino, Bath, UK, and Santiago, ChileMikio Kato, Nagano, JapanWojciech Kryszewski, Torun, PolandVicentiu D. Radulescu, Krakow, PolandSimeon Reich, Haifa, Israel Please submit book proposals to Jurgen Appell. Titles in planning include Lucio Damascelli and Filomena Pacella, Morse Index of Solutions of Nonlinear Elliptic Equations (2019)Tomasz W. Dlotko and Yejuan Wang, Critical Parabolic-Type Problems (2019)Rafael Ortega, Periodic Differential Equations in the Plane: A Topological Perspective (2019)Ireneo Peral Alonso and Fernando Soria, Elliptic and Parabolic Equations Involving the Hardy-Leray Potential (2020)Cyril Tintarev, Profile Decompositions and Cocompactness: Functional-Analytic Theory of Concentration Compactness (2020)Takashi Suzuki, Semilinear Elliptic Equations: Classical and Modern Theories (2021)

In this book, world-renowned theatre artist Pamela Howard OBE shows how her life has always been part of the art of making theatre. Part memoir, part a personal account of artistic creation, it is a work of art in its own right. Its 12 chapters, accompanied by original drawings, offer insights into Pamela Howard's creative world and the journey through life of a celebrated artist, ranging from her early life and influences, to her time at art college and the inspiration she gained from travelling the world. Following the trajectory of her life, the 12 'dreams' are poised between memory and history and give an account of an artist's growth, resilience, working patterns, and life-changing encounters with remarkable personalities and artists, as well as the practical side of working in the theatre, in visual arts and in education. Her art tells unexpected stories of little-noticed people and emigre communities, and makes performance for diverse audiences from the unique experience of one's own life. Pamela Howard's dreams have led her to work across the globe and teach and inspire several generations of theatre makers, scenographers, designers and visual artists. The Art of Making Theatre passes on that inspiration afresh and demonstrates that being an artist is not a one-off project but a way of life.

Dieser Band der Reihe "Mathematik fur Ingenieure und Naturwissenschaftler" fuhrt in die Grundlagen der Thematik Integralgleichungen ein. Dabei handelt es sich um einen Problemkreis, der vom theoretischen Standpunkt aus wichtig ist und auch viele Anwendungen findet. Beim Leser werden Grundkenntnisse aus den Anfangssemestern vorausgesetzt. Bis auf wenige Ausnahmen wird die in diesem Buch dargelegte Theorie fur stetige Funktionen auf kompakten Inter vallen entwickelt. Man kann also problemlos mit dem Riemannschen Integral begriff auskommen. Das Buch besteht aus funf Teilen; jeder der 15 numerierten Abschnitte ist unter gliedert: 7.3 bezeichnet den dritten Unterabschnitt von Abschnitt 7, und (7.3) steht fur die dritte Formel in diesem Abschnitt. In der Einfuhrung wird dem Leser eine erste Begegnung mit Integralgleichun gen ermoeglicht. Ausserdem werden einige Aufgabenstellungen aus der Praxis vorgestellt, deren mathematische Formulierung auf Integralgleichungen fuhrt. Der zweite Teil befasst sich mit der Loesung einiger spezieller Typen von Integral gleichungen. Die Laplace-Transformation wird hier als Werkzeug zur Loesung Volterrascher Gleichungen mit Faltungskern benutzt. Im Fall Fredholmscher Integralgleichungen mit ausgeartetem Kern wird der enge Zusammenhang der Theorie der Integralgleichungen mit der linearen Algebra aufgezeigt. Zum Ab schluss wird dann die Fredholmsche Alternative formuliert. Im folgenden Teil steht die Loesbarkeit von Integralgleichungen im Mittelpunkt.

In this book, world-renowned theatre artist Pamela Howard OBE shows how her life has always been part of the art of making theatre. Part memoir, part a personal account of artistic creation, it is a work of art in its own right. Its 12 chapters, accompanied by original drawings, offer insights into Pamela Howard's creative world and the journey through life of a celebrated artist, ranging from her early life and influences, to her time at art college and the inspiration she gained from travelling the world. Following the trajectory of her life, the 12 'dreams' are poised between memory and history and give an account of an artist's growth, resilience, working patterns, and life-changing encounters with remarkable personalities and artists, as well as the practical side of working in the theatre, in visual arts and in education. Her art tells unexpected stories of little-noticed people and emigre communities, and makes performance for diverse audiences from the unique experience of one's own life. Pamela Howard's dreams have led her to work across the globe and teach and inspire several generations of theatre makers, scenographers, designers and visual artists. The Art of Making Theatre passes on that inspiration afresh and demonstrates that being an artist is not a one-off project but a way of life.

This book presents a series of essays exploring the cultural notion that has come to be known as "Shakespeare." Shakespeare's collaborators are not only those who were his contemporaries but also those who have given new life to his works in a new garb, be it a play, a theatre production, a film, a TV play, a novel, a museum item, or a collection of illustrated strips.The collection presents papers given at an international conference entitled Shakespeare and His Collaborators over the Centuries, which took place at the Faculty of Arts, Masaryk University (Brno, Czech Republic) on February 8-11, 2006. The individual contributions deal with the notion of collaborating with Shakespeare both in a literal as well as figurative sense. The essays in the first section discuss the literary and cultural milieus which were conducive to the creation of Shakespeare's works. The second part discusses early adaptations and variants of Shakespeare's plays while the third section offers a broader range of artistic (as well as idolatrous) repercussions of the Shakespearean canon.