Introduction to Complex Analysis

Author: Hilary A Priestley

Publisher: Oxford University Press, USA

ISBN: 0198525621

Category: Mathematics

Page: 328

View: 1321

Complex analysis is a classic and central area of mathematics, which is studied and exploited in a range of important fields, from number theory to engineering. Introduction to Complex Analysis was first published in 1985, and for this much awaited second edition the text has been considerably expanded, while retaining the style of the original. More detailed presentation is given of elementary topics, to reflect the knowledge base of current students. Exercise sets have been substantially revised and enlarged, with carefully graded exercises at the end of each chapter. This is the latest addition to the growing list of Oxford undergraduate textbooks in mathematics, which includes: Biggs: Discrete Mathematics 2nd Edition, Cameron: Introduction to Algebra, Needham: Visual Complex Analysis, Kaye and Wilson: Linear Algebra, Acheson: Elementary Fluid Dynamics, Jordan and Smith: Nonlinear Ordinary Differential Equations, Smith: Numerical Solution of Partial Differential Equations, Wilson: Graphs, Colourings and the Four-Colour Theorem, Bishop: Neural Networks for Pattern Recognition, Gelman and Nolan: Teaching Statistics.

Introduction to Integration

Author: Hilary A. Priestley

Publisher: Oxford University Press

ISBN: 0198501242

Category: Mathematics

Page: 306

View: 4971

Introduction to integration provides a unified account of integration theory, giving a practical guide to the Lebesgue integral and its uses, with a wealth of illustrative examples and exercises. The book begins with a simplified Lebesgue-style integral (in lieu of the more traditional Riemann integral), intended for a first course in integration. This suffices for elementary applications, and serves as an introduction to the core of the book. The final chapters present selected applications, mostly drawn from Fourier analysis. The emphasis throughout is on integrable functions rather than on measure. The book is designed primarily as an undergraduate or introductory graduate textbook. It is similar in style and level to Priestley's Introduction to complex analysis, for which it provides a companion volume, and is aimed at both pure and applied mathematicians. Prerequisites are the rudiments of integral calculus and a first course in real analysis.
Functional analysis -- Topological linear spaces and related structures -- Graded Fraechet spaces and tame operators

Topics in Several Complex Variables

Author: Zair Ibragimov,Norman Levenberg,Sergey Pinchuk,Azimbay Sadullaev

Publisher: American Mathematical Soc.

ISBN: 1470419270

Category: Functional analysis -- Topological linear spaces and related structures -- Graded Fraechet spaces and tame operators

Page: 156

View: 3386

This volume contains the proceedings of the Special Session on Several Complex Variables, which was held during the first USA-Uzbekistan Conference on Analysis and Mathematical Physics from May 20–23, 2014, at California State University, Fullerton. This volume covers a wide variety of topics in pluripotential theory, symplectic geometry and almost complex structures, integral formulas, holomorphic extension, and complex dynamics. In particular, the reader will find articles on Lagrangian submanifolds and rational convexity, multidimensional residues, S-parabolic Stein manifolds, Segre varieties, and the theory of quasianalytic functions.
Technology & Engineering


Taschenbuch für den Maschinenbau

Author: Karl-Heinrich Grote,Jörg Feldhusen

Publisher: Springer-Verlag

ISBN: 3642388914

Category: Technology & Engineering

Page: 2072

View: 4616

100 Jahre DUBBEL 1914 erschien die erste Auflage des Taschenbuch für den Maschinenbau, herausgegeben von Heinrich Dubbel. Seitdem ist der DUBBEL das Standardwerk der Ingenieure in Studium und Beruf mit den Schwerpunkten „Allgemeiner Maschinenbau“ sowie „Verfahrens- und Systemtechnik“. Die laufende Neubearbeitung garantiert die Dokumentation des aktuellen Stands der Technik. Dieses etablierte Referenzwerk mit „Norm-Charakter“ überzeugt durch - detaillierte Konstruktionszeichnungen - Tabellen und Diagramme mit quantitativen Angaben - Berechnungsverfahren - ein umfangreiches Literaturverzeichnis Der DUBBEL stellt das erforderliche Basis- und Detailwissen des Maschinenbaus zur Verfügung. Für die Jubiläumsauflage wurden alle Kapitel aktualisiert. Neu hinzugekommen ist die Medizintechnik, die fertigungstechnischen Kapitel wurden stark überarbeitet. Auch erhalten die Leser des Werkes Zugang zur MDesign Formelsammlung. Die ausführliche Darstellung der Mathematik ist als DUBBEL Mathematik separat erhältlich.
Analysis - Lehrbuch

Reelle und Komplexe Analysis

Author: Walter Rudin

Publisher: Walter de Gruyter

ISBN: 9783486591866

Category: Analysis - Lehrbuch

Page: 499

View: 6731

Besonderen Wert legt Rudin darauf, dem Leser die Zusammenhänge unterschiedlicher Bereiche der Analysis zu vermitteln und so die Grundlage für ein umfassenderes Verständnis zu schaffen. Das Werk zeichnet sich durch seine wissenschaftliche Prägnanz und Genauigkeit aus und hat damit die Entwicklung der modernen Analysis in nachhaltiger Art und Weise beeinflusst. Der "Baby-Rudin" gehört weltweit zu den beliebtesten Lehrbüchern der Analysis und ist in 13 Sprachen übersetzt. 1993 wurde es mit dem renommierten Steele Prize for Mathematical Exposition der American Mathematical Society ausgezeichnet. Übersetzt von Uwe Krieg.
Electronic journals


Author: Sir Norman Lockyer

Publisher: N.A


Category: Electronic journals

Page: N.A

View: 1927


Introduction to Metric and Topological Spaces

Author: Wilson Alexander Sutherland,W. A. Sutherland

Publisher: Oxford University Press

ISBN: 9780198531616

Category: Science

Page: 181

View: 9426

One of the ways in which topology has influenced other branches of mathematics in the past few decades is by putting the study of continuity and convergence into a general setting. This book introduces metric and topological spaces by describing some of that influence. The aim is to move gradually from familiar real analysis to abstract topological spaces. The book is aimed primarily at the second-year mathematics student, and numerous exercises are included.

Harmonic and Complex Analysis and its Applications

Author: Alexander Vasil'ev

Publisher: Springer Science & Business Media

ISBN: 331901806X

Category: Mathematics

Page: 358

View: 4115

This volume highlights the main results of the research performed within the network “Harmonic and Complex Analysis and its Applications” (HCAA), which was a five-year (2007–2012) European Science Foundation Programme intended to explore and to strengthen the bridge between two scientific communities: analysts with broad backgrounds in complex and harmonic analysis and mathematical physics, and specialists in physics and applied sciences. It coordinated actions for advancing harmonic and complex analysis and for expanding its application to challenging scientific problems. Particular topics considered by this Programme included conformal and quasiconformal mappings, potential theory, Banach spaces of analytic functions and their applications to the problems of fluid mechanics, conformal field theory, Hamiltonian and Lagrangian mechanics, and signal processing. This book is a collection of surveys written as a result of activities of the Programme and will be interesting and useful for professionals and novices in analysis and mathematical physics, as well as for graduate students. Browsing the volume, the reader will undoubtedly notice that, as the scope of the Programme is rather broad, there are many interrelations between the various contributions, which can be regarded as different facets of a common theme.

Functions of One Complex Variable I

Author: John B. Conway

Publisher: Springer Science & Business Media

ISBN: 9780387903286

Category: Mathematics

Page: 317

View: 2128

This book is intended as a textbook for a first course in the theory of functions of one complex variable for students who are mathematically mature enough to understand and execute E - 8 arguments. The actual pre requisites for reading this book are quite minimal; not much more than a stiff course in basic calculus and a few facts about partial derivatives. The topics from advanced calculus that are used (e.g., Leibniz's rule for differ entiating under the integral sign) are proved in detail. Complex Variables is a subject which has something for all mathematicians. In addition to having applications to other parts of analysis, it can rightly claim to be an ancestor of many areas of mathematics (e.g., homotopy theory, manifolds). This view of Complex Analysis as "An Introduction to Mathe matics" has influenced the writing and selection of subject matter for this book. The other guiding principle followed is that all definitions, theorems, etc.

Introduction to Symplectic Topology

Author: Dusa McDuff,Dietmar Salamon

Publisher: Oxford University Press

ISBN: 9780198504511

Category: Mathematics

Page: 486

View: 8008

This second edition, a comprehensive introduction to the subject, has been revised and expanded, with new references and examples added, and theorems included or revised.

Complex Analysis and Geometry

Author: Vincenzo Ancona,Edoardo Ballico,Rosa M Miro-Roig,Alessandro Silva

Publisher: CRC Press

ISBN: 9780582292765

Category: Mathematics

Page: 200

View: 2953

Based on two conferences held in Trento, Italy, this volume contains 13 research papers and two survey papers on complex analysis and complex algebraic geometry. The main topics addressed by these leading researchers include: Mori theory polynomial hull vector bundles q-convexity Lie groups and actions on complex spaces hypercomplex structures pseudoconvex domains projective varieties Peer-reviewed and extensively referenced, Complex Analysis and Geometry contains recent advances and important research results. It also details several problems that remain open, the resolution of which could further advance the field.

The Foundations of Mathematics

Author: Ian Stewart,David Tall

Publisher: OUP Oxford

ISBN: 0191016489

Category: Mathematics

Page: 432

View: 1348

The transition from school mathematics to university mathematics is seldom straightforward. Students are faced with a disconnect between the algorithmic and informal attitude to mathematics at school, versus a new emphasis on proof, based on logic, and a more abstract development of general concepts, based on set theory. The authors have many years' experience of the potential difficulties involved, through teaching first-year undergraduates and researching the ways in which students and mathematicians think. The book explains the motivation behind abstract foundational material based on students' experiences of school mathematics, and explicitly suggests ways students can make sense of formal ideas. This second edition takes a significant step forward by not only making the transition from intuitive to formal methods, but also by reversing the process- using structure theorems to prove that formal systems have visual and symbolic interpretations that enhance mathematical thinking. This is exemplified by a new chapter on the theory of groups. While the first edition extended counting to infinite cardinal numbers, the second also extends the real numbers rigorously to larger ordered fields. This links intuitive ideas in calculus to the formal epsilon-delta methods of analysis. The approach here is not the conventional one of 'nonstandard analysis', but a simpler, graphically based treatment which makes the notion of an infinitesimal natural and straightforward. This allows a further vision of the wider world of mathematical thinking in which formal definitions and proof lead to amazing new ways of defining, proving, visualising and symbolising mathematics beyond previous expectations.
Language Arts & Disciplines

A Critical Introduction to Translation Studies

Author: Jean Boase-Beier

Publisher: A&C Black

ISBN: 1441141839

Category: Language Arts & Disciplines

Page: 200

View: 5731

Jean Boase-Beier's Critical Introduction To Translation Studies demonstrates a keen understanding of theoretical and practical translation. It looks to instances where translation might not be straightforward, where stylistics play an important role. Examples are discussed from works of literature, advertisements, journalism and others, where effects on the reader are central to the text, and are reflected in the style. It begins by setting out some of the basic problems and issues that arise in the study of translation, such as: the difference between literary and non-literary translation; the role of language, content and style; the question of universals and specifics in language and the notion of context. The book then goes on to focus more closely on style and how it enables us to characterise literary texts and literary translation. The final part looks at the translation of poetry. Throughout, it is conscious of the relationship between theory and practice in translation. This book offers a new approach to translation, grounded in stylistics, and it will be an invaluable resource for undergraduates and postgraduates approaching translation studies.


Author: New Zealand Mathematical Society

Publisher: N.A


Category: Mathematics

Page: N.A

View: 4303