Introduction to Complex Analysis

Author: Hilary A. Priestley

Publisher: Oxford University Press on Demand

ISBN: N.A

Category: Mathematics

Page: 328

View: 6819

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Complex analysis is a classic and central area of mathematics, which is studies 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.

Introduction to Integration

Author: Hilary A. Priestley

Publisher: Oxford University Press

ISBN: 0198501242

Category: Mathematics

Page: 306

View: 781

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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.

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: 9363

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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.

Dubbel

Taschenbuch für den Maschinenbau

Author: Karl-Heinrich Grote,Jörg Feldhusen

Publisher: Springer-Verlag

ISBN: 3642388914

Category: Technology & Engineering

Page: 2072

View: 3390

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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.

Introduction to Modern Analysis

Author: Shmuel Kantorovitz

Publisher: Oxford University Press on Demand

ISBN: 0198526563

Category: Psychology

Page: 434

View: 3798

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This text is based on lectures given by the author at the advanced undergraduate and graduate levels in Measure Theory, Functional Analysis, Banach Algebras, Spectral Theory (of bounded and unbounded operators), Semigroups of Operators, Probability and Mathematical Statistics, and Partial Differential Equations. The first 10 chapters discuss theoretical methods in Measure Theory and Functional Analysis, and contain over 120 end of chapter exercises. The final two chapters apply theory toapplications in Probability Theory and Partial Differential Equations. The Measure Theory chapters discuss the Lebesgue-Radon-Nikodym theorem which is given the Von Neumann Hilbert space proof. Also included are the relatively advanced topics of Haar measure, differentiability of complex Borel measures in Euclidean space with respect to Lebesgue measure, and the Marcinkiewicz' interpolation theorem for operators between Lebesgue spaces. The Functional Analysis chapters cover the usual material on Banach spaces, weak topologies, separation, extremal points, the Stone-Weierstrass theorem, Hilbert spaces, Banach algebras, and Spectral Theory for both bounded and unbounded operators. Relatively advanced topics such as the Gelfand-Naimark-Segal representation theorem and the Von Neumann double commutant theorem are included. The final two chapters deal with applications, where the measure theory and functional analysis methods of the first ten chapters are applied to ProbabilityTheory and the Theory of Distributions and PDE's. Again, some advanced topics are included, such as the Lyapounov Central Limit theorem, the Kolmogoroff "Three Series theorem", the Ehrenpreis-Malgrange-Hormander theorem on fundamental solutions, and Hormander's theory of convolution operators. The Oxford Graduate Texts in Mathematics series aim is to publish textbooks suitable for graduate students in mathematics and its applications. The level of books may range from some suitable for advanced undergraduate courses at one end, to others of interest to research workers. The emphasis is on texts of high mathematical quality in active areas, particularly areas that are not well represented in the literature at present.

Reelle und Komplexe Analysis

Author: Walter Rudin

Publisher: Walter de Gruyter

ISBN: 9783486591866

Category: Analysis - Lehrbuch

Page: 499

View: 3074

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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.

Nature

Author: Sir Norman Lockyer

Publisher: N.A

ISBN: N.A

Category: Electronic journals

Page: N.A

View: 3512

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Harmonic and Complex Analysis and its Applications

Author: Alexander Vasiliev

Publisher: Springer Science & Business Media

ISBN: 331901806X

Category: Mathematics

Page: 358

View: 9517

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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.

Introduction to Metric and Topological Spaces

Author: Wilson Alexander Sutherland,W. A. Sutherland

Publisher: Oxford University Press

ISBN: 9780198531616

Category: Science

Page: 181

View: 1114

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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.

Functions of One Complex Variable I

Author: John B. Conway

Publisher: Springer Science & Business Media

ISBN: 9780387903286

Category: Mathematics

Page: 317

View: 7314

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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: 3194

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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.

Intermediate mathematical analysis

Author: Hugh Ansfrid Thurston

Publisher: Oxford University Press, USA

ISBN: 9780198532910

Category: Mathematics

Page: 164

View: 4566

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This textbook provides a readable, though rigorous, introduction to the differentiation and integration of functions of several complex variables. In addition to presenting the classical theory of the subject, the author includes informal explanations of many proofs along with numerous exercises and problems that will help readers gain an in-depth understanding of the subject. Students are not assumed to have more background than a standard first course in calculus of one variable. Key concepts that are introduced include the composition of functions of several variables, compactness, uniform continuity, and connectivity. The author goes on to develop the theories of differentiation and integration, including Taylor's theorem, Lagrange's multipliers, the implicit function theory, inverse function theorem, iterated integration, improper integrals, and the change of variable theorem for integrals. As a special feature, the author offers a logically sound treatment of partial differentiation in Euler's notation. The book concludes with an indication of how the subject may be further developed. With its clear style and fresh approach, this text provides a useful bridge between the elementary calculus of one variable and the theory of functions in abstract spaces.

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: 8964

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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 Oxford Handbook of Archaeological Ceramic Analysis

Author: Alice M. W Hunt

Publisher: Oxford University Press

ISBN: 0191503762

Category: Social Science

Page: 600

View: 1230

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The Oxford Handbook of Archaeological Ceramic Analysis draws together topics and methodologies essential for the socio-cultural, mineralogical, and geochemical analysis of archaeological ceramic. Ceramic is one of the most complex and ubiquitous archaeomaterials in the archaeological record: it occurs around the world and through time in almost every culture and context, from building materials and technological installations to utilitarian wares and votive figurines. For more than 100 years, archaeologists have used ceramic analysis to answer complex questions about economy, subsistence, technological innovation, social organization, and dating. The volume is structured around the themes 'Research design and data analysis', 'Foundational concepts', 'Evaluating ceramic provenance', 'Investigating ceramic manufacture', 'Assessing vessel function', and 'Dating ceramic assemblages'. It provides a common vocabulary and offers practical tools and guidelines for ceramic analysis using techniques and methodologies ranging from network analysis and typology to rehydroxylation dating and inductively coupled plasma mass spectrometry. Each chapter provides the theoretical background and practical guidelines, such as cost and destructiveness of analysis, for each technique, as well as detailed case studies illustrating the application and interpretation of analytical data for answering anthropological questions.

The Foundations of Mathematics

Author: Ian Stewart,David Tall

Publisher: OUP Oxford

ISBN: 0191016489

Category: Mathematics

Page: 432

View: 8850

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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.

A Course in Number Theory

Author: H. E. Rose

Publisher: Oxford University Press

ISBN: 9780198523765

Category: Mathematics

Page: 398

View: 1891

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The second edition of this undergraduate textbook is now available in paperback. Covering up-to-date as well as established material, it is the only textbook which deals with all the main areas of number theory, taught in the third year of a mathematics course. Each chapter ends with acollection of problems, and hints and sketch solutions are provided at the end of the book, together with useful tables.

A Critical Introduction to Translation Studies

Author: Jean Boase-Beier

Publisher: A&C Black

ISBN: 1441141839

Category: Language Arts & Disciplines

Page: 200

View: 2873

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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.