Complex Analysis


Author: Eberhard Freitag,Rolf Busam
Publisher: Springer Science & Business Media
ISBN: 3540939830
Category: Mathematics
Page: 532
View: 7037
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All needed notions are developed within the book: with the exception of fundamentals which are presented in introductory lectures, no other knowledge is assumed Provides a more in-depth introduction to the subject than other existing books in this area Over 400 exercises including hints for solutions are included

Theory of Complex Functions


Author: Reinhold Remmert
Publisher: Springer Science & Business Media
ISBN: 1461209390
Category: Mathematics
Page: 458
View: 6310
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A lively and vivid look at the material from function theory, including the residue calculus, supported by examples and practice exercises throughout. There is also ample discussion of the historical evolution of the theory, biographical sketches of important contributors, and citations - in the original language with their English translation - from their classical works. Yet the book is far from being a mere history of function theory, and even experts will find a few new or long forgotten gems here. Destined to accompany students making their way into this classical area of mathematics, the book offers quick access to the essential results for exam preparation. Teachers and interested mathematicians in finance, industry and science will profit from reading this again and again, and will refer back to it with pleasure.

Funktionentheorie


Author: Eberhard Freitag,Rolf Busam
Publisher: N.A
ISBN: 9780387506180
Category:
Page: N.A
View: 5713
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A Course in Complex Analysis

From Basic Results to Advanced Topics
Author: Wolfgang Fischer,Jan Cannizzo,Ingo Lieb
Publisher: Springer Science & Business Media
ISBN: 3834886610
Category: Mathematics
Page: 280
View: 5001
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This carefully written textbook is an introduction to the beautiful concepts and results of complex analysis. It is intended for international bachelor and master programmes in Germany and throughout Europe; in the Anglo-American system of university education the content corresponds to a beginning graduate course. The book presents the fundamental results and methods of complex analysis and applies them to a study of elementary and non-elementary functions (elliptic functions, Gamma- and Zeta function including a proof of the prime number theorem …) and – a new feature in this context! – to exhibiting basic facts in the theory of several complex variables. Part of the book is a translation of the authors’ German text “Einführung in die komplexe Analysis”; some material was added from the by now almost “classical” text “Funktionentheorie” written by the authors, and a few paragraphs were newly written for special use in a master’s programme.

Funktionentheorie 1


Author: Reinhold Remmert,Georg Schumacher
Publisher: Springer-Verlag
ISBN: 3642562817
Category: Mathematics
Page: 402
View: 7327
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Diese fünfte Auflage wurde zusammen mit dem zweitgenannten Autor kritisch durchgesehen, ergänzt und verbessert. Die Besprechung zur ersten Auflage ist nach wie vor aktuell. Aus den Besprechungen zur ersten Auflage: "Aufgelockert durch viele Beispiele und Übungsaufgaben, wird die Theorie der Funktionen einer komplexen Veränderlichen bis zum Residuenkalkül entwickelt. Im Zentrum stehen die Integralsätze von Cauchy.... Jeder Paragraph schließt mit historischen Hinweisen, die auch die persönlichen Beziehungen der Beteiligten nicht ausklammern. So erfährt man natürlich die unterschiedlichen Standpunkte von Cauchy und Weierstrass. Neben den Themen, die in keinem Text zur Funktionentheorie fehlen dürfen, findet man auch "Raritäten", etwa: Eisensteins Zugang zu den trigonometrischen Funktionen mittels Reihen oder Ritts Satz über asymptotische Reihenentwicklung, welcher einen berühmten Satz von E. Borel enthält." Elemente der Mathematik

Funktionentheorie 1


Author: Eberhard Freitag,Rolf Busam
Publisher: Springer-Verlag
ISBN: 354032058X
Category: Mathematics
Page: 550
View: 8963
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Die ersten vier Kapitel dieser Darstellung der klassischen Funktionentheorie vermitteln mit minimalem Begriffsaufwand und auf geringen Vorkenntnissen aufbauend zentrale Ergebnisse und Methoden der komplexen Analysis einer Veränderlichen. Sie gipfeln in einem Beweis des kleinen Riemannschen Abbildungssatzes und einer Charakterisierung einfach zusammenhängender Gebiete. Weitere Themen sind: elliptische Funktionen (Weierstraßscher, Jacobischer Ansatz), die elementare Theorie der Modulformen einer Variablen, Anwendungen der Funktionen- auf die Zahlentheorie (einschl. eines Beweises des Primzahlsatzes). Plus: über 400 Übungsaufgaben mit Lösungen.

Holomorphic Functions in the Plane and N-dimensional Space


Author: Klaus Gürlebeck,Klaus Habetha,Wolfgang Sprößig
Publisher: Springer Science & Business Media
ISBN: 3764382716
Category: Mathematics
Page: 394
View: 4355
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During the last 30 years the so-called quaternionic and Clifford or hypercomplex analysis successfully developed to a powerful theory with many applications in analysis, engineering and mathematical physics. This textbook introduces both to classical and higher-dimensional results based on a uniform notion of holomorphy.

Funktionentheorie 2

Riemann ́sche Flächen Mehrere komplexe Variable Abel ́sche Funktionen Höhere Modulformen
Author: Eberhard Freitag
Publisher: Springer-Verlag
ISBN: 3642453074
Category: Mathematics
Page: 526
View: 3200
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Das Buch bietet eine vollständige Darstellung der Funktionentheorie, beginnend mit der Theorie der Riemann`schen Flächen einschließlich Uniformisierungstheorie sowie einer ausführlichen Darstellung der Theorie der kompakten Riemann`schen Flächen, Riemann-Roch`schem Satz, Abel`schem Theorem und Jacobi`schem Umkehrtheorem. Hierdurch motiviert wird eine kurze Einführung in die Funktionentheorie mehrerer Veränderlicher gegeben und dann die Theorie der Abel`schen Funktionen bis hin zum Thetasatz entwickelt. Daran anschließend und hierdurch motiviert wird eine Einführung in die Theorie der höheren Modulfunktionen gegeben.

Vector Analysis


Author: Klaus Jänich
Publisher: Springer Science & Business Media
ISBN: 1475734786
Category: Mathematics
Page: 284
View: 9106
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This book presents modern vector analysis and carefully describes the classical notation and understanding of the theory. It covers all of the classical vector analysis in Euclidean space, as well as on manifolds, and goes on to introduce de Rham Cohomology, Hodge theory, elementary differential geometry, and basic duality. The material is accessible to readers and students with only calculus and linear algebra as prerequisites. A large number of illustrations, exercises, and tests with answers make this book an invaluable self-study source.

Introduction to Differential Topology


Author: T. Bröcker,K. Jänich
Publisher: Cambridge University Press
ISBN: 9780521284707
Category: Mathematics
Page: 160
View: 6540
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This book is intended as an elementary introduction to differential manifolds. The authors concentrate on the intuitive geometric aspects and explain not only the basic properties but also teach how to do the basic geometrical constructions. An integral part of the work are the many diagrams which illustrate the proofs. The text is liberally supplied with exercises and will be welcomed by students with some basic knowledge of analysis and topology.

UN Law on International Sales

The UN Convention on the International Sale of Goods
Author: Peter Schlechtriem,Petra Butler
Publisher: Springer Science & Business Media
ISBN: 9783540499923
Category: Law
Page: 352
View: 8476
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This book describes and analyses the rules and provisions of the United Nation Convention on the International Sale of Goods of 1980 - CISG-. The authors explain the details of the CISG’s text, report the essence of the scholarly discussions of its issues, and, in particular, present numerous cases decided by courts and arbitration tribunals both as illustrations of problems arising under the CISG and as case law interpreting the Convention. The book is mainly intended to be used in teaching, but it can also help practitioners to understand the structure and basic solutions of sales law issues encoded in the CISG.

Zeitschrift für Analysis und ihre Anwendungen


Author: N.A
Publisher: N.A
ISBN: N.A
Category: Mathematical analysis
Page: N.A
View: 7680
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Lehrbuch der Funktionentheorie

Band I: Elemente der Funktionentheorie
Author: Dr. Ludwig Bieberbach
Publisher: Springer-Verlag
ISBN: 3663158853
Category: Mathematics
Page: 316
View: 1635
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Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind. Der Verlag stellt mit diesem Archiv Quellen für die historische wie auch die disziplingeschichtliche Forschung zur Verfügung, die jeweils im historischen Kontext betrachtet werden müssen. Dieser Titel erschien in der Zeit vor 1945 und wird daher in seiner zeittypischen politisch-ideologischen Ausrichtung vom Verlag nicht beworben.

From Holomorphic Functions to Complex Manifolds


Author: Klaus Fritzsche,Hans Grauert
Publisher: Springer Science & Business Media
ISBN: 146849273X
Category: Mathematics
Page: 398
View: 6968
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This introduction to the theory of complex manifolds covers the most important branches and methods in complex analysis of several variables while completely avoiding abstract concepts involving sheaves, coherence, and higher-dimensional cohomology. Only elementary methods such as power series, holomorphic vector bundles, and one-dimensional cocycles are used. Each chapter contains a variety of examples and exercises.

Fourier Transformation for Pedestrians


Author: Tilman Butz
Publisher: Springer
ISBN: 3319169858
Category: Science
Page: 242
View: 4671
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This book is an introduction to Fourier Transformation with a focus on signal analysis, based on the first edition. It is well suited for undergraduate students in physics, mathematics, electronic engineering as well as for scientists in research and development. It gives illustrations and recommendations when using existing Fourier programs and thus helps to avoid frustrations. Moreover, it is entertaining and you will learn a lot unconsciously. Fourier series as well as continuous and discrete Fourier transformation are discussed with particular emphasis on window functions. Filter effects of digital data processing are illustrated. Two new chapters are devoted to modern applications. The first deals with data streams and fractional delays and the second with the back-projection of filtered projections in tomography. There are many figures and mostly easy to solve exercises with solutions.

Topology


Author: Klaus Jänich
Publisher: Springer
ISBN: 9781461270188
Category: Mathematics
Page: 193
View: 8663
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Contents: Introduction. - Fundamental Concepts. - Topological Vector Spaces.- The Quotient Topology. - Completion of Metric Spaces. - Homotopy. - The Two Countability Axioms. - CW-Complexes. - Construction of Continuous Functions on Topological Spaces. - Covering Spaces. - The Theorem of Tychonoff. - Set Theory (by T. Br|cker). - References. - Table of Symbols. -Index.

Linear Algebra


Author: Klaus Jänich
Publisher: Springer Science & Business Media
ISBN: 9780387941288
Category: Mathematics
Page: 204
View: 7415
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The original version of this book, handed out to my students in weekly in stallments, had a certain rugged charm. Now that it is dressed up as a Springer UTM volume, I feel very much like Alfred Dolittle at Eliza's wedding. I hope the reader will still sense the presence of a young lecturer, enthusiastically urging his audience to enjoy linear algebra. The book is structured in various ways. For example, you will find a test in each chapter; you may consider the material up to the test as basic and the material following the test as supplemental. In principle, it should be possible to go from the test directly to the basic material of the next chapter. Since I had a mixed audience of mathematics and physics students, I tried to give each group some special attention, which in the book results in certain sections being marked· "for physicists" or "for mathematicians. " Another structural feature of the text is its division into laconic main text, put in boxes, and more talkative unboxed side text. If you follow just the main text, jumping from box to box, you will find that it makes coherent reading, a real "book within the book," presenting all that I want to teach.

Classical Topics in Complex Function Theory


Author: Reinhold Remmert
Publisher: Springer Science & Business Media
ISBN: 1475729561
Category: Mathematics
Page: 350
View: 6699
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An ideal text for an advanced course in the theory of complex functions, this book leads readers to experience function theory personally and to participate in the work of the creative mathematician. The author includes numerous glimpses of the function theory of several complex variables, which illustrate how autonomous this discipline has become. In addition to standard topics, readers will find Eisenstein's proof of Euler's product formula for the sine function; Wielandts uniqueness theorem for the gamma function; Stirlings formula; Isssas theorem; Besses proof that all domains in C are domains of holomorphy; Wedderburns lemma and the ideal theory of rings of holomorphic functions; Estermanns proofs of the overconvergence theorem and Blochs theorem; a holomorphic imbedding of the unit disc in C3; and Gausss expert opinion on Riemanns dissertation. Remmert elegantly presents the material in short clear sections, with compact proofs and historical comments interwoven throughout the text. The abundance of examples, exercises, and historical remarks, as well as the extensive bibliography, combine to make an invaluable source for students and teachers alike

Find Me I'm Yours


Author: Hillary Carlip
Publisher: RosettaBooks
ISBN: 0795343272
Category: Fiction
Page: 176
View: 7617
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"If you believe in destiny like I do, and you think there's even a remote possibility we're meant to be together, then find me I'm yours." —Mr. WTF In one sentence—one serendipitous moment—everything Mags Marclay, an offbeat, wry, 24-year-old struggling artist living in L.A., has ever known is forever changed as she is led on a treasure hunt to find her soul mate. Find Me I’m Yours is a highly entertaining, unconventional virtual page-turner. Become immersed in Mags’s world through original artwork, hand-written lists, graphics, and Instagram photos within the book. You can go even deeper into the Find Me I’m Yours universe by clicking on embedded links leading to interactive content that’s expertly woven through the novel, including: • Original rom-com style VIDEOS that star the handsome stranger Mags dubs “Mr. WTF,” who gives clues to the hunt. • Thirty-three unique, custom-designed WEBSITES that further the narrative, blur the lines between fiction and reality, and offer endless ways for you to enjoy additional original content, including reality and comedy series featuring A-list talent. • OPPORTUNITIES for you to share your own content (artwork, stories, songs, apologies, wishes, etc.), interact, connect, and personally engage with the story. This revolutionary CLICK LIT® novel was conceived from the get-go as an ever-expanding, multi-platform entertainment experience. Created, written, and designed by award-winning author, artist, and digital innovator Hillary Carlip, and co-created, directed, and produced by Golden Globe-winning and Emmy-nominated TV comedy writer/producer/director Maxine Lapiduss, Find Me I’m Yours is a game changer in the way that stories are told and experienced.

Satanic Weapons Exposed


Author: N. Cindy Trimm
Publisher: Creation House
ISBN: 9781591858232
Category: Religion
Page: 199
View: 5020
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Noted author and Bible teacher, Dr. N. Cindy Trimm instructs readers how to discern the strategies of Satan and the keys to breaking curses in her third volume of The Rules of Engagement series on spiritual warfare. Filled with scriptural reference points, this book is a comprehensive guide that exposes strategic "targets" of the enemy and their after effects. Designed for anyone who desires to gain insight in the areas of warfare and deliverance, can use this tool to expose weapons that Satan successfully uses to affect the quality of our lives. It gives a list of intrinsic, extrinsic, and esoteric weapons the enemy could possibly employ in his attack against you as well as how the enemy utilizes these weapons. Readers will also learn the power of thoughts and emotions, generational curses, and prayer and intercession.