funktionentheorie 2 springer lehrbuch german edition

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Author : Eberhard Freitag
ISBN : 0387506187
Genre :
File Size : 22. 6 MB
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An Introduction To Complex Analysis

Author : Wolfgang Tutschke
ISBN : 9781420057218
Genre : Mathematics
File Size : 40. 47 MB
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Like real analysis, complex analysis has generated methods indispensable to mathematics and its applications. Exploring the interactions between these two branches, this book uses the results of real analysis to lay the foundations of complex analysis and presents a unified structure of mathematical analysis as a whole. To set the groundwork and mitigate the difficulties newcomers often experience, An Introduction to Complex Analysis begins with a complete review of concepts and methods from real analysis, such as metric spaces and the Green-Gauss Integral Formula. The approach leads to brief, clear proofs of basic statements - a distinct advantage for those mainly interested in applications. Alternate approaches, such as Fichera's proof of the Goursat Theorem and Estermann's proof of the Cauchy's Integral Theorem, are also presented for comparison. Discussions include holomorphic functions, the Weierstrass Convergence Theorem, analytic continuation, isolated singularities, homotopy, Residue theory, conformal mappings, special functions and boundary value problems. More than 200 examples and 150 exercises illustrate the subject matter and make this book an ideal text for university courses on complex analysis, while the comprehensive compilation of theories and succinct proofs make this an excellent volume for reference.

Inner Product Spaces And Applications

Author : T M Rassias
ISBN : 0582317118
Genre : Mathematics
File Size : 80. 43 MB
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In this volume, the contributing authors deal primarily with the interaction among problems of analysis and geometry in the context of inner product spaces. They present new and old characterizations of inner product spaces among normed linear spaces and the use of such spaces in various research problems of pure and applied mathematics. The methods employed are accessible to students familiar with normed linear spaces. Some of the theorems presented are at the same time simple and challenging.

Lineare Optimierung Und Netzwerkoptimierung

Author : Horst W. Hamacher
ISBN : 9783834890313
Genre : Mathematics
File Size : 70. 17 MB
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Ziel des Buches ist es, Grundlagen der Linearen Optimierung einzuführen und einige der klassischen polynomial lösbaren Probleme der Netzwerkoptimierung vorzustellen. Das Buch ist als Basis für zwei Lehrveranstaltungen, die im Modul "Optimierung" im Bachelor-Studium angeboten werden, geeignet. Das Besondere dieses Lehrbuches ist die Tatsache, dass die Textteile parallel auf Deutsch und Englisch formuliert wurden, so dass neben der Vermittlung des Grundwissens in mathematischer Optimierung auch eine Einführung ins Fachenglisch bzw. in die deutsche Sprache stattfindet.

Mittag Leffler Functions Related Topics And Applications

Author : Rudolf Gorenflo
ISBN : 9783662439302
Genre : Mathematics
File Size : 70. 42 MB
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As a result of researchers’ and scientists’ increasing interest in pure as well as applied mathematics in non-conventional models, particularly those using fractional calculus, Mittag-Leffler functions have recently caught the interest of the scientific community. Focusing on the theory of the Mittag-Leffler functions, the present volume offers a self-contained, comprehensive treatment, ranging from rather elementary matters to the latest research results. In addition to the theory the authors devote some sections of the work to the applications, treating various situations and processes in viscoelasticity, physics, hydrodynamics, diffusion and wave phenomena, as well as stochastics. In particular the Mittag-Leffler functions allow us to describe phenomena in processes that progress or decay too slowly to be represented by classical functions like the exponential function and its successors. The book is intended for a broad audience, comprising graduate students, university instructors and scientists in the field of pure and applied mathematics, as well as researchers in applied sciences like mathematical physics, theoretical chemistry, bio-mathematics, theory of control and several other related areas.

A History Of The Calculus Of Variations From The 17th Through The 19th Century

Author : H. H. Goldstine
ISBN : 9781461381068
Genre : Mathematics
File Size : 79. 71 MB
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The calculus of variations is a subject whose beginning can be precisely dated. It might be said to begin at the moment that Euler coined the name calculus of variations but this is, of course, not the true moment of inception of the subject. It would not have been unreasonable if I had gone back to the set of isoperimetric problems considered by Greek mathemati cians such as Zenodorus (c. 200 B. C. ) and preserved by Pappus (c. 300 A. D. ). I have not done this since these problems were solved by geometric means. Instead I have arbitrarily chosen to begin with Fermat's elegant principle of least time. He used this principle in 1662 to show how a light ray was refracted at the interface between two optical media of different densities. This analysis of Fermat seems to me especially appropriate as a starting point: He used the methods of the calculus to minimize the time of passage cif a light ray through the two media, and his method was adapted by John Bernoulli to solve the brachystochrone problem. There have been several other histories of the subject, but they are now hopelessly archaic. One by Robert Woodhouse appeared in 1810 and another by Isaac Todhunter in 1861.

Transcending Tradition Jewish Mathematicians In German Speaking Academic Culture

Author : Birgit Bergmann
ISBN : 9783642224645
Genre : Mathematics
File Size : 88. 64 MB
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A companion publication to the international exhibition "Transcending Tradition: Jewish Mathematicians in German-Speaking Academic Culture", the catalogue explores the working lives and activities of Jewish mathematicians in German-speaking countries during the period between the legal and political emancipation of the Jews in the 19th century and their persecution in Nazi Germany. It highlights the important role Jewish mathematicians played in all areas of mathematical culture during the Wilhelmine Empire and the Weimar Republic, and recalls their emigration, flight or death after 1933.

The Intersection Of History And Mathematics

Author : Sasaki Chikara
ISBN : 9783034875219
Genre : Mathematics
File Size : 45. 89 MB
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Drug Discovery And Evaluation

Author : Hans G. Vogel
ISBN : 9783662033333
Genre : Medical
File Size : 45. 72 MB
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Un Law On International Sales

Author : Peter Schlechtriem
ISBN : 354049992X
Genre : Law
File Size : 68. 55 MB
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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.

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