complex analysis and its application pdf

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Complex Variables

Author : H. S. KASANA
ISBN : 8120326415
Genre : Mathematics
File Size : 68. 31 MB
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The second edition of this comprehensive and accessible text continues to offer students a challenging and enjoyable study of complex variables that is infused with perfect balanced coverage of mathematical theory and applied topics. The author explains fundamental concepts and techniques with precision and introduces the students to complex variable theory through conceptual develop-ment of analysis that enables them to develop a thorough understanding of the topics discussed. Geometric interpretation of the results, wherever necessary, has been inducted for making the analysis more accessible. The level of the text assumes that the reader is acquainted with elementary real analysis. Beginning with the revision of the algebra of complex variables, the book moves on to deal with analytic functions, elementary functions, complex integration, sequences, series and infinite products, series expansions, singularities and residues. The application-oriented chapters on sums and integrals, conformal mappings, Laplace transform, and some special topics, provide a practical-use perspective. Enriched with many numerical examples and exercises designed to test the student's comprehension of the topics covered, this book is written for a one-semester course in complex variables for students in the science and engineering disciplines.

Complex Analysis With Applications

Author : Richard A. Silverman
ISBN : 0486647625
Genre : Mathematics
File Size : 33. 19 MB
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The basics of what every scientist and engineer should know, from complex numbers, limits in the complex plane, and complex functions to Cauchy's theory, power series, and applications of residues. 1974 edition.

Partielle Differentialgleichungen Der Geometrie Und Der Physik 1

Author : Friedrich Sauvigny
ISBN : 9783540350279
Genre : Mathematics
File Size : 57. 92 MB
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Author : Eberhard Freitag
ISBN : 9783662073490
Genre : Mathematics
File Size : 54. 87 MB
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Die komplexen Zahlen haben ihre historischen Wurzeln im 16. Jahrhundert, sie entstanden bei dem Versuch, algebmische Gleichungen zu lösen. So führte schon G. CARDANO (1545) formale Ausdrücke wie zum Beispiel 5 ± v'-15 ein, um Lösungen quadratischer und kubischer Gleichungen angeben zu können. R. BOMBELLI rechnete um 1560 bereits systematisch mit diesen Ausdrücken 3 und fand 4 als Lösung der Gleichung x = 15x + 4 in der verschlüsselten Form 4 = ~2 + v'-121 + ~2 - v'-121. Auch bei G. W. LEIBNIZ (1675) findet man Gleichungen dieser Art, wie z. B. VI + v'=3 + Vl- v'=3 = v'6. Im Jahre 1777 führte L. EULER die Bezeichnung i = A für die imaginäre Einheit ein. Der Fachausdruck "komplexe Zahl" stammt von C. F. GAUSS (1831). Die strenge Einführung der komplexen Zahlen als Paare reeller Zahlen geht auf W. R. HAMILTON (1837) zurück. Schon in der reellen Analysis ist es gelegentlich vorteilhaft, komplexe Zahlen einzuführen. Man denke beispielsweise an die Integration rationaler Funktio nen, die auf der Partialbruchentwicklung und damit auf dem Fundamentalsatz der Algebra beruht: Über dem Körper der komplexen Zahlen zerfällt jedes Polynom in ein Produkt von Linearfaktoren.

Complex Analysis And Applications Second Edition

Author : Alan Jeffrey
ISBN : 0849386233
Genre : Mathematics
File Size : 68. 41 MB
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This comprehensive, well-planned text offers broad coverage and a wide range of examples and problems to meet the various needs of undergraduate engineering mathematics and applied mathematics courses as they evolve in line with changes of emphasis and application. Essential results and methods are summarized where appropriate to make the material easily accessible. The book includes not only the standard problems students might expect, but also those that will occur in actual practice when slightly different formulations are involved. The main structure of the text follows the generally established pattern of chapter headings for a book on complex analysis, but the order in which the topics are presented is unique. The approach adopted with this book distinguishes it from other texts in part because of the care that has been taken in how old and new topics are discussed, as well as in the interconnections that are established between the chapters, including their order of presentation. Students will be able to apply their mathematical knowledge more effectively if they understand the interconnections between different branches of mathematics such as engineering mathematics and applied mathematics.

Complex Analysis And Applications

Author : William R. Derrick
ISBN : UOM:39015015684346
Genre : Mathematics
File Size : 87. 41 MB
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Complex Analysis

Author : Joseph Bak
ISBN : 0387947566
Genre : Mathematics
File Size : 69. 2 MB
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This unusually lively textbook introduces the theory of analytic functions, explores its diverse applications and shows the reader how to harness its powerful techniques. The book offers new and interesting motivations for classical results and introduces related topics that do not appear in this form in other texts. For the second edition, the authors have revised some of the existing material and have provided new exercises and solutions.

Analysis Und Mathematische Physik

Author : Hans Triebel
ISBN : 9783034852654
Genre : Juvenile Nonfiction
File Size : 76. 68 MB
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Einf Hrung In Die Komplexe Analysis

Author : Wolfgang Fischer
ISBN : 9783834893772
Genre : Mathematics
File Size : 55. 79 MB
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In den Bachelor-Studiengängen der Mathematik steht für die Komplexe Analysis (Funktionentheorie) oft nur eine einsemestrige 2-stündige Vorlesung zur Verfügung. Dieses Buch eignet sich als Grundlage für eine solche Vorlesung im 2. Studienjahr. Mit einer guten thematischen Auswahl, vielen Beispielen und ausführlichen Erläuterungen gibt dieses Buch eine Darstellung der Komplexen Analysis, die genau die Grundlagen und den wesentlichen Kernbestand dieses Gebietes enthält. Das Buch bietet über diese Grundausbildung hinaus weiteres Lehrmaterial als Ergänzung, sodass es auch für eine 3- oder 4 –stündige Vorlesung geeignet ist. Je nach Hörerkreis kann der Stoff unterschiedlich erweitert werden. So wurden für den „Bachelor Lehramt“ die geometrischen Aspekte der Komplexen Analysis besonders herausgearbeitet.

Complex Analysis For Mathematics And Engineering

Author : John H. Mathews
ISBN : 9781449604455
Genre : Mathematics
File Size : 41. 51 MB
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Intended for the undergraduate student majoring in mathematics, physics or engineering, the Sixth Edition of Complex Analysis for Mathematics and Engineering continues to provide a comprehensive, student-friendly presentation of this interesting area of mathematics. The authors strike a balance between the pure and applied aspects of the subject, and present concepts in a clear writing style that is appropriate for students at the junior/senior level. Through its thorough, accessible presentation and numerous applications, the sixth edition of this classic text allows students to work through even the most difficult proofs with ease. New exercise sets help students test their understanding of the material at hand and assess their progress through the course. Additional Mathematica and Maple exercises, as well as a student study guide are also available online.

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