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Complex Variables Ii Essentials

Author: Alan D. Solomon
Publisher: Research & Education Assoc.
ISBN: 9780738672175
Size: 64.64 MB
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Includes elementary mappings and mobius transformation, mappings by general functions, conformal mappings and harmonic functions, applying complex functions to applied mathematics, analytic continuation, and analytic function properties.

Functions Of One Complex Variable

Author: J.B. Conway
Publisher: Springer Science & Business Media
ISBN: 1461599725
Size: 55.29 MB
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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 - I) 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.

Classical Complex Analysis

Author: I-Hsiung Lin
Publisher: World Scientific
ISBN: 981426122X
Size: 14.43 MB
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Classical Complex Analysis provides an introduction to one of the remarkable branches of exact science, with an emphasis on the geometric aspects of analytic functions. This volume begins with a geometric description of what a complex number is, followed by a detailed account of algebraic, analytic and geometric properties of standard complex-valued functions. Geometric properties of analytic functions are then developed and described In detail, and various applications of residues are Included; analytic continuation is also introduced. --Book Jacket.

Essential Mathematics For The Physical Sciences Volume 1

Author: Brett Borden
Publisher: Morgan & Claypool Publishers
ISBN: 1681744864
Size: 35.90 MB
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Physics is expressed in the language of mathematics; it is deeply ingrained in how physics is taught and how it's practiced. A study of the mathematics used in science is thus asound intellectual investment for training as scientists and engineers. This first volume of two is centered on methods of solving partial differential equations (PDEs) and the special functions introduced. Solving PDEs can't be done, however, outside of the context in which they apply to physical systems. The solutions to PDEs must conform to boundary conditions, a set of additional constraints in space or time to be satisfied at the boundaries of the system, that small part of the universe under study. The first volume is devoted to homogeneous boundary-value problems (BVPs), homogeneous implying a system lacking a forcing function, or source function. The second volume takes up (in addition to other topics) inhomogeneous problems where, in addition to the intrinsic PDE governing a physical field, source functions are an essential part of the system. This text is based on a course offered at the Naval Postgraduate School (NPS) and while produced for NPS needs, it will serve other universities well. It is based on the assumption that it follows a math review course, and was designed to coincide with the second quarter of student study, which is dominated by BVPs but also requires an understanding of special functions and Fourier analysis.

Complex Analysis In One Variable

Author: Raghavan Narasimhan
Publisher: Springer Science & Business Media
ISBN: 1461201756
Size: 66.87 MB
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The original edition of this book has been out of print for some years. The appear ance of the present second edition owes much to the initiative of Yves Nievergelt at Eastern Washington University, and the support of Ann Kostant, Mathematics Editor at Birkhauser. Since the book was first published, several people have remarked on the absence of exercises and expressed the opinion that the book would have been more useful had exercises been included. In 1997, Yves Nievergelt informed me that, for a decade, he had regularly taught a course at Eastern Washington based on the book, and that he had systematically compiled exercises for his course. He kindly put his work at my disposal. Thus, the present edition appears in two parts. The first is essentially just a reprint of the original edition. I have corrected the misprints of which I have become aware (including those pointed out to me by others), and have made a small number of other minor changes.

Functions Of A Complex Variable And Some Of Their Applications

Author: B. A. Fuchs
Publisher: Elsevier
ISBN: 1483155056
Size: 60.59 MB
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Functions of a Complex Variable and Some of Their Applications, Volume 1, discusses the fundamental ideas of the theory of functions of a complex variable. The book is the result of a complete rewriting and revision of a translation of the second (1957) Russian edition. Numerous changes and additions have been made, both in the text and in the solutions of the Exercises. The book begins with a review of arithmetical operations with complex numbers. Separate chapters discuss the fundamentals of complex analysis; the concept of conformal transformations; the most important of the elementary functions; and the complex potential for a plane vector field and the application of the simplest methods of function theory to the analysis of such a field. Subsequent chapters cover the fundamental apparatus of the theory of regular functions, i.e. basic integral theorems and expansions in series; the general concept of an analytic function; applications of the theory of residues; and polygonal domain mapping. This book is intended for undergraduate and postgraduate students of higher technical institutes and for engineers wishing to increase their knowledge of theory.

Theory Of Functions Of A Complex Variable

Author: C. Caratheodory
Publisher: American Mathematical Soc.
ISBN: 0821828312
Size: 65.58 MB
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This book is a translation by F. Steinhardt of the last of Caratheodory's celebrated text books, Funktiontheorie, Volume 1.

Essential Readings In Light Metals Volume 1 Alumina And Bauxite

Author: Don Donaldson
Publisher: Springer
ISBN: 3319481762
Size: 26.92 MB
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ONE OF A FOUR-BOOK COLLECTION SPOTLIGHTING CLASSIC ARTICLES Five decades of landmark original research findings and reviews Highlighting some of the most important findings reported over the past five decades, this volume features some of the best technical papers published on alumina and bauxite from 1963 to 2011. Papers have been divided into thirteen subject sections for ease of access. Each section has a brief introduction and a list of recommended articles for researchers interested in exploring each subject in greater depth. Only about fifteen percent of the alumina and bauxite papers ever published in Light Metals were chosen for this volume. Selection was based on a rigorous review process. Among the papers, readers will find landmark original research findings and expert reviews summarizing current thinking on key topics at the time of publication. From basic research to advanced applications, the articles published in this volume collectively represent our body of knowledge in alumina and bauxite. Students, scientists, and engineers should turn to this volume to discover the historical development of alumina and bauxite research as well as the current state of the science and the technology. Moreover, the papers published in this volume will serve as a springboard for future research and discoveries.