Visual Complex Analysis

Visual Complex Analysis Author Tristan Needham
ISBN-10 0198534469
Year 1998
Pages 592
Language en
Publisher Oxford University Press
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Now available in paperback, this successful radical approach to complex analysis replaces the standard calculational arguments with new geometric ones. With several hundred diagrams, and far fewer prerequisites than usual, this is the first visual intuitive introduction to complex analysis. Although designed for use by undergraduates in mathematics and science, the novelty of the approach will also interest professional mathematicians.

Visual Complex Functions

Visual Complex Functions Author Elias Wegert
ISBN-10 9783034801805
Year 2012-08-30
Pages 360
Language en
Publisher Springer Science & Business Media
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This book provides a systematic introduction to functions of one complex variable. Its novel feature is the consistent use of special color representations – so-called phase portraits – which visualize functions as images on their domains. Reading Visual Complex Functions requires no prerequisites except some basic knowledge of real calculus and plane geometry. The text is self-contained and covers all the main topics usually treated in a first course on complex analysis. With separate chapters on various construction principles, conformal mappings and Riemann surfaces it goes somewhat beyond a standard programme and leads the reader to more advanced themes. In a second storyline, running parallel to the course outlined above, one learns how properties of complex functions are reflected in and can be read off from phase portraits. The book contains more than 200 of these pictorial representations which endow individual faces to analytic functions. Phase portraits enhance the intuitive understanding of concepts in complex analysis and are expected to be useful tools for anybody working with special functions – even experienced researchers may be inspired by the pictures to new and challenging questions. Visual Complex Functions may also serve as a companion to other texts or as a reference work for advanced readers who wish to know more about phase portraits.

Complex Analysis

Complex Analysis Author Joseph Bak
ISBN-10 1441972889
Year 2010-08-02
Pages 328
Language en
Publisher Springer Science & Business Media
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This unusual and lively textbook offers a clear and intuitive approach to the classical and beautiful theory of complex variables. With very little dependence on advanced concepts from several-variable calculus and topology, the text focuses on the authentic complex-variable ideas and techniques. Accessible to students at their early stages of mathematical study, this full first year course in complex analysis offers new and interesting motivations for classical results and introduces related topics stressing motivation and technique. Numerous illustrations, examples, and now 300 exercises, enrich the text. Students who master this textbook will emerge with an excellent grounding in complex analysis, and a solid understanding of its wide applicability.

Theory of Complex Functions

Theory of Complex Functions Author Reinhold Remmert
ISBN-10 9781461209393
Year 2012-12-06
Pages 458
Language en
Publisher Springer Science & Business Media
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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.

Functions of One Complex Variable

Functions of One Complex Variable Author J.B. Conway
ISBN-10 9781461599722
Year 2012-12-06
Pages 313
Language en
Publisher Springer Science & Business Media
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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.

Introduction to Complex Analysis

Introduction to Complex Analysis Author Hilary A Priestley
ISBN-10 9780198525622
Year 2003
Pages 328
Language en
Publisher Oxford University Press, USA
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Complex analysis is a classic and central area of mathematics, which is studied 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. This is the latest addition to the growing list of Oxford undergraduate textbooks in mathematics, which includes: Biggs: Discrete Mathematics 2nd Edition, Cameron: Introduction to Algebra, Needham: Visual Complex Analysis, Kaye and Wilson: Linear Algebra, Acheson: Elementary Fluid Dynamics, Jordan and Smith: Nonlinear Ordinary Differential Equations, Smith: Numerical Solution of Partial Differential Equations, Wilson: Graphs, Colourings and the Four-Colour Theorem, Bishop: Neural Networks for Pattern Recognition, Gelman and Nolan: Teaching Statistics.

Complex Variables

Complex Variables Author Francis J. Flanigan
ISBN-10 9780486318486
Year 2013-08-16
Pages 384
Language en
Publisher Courier Corporation
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Contents include calculus in the plane; harmonic functions in the plane; analytic functions and power series; singular points and Laurent series; and much more. Numerous problems and solutions. 1972 edition.

Introduction to Circle Packing

Introduction to Circle Packing Author Kenneth Stephenson
ISBN-10 0521823560
Year 2005
Pages 356
Language en
Publisher Cambridge University Press
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Kenneth Stephenson introduces a new mathematical topic known as 'circle packing', taking the reader from first definitions to latest theory, computations and applications.

Problems and Solutions for Complex Analysis

Problems and Solutions for Complex Analysis Author Rami Shakarchi
ISBN-10 9781461215349
Year 2012-12-06
Pages 246
Language en
Publisher Springer Science & Business Media
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All the exercises plus their solutions for Serge Lang's fourth edition of "Complex Analysis," ISBN 0-387-98592-1. The problems in the first 8 chapters are suitable for an introductory course at undergraduate level and cover power series, Cauchy's theorem, Laurent series, singularities and meromorphic functions, the calculus of residues, conformal mappings, and harmonic functions. The material in the remaining 8 chapters is more advanced, with problems on Schwartz reflection, analytic continuation, Jensen's formula, the Phragmen-Lindeloef theorem, entire functions, Weierstrass products and meromorphic functions, the Gamma function and Zeta function. Also beneficial for anyone interested in learning complex analysis.

Visual Analysis of Humans

Visual Analysis of Humans Author Thomas B. Moeslund
ISBN-10 0857299972
Year 2011-10-08
Pages 634
Language en
Publisher Springer Science & Business Media
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This unique text/reference provides a coherent and comprehensive overview of all aspects of video analysis of humans. Broad in coverage and accessible in style, the text presents original perspectives collected from preeminent researchers gathered from across the world. In addition to presenting state-of-the-art research, the book reviews the historical origins of the different existing methods, and predicts future trends and challenges. Features: with a Foreword by Professor Larry Davis; contains contributions from an international selection of leading authorities in the field; includes an extensive glossary; discusses the problems associated with detecting and tracking people through camera networks; examines topics related to determining the time-varying 3D pose of a person from video; investigates the representation and recognition of human and vehicular actions; reviews the most important applications of activity recognition, from biometrics and surveillance, to sports and driver assistance.

Visual Methodologies

Visual Methodologies Author Gillian Rose
ISBN-10 9780857028877
Year 2012
Pages 408
Language en
Publisher SAGE
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The Third Edition of An Introduction to Researching with Visual Materials, a bestselling critical introduction to the study and analysis of visual culture, has been fully revised and updated. Each chapter retains its rigorous examination and demonstration of an individual methodology, while continuing to be clear in structure and lucid in style. Reflecting changes in the way society consumes and creates its visual content, new features include a companion website featuring additional examples of digital and social media and moving images, pedagogical enhancements, additional chapters and expanded coverage on social and new media, and how to use visual materials for research and research presentation, and an expanded focus on how each method can be used in relation to a range of different visual materials. A now classic text, the book appeals to undergraduates, graduates, researchers and academics in all subjects looking to understand and clearly grasp the complex debates and ideas in visual analysis and interpretation.

Mathematics and Its History

Mathematics and Its History Author John Stillwell
ISBN-10 9781441960528
Year 2010-08-02
Pages 662
Language en
Publisher Springer Science & Business Media
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From a review of the second edition: "This book covers many interesting topics not usually covered in a present day undergraduate course, as well as certain basic topics such as the development of the calculus and the solution of polynomial equations. The fact that the topics are introduced in their historical contexts will enable students to better appreciate and understand the mathematical ideas involved...If one constructs a list of topics central to a history course, then they would closely resemble those chosen here." (David Parrott, Australian Mathematical Society) This book offers a collection of historical essays detailing a large variety of mathematical disciplines and issues; it’s accessible to a broad audience. This third edition includes new chapters on simple groups and new sections on alternating groups and the Poincare conjecture. Many more exercises have been added as well as commentary that helps place the exercises in context.