Coloring Book Of Complex Function Representations

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Coloring Book of Complex Function Representations

Author : Julie Barnes
Publisher : MAA Press
ISBN 13 : 9780883855911
Total Pages : 40 pages
Book Rating : 4.8/5 (559 download)

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Book Synopsis Coloring Book of Complex Function Representations by : Julie Barnes

Download or read book Coloring Book of Complex Function Representations written by Julie Barnes and published by MAA Press. This book was released on 2017-12-31 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt: Have you ever seen a mathematical object that was so intriguing that anyone, regardless of mathematical background, could appreciate its aesthetic beauty? If so, did you stop to color it? Now is your chance. Explore the beauty of mathematics in this collection if intricate pictures related to complex-valued functions. Any of these images could pass for designs found in some of the many coloring books for adults seen in stores today and are displayed here for you to color. While looking at the coloring pages, you can read about the author's quest to find interesting images. Their tale includes expeditions on the complex plane, work with families of complex functions, visits to Julia sets, unexpected results from a typo, random explorations, and a final send-off from a well-known cartoon character. Grab your colored pencils and enjoy coloring these functions. There are no incorrect ways to color, and consequently, there are no answers in the back of the book!

Illustrating Mathematics

Author : Diana Davis
Publisher : American Mathematical Soc.
ISBN 13 : 1470461226
Total Pages : 171 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Illustrating Mathematics by : Diana Davis

Download or read book Illustrating Mathematics written by Diana Davis and published by American Mathematical Soc.. This book was released on 2020-10-16 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is for anyone who wishes to illustrate their mathematical ideas, which in our experience means everyone. It is organized by material, rather than by subject area, and purposefully emphasizes the process of creating things, including discussions of failures that occurred along the way. As a result, the reader can learn from the experiences of those who came before, and will be inspired to create their own illustrations. Topics illustrated within include prime numbers, fractals, the Klein bottle, Borromean rings, tilings, space-filling curves, knot theory, billiards, complex dynamics, algebraic surfaces, groups and prime ideals, the Riemann zeta function, quadratic fields, hyperbolic space, and hyperbolic 3-manifolds. Everyone who opens this book should find a type of mathematics with which they identify. Each contributor explains the mathematics behind their illustration at an accessible level, so that all readers can appreciate the beauty of both the object itself and the mathematics behind it.

Visual Complex Functions

Author : Elias Wegert
Publisher : Springer Science & Business Media
ISBN 13 : 3034801807
Total Pages : 360 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Visual Complex Functions by : Elias Wegert

Download or read book Visual Complex Functions written by Elias Wegert and published by Springer Science & Business Media. This book was released on 2012-08-30 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Visual Quantum Mechanics

Author : Bernd Thaller
Publisher : Springer Science & Business Media
ISBN 13 : 0387227709
Total Pages : 283 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Visual Quantum Mechanics by : Bernd Thaller

Download or read book Visual Quantum Mechanics written by Bernd Thaller and published by Springer Science & Business Media. This book was released on 2007-05-08 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Visual Quantum Mechanics" uses the computer-generated animations found on the accompanying material on Springer Extras to introduce, motivate, and illustrate the concepts explained in the book. While there are other books on the market that use Mathematica or Maple to teach quantum mechanics, this book differs in that the text describes the mathematical and physical ideas of quantum mechanics in the conventional manner. There is no special emphasis on computational physics or requirement that the reader know a symbolic computation package. Despite the presentation of rather advanced topics, the book requires only calculus, making complicated results more comprehensible via visualization. The material on Springer Extras provides easy access to more than 300 digital movies, animated illustrations, and interactive pictures. This book along with its extra online materials forms a complete introductory course on spinless particles in one and two dimensions.

The Calculus of Complex Functions

Author : William Johnston
Publisher : American Mathematical Society
ISBN 13 : 1470465655
Total Pages : 456 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis The Calculus of Complex Functions by : William Johnston

Download or read book The Calculus of Complex Functions written by William Johnston and published by American Mathematical Society. This book was released on 2022-04-01 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book introduces complex analysis as a natural extension of the calculus of real-valued functions. The mechanism for doing so is the extension theorem, which states that any real analytic function extends to an analytic function defined in a region of the complex plane. The connection to real functions and calculus is then natural. The introduction to analytic functions feels intuitive and their fundamental properties are covered quickly. As a result, the book allows a surprisingly large coverage of the classical analysis topics of analytic and meromorphic functions, harmonic functions, contour integrals and series representations, conformal maps, and the Dirichlet problem. It also introduces several more advanced notions, including the Riemann hypothesis and operator theory, in a manner accessible to undergraduates. The last chapter describes bounded linear operators on Hilbert and Banach spaces, including the spectral theory of compact operators, in a way that also provides an excellent review of important topics in linear algebra and provides a pathway to undergraduate research topics in analysis. The book allows flexible use in a single semester, full-year, or capstone course in complex analysis. Prerequisites can range from only multivariate calculus to a transition course or to linear algebra or real analysis. There are over one thousand exercises of a variety of types and levels. Every chapter contains an essay describing a part of the history of the subject and at least one connected collection of exercises that together comprise a project-level exploration.

The Road to Reality

Author : Roger Penrose
Publisher : Vintage
ISBN 13 : 0593315308
Total Pages : 1136 pages
Book Rating : 4.5/5 (933 download)

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Book Synopsis The Road to Reality by : Roger Penrose

Download or read book The Road to Reality written by Roger Penrose and published by Vintage. This book was released on 2021-06-09 with total page 1136 pages. Available in PDF, EPUB and Kindle. Book excerpt: **WINNER OF THE 2020 NOBEL PRIZE IN PHYSICS** The Road to Reality is the most important and ambitious work of science for a generation. It provides nothing less than a comprehensive account of the physical universe and the essentials of its underlying mathematical theory. It assumes no particular specialist knowledge on the part of the reader, so that, for example, the early chapters give us the vital mathematical background to the physical theories explored later in the book. Roger Penrose's purpose is to describe as clearly as possible our present understanding of the universe and to convey a feeling for its deep beauty and philosophical implications, as well as its intricate logical interconnections. The Road to Reality is rarely less than challenging, but the book is leavened by vivid descriptive passages, as well as hundreds of hand-drawn diagrams. In a single work of colossal scope one of the world's greatest scientists has given us a complete and unrivalled guide to the glories of the universe that we all inhabit. 'Roger Penrose is the most important physicist to work in relativity theory except for Einstein. He is one of the very few people I've met in my life who, without reservation, I call a genius' Lee Smolin

Visual Complex Analysis

Author : Tristan Needham
Publisher : Oxford University Press
ISBN 13 : 9780198534464
Total Pages : 620 pages
Book Rating : 4.5/5 (344 download)

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Book Synopsis Visual Complex Analysis by : Tristan Needham

Download or read book Visual Complex Analysis written by Tristan Needham and published by Oxford University Press. This book was released on 1997 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: This radical first course on complex analysis brings a beautiful and powerful subject to life by consistently using geometry (not calculation) as the means of explanation. Aimed at undergraduate students in mathematics, physics, and engineering, the book's intuitive explanations, lack of advanced prerequisites, and consciously user-friendly prose style will help students to master the subject more readily than was previously possible. The key to this is the book's use of new geometric arguments in place of the standard calculational ones. These geometric arguments are communicated with the aid of hundreds of diagrams of a standard seldom encountered in mathematical works. A new approach to a classical topic, this work will be of interest to students in mathematics, physics, and engineering, as well as to professionals in these fields.

Trig Function Coloring Book

Author : Sam Damron
Publisher :
ISBN 13 : 9781980985822
Total Pages : 48 pages
Book Rating : 4.9/5 (858 download)

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Book Synopsis Trig Function Coloring Book by : Sam Damron

Download or read book Trig Function Coloring Book written by Sam Damron and published by . This book was released on 2018-05-10 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt: Far from the boring sine and cosine functions you learned in high school, this book presents the swirling beauty of trigonometric functions for your coloring enjoyment. Sine, cosine, and tangent romp through this book, along with their playful counterparts cosecant, secant, and cotangent. Other fabulous functions also make a guest appearance! Hours of coloring entertainment, perfect for both math and art lovers!

Excel in Complex Variables with the Complex Variable Boundary Element Method

Author : B. D. Wilkins
Publisher : WIT Press
ISBN 13 : 1784664510
Total Pages : 290 pages
Book Rating : 4.7/5 (846 download)

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Book Synopsis Excel in Complex Variables with the Complex Variable Boundary Element Method by : B. D. Wilkins

Download or read book Excel in Complex Variables with the Complex Variable Boundary Element Method written by B. D. Wilkins and published by WIT Press. This book was released on 2021-09-22 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using the familiar software Microsoft ® Excel, this book examines the applications of complex variables. Implementation of the included problems in Excel eliminates the “black box” nature of more advanced computer software and programming languages and therefore the reader has the chance to become more familiar with the underlying mathematics of the complex variable problems. This book consists of two parts. In Part I, several topics are covered that one would expect to find in an introductory text on complex variables. These topics include an overview of complex numbers, functions of a complex variable, and the Cauchy integral formula. In particular, attention is given to the study of analytic complex variable functions. This attention is warranted because of the property that the real and imaginary parts of an analytic complex variable function can be used to solve the Laplace partial differential equation (PDE). Laplace's equation is ubiquitous throughout science and engineering as it can be used to model the steady-state conditions of several important transport processes including heat transfer, soil-water flow, electrostatics, and ideal fluid flow, among others. In Part II, a specialty application of complex variables known as the Complex Variable Boundary Element Method (CVBEM) is examined. CVBEM is a numerical method used for solving boundary value problems governed by Laplace's equation. This part contains a detailed description of the CVBEM and a guide through each step of constructing two CVBEM programs in Excel. The writing of these programs is the culminating event of the book. Students of complex variables and anyone with an interest in a novel method for approximating potential functions using the principles of complex variables are the intended audience for this book. The Microsoft Excel applications (including simple programs as well as the CVBEM program) covered will also be of interest in the industry, as these programs are accessible to anybody with Microsoft Office.

Measurement and Representation of Sensations

Author : Hans Colonius
Publisher : Psychology Press
ISBN 13 : 1136871780
Total Pages : 259 pages
Book Rating : 4.1/5 (368 download)

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Book Synopsis Measurement and Representation of Sensations by : Hans Colonius

Download or read book Measurement and Representation of Sensations written by Hans Colonius and published by Psychology Press. This book was released on 2013-05-13 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: Measurement and Representation of Sensations offers a glimpse into the most sophisticated current mathematical approaches to psychophysical problems. In this book, editors Hans Colonius and Ehtibar N. Dzhafarov, top scholars in the field, present a broad spectrum of innovative approaches and techniques to classical problems in psychophysics at different levels of stimulus complexity. The chapters emphasize rigorous mathematical constructions to define psychophysical concepts and relate them to observable phenomena. The techniques presented, both deterministic and probabilistic, are all original and recent. Subjects addressed throughout the six chapters of this volume include: *computing subjective distances from discriminability; *a new psychophysical theory of intensity judgments; *computing subjective distances from two discriminability functions; *an alternative to the model-building approach based on observable probabilities; and *possible forms of perceptual separability developed within a generalization of General Recognition Theory. Measurement and Representation of Sensations is a valuable text for both behavioral scientists and applied mathematicians.

Conformal Mapping

Author : Zeev Nehari
Publisher : Courier Corporation
ISBN 13 : 0486145034
Total Pages : 418 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Conformal Mapping by : Zeev Nehari

Download or read book Conformal Mapping written by Zeev Nehari and published by Courier Corporation. This book was released on 2012-05-23 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Conformal mapping is a field in which pure and applied mathematics are both involved. This book tries to bridge the gulf that many times divides these two disciplines by combining the theoretical and practical approaches to the subject. It will interest the pure mathematician, engineer, physicist, and applied mathematician. The potential theory and complex function theory necessary for a full treatment of conformal mapping are developed in the first four chapters, so the reader needs no other text on complex variables. These chapters cover harmonic functions, analytic functions, the complex integral calculus, and families of analytic functions. Included here are discussions of Green's formula, the Poisson formula, the Cauchy-Riemann equations, Cauchy's theorem, the Laurent series, and the Residue theorem. The final three chapters consider in detail conformal mapping of simply-connected domains, mapping properties of special functions, and conformal mapping of multiply-connected domains. The coverage here includes such topics as the Schwarz lemma, the Riemann mapping theorem, the Schwarz-Christoffel formula, univalent functions, the kernel function, elliptic functions, univalent functions, the kernel function, elliptic functions, the Schwarzian s-functions, canonical domains, and bounded functions. There are many problems and exercises, making the book useful for both self-study and classroom use. The author, former professor of mathematics at Carnegie-Mellon University, has designed the book as a semester's introduction to functions of a complex variable followed by a one-year graduate course in conformal mapping. The material is presented simply and clearly, and the only prerequisite is a good working knowledge of advanced calculus.

A Book of Abstract Algebra

Author : Charles C Pinter
Publisher : Courier Corporation
ISBN 13 : 0486474178
Total Pages : 402 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis A Book of Abstract Algebra by : Charles C Pinter

Download or read book A Book of Abstract Algebra written by Charles C Pinter and published by Courier Corporation. This book was released on 2010-01-14 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. This second edition features additional exercises to improve student familiarity with applications. 1990 edition.

Model Rules of Professional Conduct

Author : American Bar Association. House of Delegates
Publisher : American Bar Association
ISBN 13 : 9781590318737
Total Pages : 216 pages
Book Rating : 4.3/5 (187 download)

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Book Synopsis Model Rules of Professional Conduct by : American Bar Association. House of Delegates

Download or read book Model Rules of Professional Conduct written by American Bar Association. House of Delegates and published by American Bar Association. This book was released on 2007 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Model Rules of Professional Conduct provides an up-to-date resource for information on legal ethics. Federal, state and local courts in all jurisdictions look to the Rules for guidance in solving lawyer malpractice cases, disciplinary actions, disqualification issues, sanctions questions and much more. In this volume, black-letter Rules of Professional Conduct are followed by numbered Comments that explain each Rule's purpose and provide suggestions for its practical application. The Rules will help you identify proper conduct in a variety of given situations, review those instances where discretionary action is possible, and define the nature of the relationship between you and your clients, colleagues and the courts.

Reification and Representation

Author : Graham Cairns
Publisher : Routledge
ISBN 13 : 131740372X
Total Pages : 216 pages
Book Rating : 4.3/5 (174 download)

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Book Synopsis Reification and Representation by : Graham Cairns

Download or read book Reification and Representation written by Graham Cairns and published by Routledge. This book was released on 2018-08-15 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: The relationship between politics and the public relations industry is controversial and, at times, polemic. However, one component of this relationship that has yet to be investigated is the role of architecture. Arguing for a fundamental reconfiguration of our understanding of ‘political architecture’, this book suggests it is not only a question of constructed buildings, but equally a case of mediated imagery. Considered through examples of architecture as a backdrop for photo shoots by politicians in the democracies of the United States and the United Kingdom, this book suggests these images give us both a better understanding of recent developments in the Western political economy and the architectural and urban developments of the late 20th and early 21st Centuries. Using case studies of Margaret Thatcher, Tony Blair, David Cameron, Barack Obama, George W. Bush and Donald Trump, this book represents a ground-breaking triangular analysis that will be essential reading for scholars in architecture, politics, media and communication studies.

Integral Representations For Spatial Models of Mathematical Physics

Author : Vladislav V Kravchenko
Publisher : CRC Press
ISBN 13 : 1000158098
Total Pages : 258 pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis Integral Representations For Spatial Models of Mathematical Physics by : Vladislav V Kravchenko

Download or read book Integral Representations For Spatial Models of Mathematical Physics written by Vladislav V Kravchenko and published by CRC Press. This book was released on 2020-11-26 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a new mathematical theory for the treatment of an ample series of spatial problems of electrodynamics, particle physics, quantum mechanics and elasticity theory. This technique proves to be as powerful for solving the spatial problems of mathematical physics as complex analysis is for solving planar problems. The main analytic tool of the book, a non-harmonic version of hypercomplex analysis recently developed by the authors, is presented in detail. There are given applications of this theory to the boundary value problems of electrodynamics and elasticity theory as well as to the problem of quark confinement. A new approach to the linearization of special classes of the self-duality equation is also considered. Detailed proofs are given throughout. The book contains an extensive bibliography on closely related topics. This book will be of particular interest to academic and professional specialists and students in mathematics and physics who are interested in integral representations for partial differential equations. The book is self-contained and could be used as a main reference for special course seminars on the subject.

The Evolution of Consciousness

Author : Paula Droege
Publisher : Bloomsbury Publishing
ISBN 13 : 1350166790
Total Pages : 256 pages
Book Rating : 4.3/5 (51 download)

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Book Synopsis The Evolution of Consciousness by : Paula Droege

Download or read book The Evolution of Consciousness written by Paula Droege and published by Bloomsbury Publishing. This book was released on 2021-11-04 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Evolution of Consciousness brings together interdisciplinary insights from philosophy, neuroscience, psychology and cognitive science to explain consciousness in terms of the biological function that grounds it in the physical world. Drawing on the novel analogy of a house of cards, Paula Droege pieces together various conceptual questions and shows how they rest on each other to form a coherent, structured argument. She asserts that the mind is composed of unconscious sensory and cognitive representations, which become conscious when they are selected and coordinated into a representation of the present moment. This temporal representation theory deftly bridges the gap between mind and body by highlighting that physical systems are conscious when they can respond flexibly to actions in the present. With examples from evolution, animal cognition, introspection and the free will debate, this is a compelling and animated account of the possible explanations of consciousness, offering answers to the conceptual question of how consciousness can be considered a cognitive process.

Writing Queer Women of Color

Author : Monalesia Earle
Publisher : McFarland
ISBN 13 : 1476636818
Total Pages : 307 pages
Book Rating : 4.4/5 (766 download)

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Book Synopsis Writing Queer Women of Color by : Monalesia Earle

Download or read book Writing Queer Women of Color written by Monalesia Earle and published by McFarland. This book was released on 2019-08-16 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: Queer women of color have historically been underrepresented or excluded completely in fiction and comics. When present, they are depicted as "less than" the white, Eurocentric norm. Drawing on semiotics, queer theory, and gender studies, this book addresses the imbalanced representation of queer women of color in graphic narratives and fiction and explores ways of rewriting queer women of color back into the frame. The author interrogates what it means to be "Other" and how "Othering" can be more creatively resisted.