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Complex Made Simple
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Book Synopsis Complex Made Simple by : David C. Ullrich
Download or read book Complex Made Simple written by David C. Ullrich and published by American Mathematical Soc.. This book was released on 2008 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the Dirichlet problem for harmonic functions twice: once using the Poisson integral for the unit disk and again in an informal section on Brownian motion, where the reader can understand intuitively how the Dirichlet problem works for general domains. This book is suitable for a first-year course in complex analysis
Book Synopsis Complex Made Simple by : David C. Ullrich
Download or read book Complex Made Simple written by David C. Ullrich and published by American Mathematical Soc.. This book was released on with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shows the student how to think like an analyst. In many cases, results are discovered or derived, with an explanation of how the students might have found the theorem on their own. Ullrich explains why a proof works. He will also, sometimes, explain why a tempting idea does not work. Looks at the Dirichlet problem for harmonic functions twice: once using the Poisson integral for the unit disk and again in an informal section on Brownian motion, where the reader can understand intuitively how the Dirichlet problem works for general domains.Ullrich also takes considerable care to discuss the modular group, modular function, and covering maps, which become important ingredients in his modern treatment of the often-overlooked original proof of the Big Picard Theorem.
Book Synopsis Complex Numbers Made Simple by : Verity Carr
Download or read book Complex Numbers Made Simple written by Verity Carr and published by Newnes. This book was released on 1996-03-12 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex Numbers lie at the heart of most technical and scientific subjects. This book can be used to teach complex numbers as a course text,a revision or remedial guide, or as a self-teaching work. The author has designed the book to be a flexible learning tool, suitable for A-Level students as well as other students in higher and further education whose courses include a substantial maths component (e.g. BTEC or GNVQ science and engineering courses). Verity Carr has accumulated nearly thirty years of experience teaching mathematics at all levels and has a rare gift for making mathematics simple and enjoyable. At Brooklands College, she has taken a leading role in the development of a highly successful Mathematics Workshop. This series of Made Simple Maths books widens her audience but continues to provide the kind of straightforward and logical approach she has developed over her years of teaching.
Book Synopsis Introduction to the Theory of Differential Inclusions by : Georgi V. Smirnov
Download or read book Introduction to the Theory of Differential Inclusions written by Georgi V. Smirnov and published by American Mathematical Society. This book was released on 2022-02-22 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: A differential inclusion is a relation of the form $dot x in F(x)$, where $F$ is a set-valued map associating any point $x in R^n$ with a set $F(x) subset R^n$. As such, the notion of a differential inclusion generalizes the notion of an ordinary differential equation of the form $dot x = f(x)$. Therefore, all problems usually studied in the theory of ordinary differential equations (existence and continuation of solutions, dependence on initial conditions and parameters, etc.) can be studied for differential inclusions as well. Since a differential inclusion usually has many solutions starting at a given point, new types of problems arise, such as investigation of topological properties of the set of solutions, selection of solutions with given properties, and many others. Differential inclusions play an important role as a tool in the study of various dynamical processes described by equations with a discontinuous or multivalued right-hand side, occurring, in particular, in the study of dynamics of economical, social, and biological macrosystems. They also are very useful in proving existence theorems in control theory. This text provides an introductory treatment to the theory of differential inclusions. The reader is only required to know ordinary differential equations, theory of functions, and functional analysis on the elementary level. Chapter 1 contains a brief introduction to convex analysis. Chapter 2 considers set-valued maps. Chapter 3 is devoted to the Mordukhovich version of nonsmooth analysis. Chapter 4 contains the main existence theorems and gives an idea of the approximation techniques used throughout the text. Chapter 5 is devoted to the viability problem, i.e., the problem of selection of a solution to a differential inclusion that is contained in a given set. Chapter 6 considers the controllability problem. Chapter 7 discusses extremal problems for differential inclusions. Chapter 8 presents stability theory, and Chapter 9 deals with the stabilization problem.
Download or read book Simplexity written by Jeffrey Kluger and published by Hyperion. This book was released on 2009-06-16 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Sure to be a deserved hit among the ever-growing Freakonomics crowd." --Booklist "Kluger makes the modern world comprehensible." --Publishers Weekly "A fascinating journey." --Library Journal Sometimes a complex problem has an easy solution. And sometimes there's more to a simple thing than first appears. In Simplexity, Time senior writer Jeffrey Kluger shows how a drinking straw can save thousands of lives, how a million cars can be on the streets but just a few hundred of them can lead to gridlock, how investors behave like atoms; how arithmetic governs abstract art and physics drives jazz, and why swatting a TV indeed makes it work better. Kluger adeptly translates newly evolving science into a delightful theory of everything that will have you rethinking the rules of business, family, art--your world.
Book Synopsis Function Theory of One Complex Variable by : Robert Everist Greene
Download or read book Function Theory of One Complex Variable written by Robert Everist Greene and published by American Mathematical Soc.. This book was released on 2006 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex analysis is one of the most central subjects in mathematics. It is compelling and rich in its own right, but it is also remarkably useful in a wide variety of other mathematical subjects, both pure and applied. This book is different from others in that it treats complex variables as a direct development from multivariable real calculus. As each new idea is introduced, it is related to the corresponding idea from real analysis and calculus. The text is rich with examples andexercises that illustrate this point. The authors have systematically separated the analysis from the topology, as can be seen in their proof of the Cauchy theorem. The book concludes with several chapters on special topics, including full treatments of special functions, the prime number theorem,and the Bergman kernel. The authors also treat $Hp$ spaces and Painleve's theorem on smoothness to the boundary for conformal maps. This book is a text for a first-year graduate course in complex analysis. It is an engaging and modern introduction to the subject, reflecting the authors' expertise both as mathematicians and as expositors.
Book Synopsis Calculus Made Easy by : Silvanus P. Thompson
Download or read book Calculus Made Easy written by Silvanus P. Thompson and published by St. Martin's Press. This book was released on 2014-03-18 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calculus Made Easy by Silvanus P. Thompson and Martin Gardner has long been the most popular calculus primer, and this major revision of the classic math text makes the subject at hand still more comprehensible to readers of all levels. With a new introduction, three new chapters, modernized language and methods throughout, and an appendix of challenging and enjoyable practice problems, Calculus Made Easy has been thoroughly updated for the modern reader.
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.
Download or read book ACT Made Simple written by Russ Harris and published by New Harbinger Publications. This book was released on 2019-05-01 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: NOTE FROM THE PUBLISHER: Due to the recent illegal counterfeiting of this book, we cannot guarantee book quality when purchased through third-party sellers. Now fully-revised and updated, this second edition of ACT Made Simple includes new information and chapters on self-compassion, flexible perspective taking, working with trauma, and more. Why is it so hard to be happy? Why is life so difficult? Why do humans suffer so much? And what can we realistically do about it? No matter how rewarding your job, as a mental health professional, you may sometimes feel helpless in the face of these questions. You are also well aware of the challenges and frustrations that can present during therapy. If you’re looking for ways to optimize your client sessions, consider joining the many thousands of therapists and life coaches worldwide who are learning acceptance and commitment therapy (ACT). With a focus on mindfulness, client values, and a commitment to change, ACT is proven-effective in treating depression, anxiety, stress, addictions, eating disorders, schizophrenia, borderline personality disorder (BPD), and myriad other psychological issues. It’s also a revolutionary new way to view the human condition—packed full of exciting new tools, techniques, and strategies for promoting profound behavioral change. A practical primer, ideal for ACT newcomers and experienced ACT professionals alike, ACT Made Simple offers clear explanations of the six ACT processes and a set of real-world tips and solutions for rapidly and effectively implementing them in your practice. This book gives you everything you need to start using ACT with your clients for impressive results. Inside, you’ll find: scripts, exercises, metaphors, and worksheets to use with your clients; a session-by-session guide to implementing ACT; transcripts from therapy sessions; guidance for creating your own therapeutic techniques and exercises; and practical tips to overcome “therapy roadblocks.” This book aims to take the complex theory and practice of ACT and make it accessible and enjoyable for therapists and clients.
Book Synopsis Simple Rules for a Complex World by : Richard Allen EPSTEIN
Download or read book Simple Rules for a Complex World written by Richard Allen EPSTEIN and published by Harvard University Press. This book was released on 2009-06-30 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: Too many laws, too many lawyers--that's the necessary consequence of a complex society, or so conventional wisdom has it. Countless pundits insist that any call for legal simplification smacks of nostalgia, sentimentality, or naivete. But the conventional view, the noted legal scholar Richard Epstein tells us, has it exactly backward. The richer texture of modern society allows for more individual freedom and choice. And it allows us to organize a comprehensive legal order capable of meeting the technological and social challenges of today on the basis of just six core principles. In this book, Epstein demonstrates how. The first four rules, which regulate human interactions in ordinary social life, concern the autonomy of the individual, property, contract, and tort. Taken together these rules establish and protect consistent entitlements over all resources, both human and natural. These rules are backstopped by two more rules that permit forced exchanges on payment of just compensation when private or public necessity so dictates. Epstein then uses these six building blocks to clarify many intractable problems in the modern legal landscape. His discussion of employment contracts explains the hidden virtues of contracts at will and exposes the crippling weaknesses of laws regarding collective bargaining, unjust dismissal, employer discrimination, and comparable worth. And his analysis shows how laws governing liability for products and professional services, corporate transactions, and environmental protection have generated unnecessary social strife and economic dislocation by violating these basic principles. Simple Rules for a Complex World offers a sophisticated agenda for comprehensive social reform that undoes much of the mischief of the modern regulatory state. At a time when most Americans have come to distrust and fear government at all levels, Epstein shows how a consistent application of economic and political theory allows us to steer a middle path between too much and too little.
Book Synopsis Systems Thinking Made Simple by : Derek Cabrera
Download or read book Systems Thinking Made Simple written by Derek Cabrera and published by . This book was released on 2018-08-03 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Biology Made Simple by : Rita Mary King
Download or read book Biology Made Simple written by Rita Mary King and published by Crown. This book was released on 2010-02-10 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: Take the frustration out of learning the science of life! Biology is the most fundamental science?yet it’s one of the most complex. Now, Biology Made Simple is here to help science and non-science majors alike understand the science of life. Covering all the major themes of biology—including the cellular basis of life, the interaction of organisms, and the evolutionary process of all beings, Biology Made Simple combines concise explanations with the in-depth coverage needed to understand every aspect of this subject. Topics covered include: unifying themes of biology chemistry for the biologist the living cell DNA evolution genetics animal organization and homeostasis the systems of the body ecology Featuring more than sixty illustrations and at-a-glance chapter reviews, Biology Made Simple will help you master this fascinating science.
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.
Download or read book Simple Rules written by Donald Sull and published by Houghton Mifflin Harcourt. This book was released on 2015 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: Outlines an approach to high-performance problem-solving and decision-making that draws on insights from survival guides, pop culture and other sources. Co-written by the award-winning author of The Upside of Turbulence. 75,000 first printing.
Book Synopsis Complex Variables: Harmonic and Analytic Functions by : Francis J. Flanigan
Download or read book Complex Variables: Harmonic and Analytic Functions written by Francis J. Flanigan and published by . This book was released on 1972 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Marketing Made Simple by : Donald Miller
Download or read book Marketing Made Simple written by Donald Miller and published by HarperCollins Leadership. This book was released on 2020-03-17 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: This guide from New York Times bestselling author Donald Miller, is a must-have for any marketing professional or small business owner who wants grow their business. It will teach you how to create and implement a sales funnel that will increase traffic and drive sales. Every day, your company is losing sales simply because you do not have a clear path to attract new customers. You’re not alone. Based on proven principles from Building a StoryBrand , this 5-part checklist is the ultimate resource for marketing professionals and business owners as they cultivate a sales funnel that flows across key customer touchpoints to effectively develop, strengthen, and communicate their brand’s story to the marketplace. In this book, you will learn: The three stages of customer relationships. How to create and implement the one marketing plan you will never regret. How to develop a sales funnel that attracts the right customers to your business. The power of email and how to create campaigns that result in customer traffic and a growth in brand awareness. The keys to wireframing a website that commands attention and generates conversions. The inability to attract and convert new customers is costing business owners valuable opportunities to grow their brand. This prevents companies, both big and small, from making the sales that are crucial to their survival. With Marketing Made Simple, you will learn everything you need to know to take your business to the next level.
Book Synopsis A Course in Complex Analysis and Riemann Surfaces by : Wilhelm Schlag
Download or read book A Course in Complex Analysis and Riemann Surfaces written by Wilhelm Schlag and published by American Mathematical Society. This book was released on 2014-08-06 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex analysis is a cornerstone of mathematics, making it an essential element of any area of study in graduate mathematics. Schlag's treatment of the subject emphasizes the intuitive geometric underpinnings of elementary complex analysis that naturally lead to the theory of Riemann surfaces. The book begins with an exposition of the basic theory of holomorphic functions of one complex variable. The first two chapters constitute a fairly rapid, but comprehensive course in complex analysis. The third chapter is devoted to the study of harmonic functions on the disk and the half-plane, with an emphasis on the Dirichlet problem. Starting with the fourth chapter, the theory of Riemann surfaces is developed in some detail and with complete rigor. From the beginning, the geometric aspects are emphasized and classical topics such as elliptic functions and elliptic integrals are presented as illustrations of the abstract theory. The special role of compact Riemann surfaces is explained, and their connection with algebraic equations is established. The book concludes with three chapters devoted to three major results: the Hodge decomposition theorem, the Riemann-Roch theorem, and the uniformization theorem. These chapters present the core technical apparatus of Riemann surface theory at this level. This text is intended as a detailed, yet fast-paced intermediate introduction to those parts of the theory of one complex variable that seem most useful in other areas of mathematics, including geometric group theory, dynamics, algebraic geometry, number theory, and functional analysis. More than seventy figures serve to illustrate concepts and ideas, and the many problems at the end of each chapter give the reader ample opportunity for practice and independent study.
