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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
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.
This thorough introduction to complex analysis uses an inviting exposition aimed directly at students, while maintaining the rigor of the material. The text reflects the author's background as an analyst, emphasizing how to do things and why certain topics are important. Unusual features include a section on the relation between Brownian motion and the Dirichlet problem.
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 flexiblelearning 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.
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.
Calculus Made Easy by Silvanus P. Thompson and Martin Gardner has long been the most popular calculus primer. 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.
New tools for managing complexity Does your organization manage complexity by making things more complicated? If so, you are not alone. According to The Boston Consulting Group’s fascinating Complexity Index, business complexity has increased sixfold during the past sixty years. And, all the while, organizational complicatedness—that is, the number of structures, processes, committees, decision-making forums, and systems—has increased by a whopping factor of thirty-five. In their attempt to respond to the increasingly complex performance requirements they face, company leaders have created an organizational labyrinth that makes it more and more difficult to improve productivity and to pursue innovation. It also disengages and demotivates the workforce. Clearly it’s time for leaders to stop trying to manage complexity with their traditional tools and instead better leverage employees' intelligence. This book shows you how and explains the implications for designing and leading organizations. The way to manage complexity, the authors argue, is neither with the hard solutions of another era nor with the soft solutions—such as team building and feel-good “people initiatives”—that often follow in their wake. Based on social sciences (notably economics, game theory, and organizational sociology) and The Boston Consulting Group’s work with more than five hundred companies in more than forty countries and in various industries, authors Yves Morieux and Peter Tollman recommend six simple rules to manage complexity without getting complicated. Showing why the rules work and how to put them into practice, Morieux and Tollman give managers a much-needed tool to reinvigorate people in the face of seemingly endless complexity. Included are detailed examples from companies that have achieved a multiplicative effect on performance by using them. It’s time to manage complexity better. Employ these six simple rules to foster autonomy and cooperation and to effectively handle business complexity. As a result, you will improve productivity, innovate more, reengage your workforce, and seize opportunities to create competitive advantage.
This book provides a rigorous yet elementary introduction to the theory of analytic functions of a single complex variable. While presupposing in its readership a degree of mathematical maturity, it insists on no formal prerequisites beyond a sound knowledge of calculus. Starting from basic definitions, the text slowly and carefully develops the ideas of complex analysis to the point where such landmarks of the subject as Cauchy's theorem, the Riemann mapping theorem, and the theorem of Mittag-Leffler can be treated without sidestepping any issues of rigor. The emphasis throughout is a geometric one, most pronounced in the extensive chapter dealing with conformal mapping, which amounts essentially to a "short course" in that important area of complex function theory. Each chapter concludes with a wide selection of exercises, ranging from straightforward computations to problems of a more conceptual and thought-provoking nature.
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.
Books like Simplify Your Life and Don't Sweat the Small Stuff have encouraged millions of readers to slow down and enjoy life more. Now, Jessica Teich and Brandel France de Bravo help new parents- who barely have time to return a phone call or wash a sock- learn to do less, listen more, and spend focused, fruitful time with their children. Practical and fun to read, Trees Make the Best Mobiles urges parents to treat every task-even diapering and feeding-as a chance to connect with their child, and gives calming advice about hot-button issues from pacifier use to temper tantrums. Parents will be relieved to discover that they don't have to buy lots of stuff-a tree outside a baby's window can serve as a mobile-or shuttle kids from one activity to another. In fact, in today's hectic, high-speed world, children need less "stimulation" and more unhurried interaction with the people who matter most. The authors call their approach "present parenting," because they believe being "present in the moment," without resentment or distraction, is the greatest present any parent can give.