Absolute Value


Book Description

Going against conventional marketing wisdom, Absolute Value reveals what really influences customers today and offers a new framework—the Influence Mix, a totally new way of thinking about consumer decision making and marketing, and about developing more effective business strategies. How people buy things has changed profoundly—yet the fundamental thinking about consumer decision-making and marketing has not. Most marketers still believe that they can shape consumers’ perception and drive their behavior. In this provocative book, Stanford professor Itamar Simonson and bestselling author Emanuel Rosen show why current mantras are losing their relevance. When consumers base their decisions on reviews from other users, easily accessed expert opinions, price comparison apps, and other emerging technologies, everything changes. Absolute Value answers the pressing questions of how to influence customers in this new age. Simonson and Rosen point out the old-school marketing concepts that need to change and explain how a company should design its communication strategy, market research program, and segmentation strategy in the new environment. Filled with deep analysis, case studies, and cutting-edge research, this forward-looking book provides a totally new way of thinking about marketing.




The Cauchy-Schwarz Master Class


Book Description

This lively, problem-oriented text, first published in 2004, is designed to coach readers toward mastery of the most fundamental mathematical inequalities. With the Cauchy-Schwarz inequality as the initial guide, the reader is led through a sequence of fascinating problems whose solutions are presented as they might have been discovered - either by one of history's famous mathematicians or by the reader. The problems emphasize beauty and surprise, but along the way readers will find systematic coverage of the geometry of squares, convexity, the ladder of power means, majorization, Schur convexity, exponential sums, and the inequalities of Hölder, Hilbert, and Hardy. The text is accessible to anyone who knows calculus and who cares about solving problems. It is well suited to self-study, directed study, or as a supplement to courses in analysis, probability, and combinatorics.




Precalculus


Book Description

"Precalculus is intended for college-level precalculus students. Since precalculus courses vary from one institution to the next, we have attempted to meet the needs of as broad an audience as possible, including all of the content that might be covered in any particular course. The result is a comprehensive book that covers more ground than an instructor could likely cover in a typical one- or two-semester course; but instructors should find, almost without fail, that the topics they wish to include in their syllabus are covered in the text. Many chapters of OpenStax College Precalculus are suitable for other freshman and sophomore math courses such as College Algebra and Trigonometry; however, instructors of those courses might need to supplement or adjust the material. OpenStax will also be releasing College Algebra and Algebra and trigonometry titles tailored to the particular scope, sequence, and pedagogy of those courses."--Preface.




Through the Moral Maze


Book Description

"On the ... issue of our pluralistic age -- whether we can continue to believe in absolute value -- Robert Kane has written the most helpful discussion I know. It is clear, cogent, and above all, convincing". -- Huston Smith, author of The World's Religions




Inequalities


Book Description

This book is intended for the Mathematical Olympiad students who wish to prepare for the study of inequalities, a topic now of frequent use at various levels of mathematical competitions. In this volume we present both classic inequalities and the more useful inequalities for confronting and solving optimization problems. An important part of this book deals with geometric inequalities and this fact makes a big difference with respect to most of the books that deal with this topic in the mathematical olympiad. The book has been organized in four chapters which have each of them a different character. Chapter 1 is dedicated to present basic inequalities. Most of them are numerical inequalities generally lacking any geometric meaning. However, where it is possible to provide a geometric interpretation, we include it as we go along. We emphasize the importance of some of these inequalities, such as the inequality between the arithmetic mean and the geometric mean, the Cauchy-Schwarz inequality, the rearrangementinequality, the Jensen inequality, the Muirhead theorem, among others. For all these, besides giving the proof, we present several examples that show how to use them in mathematical olympiad problems. We also emphasize how the substitution strategy is used to deduce several inequalities.




Prophets and Protons


Book Description

This in-depth study shows how new religious movements offer a variety of strategies for reconciling science and religious faith. By the twentieth century, established religious traditions were forced to grappled with the challenges presented by scientific knowledge and innovation. But emerging religions, still led by a living founder to guide them, found news ways to respond to science. The Hare Krishnas, the Unification Church, and Heaven’s Gate each found distinct ways to incorporate major findings of modern American science, understanding it as central to their wider theological and social agendas. In Prophets and Photons, Benjamin Zeller examines how these New Religious Movements (NRMs) crafted their views on science during their founding period, and how those views evolved over time. These NRMs shed light on how religious groups—new, old, alternative, or mainstream—could respond to the tremendous growth of power and prestige of science in late twentieth-century America. In this engrossing book, Zeller carefully shows that religious groups had several methods of creatively responding to science, and that the often-assumed conflict-based model of “science vs. religion” must be replaced by a more nuanced understanding of how religions operate in our modern scientific world.




The Absolute Value of Mike


Book Description

Mike tries so hard to please his father, but the only language his dad seems to speak is calculus. And for a boy with a math learning disability, nothing could be more difficult. When his dad sends him to live with distant relatives in rural Pennsylvania for the summer to work on an engineering project, Mike figures this is his big chance to buckle down and prove himself. But when he gets there, nothing is what he thought it would be. The project has nothing at all to do with engineering, and he finds himself working alongside his wacky eighty-something- year-old aunt, a homeless man, and a punk rock girl as part of a town-wide project to adopt a boy from Romania. Mike may not learn anything about engineering, but what he does learn is far more valuable.




The Collected Works of Eugene Paul Wigner


Book Description

Not only was E.P. Wigner one of the most active creators of 20th century physics, he was also always interested in expressing his opinion in philosophical, political or sociological matters. This volume of his collected works covers a wide selection of his essays.




Valued Fields


Book Description

Absolute values and their completions – such as the p-adic number fields – play an important role in number theory. Krull's generalization of absolute values to valuations made possible applications in other branches of mathematics. In valuation theory, the notion of completion must be replaced by that of "Henselization". This book develops the theory of valuations as well as of Henselizations, based on the skills of a standard graduate course in algebra.




College Algebra


Book Description

College Algebra provides a comprehensive exploration of algebraic principles and meets scope and sequence requirements for a typical introductory algebra course. The modular approach and richness of content ensure that the book meets the needs of a variety of courses. College Algebra offers a wealth of examples with detailed, conceptual explanations, building a strong foundation in the material before asking students to apply what they've learned. Coverage and Scope In determining the concepts, skills, and topics to cover, we engaged dozens of highly experienced instructors with a range of student audiences. The resulting scope and sequence proceeds logically while allowing for a significant amount of flexibility in instruction. Chapters 1 and 2 provide both a review and foundation for study of Functions that begins in Chapter 3. The authors recognize that while some institutions may find this material a prerequisite, other institutions have told us that they have a cohort that need the prerequisite skills built into the course. Chapter 1: Prerequisites Chapter 2: Equations and Inequalities Chapters 3-6: The Algebraic Functions Chapter 3: Functions Chapter 4: Linear Functions Chapter 5: Polynomial and Rational Functions Chapter 6: Exponential and Logarithm Functions Chapters 7-9: Further Study in College Algebra Chapter 7: Systems of Equations and Inequalities Chapter 8: Analytic Geometry Chapter 9: Sequences, Probability and Counting Theory