Seduced By Mathematics: The Enduring Fascination Of Mathematics


Book Description

Seduction is not just an end result, but a process — and in mathematics, both the end results and the process by which those end results are achieved are often charming and elegant.This helps to explain why so many people — not just those for whom math plays a key role in their day-to-day lives — have found mathematics so seductive. Math is unique among all subjects in that it contains end results of amazing insight and power, and lines of reasoning that are clever, charming, and elegant. This book is a collection of those results and lines of reasoning that make us say, 'OMG, that's just amazing,' — because that's what mathematics is to those who love it. In addition, some of the stories about mathematical discoveries and the people who discovered them are every bit as fascinating as the discoveries themselves.This book contains material capable of being appreciated by students in elementary school — as well as some material that will probably be new to even the more mathematically sophisticated. Most of the book can be easily understood by those whose only math courses are algebra and geometry, and who may have missed the magic, enchantment, and wonder that is the special province of mathematics.




Sharpening Everyday Mental/thinking Skills Through Mathematics Problem Solving And Beyond


Book Description

Mathematics is a subject taught from kindergarten through to high school, and yet it is the one subject that most adults are almost proud to admit to not having been very good at, and, therefore, tend to avoid it where they can. However, one of the key factors in mathematics is its ability to enable us to solve everyday problems. When we consider 'the worst-case scenario' of the situation, it is analogous to solving a mathematical problem by considering extremes. Or, we might consider the best path to take from point A to point B, where geometric relationships can be helpful. This book is intended to demonstrate a variety of neglected aspects of mathematics, in order to demonstrate the power and beauty of the field of mathematics beyond where most people, students, and teachers believe is possible.The chapters of the book explore a multitude of topics: unusual arithmetic calculations and shortcuts, entertaining and instructional problem-solving strategies, unusual applications of algebra, and how geometry allows us to better appreciate physical relationships. Only a basic mathematical knowledge is needed to understand these topics and problems; however, the book also demonstrates that, armed with even this level of understanding, our mathematical skills far exceed what we learned at school! The final chapter is the most challenging, and explores a curious problem-solving technique.




Introduction To Chaos, Fractals And Dynamical Systems


Book Description

This book offers a fun and enriching introduction to chaos theory, fractals and dynamical systems, and on the applications of fractals to computer generated graphics and image compression. Introduction to Chaos, Fractals and Dynamical Systems particularly focuses on natural and human phenomenon that can be modeled as fractals, using simple examples to explain the theory of chaos and how it affects all of us. Then, using straightforward mathematic and intuitive descriptions, computer generated graphics and photographs of natural scenes are used to illustrate the beauty of fractals and their importance in our world. Finally, the concept of Dynamical Systems, that is, time-dependent systems, the foundation of Chaos and Fractal, is introduced. Everyday examples are again used to illustrate concepts, and the importance of understanding how these vital systems affect our lives. Throughout the fascinating history of the evolution of chaos theory, fractals and dynamical systems is presented, along with brief introductions to the scientists, mathematicians and engineers who created this knowledge.Introduction to Chaos, Fractals and Dynamical Systems contains ample mathematical definitions, representations, discussions and exercises, so that this book can be used as primary or secondary source in home schooling environments.The book is suitable for homeschooling as a focused course on the subject matter or as a classroom supplement for a variety of courses at the late junior high or early high-school level. For example, in addition to a standalone course on Chaos, Fractals and Dynamical Systems (or similar title), this book could be used with the following courses:The text can also be used in conjunction with mathematics courses for undergraduates for non-science majors. The book can also be used for informal and lively family study and discussion.For each chapter, exercises and things to do are included. These activities range from simple computational tasks to more elaborate computer projects, related activities, biographical research and writing assignments.




Psychology Of Problem Solving, The: The Background To Successful Mathematics Thinking


Book Description

The art or skill of problem solving in mathematics is mostly relegated to the strategies one can use to solve problems in the field. Although this book addresses that issue, it delves deeply into the psychological aspects that affect successful problem-solving. Such topics as decision-making, judgment, and reasoning as well as using memory effectively and a discussion of the thought processes that could help address certain problem-solving situations.Most books that address problem-solving and mathematics focus on the various skills. This book goes beyond that and investigates the psychological aspects to solving problems in mathematics.




The Art Of Seduction


Book Description

Which sort of seducer could you be? Siren? Rake? Cold Coquette? Star? Comedian? Charismatic? Or Saint? This book will show you which. Charm, persuasion, the ability to create illusions: these are some of the many dazzling gifts of the Seducer, the compelling figure who is able to manipulate, mislead and give pleasure all at once. When raised to the level of art, seduction, an indirect and subtle form of power, has toppled empires, won elections and enslaved great minds. In this beautiful, sensually designed book, Greene unearths the two sides of seduction: the characters and the process. Discover who you, or your pursuer, most resembles. Learn, too, the pitfalls of the anti-Seducer. Immerse yourself in the twenty-four manoeuvres and strategies of the seductive process, the ritual by which a seducer gains mastery over their target. Understand how to 'Choose the Right Victim', 'Appear to Be an Object of Desire' and 'Confuse Desire and Reality'. In addition, Greene provides instruction on how to identify victims by type. Each fascinating character and each cunning tactic demonstrates a fundamental truth about who we are, and the targets we've become - or hope to win over. The Art of Seduction is an indispensable primer on the essence of one of history's greatest weapons and the ultimate power trip. From the internationally bestselling author of The 48 Laws of Power, Mastery, and The 33 Strategies Of War.




The Sense of an Ending


Book Description

BOOKER PRIZE WINNER • NATIONAL BESTSELLER • A novel that follows a middle-aged man as he contends with a past he never much thought about—until his closest childhood friends return with a vengeance: one of them from the grave, another maddeningly present. A novel so compelling that it begs to be read in a single setting, The Sense of an Ending has the psychological and emotional depth and sophistication of Henry James at his best, and is a stunning achievement in Julian Barnes's oeuvre. Tony Webster thought he left his past behind as he built a life for himself, and his career has provided him with a secure retirement and an amicable relationship with his ex-wife and daughter, who now has a family of her own. But when he is presented with a mysterious legacy, he is forced to revise his estimation of his own nature and place in the world.




Central European Olympiad, A: The Mathematical Duel


Book Description

This book contains the most interesting problems from the first 24 years of the 'Mathematical Duel', an annual international mathematics competition between the students of four schools: the Gymnázium Mikuláše Koperníka in Bílovec, Czech Republic, the Akademicki Zespół Szkół Ogólnokształcących in Chorzów, Poland, the Bundesrealgymnasium Kepler in Graz, Austria and the Gymnázium Jakuba Škody in Přerov, Czech Republic.The problems are presented by topic, grouped under the headings Geometry, Combinatorics, Number Theory and Algebra, which is typical for olympiad-style competitions.Above all, it is of interest to students preparing for mathematics competitions as well as teachers looking for material to prepare their students, as well as mathematically interested enthusiasts from all walks of life looking for an intellectual challenge.




Lost in Thought


Book Description

An invitation to readers from every walk of life to rediscover the impractical splendors of a life of learning In an overloaded, superficial, technological world, in which almost everything and everybody is judged by its usefulness, where can we turn for escape, lasting pleasure, contemplation, or connection to others? While many forms of leisure meet these needs, Zena Hitz writes, few experiences are so fulfilling as the inner life, whether that of a bookworm, an amateur astronomer, a birdwatcher, or someone who takes a deep interest in one of countless other subjects. Drawing on inspiring examples, from Socrates and Augustine to Malcolm X and Elena Ferrante, and from films to Hitz's own experiences as someone who walked away from elite university life in search of greater fulfillment, Lost in Thought is a passionate and timely reminder that a rich life is a life rich in thought. Today, when even the humanities are often defended only for their economic or political usefulness, Hitz says our intellectual lives are valuable not despite but because of their practical uselessness. And while anyone can have an intellectual life, she encourages academics in particular to get back in touch with the desire to learn for its own sake, and calls on universities to return to the person-to-person transmission of the habits of mind and heart that bring out the best in us. Reminding us of who we once were and who we might become, Lost in Thought is a moving account of why renewing our inner lives is fundamental to preserving our humanity.




Closing of the American Mind


Book Description

The brilliant, controversial, bestselling critique of American culture that “hits with the approximate force and effect of electroshock therapy” (The New York Times)—now featuring a new afterword by Andrew Ferguson in a twenty-fifth anniversary edition. In 1987, eminent political philosopher Allan Bloom published The Closing of the American Mind, an appraisal of contemporary America that “hits with the approximate force and effect of electroshock therapy” (The New York Times) and has not only been vindicated, but has also become more urgent today. In clear, spirited prose, Bloom argues that the social and political crises of contemporary America are part of a larger intellectual crisis: the result of a dangerous narrowing of curiosity and exploration by the university elites. Now, in this twenty-fifth anniversary edition, acclaimed author and journalist Andrew Ferguson contributes a new essay that describes why Bloom’s argument caused such a furor at publication and why our culture so deeply resists its truths today.




Mathematics Across Cultures


Book Description

Mathematics Across Cultures: A History of Non-Western Mathematics consists of essays dealing with the mathematical knowledge and beliefs of cultures outside the United States and Europe. In addition to articles surveying Islamic, Chinese, Native American, Aboriginal Australian, Inca, Egyptian, and African mathematics, among others, the book includes essays on Rationality, Logic and Mathematics, and the transfer of knowledge from East to West. The essays address the connections between science and culture and relate the mathematical practices to the cultures which produced them. Each essay is well illustrated and contains an extensive bibliography. Because the geographic range is global, the book fills a gap in both the history of science and in cultural studies. It should find a place on the bookshelves of advanced undergraduate students, graduate students, and scholars, as well as in libraries serving those groups.