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Why is the square root of minus one relevant to electrical circuits? Can geometry be used to solve problems in the physical sciences? How could you help a being on a distant planet distinguish left and right? With a clear understanding of mathematics, these questions can be solved. But in many textbooks, mathematical proofs and techniques cloud the issue of understanding the physical principles. This book shows why particular techniques are useful by providing clear and full explanations. The aim is to convey a deeper appreciation of mathematical methods that are applicable to physics and engineering. A wide range of real physical problems are discussed. The author has thirty years experience of teaching mathematics to undergraduates. This book is based on the explanations he has found to be most successful in teaching.
This book, first published in 1998, is the second in a two volume work and introduces integral and differential calculus, waves, matrices, and eigenvectors for undergraduates in physics and engineering. Together, the two volumes cover all the mathematics needed for an introductory course in the physical sciences. The approach taken is to learn through understanding real examples, showing mathematics as a tool for understanding physical systems and their behaviour. The aim is to make the student feel at home with real problems by creating a toolkit through a wide range of examples. The traditional approach of teaching theory for its own sake is not used in this course. Dr. Lyons brings a wealth of teaching experience to this refreshing textbook on the fundamentals of mathematics for physics and engineering.
Challenging the widely-held assumption that Slavoj Žižek's work is far more germane to film and cultural studies than to literary studies, this volume demonstrates the importance of Žižek to literary criticism and theory. The contributors show how Žižek's practice of reading theory and literature through one another allows him to critique, complicate, and advance the understanding of Lacanian psychoanalysis and German Idealism, thereby urging a rethinking of historicity and universality. His methodology has implications for analyzing literature across historical periods, nationalities, and genres and can enrich theoretical frameworks ranging from aesthetics, semiotics, and psychoanalysis to feminism, historicism, postcolonialism, and ecocriticism. The contributors also offer Žižekian interpretations of a wide variety of texts, including Geoffrey Chaucer's Troilus and Criseyde, Shakespeare's The Merchant of Venice, Samuel Beckett's Not I, and William Burroughs's Nova Trilogy. The collection includes an essay by Žižek on subjectivity in Shakespeare and Beckett. Everything You Always Wanted to Know about Literature but Were Afraid to Ask Žižek affirms Žižek's value to literary studies while offering a rigorous model of Žižekian criticism. Contributors. Shawn Alfrey, Daniel Beaumont, Geoff Boucher, Andrew Hageman, Jamil Khader, Anna Kornbluh, Todd McGowan, Paul Megna, Russell Sbriglia, Louis-Paul Willis, Slavoj Žižek
The ancient Greeks gave us our alphabet and much of our scientific, medical and cultural language; they invented democracy, atomic theory, and the rules of logic and geometry; laid the foundations of philosophy, history, tragedy and comedy; and debated everything from the good life and the role of women, to making sense of foreigners and the best form of government, all in the most sophisticated terms. But who were they? In Eureka!, Peter Jones tells their epic story, which begins with the Trojan War and ends with the rise of the Roman Empire, by breaking down each major period into a series of informative nuggets. Along the way he introduces the major figures of the age, including Homer, Socrates, Plato, Aristotle, Alexander the Great, Euclid and Archimedes; explores the Greek myths and the role of the gods;provides fascinating insights into everyday life in ancient times; and shows us the very foundations of Western culture. Eureka! is both entertaining and illuminating, and will delight anyone who ever wanted to know more about our ancient ancestors.
A hilarious reeducation in mathematics-full of joy, jokes, and stick figures-that sheds light on the countless practical and wonderful ways that math structures and shapes our world. In Math With Bad Drawings, Ben Orlin reveals to us what math actually is; its myriad uses, its strange symbols, and the wild leaps of logic and faith that define the usually impenetrable work of the mathematician. Truth and knowledge come in multiple forms: colorful drawings, encouraging jokes, and the stories and insights of an empathetic teacher who believes that math should belong to everyone. Orlin shows us how to think like a mathematician by teaching us a brand-new game of tic-tac-toe, how to understand an economic crises by rolling a pair of dice, and the mathematical headache that ensues when attempting to build a spherical Death Star. Every discussion in the book is illustrated with Orlin's trademark "bad drawings," which convey his message and insights with perfect pitch and clarity. With 24 chapters covering topics from the electoral college to human genetics to the reasons not to trust statistics, Math with Bad Drawings is a life-changing book for the math-estranged and math-enamored alike.
100 ways to get students hooked on math! It happens to the best of us: that one question thats got you stumped. Or maybe you have the answer, but its not all that compelling or convincing. Al Posamentier and his coauthors to the rescue with this handy reference containing fun answers to students 100 most frequently asked math questions. Even if you already have the answers, Als explanations are certain to keep kids hookedand thats what its all about. The questions are all organized around the Common Cores math content standards and relate directly to Numbers and Quantity, Functions, Algebra, Geometry, and Statistics and Probability.
How do you approach a math problem that challenges you? Do you keep trying until you reach a solution? Or are you like Amy, who gets frustrated easily and gives up? Amy is usually a happy and enthusiastic student in grade five who loves to dance, but she is struggling with a tough math assignment. She doesn’t think she is good at math because her classmates always get the answers faster than she does and sometimes she uses her fingers to help her count. Even though her mom tries to help her, Amy is convinced she just cannot do math. She decides not to do the assignment at all since she thinks she wouldn’t do well anyway. As Amy goes about her day, her experiences at ballet class, the playground, and gym class have her thinking back to how she gave up on her math assignment. She starts to notice that hard-work, practice, and dedication lead to success, thanks to her friends and teachers. She soon comes to understand that learning math is no different than learning any other skill in life. With some extra encouragement from her math teacher, a little help from her mom, and a new attitude, Amy realizes that she can do math!
We live in a world of numbers and mathematics, and so we need to work with numbers and some math in almost everything we do, to control our happiness and the direction of our lives. The purpose of Coming Home to Math is to make adults with little technical training more comfortable with math, in using it and enjoying it, and to allay their fears of math, enable their numerical thinking, and convince them that math is fun. A range of important math concepts are presented and explained in simple terms, mostly by using arithmetic, with frequent connections to the real world of personal financial matters, health, gambling, and popular culture.As such, Coming Home to Math is geared to making the general, non-specialist, adult public more comfortable with math, though not to formally train them for new careers or to teach those first learning math. It may also be helpful to liberal arts college students who need to tackle more technical subjects. The range of topics covered may also appeal to scholars who are more math savvy, though it may not challenge them.