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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.
First published in 1998.
This book is a reference for librarians, mathematicians, and statisticians involved in college and research level mathematics and statistics in the 21st century. We are in a time of transition in scholarly communications in mathematics, practices which have changed little for a hundred years are giving way to new modes of accessing information. Where journals, books, indexes and catalogs were once the physical representation of a good mathematics library, shelves have given way to computers, and users are often accessing information from remote places. Part I is a historical survey of the past 15 years tracking this huge transition in scholarly communications in mathematics. Part II of the book is the bibliography of resources recommended to support the disciplines of mathematics and statistics. These are grouped by type of material. Publication dates range from the 1800's onwards. Hundreds of electronic resources-some online, both dynamic and static, some in fixed media, are listed among the paper resources. Amazingly a majority of listed electronic resources are free.
This friendly self-help workbook covers mathematics essential to first-year undergraduate scientists and engineers. In the second edition of this highly successful textbook the author has completely revised the existing text and added a totally new chapter on vectors. Mathematics underpins all science and engineering degrees, and this may cause problems for students whose understanding of the subject is weak. In this book Jenny Olive uses her extensive experience of teaching and helping students by giving a clear and confident presentation of the core mathematics needed by students starting science or engineering courses. The book contains almost 800 exercises, with detailed solutions given in the back to allow students who get stuck to see exactly where they have gone wrong. Topics covered include trigonometry and hyperbolic functions, sequences and series (with detailed coverage of binomial series), differentiation and integration, complex numbers, and vectors.
Leading activist and essayist Brynn Tannehill tells you everything you ever wanted to know about transgender issues but were afraid to ask. The book aims to break down deeply held misconceptions about trans people across all aspects of life, from politics, law and culture, through to science, religion and mental health, to provide readers with a deeper understanding of what it means to be trans. The book walks the reader through transgender issues, starting with "What does transgender mean?" before moving on to more complex topics including growing up trans, dating and sex, medical and mental health, and debates around gender and feminism. Brynn also challenges deliberately deceptive information about transgender people being put out into the public sphere. Transphobic myths are debunked and biased research, bad statistics and bad science are carefully and clearly refuted. This important and engaging book enables any reader to become informed the most critical public conversations around transgender people, and become a better ally as a result.
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.