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Author: Jay Cummings
Publisher:
ISBN:
Category :
Languages : en
Pages : 511
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Book Description
This textbook is designed for students. Rather than the typical definition-theorem-proof-repeat style, this text includes much more commentary, motivation and explanation. The proofs are not terse, and aim for understanding over economy. Furthermore, dozens of proofs are preceded by "scratch work" or a proof sketch to give students a big-picture view and an explanation of how they would come up with it on their own.This book covers intuitive proofs, direct proofs, sets, induction, logic, the contrapositive, contradiction, functions and relations. The text aims to make the ideas visible, and contains over 200 illustrations. The writing is relaxed and conversational, and includes periodic attempts at humor.This text is also an introduction to higher mathematics. This is done in-part through the chosen examples and theorems. Furthermore, following every chapter is an introduction to an area of math. These include Ramsey theory, number theory, topology, sequences, real analysis, big data, game theory, cardinality and group theory.After every chapter are "pro-tips," which are short thoughts on things I wish I had known when I took my intro-to-proofs class. They include finer comments on the material, study tips, historical notes, comments on mathematical culture, and more. Also, after each chapter's exercises is an introduction to an unsolved problem in mathematics.In the first appendix we discuss some further proof methods, the second appendix is a collection of particularly beautiful proofs, and the third is some writing advice.
Author: Jay Cummings
Publisher:
ISBN:
Category :
Languages : en
Pages : 511
Get Book Here
Book Description
This textbook is designed for students. Rather than the typical definition-theorem-proof-repeat style, this text includes much more commentary, motivation and explanation. The proofs are not terse, and aim for understanding over economy. Furthermore, dozens of proofs are preceded by "scratch work" or a proof sketch to give students a big-picture view and an explanation of how they would come up with it on their own.This book covers intuitive proofs, direct proofs, sets, induction, logic, the contrapositive, contradiction, functions and relations. The text aims to make the ideas visible, and contains over 200 illustrations. The writing is relaxed and conversational, and includes periodic attempts at humor.This text is also an introduction to higher mathematics. This is done in-part through the chosen examples and theorems. Furthermore, following every chapter is an introduction to an area of math. These include Ramsey theory, number theory, topology, sequences, real analysis, big data, game theory, cardinality and group theory.After every chapter are "pro-tips," which are short thoughts on things I wish I had known when I took my intro-to-proofs class. They include finer comments on the material, study tips, historical notes, comments on mathematical culture, and more. Also, after each chapter's exercises is an introduction to an unsolved problem in mathematics.In the first appendix we discuss some further proof methods, the second appendix is a collection of particularly beautiful proofs, and the third is some writing advice.
Author: Jay Cummings
Publisher:
ISBN: 9781077254541
Category :
Languages : en
Pages : 446
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Book Description
This textbook is designed for students. Rather than the typical definition-theorem-proof-repeat style, this text includes much more commentary, motivation and explanation. The proofs are not terse, and aim for understanding over economy. Furthermore, dozens of proofs are preceded by "scratch work" or a proof sketch to give students a big-picture view and an explanation of how they would come up with it on their own. Examples often drive the narrative and challenge the intuition of the reader. The text also aims to make the ideas visible, and contains over 200 illustrations. The writing is relaxed and includes interesting historical notes, periodic attempts at humor, and occasional diversions into other interesting areas of mathematics. The text covers the real numbers, cardinality, sequences, series, the topology of the reals, continuity, differentiation, integration, and sequences and series of functions. Each chapter ends with exercises, and nearly all include some open questions. The first appendix contains a construction the reals, and the second is a collection of additional peculiar and pathological examples from analysis. The author believes most textbooks are extremely overpriced and endeavors to help change this.Hints and solutions to select exercises can be found at LongFormMath.com.
Author: Ben Hauck
Publisher: Skyhorse Publishing Inc.
ISBN: 1581159811
Category : Humor
Languages : en
Pages : 289
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Book Description
Long-Form Improv deftly teaches the wildly popular form of improvisation that is so foundational to the comedy stylings of many of today’s top actors and thriving comedians. Crammed with innovative ideas for conceptualizing improvised scenework and “finding the game of the scene,” this crisply written manual covers techniques for experienced improvisers, curious actors, and even non-actors. A complete long-form improv resource comprising topics like ideation and character creation, improvising scenes for extended periods of time and enhancing them—and even performing the most famous expression of long-form improv, the half-hour improvised form known as “The Harold”—this astute text is written in a friendly, supportive voice by an experienced improv teacher and professional actor whose own frustration in learning the craft drove an obsession to create a program free of confounding teachings and contradictory concepts. The book’s groundbreaking infusion with drama theory and game theory brings new life to the teachings of the craft, breaking down various aspects of long-form improv into short chapters for swift, step-by-step intake of its vital lessons. Students of acting and long-form improv alike should expect Long-Form Improv to bolster their education and fast-track their course to improv greatness.
Author: Gordon Muir
Publisher: Blue Snake Books
ISBN: 9781583942215
Category : Sports & Recreation
Languages : en
Pages : 260
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Book Description
Gordon Muir began his martial arts studies at the age of twelve, followed by years of serious study of a wide variety of disciplines including judo, kyokushinkai, karate, kempo, several kung fu styles, and kickboxing. Eventually he discovered the internal martial arts, which led to t’ai chi and Master T. T. Liang, renowned teacher of Yang style. The culmination of the author’s longtime study of this style is this enlightening look at the Yang style of t’ai chi. Focusing on the revered traditional form rather than the more recently created short form, the book describes in depth the type of movement t’ai chi strives for that distinguishes it from other martial arts. Clear and concise instructions help students understand how to move in order to create internal strength. Numerous photographs and detailed descriptions showcase and simplify the movements, which include the traditional Yang stances, hand and arm positions, and moving and powering. Written in a simple, engaging style, the book is designed to help new students get started in this rewarding tradition and more advanced practitioners deepen their knowledge of it.
Author: Lawrence Wright
Publisher: Vintage
ISBN: 0385350279
Category : Religion
Languages : en
Pages : 359
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Book Description
NATIONAL BESTSELLER • NATIONAL BOOK AWARD AND NATIONAL BOOK CRITICS CIRCLE AWARD FINALIST • From the Pulitzer Prize-winning author of The Looming Tower comes “an utterly necessary story” (The Wall Street Journal) that pulls back the curtain on the church of Scientology: one of the most secretive organizations at work today. • The Basis for the HBO Documentary. Scientology presents itself as a scientific approach to spiritual enlightenment, but its practices have long been shrouded in mystery. Now Lawrence Wright—armed with his investigative talents, years of archival research, and more than two hundred personal interviews with current and former Scientologists—uncovers the inner workings of the church. We meet founder L. Ron Hubbard, the highly imaginative but mentally troubled science-fiction writer, and his tough, driven successor, David Miscavige. We go inside their specialized cosmology and language. We learn about the church’s legal attacks on the IRS, its vindictive treatment of critics, and its phenomenal wealth. We see the church court celebrities such as Tom Cruise while consigning its clergy to hard labor under billion-year contracts. Through it all, Wright asks what fundamentally comprises a religion, and if Scientology in fact merits this Constitutionally-protected label.
Author: Jenny Diski
Publisher: Bloomsbury Publishing
ISBN: 1526621924
Category : Literary Collections
Languages : en
Pages : 442
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Book Description
Finalist for the NBCC Award for Criticism 'Nothing about Jenny Diski is conventional. Diski does not do linear, or normal, or boring ... highly intelligent, furiously funny' Sunday Times 'Funny, heartbreaking, insightful and wise' Emilia Clarke 'She expanded notions about what nonfiction, as an art form, could do and could be' New Yorker Jenny Diski was a fearless writer, for whom no subject was too difficult, even her own cancer diagnosis. Her columns in the London Review of Books – selected here by her editor and friend Mary-Kay Wilmers, on subjects as various as death, motherhood, sexual politics and the joys of solitude – have been described as 'virtuoso performances', and 'small masterpieces'. From Highgate Cemetery to the interior of a psychiatric hospital, from Tottenham Court Road to the icebergs of Antarctica, Why Didn't You Just Do What You Were Told? is a collective interrogation of the universal experience from a very particular psyche: original, opinionated – and mordantly funny.
Author: Lawrence Wright
Publisher: Vintage
ISBN: 0307266087
Category : Political Science
Languages : en
Pages : 498
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Book Description
NATIONAL BESTSELLER • PULITZER PRIZE WINNER • A “heart-stopping account of the events leading up to 9/11” (The New York Times Book Review), this definitive history explains in gripping detail the growth of Islamic fundamentalism, the rise of al-Qaeda, and the intelligence failures that culminated in the attacks on the World Trade Center. In gripping narrative that spans five decades, Lawrence Wright re-creates firsthand the transformation of Osama bin Laden and Ayman al-Zawahiri from incompetent and idealistic soldiers in Afghanistan to leaders of the most successful terrorist group in history. He follows FBI counterterrorism chief John O’Neill as he uncovers the emerging danger from al-Qaeda in the 1990s and struggles to track this new threat. Packed with new information and a deep historical perspective, The Looming Tower is a sweeping, unprecedented history of the long road to September 11.
Author: Peter Hitchcock
Publisher: Stanford University Press
ISBN: 0804773408
Category : Literary Criticism
Languages : en
Pages : 318
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Book Description
The resurgence of "world literature" as a category of study seems to coincide with what we understand as globalization, but how does postcolonial writing fit into this picture? Beyond the content of this novel or that, what elements of postcolonial fiction might challenge the assumption that its main aim is to circulate native information globally? The Long Space provides a fresh look at the importance of postcolonial writing by examining how it articulates history and place both in content and form. Not only does it offer a new theoretical model for understanding decolonization's impact on duration in writing, but through a series of case studies of Guyanese, Somali, Indonesian, and Algerian writers, it urges a more protracted engagement with time and space in postcolonial narrative. Although each writer—Wilson Harris, Nuruddin Farah, Pramoedya Ananta Toer, and Assia Djebar—explores a unique understanding of postcoloniality, each also makes a more general assertion about the difference of time and space in decolonization. Taken together, they herald a transnationalism beyond the contaminated coordinates of globalization as currently construed.
Author: M. Fotis
Publisher: Springer
ISBN: 1137376589
Category : Performing Arts
Languages : en
Pages : 224
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Book Description
Long form scenic improv began with the Harold. The comic philosophy of this form started an era of comedy marked by support, trust, and collaboration. This book tells of the Harold, beginning with the development of improv theatre, through the tensions and evolutions that led to its creation at iO, and to its use in contemporary filmmaking.
Author: David Dowling
Publisher: Routledge
ISBN: 0429948468
Category : Language Arts & Disciplines
Languages : en
Pages : 310
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Book Description
A deep dive into the world of online and multimedia longform storytelling, this book charts the renaissance in deep reading, viewing and listening associated with the literary mind, and the resulting implications of its rise in popularity. David O. Dowling argues that although developments in media technology have enabled the ascendance of nonfictional storytelling to new heights through new forms, it has done so at the peril of these intensely persuasive designs becoming deployed for commercial and political purposes. He shows how traditional boundaries separating genres and dividing editorial from advertising content have fallen with the rise of media hybridity, drawing attention to how the principle of an independent press can be reformulated for the digital ecosystem. Immersive Longform Storytelling is a compelling examination of storytelling, covering multimedia features, on-demand documentary television, branded digital documentaries, interactive online documentaries, and podcasting. This book’s focus on both form and effect makes it a fascinating read for scholars and academics interested in storytelling and the rise of new media.
