How We Got From There to Here: A Story of Real Analysis PDF Download
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Author: Eugene Boman
Publisher: Lulu.com
ISBN: 1312348690
Category : Science
Languages : en
Pages : 222
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Book Description
This book is an introductory real analysis textbook, presented through the lens of history. That is, it proposes that an effective way to motivate the highly non-intuitve definitions and theorems encountered in an introductory, college level Real Analysis course is via one of the stories (there are many) of the historical development of the subject, from its intuitive beginnings to modern rigor. The definitions and techniques are motivated by the actual difficulties encountered by the intuitive approach and are presented in their historical context.
Author: Eugene Boman
Publisher: Lulu.com
ISBN: 1312348690
Category : Science
Languages : en
Pages : 222
Get Book Here
Book Description
This book is an introductory real analysis textbook, presented through the lens of history. That is, it proposes that an effective way to motivate the highly non-intuitve definitions and theorems encountered in an introductory, college level Real Analysis course is via one of the stories (there are many) of the historical development of the subject, from its intuitive beginnings to modern rigor. The definitions and techniques are motivated by the actual difficulties encountered by the intuitive approach and are presented in their historical context.
Author: Robert R. Rogers
Publisher:
ISBN: 9781312343863
Category : MATHEMATICS
Languages : en
Pages : 198
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Book Description
"This book covers the major topics typically addressed in an introductory undergraduate course in real analysis in their historical order. Written with the student in mind, the book provides guidance for transforming an intuitive understanding into rigorous mathematical arguments. For example, in addition to more traditional problems, major theorems are often stated and a proof is outlined. The student is then asked to fill in the missing details as a homework problem"--Provided by publisher.
Author: Robert Rogers
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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Book Description
Author: Robert Rogers
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages :
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Book Description
Author: Anthony W. Knapp
Publisher: Springer Science & Business Media
ISBN: 0817644415
Category : Mathematics
Languages : en
Pages : 671
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Book Description
Systematically develop the concepts and tools that are vital to every mathematician, whether pure or applied, aspiring or established A comprehensive treatment with a global view of the subject, emphasizing the connections between real analysis and other branches of mathematics Included throughout are many examples and hundreds of problems, and a separate 55-page section gives hints or complete solutions for most.
Author: Jordan Ellenberg
Publisher: Penguin
ISBN: 0143127535
Category : Mathematics
Languages : en
Pages : 482
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Book Description
“Witty, compelling, and just plain fun to read . . ." —Evelyn Lamb, Scientific American The Freakonomics of math—a math-world superstar unveils the hidden beauty and logic of the world and puts its power in our hands The math we learn in school can seem like a dull set of rules, laid down by the ancients and not to be questioned. In How Not to Be Wrong, Jordan Ellenberg shows us how terribly limiting this view is: Math isn’t confined to abstract incidents that never occur in real life, but rather touches everything we do—the whole world is shot through with it. Math allows us to see the hidden structures underneath the messy and chaotic surface of our world. It’s a science of not being wrong, hammered out by centuries of hard work and argument. Armed with the tools of mathematics, we can see through to the true meaning of information we take for granted: How early should you get to the airport? What does “public opinion” really represent? Why do tall parents have shorter children? Who really won Florida in 2000? And how likely are you, really, to develop cancer? How Not to Be Wrong presents the surprising revelations behind all of these questions and many more, using the mathematician’s method of analyzing life and exposing the hard-won insights of the academic community to the layman—minus the jargon. Ellenberg chases mathematical threads through a vast range of time and space, from the everyday to the cosmic, encountering, among other things, baseball, Reaganomics, daring lottery schemes, Voltaire, the replicability crisis in psychology, Italian Renaissance painting, artificial languages, the development of non-Euclidean geometry, the coming obesity apocalypse, Antonin Scalia’s views on crime and punishment, the psychology of slime molds, what Facebook can and can’t figure out about you, and the existence of God. Ellenberg pulls from history as well as from the latest theoretical developments to provide those not trained in math with the knowledge they need. Math, as Ellenberg says, is “an atomic-powered prosthesis that you attach to your common sense, vastly multiplying its reach and strength.” With the tools of mathematics in hand, you can understand the world in a deeper, more meaningful way. How Not to Be Wrong will show you how.
Author: Alice Feeney
Publisher: Flatiron Books
ISBN: 1250144833
Category : Fiction
Languages : en
Pages : 288
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Book Description
My name is Amber Reynolds. There are three things you should know about me: 1. I’m in a coma. 2. My husband doesn’t love me anymore. 3. Sometimes I lie. Amber wakes up in a hospital. She can’t move. She can’t speak. She can’t open her eyes. She can hear everyone around her, but they have no idea. Amber doesn’t remember what happened, but she has a suspicion her husband had something to do with it. Alternating between her paralyzed present, the week before her accident, and a series of childhood diaries from twenty years ago, this brilliant psychological thriller asks: Is something really a lie if you believe it's the truth?
Author: David Deutsch
Publisher: Penguin UK
ISBN: 0141969695
Category : Science
Languages : en
Pages : 571
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Book Description
'Science has never had an advocate quite like David Deutsch ... A computational physicist on a par with his touchstones Alan Turing and Richard Feynman, and a philosopher in the line of his greatest hero, Karl Popper. His arguments are so clear that to read him is to experience the thrill of the highest level of discourse available on this planet and to understand it' Peter Forbes, Independent In our search for truth, how far have we advanced? This uniquely human quest for good explanations has driven amazing improvements in everything from scientific understanding and technology to politics, moral values and human welfare. But will progress end, either in catastrophe or completion - or will it continue infinitely? In this profound and seminal book, David Deutsch explores the furthest reaches of our current understanding, taking in the Infinity Hotel, supernovae and the nature of optimism, to instill in all of us a wonder at what we have achieved - and the fact that this is only the beginning of humanity's infinite possibility. 'This is Deutsch at his most ambitious, seeking to understand the implications of our scientific explanations of the world ... I enthusiastically recommend this rich, wide-ranging and elegantly written exposition of the unique insights of one of our most original intellectuals' Michael Berry, Times Higher Education Supplement 'Bold ... profound ... provocative and persuasive' Economist 'David Deutsch may well go down in history as one of the great scientists of our age' Scotsman
Author: Jason Reynolds
Publisher: Simon and Schuster
ISBN: 1481438298
Category : Juvenile Fiction
Languages : en
Pages : 240
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Book Description
"A collection of ten short stories that all take place in the same day about kids walking home from school"--
Author: Colm Toibin
Publisher: Simon and Schuster
ISBN: 1439149852
Category : Fiction
Languages : en
Pages : 400
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Book Description
From one of contemporary literature’s bestselling, critically acclaimed, and beloved authors: a “luminous” novel (Jennifer Egan, The New York Times Book Review) about a fiercely compelling young widow navigating grief, fear, and longing, and finding her own voice—“heartrendingly transcendant” (The New York Times, Janet Maslin). Set in Wexford, Ireland, Colm Tóibín’s magnificent seventh novel introduces the formidable, memorable, and deeply moving Nora Webster. Widowed at forty, with four children and not enough money, Nora has lost the love of her life, Maurice, the man who rescued her from the stifling world to which she was born. And now she fears she may be sucked back into it. Wounded, selfish, strong-willed, clinging to secrecy in a tiny community where everyone knows your business, Nora is drowning in her own sorrow and blind to the suffering of her young sons, who have lost their father. Yet she has moments of stunning insight and empathy, and when she begins to sing again, after decades, she finds solace, engagement, a haven—herself. Nora Webster “may actually be a perfect work of fiction” (Los Angeles Times), by a “beautiful and daring” writer (The New York Times Book Review) at the zenith of his career, able to “sneak up on readers and capture their imaginations” (USA TODAY). “Miraculous...Tóibín portrays Nora with tremendous sympathy and understanding” (Ron Charles, The Washington Post).
