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Nonlinear Systems Analysis by Mathukumalli Vidyasagar
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30-Second Physics: The 50 Most Fundamental Concepts In Physics, Each Explained In Half A Minute
Brian Clegg - 2016
Each title selects a popular topic and dissects it into the 50 most significant ideas at its heart. 30-Second Physics tackles the big ideas behind life as we know it, from electromagnetic waves that enable us to connect in an instant from opposite ends of the earth to the gravity that keeps our feet firmly on the ground. In a world where physics is an everyday essential and new quantum developments make headline news, you need to know your atoms from your anti-matter and learn just enough to speak with fluidity about Fluid Dynamics and be certain about the Uncertainty Principle. Here is the fastest way to get up to speed with rocket science and the rest.
Love and Math: The Heart of Hidden Reality
Edward Frenkel - 2013
In this heartfelt and passionate book, Frenkel shows that mathematics, far from occupying a specialist niche, goes to the heart of all matter, uniting us across cultures, time, and space.Love and Math tells two intertwined stories: of the wonders of mathematics and of one young man’s journey learning and living it. Having braved a discriminatory educational system to become one of the twenty-first century’s leading mathematicians, Frenkel now works on one of the biggest ideas to come out of math in the last 50 years: the Langlands Program. Considered by many to be a Grand Unified Theory of mathematics, the Langlands Program enables researchers to translate findings from one field to another so that they can solve problems, such as Fermat’s last theorem, that had seemed intractable before.At its core, Love and Math is a story about accessing a new way of thinking, which can enrich our lives and empower us to better understand the world and our place in it. It is an invitation to discover the magic hidden universe of mathematics.
Journey through Genius: The Great Theorems of Mathematics
William Dunham - 1990
Now William Dunham gives them the attention they deserve.Dunham places each theorem within its historical context and explores the very human and often turbulent life of the creator — from Archimedes, the absentminded theoretician whose absorption in his work often precluded eating or bathing, to Gerolamo Cardano, the sixteenth-century mathematician whose accomplishments flourished despite a bizarre array of misadventures, to the paranoid genius of modern times, Georg Cantor. He also provides step-by-step proofs for the theorems, each easily accessible to readers with no more than a knowledge of high school mathematics.A rare combination of the historical, biographical, and mathematical, Journey Through Genius is a fascinating introduction to a neglected field of human creativity.
How Not to Be Wrong: The Power of Mathematical Thinking
Jordan Ellenberg - 2014
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.
I'm Not Holding Your Coat: My Bruises-and-All Memoir of Punk Rock Rebellion
Nancy Barile - 2021
She made her place behind the boards and right in the front row as insurgents such as SSD, Minor Threat, Bad Brains, Dead Kennedys and Black Flag wrote new rules and made history. She survived punk riots and urban decay, ran the streets with outcasts, and ultimately found true love as she fought for fairness and found her purpose.
Letters to a Young Scientist
Edward O. Wilson - 2013
Wilson has distilled sixty years of teaching into a book for students, young and old. Reflecting on his coming-of-age in the South as a Boy Scout and a lover of ants and butterflies, Wilson threads these twenty-one letters, each richly illustrated, with autobiographical anecdotes that illuminate his career--both his successes and his failures--and his motivations for becoming a biologist. At a time in human history when our survival is more than ever linked to our understanding of science, Wilson insists that success in the sciences does not depend on mathematical skill, but rather a passion for finding a problem and solving it. From the collapse of stars to the exploration of rain forests and the oceans' depths, Wilson instills a love of the innate creativity of science and a respect for the human being's modest place in the planet's ecosystem in his readers.
How to Think Clearly: A Guide to Critical Thinking
Doug Erlandson - 2012
Dr. Doug Erlandson draws on concrete examples of good and bad reasoning from the political and social realm and everyday life to make his points in a sometimes lighthearted but always meaningful way. Here's a Preview of What's in the Book
Identifying the differences between good and bad arguments
Avoiding fallacies
Creating good explanations
Assessing probabilities
Recognizing that statistics and numbers can lie
˃˃˃ Here's How You Benefit How to Think Clearly gives you the tools you need to critically assess the claims and counterclaims with which you are bombarded by politicians, pundits, commentators and editors, as well as coworkers, friends and family, and will aid you in developing skills to present your view in ways that are clear, coherent, sensible and persuasive. ˃˃˃ Suitable as a classroom text and for independent study How to Think Clearly is easy to understand and suitable for independent study. At the same time it offers the content and intellectual rigor that you would expect in a text for an introductory college-level course in critical thinking. ˃˃˃ What Others Are Saying About How to Think Clearly: A Guide to Critical Thinking Dr. Erlandson has given a wonderful introduction to good critical thinking: how to recognize good and bad arguments, helpful and non-helpful explanations, the ways that numbers can be manipulated. You can tell that he must be a good teacher. (G. Feltner)The author offers a refuge of reason within our culture of disregard for open-mindedness and rational discourse where the popular debate of serious issues or ideas is often a shouting match from the margins. (Cubs Fan)A great read for anyone who is new to logic and critical thinking, or someone who just wants to review and refresh their knowledge. (Paul D.)
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Mind Over Mother: Every mum's guide to worry and anxiety in the first years
Anna Mathur
She offers little nuggets of gold while reminding us to point some of our kindness and love inwards.' Giovanna Fletcher, bestselling author of Happy Mum, Happy Baby 'Anna is breath of fresh air - relatable, funny and wise' Sarah Turner, bestselling author of The Unmumsy MumBaby-proof the house; panic-proof the mum.Do you overthink what you said to the mum in the supermarket queue? Is your internal dialogue more critical than kind? Perhaps you wake to check your baby is breathing, or the sight of a rash sends you down an internet search rabbit hole. Whatever your level of anxiety, however much it impacts your life, this book is for you.Anxiety is making motherhood a less pleasant, more fraught and pressured experience, and we do not have to accept joy-sapping worry and energy-draining overthinking as part of the motherhood job description. In Mind Over Mother, Anna Mathur, psychotherapist and mum of three, explains how to:* Understand anxiety, why it affects you and what to do about it* Make your mind a kinder, calmer, happier place to be* Transform your motherhood experience by addressing your thinkingThe most powerful tool Anna has to communicate this isn't the letters after her name, it is the fact that she is open about her own experience of maternal anxiety. By sharing her journey, she gives you the confidence to reframe yours.Mind Over Mother is full of light bulb moments of realisation. It will have you learning, laughing and loving yourself through the journey of motherhood. You will learn to address the most important conversation you'll ever have - the one inside your head, because investing in your mental health is the best gift you can offer yourself and your child.
A Beautiful Question: Finding Nature's Deep Design
Frank Wilczek - 2015
Wilczek’s groundbreaking work in quantum physics was inspired by his intuition to look for a deeper order of beauty in nature. In fact, every major advance in his career came from this intuition: to assume that the universe embodies beautiful forms, forms whose hallmarks are symmetry—harmony, balance, proportion—and economy. There are other meanings of “beauty,” but this is the deep logic of the universe—and it is no accident that it is also at the heart of what we find aesthetically pleasing and inspiring.Wilczek is hardly alone among great scientists in charting his course using beauty as his compass. As he reveals in A Beautiful Question, this has been the heart of scientific pursuit from Pythagoras, the ancient Greek who was the first to argue that “all things are number,” to Galileo, Newton, Maxwell, Einstein, and into the deep waters of twentiethcentury physics. Though the ancients weren’t right about everything, their ardent belief in the music of the spheres has proved true down to the quantum level. Indeed, Wilczek explores just how intertwined our ideas about beauty and art are with our scientific understanding of the cosmos.Wilczek brings us right to the edge of knowledge today, where the core insights of even the craziest quantum ideas apply principles we all understand. The equations for atoms and light are almost literally the same equations that govern musical instruments and sound; the subatomic particles that are responsible for most of our mass are determined by simple geometric symmetries. The universe itself, suggests Wilczek, seems to want to embody beautiful and elegant forms. Perhaps this force is the pure elegance of numbers, perhaps the work of a higher being, or somewhere between. Either way, we don’t depart from the infinite and infinitesimal after all; we’re profoundly connected to them, and we connect them. When we find that our sense of beauty is realized in the physical world, we are discovering something about the world, but also something about ourselves.Gorgeously illustrated, A Beautiful Question is a mind-shifting book that braids the age-old quest for beauty and the age-old quest for truth into a thrilling synthesis. It is a dazzling and important work from one of our best thinkers, whose humor and infectious sense of wonder animate every page. Yes: The world is a work of art, and its deepest truths are ones we already feel, as if they were somehow written in our souls.
Everyday Calculus: Discovering the Hidden Math All Around Us
Oscar E. Fernandez - 2014
For some of us, the word conjures up memories of ten-pound textbooks and visions of tedious abstract equations. And yet, in reality, calculus is fun, accessible, and surrounds us everywhere we go. In Everyday Calculus, Oscar Fernandez shows us how to see the math in our coffee, on the highway, and even in the night sky.Fernandez uses our everyday experiences to skillfully reveal the hidden calculus behind a typical day's events. He guides us through how math naturally emerges from simple observations-how hot coffee cools down, for example-and in discussions of over fifty familiar events and activities. Fernandez demonstrates that calculus can be used to explore practically any aspect of our lives, including the most effective number of hours to sleep and the fastest route to get to work. He also shows that calculus can be both useful-determining which seat at the theater leads to the best viewing experience, for instance-and fascinating-exploring topics such as time travel and the age of the universe. Throughout, Fernandez presents straightforward concepts, and no prior mathematical knowledge is required. For advanced math fans, the mathematical derivations are included in the appendixes.Whether you're new to mathematics or already a curious math enthusiast, Everyday Calculus invites you to spend a day discovering the calculus all around you. The book will convince even die-hard skeptics to view this area of math in a whole new way.
The Science of Interstellar
Kip S. Thorne - 2014
Yet in The Science of Interstellar, Kip Thorne, the physicist who assisted Nolan on the scientific aspects of Interstellar, shows us that the movie’s jaw-dropping events and stunning, never-before-attempted visuals are grounded in real science. Thorne shares his experiences working as the science adviser on the film and then moves on to the science itself. In chapters on wormholes, black holes, interstellar travel, and much more, Thorne’s scientific insights—many of them triggered during the actual scripting and shooting of Interstellar—describe the physical laws that govern our universe and the truly astounding phenomena that those laws make possible.Interstellar and all related characters and elements are trademarks of and © Warner Bros. Entertainment Inc. (s14).
The Signal and the Noise: Why So Many Predictions Fail—But Some Don't
Nate Silver - 2012
He solidified his standing as the nation's foremost political forecaster with his near perfect prediction of the 2012 election. Silver is the founder and editor in chief of FiveThirtyEight.com. Drawing on his own groundbreaking work, Silver examines the world of prediction, investigating how we can distinguish a true signal from a universe of noisy data. Most predictions fail, often at great cost to society, because most of us have a poor understanding of probability and uncertainty. Both experts and laypeople mistake more confident predictions for more accurate ones. But overconfidence is often the reason for failure. If our appreciation of uncertainty improves, our predictions can get better too. This is the "prediction paradox": The more humility we have about our ability to make predictions, the more successful we can be in planning for the future.In keeping with his own aim to seek truth from data, Silver visits the most successful forecasters in a range of areas, from hurricanes to baseball, from the poker table to the stock market, from Capitol Hill to the NBA. He explains and evaluates how these forecasters think and what bonds they share. What lies behind their success? Are they good-or just lucky? What patterns have they unraveled? And are their forecasts really right? He explores unanticipated commonalities and exposes unexpected juxtapositions. And sometimes, it is not so much how good a prediction is in an absolute sense that matters but how good it is relative to the competition. In other cases, prediction is still a very rudimentary-and dangerous-science.Silver observes that the most accurate forecasters tend to have a superior command of probability, and they tend to be both humble and hardworking. They distinguish the predictable from the unpredictable, and they notice a thousand little details that lead them closer to the truth. Because of their appreciation of probability, they can distinguish the signal from the noise.
Math with Bad Drawings
Ben Orlin - 2018
In MATH WITH BAD DRAWINGS, Ben Orlin answers math's three big questions: Why do I need to learn this? When am I ever going to use it? Why is it so hard? The answers come in various forms-cartoons, drawings, jokes, and the stories and insights of an empathetic teacher who believes that math should belong to everyone.Eschewing the tired old curriculum that begins in the wading pool of addition and subtraction and progresses to the shark infested waters of calculus (AKA the Great Weed Out Course), Orlin instead shows us how to think like a mathematician by teaching us a new game of Tic-Tac-Toe, how to understand an economic crisis by rolling a pair of dice, and the mathematical reason why you should never buy a second lottery ticket. Every example in the book is illustrated with his trademark "bad drawings," which convey both his humor and his message with perfect pitch and clarity. Organized by unconventional but compelling topics such as "Statistics: The Fine Art of Honest Lying," "Design: The Geometry of Stuff That Works," and "Probability: The Mathematics of Maybe," MATH WITH BAD DRAWINGS is a perfect read for fans of illustrated popular science.
Why Are All the Good Teachers Crazy?
Frank Stepnowski - 2009
With equal parts humanity, insanity, and profanity, Frank Stepnowski, a twenty year veteran of the academic wars, offers unique insight into a world everybody knows about but very few understand. "Step" as he was re-christened by his students, pulls no punches in the classroom, and takes no prisoners in his writing debut. The title, which comes from a line that the author heard many times throughout his career, is both a confession and a confirmation. "I wanted a book," he explains, "that would make people laugh out loud but also open their eyes to just how insane the teaching profession can get. With that in mind, the book is a riotous success, providing searing insight into the classroom and giving an iconoclastic voice to a profession that often goes unheard. Why Are All the Good teachers Crazy? is a wake up call for some, a rallying cry for others, and an invitation to laugh and learn for everyone.Based on actual events, the vivid imagery, colorful characters, and incendiary dialogue of this nuclear powered novel will take readers on a roller coaster ride that they will be talking about long after the ride is over.