Algebra I for Dummies


Mary Jane Sterling - 2001
    The real response to the question should be, "Yes, you will, because algebra gives you power" - the power to help your children with their math homework, the power to manage your finances, the power to be successful in your career (especially if you have to manage the company budget). The list goes on. Algebra is a system of mathematical symbols and rules that are universally understood, no matter what the spoken language. Algebra provides a clear, methodical process that can be followed from beginning to end to solve complex problems. There's no doubt that algebra can be easy to some while extremely challenging to others. For those of you who are challenged by working with numbers, Algebra I For Dummies can provide the help you need.This easy-to-understand reference not only explains algebra in terms you can understand, but it also gives you the necessary tools to solve complex problems. But rest assured, this book is not about memorizing a bunch of meaningless steps; you find out the whys behind algebra to increase your understanding of how algebra works.In Algebra I For Dummies, you'll discover the following topics and more:All about numbers - rational and irrational, variables, and positive and negative Figuring out fractions and decimals Explaining exponents and radicals Solving linear and quadratic equations Understanding formulas and solving story problems Having fun with graphs Top Ten lists on common algebraic errors, factoring tips, and divisibility rules. No matter if you're 16 years old or 60 years old; no matter if you're learning algebra for the first time or need a quick refresher course; no matter if you're cramming for an algebra test, helping your kid with his or her homework, or coming up with next year's company budget, Algebra I For Dummies can give you the tools you need to succeed.

The 125 Best Brain Teasers of All Time: A Mind-Blowing Challenge of Math, Logic, and Wordplay


Marcel Danesi - 2018
    Collected here to keep your wits sharp, The Best Brain Teasers of All Time features the cleverest brain teasers from around the world and throughout history.The Best Brain Teasers of All Time gives you hours of fun-filled entertainment with brain teasers that develop your problem-solving skills in math, logic, and wordplay. Organized as an integrated challenge, these brain teasers build in momentum as they increase in difficulty from classic nursery rhymes to the riddle of the sphinx.The Best Brain Teasers of All Time puts your mind to the test with: 125 Brain Teasers that require no special skills to solve. Plus, each question comes with an optional clue in case you get stumped and a handy answer key in the back to test yourself or play with friends Brain Teasers for Every Level that cater to beginners and advanced masterminds alike, with brain teasers organized by level of difficulty to improve your skills as you move forward Hints of History that provide fun facts and background information for every brain teaser Get ready to sharpen your wit with every “aha” moment. The Best Brain Teasers of All Time is a go-to source for timeless fun and mind-blowing challenges.

The Book of Nothing: Vacuums, Voids, and the Latest Ideas about the Origins of the Universe


John D. Barrow - 2000
    Augustine equate nothingness with the Devil? What tortuous means did 17th-century scientists employ in their attempts to create a vacuum? And why do contemporary quantum physicists believe that the void is actually seething with subatomic activity? You’ll find the answers in this dizzyingly erudite and elegantly explained book by the English cosmologist John D. Barrow.Ranging through mathematics, theology, philosophy, literature, particle physics, and cosmology, The Book of Nothing explores the enduring hold that vacuity has exercised on the human imagination. Combining high-wire speculation with a wealth of reference that takes in Freddy Mercury and Shakespeare alongside Isaac Newton, Albert Einstein, and Stephen Hawking, the result is a fascinating excursion to the vanishing point of our knowledge.

How to Build a Brain and 34 Other Really Interesting Uses of Maths


Richard Elwes - 2010
    You'll find out how to unknot your DNA, how to count like a supercomputer and how to become famous for solving mathematics' most challenging problem.

A Short History of the World


H.G. Wells - 1922
    Along the way, Wells considers such diverse subjects as the Neolithic era, the rise of Judaism, the Golden Age of Athens, the life of Christ, the rise of Islam, the discovery of America and the Industrial Revolution. Breathtaking in its scope and passionate in its intensity, this history remains one of the most readable of its kind.

Calculus Made Easy


Silvanus Phillips Thompson - 1910
    With a new introduction, three new chapters, modernized language and methods throughout, and an appendix of challenging and enjoyable practice problems, Calculus Made Easy has been thoroughly updated for the modern reader.

A Mind for Numbers: How to Excel at Math and Science (Even If You Flunked Algebra)


Barbara Oakley - 2014
    Engineering professor Barbara Oakley knows firsthand how it feels to struggle with math. She flunked her way through high school math and science courses, before enlisting in the army immediately after graduation. When she saw how her lack of mathematical and technical savvy severely limited her options—both to rise in the military and to explore other careers—she returned to school with a newfound determination to re-tool her brain to master the very subjects that had given her so much trouble throughout her entire life. In A Mind for Numbers, Dr. Oakley lets us in on the secrets to effectively learning math and science—secrets that even dedicated and successful students wish they’d known earlier. Contrary to popular belief, math requires creative, as well as analytical, thinking. Most people think that there’s only one way to do a problem, when in actuality, there are often a number of different solutions—you just need the creativity to see them. For example, there are more than three hundred different known proofs of the Pythagorean Theorem. In short, studying a problem in a laser-focused way until you reach a solution is not an effective way to learn math. Rather, it involves taking the time to step away from a problem and allow the more relaxed and creative part of the brain to take over. A Mind for Numbers shows us that we all have what it takes to excel in math, and learning it is not as painful as some might think!

50 Mathematical Ideas You Really Need to Know


Tony Crilly - 2007
    Who invented zero? Why are there 60 seconds in a minute? Can a butterfly's wings really cause a storm on the far side of the world? In 50 concise essays, Professor Tony Crilly explains the mathematical concepts that allow use to understand and shape the world around us.

Reader, Come Home: The Reading Brain in a Digital World


Maryanne Wolf - 2018
    Since then, the ways we process written language have changed dramatically with many concerned about both their own changes and that of children. New research on the reading brain chronicles these changes in the brains of children and adults as they learn to read while immersed in a digitally dominated medium.Drawing deeply on this research, this book comprises a series of letters Wolf writes to us—her beloved readers—to describe her concerns and her hopes about what is happening to the reading brain as it unavoidably changes to adapt to digital mediums. Wolf raises difficult questions, including:Will children learn to incorporate the full range of "deep reading" processes that are at the core of the expert reading brain?Will the mix of a seemingly infinite set of distractions for children’s attention and their quick access to immediate, voluminous information alter their ability to think for themselves?With information at their fingertips, will the next generation learn to build their own storehouse of knowledge, which could impede the ability to make analogies and draw inferences from what they know?Will all these influences, in turn, change the formation in children and the use in adults of "slower" cognitive processes like critical thinking, personal reflection, imagination, and empathy that comprise deep reading and that influence both how we think and how we live our lives?Will the chain of digital influences ultimately influence the use of the critical analytical and empathic capacities necessary for a democratic society?How can we preserve deep reading processes in future iterations of the reading brain?Who are the "good readers" of every epoch?Concerns about attention span, critical reasoning, and over-reliance on technology are never just about children—Wolf herself has found that, though she is a reading expert, her ability to read deeply has been impacted as she has become, inevitably, increasingly dependent on screens.Wolf draws on neuroscience, literature, education, technology, and philosophy and blends historical, literary, and scientific facts with down-to-earth examples and warm anecdotes to illuminate complex ideas that culminate in a proposal for a biliterate reading brain. Provocative and intriguing, Reader, Come Home is a roadmap that provides a cautionary but hopeful perspective on the impact of technology on our brains and our most essential intellectual capacities—and what this could mean for our future.

Longitude: The True Story of a Lone Genius Who Solved the Greatest Scientific Problem of His Time


Dava Sobel - 1995
    Lacking the ability to measure their longitude, sailors throughout the great ages of exploration had been literally lost at sea as soon as they lost sight of land. Thousands of lives, and the increasing fortunes of nations, hung on a resolution.The scientific establishment of Europe—from Galileo to Sir Issac Newton—had mapped the heavens in both hemispheres in its certain pursuit of a celestial answer. In stark contrast, one man, John Harrison, dared to imagine a mechanical solution—a clock that would keep precise time at sea, something no clock had ever been able to do on land. Longitude is a dramatic human story of an epic scientific quest and Harrison's forty-year obsession with building his perfect timekeeper, known today as the chronometer. Full of heroism and chicanery, it is also a fascinating brief history of astronomy, navigation, and clock-making, and opens a new window on our world.On its 10th anniversary, a gift edition of this classic book, with a forward by one of history's greatest explorers, and eight pages of color illustrations.

Math on Trial: How Numbers Get Used and Abused in the Courtroom


Leila Schneps - 2013
    Even the simplest numbers can become powerful forces when manipulated by politicians or the media, but in the case of the law, your liberty -- and your life -- can depend on the right calculation. In Math on Trial, mathematicians Leila Schneps and Coralie Colmez describe ten trials spanning from the nineteenth century to today, in which mathematical arguments were used -- and disastrously misused -- as evidence. They tell the stories of Sally Clark, who was accused of murdering her children by a doctor with a faulty sense of calculation; of nineteenth-century tycoon Hetty Green, whose dispute over her aunt's will became a signal case in the forensic use of mathematics; and of the case of Amanda Knox, in which a judge's misunderstanding of probability led him to discount critical evidence -- which might have kept her in jail. Offering a fresh angle on cases from the nineteenth-century Dreyfus affair to the murder trial of Dutch nurse Lucia de Berk, Schneps and Colmez show how the improper application of mathematical concepts can mean the difference between walking free and life in prison. A colorful narrative of mathematical abuse, Math on Trial blends courtroom drama, history, and math to show that legal expertise isn't't always enough to prove a person innocent.

Algebra - The Very Basics


Metin Bektas - 2014
    This book picks you up at the very beginning and guides you through the foundations of algebra using lots of examples and no-nonsense explanations. Each chapter contains well-chosen exercises as well as all the solutions. No prior knowledge is required. Topics include: Exponents, Brackets, Linear Equations and Quadratic Equations. For a more detailed table of contents, use the "Look Inside" feature. From the author of "Great Formulas Explained" and "Physics! In Quantities and Examples".

Abstract Algebra


I.N. Herstein - 1986
    Providing a concise introduction to abstract algebra, this work unfolds some of the fundamental systems with the aim of reaching applicable, significant results.

The Man Who Loved Only Numbers: The Story of Paul Erdős and the Search for Mathematical Truth


Paul Hoffman - 1998
    Based on a National Magazine Award-winning article, this masterful biography of Hungarian-born Paul Erdos is both a vivid portrait of an eccentric genius and a layman's guide to some of this century's most startling mathematical discoveries.

Birth of a Theorem: A Mathematical Adventure


Cédric Villani - 2012
    Birth of a Theorem is Villani’s own account of the years leading up to the award. It invites readers inside the mind of a great mathematician as he wrestles with the most important work of his career.But you don’t have to understand nonlinear Landau damping to love Birth of a Theorem. It doesn’t simplify or overexplain; rather, it invites readers into collaboration. Villani’s diaries, emails, and musings enmesh you in the process of discovery. You join him in unproductive lulls and late-night breakthroughs. You’re privy to the dining-hall conversations at the world’s greatest research institutions. Villani shares his favorite songs, his love of manga, and the imaginative stories he tells his children. In mathematics, as in any creative work, it is the thinker’s whole life that propels discovery—and with Birth of a Theorem, Cédric Villani welcomes you into his.