“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.

"Math Like You've Never Seen Before: Discovering Interesting Facts, Games, and Stories Behind the Science of Numbers" is an immersive journey into the captivating world of mathematics. This book aims to revolutionize your perspective on math by unraveling its hidden wonders and debunking misconceptions. From the artistry of arithmetic to the role of math in everyday life, from the drama of mathematical discovery to the accessibility and inclusivity of learning, this book covers a diverse range of topics. Dive into the joy of mathematical exploration, challenge your fears, and embrace a new perspective on mathematics that will enrich your life and empower you to inspire future mathematicians.

News about this title: — Author Marty Weissman has been awarded a Guggenheim Fellowship for 2020. (Learn more here.) — Selected as a 2018 CHOICE Outstanding Academic Title — 2018 PROSE Awards Honorable Mention An Illustrated Theory of Numbers gives a comprehensive introduction to number theory, with complete proofs, worked examples, and exercises. Its exposition reflects the most recent scholarship in mathematics and its history. Almost 500 sharp illustrations accompany elegant proofs, from prime decomposition through quadratic reciprocity. Geometric and dynamical arguments provide new insights, and allow for a rigorous approach with less algebraic manipulation. The final chapters contain an extended treatment of binary quadratic forms, using Conway's topograph to solve quadratic Diophantine equations (e.g., Pell's equation) and to study reduction and the finiteness of class numbers. Data visualizations introduce the reader to open questions and cutting-edge results in analytic number theory such as the Riemann hypothesis, boundedness of prime gaps, and the class number 1 problem. Accompanying each chapter, historical notes curate primary sources and secondary scholarship to trace the development of number theory within and outside the Western tradition. Requiring only high school algebra and geometry, this text is recommended for a first course in elementary number theory. It is also suitable for mathematicians seeking a fresh perspective on an ancient subject.

Mathematics is often thought of as the coldest expression of pure reason. But few subjects provoke hotter emotions--and inspire more love and hatred--than mathematics. And although math is frequently idealized as floating above the messiness of human life, its story is nothing if not human; often, it is all too human. Loving and Hating Mathematics is about the hidden human, emotional, and social forces that shape mathematics and affect the experiences of students and mathematicians. Written in a lively, accessible style, and filled with gripping stories and anecdotes, Loving and Hating Mathematics brings home the intense pleasures and pains of mathematical life. These stories challenge many myths, including the notions that mathematics is a solitary pursuit and a "young man's game," the belief that mathematicians are emotionally different from other people, and even the idea that to be a great mathematician it helps to be a little bit crazy. Reuben Hersh and Vera John-Steiner tell stories of lives in math from their very beginnings through old age, including accounts of teaching and mentoring, friendships and rivalries, love affairs and marriages, and the experiences of women and minorities in a field that has traditionally been unfriendly to both. Included here are also stories of people for whom mathematics has been an immense solace during times of crisis, war, and even imprisonment--as well as of those rare individuals driven to insanity and even murder by an obsession with math. This is a book for anyone who wants to understand why the most rational of human endeavors is at the same time one of the most emotional.

An illustrated tour of the structures and patterns we call "math" The only numbers in this book are the page numbers. Math Without Numbers is a vivid, conversational, and wholly original guide to the three main branches of abstract math—topology, analysis, and algebra—which turn out to be surprisingly easy to grasp. This book upends the conventional approach to math, inviting you to think creatively about shape and dimension, the infinite and infinitesimal, symmetries, proofs, and how these concepts all fit together. What awaits readers is a freewheeling tour of the inimitable joys and unsolved mysteries of this curiously powerful subject. Like the classic math allegory Flatland, first published over a century ago, or Douglas Hofstadter's Godel, Escher, Bach forty years ago, there has never been a math book quite like Math Without Numbers. So many popularizations of math have dwelt on numbers like pi or zero or infinity. This book goes well beyond to questions such as: How many shapes are there? Is anything bigger than infinity? And is math even true? Milo Beckman shows why math is mostly just pattern recognition and how it keeps on surprising us with unexpected, useful connections to the real world. The ambitions of this book take a special kind of author. An inventive, original thinker pursuing his calling with jubilant passion. A prodigy. Milo Beckman completed the graduate-level course sequence in mathematics at age sixteen, when he was a sophomore at Harvard; while writing this book, he was studying the philosophical foundations of physics at Columbia under Brian Greene, among others.

Journey back in time and marvel at the history of our world like never before with this children's encyclopedia perfect for curious kids. Forming part of a fantastic series of kid's educational books, this bold and brilliant kid's encyclopedia uses ground-breaking CGI imagery to reveal the world as you've never seen it before. Informative, diverse in subject matter, easy-to-read and brimming with beautiful graphics, young learners can explore the incredibly detailed cross-sections and cutaways that reveal the inner workings of just about everything! This charming children’s encyclopedia opens the world in new ways, with: - Packed with facts, charts, timelines, and infographics that cover a vast range of topics. - Encompassing a visual approach with illustrations, photographs and extremely detailed 3D CGI images. - Crystal clear text distills the key information. - DK's encyclopedias are fact-checked by subject experts to offer accuracy beyond online sources of information. This fully-updated edition of Knowledge Encyclopedia History! is the perfect encyclopedia for children aged 9-12, ideal for inquisitive minds, bringing key moments in history to life, from exploring the lives of early humans to visiting the Vikings, learning about The Industrial Revolution, and looking towards a greener future! Jam-packed with fun facts about the world, including fascinating statistics, maps, timelines, graphics, and superb photorealistic cross-sections, young history lovers can peer inside ancient buildings, marvel at elaborate outfits, and get close to the battles of history! Explore, Discover And Learn! DK's Knowledge Encyclopedia History! uncovers the marvels of our world in unprecedented detail and with stunning realism. Encompassing engaging historical facts about our world, you can spend quality time diving into the past with your children, accompanied by impressive visuals to engage their senses. A must-have volume for curious kids with a thirst for knowledge, this enthralling children’s encyclopedia is structured in such a way that your child can read a bit at a time, and feel comfortable to pause and ask questions. Doubling up as the perfect gift for young readers, who are always asking questions about our planet! At DK, we believe in the power of discovery. This thrilling kid’s encyclopedia is part of the Knowledge Encyclopedia educational series. Celebrate your child’s curiosity as they complete the collection and discover diverse facts about the world around them. Dive into the deep blue with Knowledge Encyclopedia Ocean! Travel back in time to when dinosaurs roamed the earth with Knowledge Encyclopedia Dinosaur! And hone your knowledge on how the human body works with Knowledge Encyclopedia Human Body! Whatever topic takes their fancy, there’s an encyclopedia for everyone!