Originally published in 1637, it has been characterized as "the greatest single step ever made in the progress of the exact sciences" (John Stuart Mill); as a book which "remade geometry and made modern geometry possible" (Eric Temple Bell). It "revolutionized the entire conception of the object of mathematical science" (J. Hadamard).With this volume Descartes founded modern analytical geometry. Reducing geometry to algebra and analysis and, conversely, showing that analysis may be translated into geometry, it opened the way for modern mathematics. Descartes was the first to classify curves systematically and to demonstrate algebraic solution of geometric curves. His geometric interpretation of negative quantities led to later concepts of continuity and the theory of function. The third book contains important contributions to the theory of equations.This edition contains the entire definitive Smith-Latham translation of Descartes' three books: Problems the Construction of which Requires Only Straight Lines and Circles; On the Nature of Curved Lines; and On the Construction of Solid and Supersolid Problems. Interleaved page by page with the translation is a complete facsimile of the 1637 French text, together with all Descartes' original illustrations; 248 footnotes explain the text and add further bibliography.

    Cheng is a mathematician, so she knows how to make an airtight argument. But even for her, logic sometimes falls prey to emotion, which is why she still fears flying and eats more cookies than she should. If a mathematician can't be logical, what are we to do? In this book, Cheng reveals the inner workings and limitations of logic, and explains why alogic--for example, emotion--is vital to how we think and communicate. Cheng shows us how to use logic and alogic together to navigate a world awash in bigotry, mansplaining, and manipulative memes. Insightful, useful, and funny, this essential book is for anyone who wants to think more clearly.

    Since then, Sylvia Nasar's celebrated biography A Beautiful Mind, the basis of a new major motion picture, has revealed the man. The Essential John Nash reveals his work--in his own words. This book presents, for the first time, the full range of Nash's diverse contributions not only to game theory, for which he received the Nobel, but to pure mathematics--from Riemannian geometry and partial differential equations--in which he commands even greater acclaim among academics. Included are nine of Nash's most influential papers, most of them written over the decade beginning in 1949.From 1959 until his astonishing remission three decades later, the man behind the concepts "Nash equilibrium" and "Nash bargaining"--concepts that today pervade not only economics but nuclear strategy and contract talks in major league sports--had lived in the shadow of a condition diagnosed as paranoid schizophrenia. In the introduction to this book, Nasar recounts how Nash had, by the age of thirty, gone from being a wunderkind at Princeton and a rising mathematical star at MIT to the depths of mental illness.In his preface, Harold Kuhn offers personal insights on his longtime friend and colleague; and in introductions to several of Nash's papers, he provides scholarly context. In an afterword, Nash describes his current work, and he discusses an error in one of his papers. A photo essay chronicles Nash's career from his student days in Princeton to the present. Also included are Nash's Nobel citation and autobiography.The Essential John Nash makes it plain why one of Nash's colleagues termed his style of intellectual inquiry as "like lightning striking." All those inspired by Nash's dazzling ideas will welcome this unprecedented opportunity to trace these ideas back to the exceptional mind they came from.

    These writers recount intensely personal and profoundly moving end-of-life accounts that cover a wide spectrum of human experience. All six authors are donating their royalties to a Maine hospice; Down East will also donate 10 percent of proceeds to the same cause.

    The authors help students learn key sociological concepts through real research examples related to the dynamic interplay of race, class, gender, and other social variables.

    Its flexible organization (with all chapters complete and self-contained) allows instructors the freedom to cover the topics they want in the order they choose.

    Baby becomes distressed at feeding times and refuses to feed or eats very little despite obvious hunger. Why won’t he/she eat? This is a question parents ask numerous health professionals while searching for a solution. Babies are typically diagnosed with one, two or three medical conditions to explain their aversive feeding behavior during brief appointments. Consequently, many parents don’t receive an effective solution from the health professionals they consult. This is why this book is so necessary. Rowena Bennett is an Australian nurse who holds professional qualifications in various nursing fields including pediatrics, midwifery, child health, mental health and lactation consultant. She has over 20 years experience advising parents how to resolve infant feeding and sleeping problems. Rowena has helped over 1000 babies get over their aversion to bottle-feeding and enjoy feeding once again. Parents claim the relief is life changing. In Your Baby’s Bottle-feeding Aversion, Rowena describes the various reasons babies display aversive feeding behavior, explains how the reader can identify the cause, and describes effective solutions. Included are step-by-step instructions on how to resolve a behavioral feeding aversion that occurs as a result of being repeatedly pressured to feed - the most common of all reasons for babies to become averse to feeding. Your Baby’s Bottle-feeding Aversion provides practical professional feeding advice that not only makes good sense, it works!

    Yet you'd have to fly every day for the next 26,000 years to assure yourself of dying in a crash. A leisurely canoe ride is more than 100 times deadlier. Think city streets are unsafe? You're more likely to come to harm in your own home, where every year you stand a 1 in 650 chance of being injured by your bed, mattress, or pillows—and each year 800 Americans die in accidents involving soft furnishings.We live in a world governed by fear, where packets of peanuts "may contain nuts" and children must be ever on the alert to "stranger danger." And yet, life expectancy has never been higher. Crime rates have plunged. Even unintentional injuries are down. So if we're so safe, why are we so afraid?How to Live Dangerously is a hilarious, straight-talking look at the things that terrify us. It considers life's real risks, not to mention the often ridiculous methods we've contrived to keep ourselves "safe." It encourages you to ignore fearmongers and embrace a new kind of freedom, in which we all worry a little less—and live a whole lot more.

    Composed of such luminaries as Kurt Gödel and Rudolf Carnap, and stimulated by the works of Ludwig Wittgenstein and Karl Popper, the Vienna Circle left an indelible mark on science.Exact Thinking in Demented Times tells the often outrageous, sometimes tragic, and never boring stories of the men who transformed scientific thought. A revealing work of history, this landmark book pays tribute to those who dared to reinvent knowledge from the ground up.

    

    We wouldn’t have unraveled DNA or discovered Neptune or figured out how to put 5,000 songs in your pocket. Though many of us were scared away from this essential, engrossing subject in high school and college, Steven Strogatz’s brilliantly creative, down‑to‑earth history shows that calculus is not about complexity; it’s about simplicity. It harnesses an unreal number—infinity—to tackle real‑world problems, breaking them down into easier ones and then reassembling the answers into solutions that feel miraculous. Infinite Powers recounts how calculus tantalized and thrilled its inventors, starting with its first glimmers in ancient Greece and bringing us right up to the discovery of gravitational waves (a phenomenon predicted by calculus). Strogatz reveals how this form of math rose to the challenges of each age: how to determine the area of a circle with only sand and a stick; how to explain why Mars goes “backwards” sometimes; how to make electricity with magnets; how to ensure your rocket doesn’t miss the moon; how to turn the tide in the fight against AIDS. As Strogatz proves, calculus is truly the language of the universe. By unveiling the principles of that language, Infinite Powers makes us marvel at the world anew.

    Addressing readers with both a general and scholarly interest in mathematics, Nahin weaves into this narrative entertaining historical facts, mathematical discussions, and the application of complex numbers and functions to important problems.

    Or you have persistent pain you and your doctor can't explain. Man or woman, you may be fighting fluctuating hormone levels. Or maybe you snore like a freight train.Anything that narrows the throat and interrupts sleep, particularly breathing problems brought on by sleep position, illness, life changes, or your anatomy, may be key to understanding a host of common health issues. In this groundbreaking book, Dr. Steven Park outlines a simple, rational explanation for what s making you sick, and provides guidance for treatment options that address specific health problems.

    Eat no meat from Monday through Friday. During the weekends, you're back to being a carnivore. Hill, who founded the eco-blog treehugger.com, has expanded the popular short talk he gave at TED 2010 with a life-changing digital book that explores the personal, economic, and societal benefits of moving meat out of your diet. Don't fear that vegetarian dishes all taste like sawdust. Hill includes great-tasting veggie recipes to get you started.

    It enables you to have complete control over style, design, and color of your garments. And once you learn the basic practice, you can knit almost anything you can think of. What stands in most people’s way is getting started. How do you learn to knit socks? Where do you find knitting patterns? This book answers all of those questions and more. What will this book teach you? • Getting started knitting socks • How to find the right knitting tools and correct needles for knitting your socks • How to pick the best knitting yarn • 10 Most popular sock knitting patterns • How to size your socks • How to knit socks from the Top-down • How to knit sock from the Toe-up • Sock Cast-on techniques, such as, Long Tail cast on, Eastern/ Turkish cast on • The Double Point and Circular Needle methods • Tips on how to knit long lasting, beautiful socks • And so much more!.. Even if you have never picked up a pair of knitting needles before, you can easily start knitting your way towards a pair of perfect socks with this book. It even includes a Glossary of Knitting Terms as an added BONUS, so as you expand your projects to other designs and find other patterns, you will never be in the dark. This book also includes 1 basic top-down sock pattern and 7 additional popular sock patterns for you to work on. While this book is intended to get you started in the world of knitting, it can easily serve as a refresher for even the most experienced knitter! Whether you want to get started or want to get back to basics and hone your skills, "Knitting Socks for Beginners" is the book for you. From Tube socks to Fair Isle socks, you have all the information and knitting patterns you need. Socks are not necessarily the easiest thing to knit, but the techniques used to make a pair of socks introduces you to everything else you need to know about knitting. This book will guide you through every stage of the knitting process and help you create a pair of perfectly knitted socks, in just three days! There is no better book for learning the basics of knitting. This acts as the perfect springboard for more complex knitting projects, with all of the techniques, tips, and terms spelled out to keep you on the right track. If you are looking for a great book about sock knitting, look no further. Get your copy of "Knitting Socks for Beginners" today! Check Out What Others Are Saying... "This is a brilliant book for beginners. I've never tried knitting before but now can't wait to get started. The author goes through every step of the knitting process in fine detail. The book is very well written and has excellent photographs and diagrams. I would definitely recommend this book to anyone who wants to try sock knitting for the first time." - Lesley H "I've been thinking of knitting for quite a awhile now. I'm glad I stumbled on this book. I'm a total newbie so this book is perfect for me. "Knitting socks for beginners" gives step by step instructions to get started at knitting socks. Has tons of info- tools, needle size,yarn types. Great help for the beginner.