No, hang on, let's make this interesting. Between zero and infinity. Even if you stick to the whole numbers, there are a lot to choose from - an infinite number in fact. Throw in decimal fractions and infinity suddenly gets an awful lot bigger (is that even possible?) And then there are the negative numbers, the imaginary numbers, the irrational numbers like pi which never end. It literally never ends.The world of numbers is indeed strange and beautiful. Among its inhabitants are some really notable characters - pi, e, the "imaginary" number i and the famous golden ratio to name just a few. Prime numbers occupy a special status. Zero is very odd indeed: is it a number, or isn't it?How Numbers Work takes a tour of this mind-blowing but beautiful realm of numbers and the mathematical rules that connect them. Not only that, but take a crash course on the biggest unsolved problems that keep mathematicians up at night, find out about the strange and unexpected ways mathematics influences our everyday lives, and discover the incredible connection between numbers and reality itself. ABOUT THE SERIESNew Scientist Instant Expert books are definitive and accessible entry points to the most important subjects in science; subjects that challenge, attract debate, invite controversy and engage the most enquiring minds. Designed for curious readers who want to know how things work and why, the Instant Expert series explores the topics that really matter and their impact on individuals, society, and the planet, translating the scientific complexities around us into language that's open to everyone, and putting new ideas and discoveries into perspective and context.

    Many people regard mathematicians as a race apart, possessed of almost supernatural powers. While this is very flattering for successful mathematicians, it is very bad for those who, for one reason or another, are attempting to learn the subject.'W.W. Sawyer's deep understanding of how we learn and his lively, practical approach have made this an ideal introduction to mathematics for generations of readers. By starting at the level of simple arithmetic and algebra and then proceeding step by step through graphs, logarithms and trigonometry to calculus and the dizzying world of imaginary numbers, the book takes the mystery out of maths. Throughout, Sawyer reveals how theory is subordinate to the real-life applications of mathematics - the Pyramids were built on Euclidean principles three thousand years before Euclid formulated them - and celebrates the sheer intellectual stimulus of mathematics at its best.

    Shows how any proof can be understood as a sequence of techniques. Covers the full range of techniques used in proofs, such as the contrapositive, induction, and proof by contradiction. Explains how to identify which techniques are used and how they are applied in the specific problem. Illustrates how to read written proofs with many step-by-step examples. Includes new, expanded appendices related to discrete mathematics, linear algebra, modern algebra and real analysis.

    Now the journey continues in a new, updated edition that includes all the latest information on mathematical proofs, fractals, prime numbers, and chaos, as well as new material on* the relationship between mathematical knots and DNA* how computers based on quantum logic can significantly speed up the factoring of large composite numbers* the relationship between four-dimensional geometry and physical theories of the nature of matter* the application of cellular automata models to social questions and the peregrinations of virtual ants* a novel mathematical model of quasicrystals based on decagon-shaped tilesBlazing a trail through rows of austere symbols and dense lines of formulae, Peterson explores the central ideas behind the work of professional mathematicians-- how and where their pieces of the mathematical puzzle fit in, the sources of their ideas, their fountains of inspiration, and the images that carry them from one discovery to another.

    The Golden Section—otherwise known as phi, the golden mean, or the golden ratio—is one of the most elegant and beautiful rations in the universe.Defined as a line segment divided into two unequal parts, such that the ratio of the shorter portion to the longer portion is the same as the ratio of the longer portion to the whole, it pops up throughout nature—in water, DNA, the proportions of fish and butterflies, and the number of teeth we possess—as well as in art and architecture, music, philosophy, science, and mathematics.Beautifully illustrated, The Golden Section tells the story of this remarkable construct and its wide-ranging impact on civilization and the natural world.

    In this new, innovative overview textbook, the authors put special emphasis on the deep ideas of mathematics, and present the subject through lively and entertaining examples, anecdotes, challenges and illustrations, all of which are designed to excite the student's interest. The underlying ideas include topics from number theory, infinity, geometry, topology, probability and chaos theory. Throughout the text, the authors stress that mathematics is an analytical way of thinking, one that can be brought to bear on problem solving and effective thinking in any field of study.

    The book offers insight into 21st century modern healthcare and the state of society. You will laugh, cry, and question your beliefs about the healthcare system and patients. Read this before you go to the doctor next and share this information with your family. Throughout the United States stories like these are unfolding each day as you witness the stress of physician training and the ups and downs of the physician's and patient's lives. Dr. Brandon Green is a pseudonym, or pen name, for author who wishes to remain anonymous. He is an Attending Surgeon at an inner-city Level 1 Trauma Center. The author's goals for writing this book include the following: 1.Create awareness and discussion about today’s healthcare and society. 2.Raise money with 30% of profits from the sale of this book being donated to healthcare non-profit organizations such as the American Cancer Society, the American Heart Association, and any current global medical pandemic funds. 3.Therapy for the author to recount the intern year, which was more stressful and educational than ever imagined. Unexpected emotions occurred and life lessons were taught beyond the surgical training. The short stories are real occurrences that happened to the author and his other two co-interns in one residency year. The author broke ties with the publisher who wanted to adjust the stories to meet societal norms, and now the work is being self published with profits as above going to charity instead of a large publishing company. The names and locations have been changed to provide privacy protection and follow HIPPA guidelines. The author hopes to continue dialogue and discussion on stories from behind the scenes at hospitals, clinics, and in the operating rooms. It's beneficial to communicate with colleagues and other healthcare professionals and staff running into similar circumstances on a day to day basis. Please visit DIARYOFAHO.COM and email your stories to be published on the website and social media.This is a work of sociology, psychology, medicine, surgery, dealing with the public, putting others ins front of yourself, and self-reflective learning. Any story will be accepted and uploaded into the blog and social media. Stories will be screened for HIPPA compliance prior to publishing online. Thank you for taking the time to read and understand what’s happening in modern healthcare training.

    Purchasers are entitled to a free trial membership in the General Books Club where they can select from more than a million books without charge. Subjects: Astronomy; History / General; Juvenile Nonfiction / Science

    This book will offer students a broad outline of essential mathematics and will help to fill in the gaps in their knowledge. The author explains the basic points and a few key results of all the most important undergraduate topics in mathematics, emphasizing the intuitions behind the subject. The topics include linear algebra, vector calculus, differential and analytical geometry, real analysis, point-set topology, probability, complex analysis, set theory, algorithms, and more. An annotated bibliography offers a guide to further reading and to more rigorous foundations.

    It was studied from antiquity to the Renaissance as a way of glimpsing the nature of reality. Geometry is number in space; music is number in time; and comology expresses number in space and time. Number, music, and geometry are metaphysical truths: life across the universe investigates them; they foreshadow the physical sciences.Quadrivium is the first volume to bring together these four subjects in many hundreds of years. Composed of six successful titles in the Wooden Books series-Sacred Geometry, Sacred Number, Harmonograph, The Elements of Music, Platonic & Archimedean Solids, and A Little Book of Coincidence-it makes ancient wisdom and its astonishing interconnectedness accessible to us today.Beautifully produced in six different colors of ink, Quadrivium will appeal to anyone interested in mathematics, music, astronomy, and how the universe works.

    In The Perfect Bet, mathematician and award-winning writer Adam Kucharski tells the astonishing story of how the experts have succeeded, revolutionizing mathematics and science in the process. The house can seem unbeatable. Kucharski shows us just why it isn't. Even better, he demonstrates how the search for the perfect bet has been crucial for the scientific pursuit of a better world.

    Focused on helping students understand and construct proofs and expanding their mathematical maturity, this best-selling text is an accessible introduction to discrete mathematics. Johnsonbaugh's algorithmic approach emphasizes problem-solving techniques. The Seventh Edition reflects user and reviewer feedback on both content and organization.

    (Except secretly you really do you masochistic, beastly person you.) Illustrated, painfully funny and drop-your-jaw ridiculous, this is trivia from the cesspit of time that you won't be able to stop reading once you start.*To aid childbirth.**They exploded it with 100 times too much dynamite and rained blubber down on unsuspecting people and buildings.***Decency prevents us from answering this one here. You'll have to buy the book to find out.

    The ancient Greeks gave birth to democracy, a political system frequently used and considered by some as the best form of government. Great minds from Greece also made incredible and vital discoveries such as the water mill, the basics of geometry and using medicine to cure illness. The ancient Greek philosophers laid the groundwork for a whole new field of thought and study. Ancient Greece offered the foundation of the Olympic games, which still run regularly today. Particularly famous historical figures such as Alexander the Great and Cleopatra also had ties to and roles during Greek history, through the course of wars and empire expansion. Given the influence of Ancient Greece, as you learn about this time and place, you will learn about your history and the origins of the people, places, and institutions you likely regularly studied in school. Starting in the Dark Ages, this book will take you on a captivating journey through the darkness, democracy, discovery, and development of Western Civilization. Some of the topics covered in this book include: Dawn of the Dark Ages From Darkness to Democracy Olympic Origins Greece Grows from War to War The Fight for Democracy The Peloponnesian War Enter Alexander the Great Great Minds of Ancient Greece Roman Take-Over Cleopatra and her Consorts Hadrian’s Travels Gothic Raids on Greece Rise of Christianity End of Antiquity And much more! Scroll to the top and select the "BUY NOW" button for instant download