W. R. Dedekind. The first presents Dedekind's theory of the irrational number-the Dedekind cut idea-perhaps the most famous of several such theories created in the 19th century to give a precise meaning to irrational numbers, which had been used on an intuitive basis since Greek times. This paper provided a purely arithmetic and perfectly rigorous foundation for the irrational numbers and thereby a rigorous meaning of continuity in analysis.The second essay is an attempt to give a logical basis for transfinite numbers and properties of the natural numbers. It examines the notion of natural numbers, the distinction between finite and transfinite (infinite) whole numbers, and the logical validity of the type of proof called mathematical or complete induction.The contents of these essays belong to the foundations of mathematics and will be welcomed by those who are prepared to look into the somewhat subtle meanings of the elements of our number system. As a major work of an important mathematician, the book deserves a place in the personal library of every practicing mathematician and every teacher and historian of mathematics. Authorized translations by "Vooster " V. Beman.

    But for those of us who left math behind in high school, the numbers and figures hurled at us as we go about our days can sometimes leave us scratching our heads and feeling as if we’re fumbling through a mathematical minefield. In this eye-opening and extraordinarily accessible book, mathemati­cian Kit Yates illuminates hidden principles that can help us understand and navigate the chaotic and often opaque surfaces of our world. In The Math of Life and Death, Yates takes us on a fascinating tour of everyday situations and grand-scale applications of mathematical concepts, including exponential growth and decay, optimization, statistics and probability, and number systems. Along the way he reveals the mathematical undersides of controversies over DNA testing, medical screening results, and historical events such as the Chernobyl disaster and the Amanda Knox trial. Readers will finish this book with an enlightened perspective on the news, the law, medicine, and history, and will be better equipped to make personal decisions and solve problems with math in mind, whether it’s choosing the shortest checkout line at the grocery store or halting the spread of a deadly disease.

    This book is very useful for all Students

    

    Capturing the tone of students exchanging ideas among themselves, this unique guide also explains how calculus is taught, how to get the best teachers, what to study, and what is likely to be on exams—all the tricks of the trade that will make learning the material of first-semester calculus a piece of cake. Funny, irreverent, and flexible, How to Ace Calculus shows why learning calculus can be not only a mind-expanding experience but also fantastic fun.

    People need cheering up. I have the answer. ‘Pills, Thrills and Methadone Spills: Adventures of a Community Pharmacist’ is a collection of the best blogs, tweets and anecdotes about the wonderful world of pharmacy.“If the shutter is three quarters down, then we are shut and not just vertically challenged”...“Gave me huge insight into the ‘real’ world of community pharmacy – I didn’t realise just how much pharmacists deal with on a day to day basis, so for me this was very informative, but in a reallyclever, and massively funny way!” Lucy Pitt, Marketing Manager, The Pharmacy Show“As well as being brilliantly funny, this book is a refreshingly honest view of the world of pharmacy. From student pharmacists to the fully-qualified, every chapter provides a story that the reader can relate to and enjoy.” Georgia Salter, Pharmacy Student“A well observed reflection of life in pharmacy with very funny reflections” Catherine Duggan, Royal Pharmaceutical Society"It is always fun to be reminded that pharmacists' perils and fun at the workplace are similar irrespective of which country we practise in!" Selina Hui-Hoong Wee , Pharmacist, Malaysia“A great entertaining and amusing read" Mike Holden, Chief Executive, National Pharmacy AsociationThanks to Laura Martins for her initial book cover design!

    

    In this book you will find some shocking details of the great figures of science such as Newton, Galileo, Kepler, Copernicus and Kant, presented with the characteristic humor that only a popularizer of science as Sergio de Regules could bring to this wonderful collection of essays.

    Catch a glimpse of what she saw, touched, smelled, and even tasted during an average workday. Dare to join her as she takes you through a difficult journey of memories, uncovering layers of emotional trauma left behind. Discover the ways she healed from yesterday's pain to live an emotionally balanced life today.

    

    Professor Resnick presents a fundamental and unified development of the subject with unusually clear discussions of the aspects that usually trouble beginners. He includes, for example, a section on the common sense of relativity. His presentation is lively and interspersed with historical, philosophical and special topics (such as the twin paradox) that will arouse and hold the reader's interest. You'll find many unique features that help you grasp the material, such as worked-out examples, summary tables, thought questions and a wealth of excellent problems. The emphasis throughout the book is physical. The experimental background, experimental confirmation of predictions, and the physical interpretation of principles are stressed. The book treats relativistic kinematics, relativistic dynamics, and relativity and electromagnetism and contains special appendices on the geometric representation of space-time and on general relativity. Its organization permits an instructor to vary the length and depth of his treatment and to use the book either with or following classical physics. These features make it an ideal companion for introductory course

    Not anymore. The best-selling author of The Complete Idiot's Guide® to Calculus has taken what appears to be a typical calculus workbook, chock full of solved calculus problems, and made legible notes in the margins, adding missing steps and simplifying solutions. Finally, everything is made perfectly clear. Students will be prepared to solve those obscure problems that were never discussed in class but always seem to find their way onto exams.--Includes 1,000 problems with comprehensive solutions--Annotated notes throughout the text clarify what's being asked in each problem and fill in missing steps--Kelley is a former award-winning calculus teacher

    Thoroughly updated, this edition offers new, faster techniques for solving differential equations generated by the emergence of high-speed computers.

    From the classroom to the courtroom and from financial markets to supermarkets, Mlodinow's intriguing and illuminating look at how randomness, chance, and probability affect our daily lives will intrigue, awe, and inspire.

    Updated for 2014 with the latest fitness and nutrition advice and brand new real-life running stories, it is the must-have guide for aspiring runners. Running Made Easy takes things right back to basics with the easiest-ever beginner’s plan, fill-in charts and diary sections, plus all the jargon-free tips and advice you need to learn to love running. Whether you’re heading out for a long-distance run or a jog around the block, this book will keep you on track. You will find warm-up and cool-down exercise plans (complete with clear step-by-step illustrations), advice on goal setting and motivating real-life stories from runners just like you. Read this book and we guarantee that you’ll run away with a healthier mind and body, feeling empowered to succeed at whatever challenge you set yourself � whether that’s running a lap of your local park, tackling your first race or marathon, or just changing your life for the better.