It has a reputation as a dry and difficult subject, a glorified form of geometry complicated by tedious computation. In this book, Eli Maor draws on his remarkable talents as a guide to the world of numbers to dispel that view. Rejecting the usual arid descriptions of sine, cosine, and their trigonometric relatives, he brings the subject to life in a compelling blend of history, biography, and mathematics. He presents both a survey of the main elements of trigonometry and a unique account of its vital contribution to science and social development. Woven together in a tapestry of entertaining stories, scientific curiosities, and educational insights, the book more than lives up to the title Trigonometric Delights.Maor, whose previous books have demystified the concept of infinity and the unusual number "e," begins by examining the "proto-trigonometry" of the Egyptian pyramid builders. He shows how Greek astronomers developed the first true trigonometry. He traces the slow emergence of modern, analytical trigonometry, recounting its colorful origins in Renaissance Europe's quest for more accurate artillery, more precise clocks, and more pleasing musical instruments. Along the way, we see trigonometry at work in, for example, the struggle of the famous mapmaker Gerardus Mercator to represent the curved earth on a flat sheet of paper; we see how M. C. Escher used geometric progressions in his art; and we learn how the toy Spirograph uses epicycles and hypocycles.Maor also sketches the lives of some of the intriguing figures who have shaped four thousand years of trigonometric history. We meet, for instance, the Renaissance scholar Regiomontanus, who is rumored to have been poisoned for insulting a colleague, and Maria Agnesi, an eighteenth-century Italian genius who gave up mathematics to work with the poor--but not before she investigated a special curve that, due to mistranslation, bears the unfortunate name "the witch of Agnesi." The book is richly illustrated, including rare prints from the author's own collection. Trigonometric Delights will change forever our view of a once dreaded subject.

    This is a very old science and its gems have lost their charm for us through everyday use. We have tried in this book to refresh them for you. The main part of the book is made up of problems. The best way to deal with them is: Solve the problem by yourself - compare your solution with the solution in the book (if it exists) - go to the next problem. However, if you have difficulties solving a problem (and some of them are quite difficult), you may read the hint or start to read the solution. If there is no solution in the book for some problem, you may skip it (it is not heavily used in the sequel) and return to it later. The book is divided into sections devoted to different topics. Some of them are very short, others are rather long. Of course, you know arithmetic pretty well. However, we shall go through it once more, starting with easy things. 2 Exchange of terms in addition Let's add 3 and 5: 3+5=8. And now change the order: 5+3=8. We get the same result. Adding three apples to five apples is the same as adding five apples to three - apples do not disappear and we get eight of them in both cases. 3 Exchange of terms in multiplication Multiplication has a similar property. But let us first agree on notation.

    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.

     Lorelei Taylor’s autistic son, Simon, is a suspect. But he didn't even know the girl. Did he? Simon is sixteen, vulnerable, and diagnosed with Asperger’s Syndrome. Lorelei knows her gentle son could never harm another person. But then she finds Simon’s camera full of photographs of the murdered girl, and her certainty begins to waver. As the police circle in on her son, Lorelei has only one choice—to solve the murder and exonerate Simon. But does she know her teenage son as well as she thought she did?

    Since its publication in 1908, it has been a classic work to which successive generations of budding mathematicians have turned at the beginning of their undergraduate courses. In its pages, Hardy combines the enthusiasm of a missionary with the rigor of a purist in his exposition of the fundamental ideas of the differential and integral calculus, of the properties of infinite series and of other topics involving the notion of limit.

    

    It is more concise and easier to read than some, yet it covers the breadth of emergency medicine practice more comprehensively than others. The bottom line is that I like this book. Just as previous editions did, the seventh presents all of the most pertinent and up-to-date information in a well-organized format that is comprehensive yet easy to read. That and many of the attractive new features in this current edition will ensure its place on my bookshelf for years to come."--JAMAWith 418 contributors representing over 120 medical centers around the world, Tintinalli’s Emergency Medicine is the most practical and clinically rigorous reference of its kind. It covers everything from prehospital care, disaster preparedness, and basic resuscitative techniques, to all the major diseases requiring emergency treatment, such as pulmonary emergencies, renal and GU disorders, and hemophilia. This authoritative, in-depth coverage makes this classic text indispensible not only in emergency departments, but also for residents and practitioners when studying or preparing for any exam they may face.While continuing to provide the most current information for acute conditions, the Seventh Edition of Tintinalli’s Emergency Medicine has been substantially revised and updated to cover all of the conditions for which patients seek emergency department care in a concise and easy-to-read-manner.NEW Features• Full-color design with more figures and tables than ever• Reader-friendly chapter presentation makes it easy to find important material.• Updated tables covering drugs and important clinical information• Patient safety considerations and injury prevention are integrated into chapters, as appropriate• Total revision of the dermatology section enables diagnosis by lesion description and body area affected, and provides current treatment• Organ systems sections reorganized to reflect considerations for actual clinical practice.• New chapters: New adult chapters include Natural Disasters, Aneurysms of the Aorta and Major Arteries; Hip and Knee Pain, Aortic Dissection; Acute Urinary Retention; Subarachnoid Hemorrhage and Intracranial Bleeding; Clotting Disorders; Community –acquired Pneumonia and Noninfectious Pulmonary Infiltrates; Type I Diabetes; Type II Diabetes; Anemia; Tests of Hemostasis; Clotting Disorders; Head Injury in Adults and Children; the Transplant Patient; Grief, Death and Dying; and Legal Issues in Emergency Medicine. Twelve new pediatric chapters including The Diabetic Child, Hematologic-Oncologic Emergencies, Ear and Mastoids, Eye Problems in Infants and Children, Neck Masses, GI Bleeding, Nose and Sinuses, Urologic and Gynecologic Procedures in children, Renal emergencies in children, Behavioral and Psychiatric Disorders in children, Pediatric Procedures, Pediatric ECG Interpretation• Greater coverage of procedures throughout for the most common conditions seen in the emergency department.• Companion DVD features an additional 17 chapters, such as Hyperbaric Oxygen Therapy, Principles of Imaging, Prison Medicine, Military Medicine, The Violent Patient, Forensics, Wound Ballistics, and Drug Interactions.• Companion DVD also features videos and animations for teaching and learning performance of important procedures, especially Ultrasound-Guided Procedures

    This text introduces students to proof techniques and writing proofs of their own. As such, it is an introduction to the mathematics enterprise, providing solid introductions to relations, functions, and cardinalities of sets.

    This book is designed to give the reader insight into the power and beauty that accrues from a rich interplay between different areas of mathematics. The book carefully develops the theory of different algebraic structures, beginning from basic definitions to some in-depth results, using numerous examples and exercises to aid the reader's understanding. In this way, readers gain an appreciation for how mathematical structures and their interplay lead to powerful results and insights in a number of different settings. * The emphasis throughout has been to motivate the introduction and development of important algebraic concepts using as many examples as possible.

    He has selected a group of diversions which are not only entertaining but mathematically meaningful as well. The result is a work which is rewarding on almost every level of mathematical achievement."—Miriam Hecht, Iscripta Mathematica

    Recently widowed, Darci Cunningham swims against popular current that she should take her time and heal after the sudden death of her husband. But in a bold turn, she decides to follow a dream set aside and moves to Mackinac Island to pursue her dream of writing.But as she prepares for her first winter on the island, she is unaware of the dangers that have washed ashore--one that may steal her heart, while the other may steal her life(*available in ebook and soon in paperback)

    It contains many puzzles and their solutions and aims to attract many readers in an age where computer science, logic, and mathematics are becoming increasingly important and popular.

    It is highly recommended for anyone planning to study advanced analysis, e.g., complex variables, differential equations, Fourier analysis, numerical analysis, several variable calculus, and statistics. It is also recommended for future secondary school teachers. A limited number of concepts involving the real line and functions on the real line are studied. Many abstract ideas, such as metric spaces and ordered systems, are avoided. The least upper bound property is taken as an axiom and the order properties of the real line are exploited throughout. A thorough treatment of sequences of numbers is used as a basis for studying standard calculus topics. Optional sections invite students to study such topics as metric spaces and Riemann-Stieltjes integrals.

    I thought our story had already been written. College sophomore Brooke Anderson thought she had it all − a loving family, her sexy high school sweetheart, a supportive, quick-witted best friend and dreams of being the next hotshot reporter for the Washington Post. Fate had something else in mind when Brooke collided with the devastatingly handsome upperclassman, Rich Davis. Rich was cocky, conceited and arrogant. He was everything that Brooke didn’t want, but Rich never gave her the option. He had already made the choice to be, at the very least, her friend. Would Brooke accept this egotistical man’s friendship? Would she choose to want more? Would it be too late if she did? Fast forward nearly ten years. Brooke’s life hadn’t played out quite as she had envisioned it. She was suffering from the heartbreaking loss of her mother, her high school sweetheart was long gone, and her dreams of the Washington Post had turned into a career at a small town paper. Brooke decided it was time to follow her dreams. If she couldn’t be happy in love, at least she could be happy in life. Brooke’s dreams brought her to the lobby of the Washington Post where fate intervened once again as she collided with none other than the devastatingly handsome Rich Davis. As her potential employer, Rich now seemed off-limits. Brooke wanted her successful career more than a chance at love. But, was it really her choice to make, or was it beyond her control? Maybe our story is, in fact, Unwritten…

    This book examines the huge scope of mathematical areas explored and developed by Euler, which includes number theory, combinatorics, geometry, complex variables and many more. The information known to Euler over 300 years ago is discussed, and many of his advances are reconstructed. Readers will be left in no doubt about the brilliance and pervasive influence of Euler's work.