The Calculus Lifesaver provides students with the essential tools they need not only to learn calculus, but to excel at it.All of the material in this user-friendly study guide has been proven to get results. The book arose from Adrian Banner's popular calculus review course at Princeton University, which he developed especially for students who are motivated to earn A's but get only average grades on exams. The complete course will be available for free on the Web in a series of videotaped lectures. This study guide works as a supplement to any single-variable calculus course or textbook. Coupled with a selection of exercises, the book can also be used as a textbook in its own right. The style is informal, non-intimidating, and even entertaining, without sacrificing comprehensiveness. The author elaborates standard course material with scores of detailed examples that treat the reader to an inner monologue--the train of thought students should be following in order to solve the problem--providing the necessary reasoning as well as the solution. The book's emphasis is on building problem-solving skills. Examples range from easy to difficult and illustrate the in-depth presentation of theory.The Calculus Lifesaver combines ease of use and readability with the depth of content and mathematical rigor of the best calculus textbooks. It is an indispensable volume for any student seeking to master calculus.Serves as a companion to any single-variable calculus textbookInformal, entertaining, and not intimidatingInformative videos that follow the book--a full forty-eight hours of Banner's Princeton calculus-review course--is available at Adrian Banner lecturesMore than 475 examples (ranging from easy to hard) provide step-by-step reasoningTheorems and methods justified and connections made to actual practiceDifficult topics such as improper integrals and infinite series covered in detailTried and tested by students taking freshman calculus

    But natural selection has given us a suite of beneficial social features, including our capacity for love, friendship, cooperation, and learning. Beneath all of our inventions -- our tools, farms, machines, cities, nations -- we carry with us innate proclivities to make a good society.In Blueprint, Nicholas A. Christakis introduces the compelling idea that our genes affect not only our bodies and behaviors, but also the ways in which we make societies, ones that are surprisingly similar worldwide.With many vivid examples -- including diverse historical and contemporary cultures, communities formed in the wake of shipwrecks, commune dwellers seeking utopia, online groups thrown together by design or involving artificially intelligent bots, and even the tender and complex social arrangements of elephants and dolphins that so resemble our own -- Christakis shows that, despite a human history replete with violence, we cannot escape our social blueprint for goodness.In a world of increasing political and economic polarization, it's tempting to ignore the positive role of our evolutionary past. But by exploring the ancient roots of goodness in civilization, Blueprint shows that our genes have shaped societies for our welfare and that, in a feedback loop stretching back many thousands of years, societies are still shaping our genes today.

    Topics include: Limits, Derivatives, and Integrations.

    And unlike dogs, cats offer humans no practical benefit. The truth is they are sadly incompetent mouse-catchers and now pose a threat to many ecosystems. Yet, we love them still.Content:Catacombs Cat's cradle What's the catch? The cats that ate the canaries The cat lobby CAT scan Pandora's litter box Lions and toygers and lykoi Nine likes.

    This stirring book reveals how scientific discovery has altered our perception of who we are and where we stand, and challenges us to weigh what we will do with that knowledge. Photos, many in color.

    Snyder exposes the political passions, religious impulses, friendships, rivalries, and love of knowledge—and power—that drove these extraordinary men.  Whewell (who not only invented the word “scientist,” but also founded the fields of crystallography, mathematical economics, and the science of tides), Babbage (a mathematical genius who invented the modern computer), Herschel (who mapped the skies of the Southern Hemisphere and contributed to the invention of photography), and Jones (a curate who shaped the science of economics) were at the vanguard of the modernization of science.  This absorbing narrative of people, science and ideas  chronicles the intellectual revolution inaugurated by these men, one that continues to mold our understanding of the world around us and of our place within it.  Drawing upon the voluminous correspondence between the four men over the fifty years of their work, Laura J. Snyder shows how friendship worked to spur the men on to greater accomplishments, and how it enabled them to transform science and help create the modern world.