It emphasizes forms suitable for students and researchers whose interest lies in solving equations rather than in general theory. Solutions to odd-numbered problems appear at the end. 1957 edition.

    But there is one other motive which is as strong as any of these — the search for beauty. Mathematics is an art, and as such affords the pleasures which all the arts afford." In this erudite, entertaining college-level text, Morris Kline, Professor Emeritus of Mathematics at New York University, provides the liberal arts student with a detailed treatment of mathematics in a cultural and historical context. The book can also act as a self-study vehicle for advanced high school students and laymen. Professor Kline begins with an overview, tracing the development of mathematics to the ancient Greeks, and following its evolution through the Middle Ages and the Renaissance to the present day. Subsequent chapters focus on specific subject areas, such as "Logic and Mathematics," "Number: The Fundamental Concept," "Parametric Equations and Curvilinear Motion," "The Differential Calculus," and "The Theory of Probability." Each of these sections offers a step-by-step explanation of concepts and then tests the student's understanding with exercises and problems. At the same time, these concepts are linked to pure and applied science, engineering, philosophy, the social sciences or even the arts.In one section, Professor Kline discusses non-Euclidean geometry, ranking it with evolution as one of the "two concepts which have most profoundly revolutionized our intellectual development since the nineteenth century." His lucid treatment of this difficult subject starts in the 1800s with the pioneering work of Gauss, Lobachevsky, Bolyai and Riemann, and moves forward to the theory of relativity, explaining the mathematical, scientific and philosophical aspects of this pivotal breakthrough. Mathematics for the Nonmathematician exemplifies Morris Kline's rare ability to simplify complex subjects for the nonspecialist.

    It will lead you to hate doctors, lawyers, and insurance companies. By the time you finish, you’ll have fallen in love with Kim. This deeply inspiring tale is destined to become the most important book ever written about chronic pain and pain management in today’s healthcare environment.

    Esther thinks she has a pretty good life. She plays bridge, reads for her book club, and routinely drives her Cadillac DeVille into the mailboxes of her neighbors. Her latest mailbox mishap leads her to the doorstep of some mysterious new residents of her neighborhood. As she introduces herself to Sarah, the elderly woman who answers the door, Esther soon realizes that there’s something wrong with her.Eighty-nine-year-old Muriel Schwartz has also met the new neighbor Sarah, along with Sarah’s son David and daughter-in-law Dianne. David and Dianne ask Muriel to look in on Sarah for a couple of hours each day while they’re at work, and because Muriel is having financial troubles and needs the money, she agrees to help out. When Esther hears of this plan, she offers to lend a hand.Eighty-five-year-old Rosalie Sherman, Esther’s widowed sister-in-law, thinks that both Esther and Muriel have lost their minds and wants no part in what she sees as a ridiculous care-giving arrangement doomed to fail. Rosalie never shies away from saying what she thinks, but Esther is taken aback at Rosalie’s emphatic refusal to help out with Sarah.With a touch of humor and a lot of heartfelt warmth, The Enlightenment of Esther paints a vivid portrait of the lives of Esther and her contemporaries, all in their seventies and eighties, and how their relationships intersect and intertwine in ways even Esther couldn’t have predicted. But if anyone can solve this mystery of just exactly who Sarah, David, and Dianne are, Esther Kellerman can!

    Over 100 problems at ends of chapters. Answers in back of book. 1962 edition.

    Why do living things and physical phenomena take the forms they do? Analyzing the mathematical and physical aspects of biological processes, this historic work, first published in 1917, has become renowned as well for the poetry of is descriptions.

    The Fourth Edition builds on this strength with new examples, additional applications and increased cryptology coverage. Up-to-date information on the latest discoveries is included.Elementary Number Theory and Its Applications provides a diverse group of exercises, including basic exercises designed to help students develop skills, challenging exercises and computer projects. In addition to years of use and professor feedback, the fourth edition of this text has been thoroughly accuracy checked to ensure the quality of the mathematical content and the exercises.

    This book can be cut, drawn in, folded into shapes and will even take you to the fourth dimension. So join stand-up mathematician Matt Parker on a journey through narcissistic numbers, optimal dating algorithms, at least two different kinds of infinity and more.

    Nor do you need to be a great scientist to appreciate the exciting discoveries and intriguing mysteries of our universe. Dr. Robert piccioni brings the excitement of modern scientific discoveries to general audiences. He makes the key facts and concepts understandable without "dumbing" them down. He presents them in a friendly, conversational manner and includes many personal anecdotes about the people behind the science. With 33 images and over 100 graphics, this book explains the real science behind the headlines and sound bites. Learn all about:our universe: how big? how old? what came before?the big bang, black holes and supernovaequantum mechanics and uncertaintyhow the immense and the minute are connectedwhat is special about general relativityhow mankind can become earth's best friend

    However, it is one of the basic principles of quantum theory, the most widely accepted explanation of the subatomic world - and one of the fascinating subjects dealt with in Equations of Eternity.

    Ten dimensions? Most of us have barely gotten used to the idea that there are four.Using simple geometry and an easygoing writing style, author Rob Bryanton starts with the lower dimensions that we are all familiar with, then uses those concepts to build one layer upon another, ultimately arriving at a way of imagining the tenth dimension.Part scientific exploration, part philosophy, this unique book touches upon such diverse topics as dark matter, Feynman's "sum over paths", the quantum observer, and the soul. It is aimed at anyone interested in leading-edge theories about cosmology and the nature of reality, but it is not about mainstream physics. Rather, Imagining the Tenth Dimension is a mind-expanding exercise that could change the way you view this incredible universe in which we live.

    Asimov takes the reader on a rousing mental trip into the world of mathematics, physics, chemistry, biology, and astronomy.

    The most fundamental differences are philosophical, and readers of this book will emerge with a clearer understandingof paradoxical-sounding concepts such as infinity, curved space, and imaginary numbers. The first few chapters are about general aspects of mathematical thought. These are followed by discussions of more specific topics, and the book closes with a chapter answering common sociological questionsabout the mathematical community (such as Is it true that mathematicians burn out at the age of 25?) It is the ideal introduction for anyone who wishes to deepen their understanding of mathematics.About the Series: Combining authority with wit, accessibility, and style, Very Short Introductions offer an introduction to some of life's most interesting topics. Written by experts for the newcomer, they demonstrate the finest contemporary thinking about the central problems and issues in hundredsof key topics, from philosophy to Freud, quantum theory to Islam.

    These books have been long on theory and short on application. This work represents something completely different for this genre.In his previous book, God is Not Dead, Goswami proved that not only are science and religion compatible, but that quantum physics proves the existence of God. In this new book, Goswami moves beyond theory into the realm of action. He asserts that quantum thinking is striking the death blow to scientific materialism; that quantum thinking allows us to break from past bad habits and bring us into of free will and possibilities.Beginning with the question: "God is here, so what are you going to do about it?" Goswami calls for a plan of action that involves applying "quantum thinking" to a variety of societal issues. He issues a call for a spiritual economics that is concerned with our well-being rather than only our material needs; democracy that uses power to serve, instead of dominating others; education that liberates rather than shackles; and new healthy practices that restore wholeness.

    The calculus is not a hard subject and I prove this through an easy to read and obvious approach spanning only 100 pages. I have written this book with the following type of student in mind; the non-traditional student returning to college after a long break, a notoriously weak student in math who just needs to get past calculus to obtain a degree, and the garage tinkerer who wishes to understand a little more about the technical subjects. This book is meant to address the many fundamental thought-blocks that keep the average 'mathaphobe' (or just an interested person who doesn't have the time to enroll in a course) from excelling in mathematics in a clear and concise manner. It is my sincerest hope that this book helps you with your needs.Show more Show less