This book discusses real sequences and series, continuity, functions of several variables, elementary and implicit functions, Riemann and Riemann-Stieltjes integrals, and Lebesgue integrals.

    This ideal guide shows us how mathematics can illuminate the human condition.

    A Fistful of Wisdom reminds us that life is playful and it is demanding, but it is also a gift, a precious and priceless blessing. The more we learn to appreciate the beauty in simple things, the easier our survival. This book reminds us to observe and appreciate each passing moment and experience the pure joy of just being here and now. Bestselling author and mystic Om Swami doles out simple yet profound wisdom about the true meaning of happiness in his characteristic lighthearted way. Inside these pages, you will find a spiritual guru’s lucid solutions to problems and challenges related to modernday living.Om Swami is a mystic living in the Himalayan foothills. He has a Bachelor’s degree in business and an MBA from Sydney, Australia. Prior to his renunciation of this world, he founded and successfully ran a multimilliondollar software company. He is the bestselling author of The Ancient Science of Mantras, A Million Thoughts, Kundalini: An Untold Story, A Fistful of Love and If Truth Be Told: A Monk’s Memoir.

    And by improving the quality of your thinking, you can improve the quality of your life. It will make you more aware of what you think and why—and how you can change what you think.

    Admittedly real life wasn’t like that. But only, they argued, because we didn’t have enough data to be certain.Then the cracks began to appear. It proved impossible to predict exactly how three planets orbiting each other would move. Meteorologists discovered that the weather was truly chaotic – so dependent on small variations that it could never be predicted for more than a few days out. And the final nail in the coffin was quantum theory, showing that everything in the universe has probability at its heart.That gives human beings a problem. We understand the world through patterns. Randomness and probability will always be alien to us. But it’s time to plunge into this fascinating, shadowy world, because randomness crops up everywhere. Probability and statistics are the only way to get a grip on nature’s workings. They may even seal the fate of free will and predict how the universe will end.Forget Newton’s clockwork universe. Welcome to Dice World.

    Emphasis on developing algebraic skills is extended to the exercises--including both drill problems and applications. The authors work through examples and explanations with a blend of rigor and accessibility. In addition, they have refined the flow, transitions, organization, and portioning of the content over many editions to optimize learning for readers. The table of contents covers a wide range of topics efficiently, enabling readers to gain a diverse understanding.

    Dr. Doug Erlandson draws on concrete examples of good and bad reasoning from the political and social realm and everyday life to make his points in a sometimes lighthearted but always meaningful way. Here's a Preview of What's in the Book Identifying the differences between good and bad arguments Avoiding fallacies Creating good explanations Assessing probabilities Recognizing that statistics and numbers can lie ˃˃˃ Here's How You Benefit How to Think Clearly gives you the tools you need to critically assess the claims and counterclaims with which you are bombarded by politicians, pundits, commentators and editors, as well as coworkers, friends and family, and will aid you in developing skills to present your view in ways that are clear, coherent, sensible and persuasive. ˃˃˃ Suitable as a classroom text and for independent study How to Think Clearly is easy to understand and suitable for independent study. At the same time it offers the content and intellectual rigor that you would expect in a text for an introductory college-level course in critical thinking. ˃˃˃ What Others Are Saying About How to Think Clearly: A Guide to Critical Thinking Dr. Erlandson has given a wonderful introduction to good critical thinking: how to recognize good and bad arguments, helpful and non-helpful explanations, the ways that numbers can be manipulated. You can tell that he must be a good teacher. (G. Feltner)The author offers a refuge of reason within our culture of disregard for open-mindedness and rational discourse where the popular debate of serious issues or ideas is often a shouting match from the margins. (Cubs Fan)A great read for anyone who is new to logic and critical thinking, or someone who just wants to review and refresh their knowledge. (Paul D.) Scroll up and grab a copy today.

    As Martin writes, sages are the "primary keepers and transmitters of wisdom, culture, values, and spirituality." Martin's free-verse interpretation captures the ancient spirit of Lao Tzu's text, yet speaks directly to modern readers. The text is accompanied by a visual interpretation of the Tao in more than 50 original ink-brush drawings. Like the Parent's Tao and Couple's Tao before it, the Sage's Tao has the hallmarks of a classic. "You have ceased trying /To tie up all loose ends./You have discovered/That life does not need to be neat/You have more questions than answers,/And this is a great delight to you./You trust the mystery of life/Without having to possess it." - from the book

    New co-authors--Irl Bivens and Stephen Davis--from Davidson College; both distinguished educators and writers.* More emphasis on graphing calculators in exercises and examples, including CAS capabilities of graphing calculators.* More problems using tabular data and more emphasis on mathematical modeling.

    What do you say when your faith is challenged by those claiming to speak in the name of science or reason? Discerning Truth provides a practical and engaging resource on the use of logic in this critical debate. Filled with anecdotes from both creative examples and real-life illustrations that help clarify logical issues in apologetics. Become skilled at distinguishing sound arguments from emotionally-charged rhetoric. Helps any believer refute evolutionary perspectives. Lisle believes that creationists need to be able to recognize and refute evolutionist arguments, and to do so in a way that both honors God and lines up with the truth of His Word (Eph. 5:1). The role of logic, the study of correct reasoning, is becoming a vanishing skill in our society. Yet it is a vital tool in assisting Christians in assessing the weaknesses in evolutionary thought. Here is the clear and concise guide for every believer in defending your faith in the face of adversity.

     According to MSNBC, having a child makes you stupid. You actually lose IQ points. Good Morning America has announced that natural blondes will be extinct within two hundred years. Pundits estimated that there were more than a million demonstrators at a tea party rally in Washington, D.C., even though roughly sixty thousand were there. Numbers have peculiar powers-they can disarm skeptics, befuddle journalists, and hoodwink the public into believing almost anything. "Proofiness," as Charles Seife explains in this eye-opening book, is the art of using pure mathematics for impure ends, and he reminds readers that bad mathematics has a dark side. It is used to bring down beloved government officials and to appoint undeserving ones (both Democratic and Republican), to convict the innocent and acquit the guilty, to ruin our economy, and to fix the outcomes of future elections. This penetrating look at the intersection of math and society will appeal to readers of Freakonomics and the books of Malcolm Gladwell.

    Since then, Sylvia Nasar's celebrated biography A Beautiful Mind, the basis of a new major motion picture, has revealed the man. The Essential John Nash reveals his work--in his own words. This book presents, for the first time, the full range of Nash's diverse contributions not only to game theory, for which he received the Nobel, but to pure mathematics--from Riemannian geometry and partial differential equations--in which he commands even greater acclaim among academics. Included are nine of Nash's most influential papers, most of them written over the decade beginning in 1949.From 1959 until his astonishing remission three decades later, the man behind the concepts "Nash equilibrium" and "Nash bargaining"--concepts that today pervade not only economics but nuclear strategy and contract talks in major league sports--had lived in the shadow of a condition diagnosed as paranoid schizophrenia. In the introduction to this book, Nasar recounts how Nash had, by the age of thirty, gone from being a wunderkind at Princeton and a rising mathematical star at MIT to the depths of mental illness.In his preface, Harold Kuhn offers personal insights on his longtime friend and colleague; and in introductions to several of Nash's papers, he provides scholarly context. In an afterword, Nash describes his current work, and he discusses an error in one of his papers. A photo essay chronicles Nash's career from his student days in Princeton to the present. Also included are Nash's Nobel citation and autobiography.The Essential John Nash makes it plain why one of Nash's colleagues termed his style of intellectual inquiry as "like lightning striking." All those inspired by Nash's dazzling ideas will welcome this unprecedented opportunity to trace these ideas back to the exceptional mind they came from.

    

    Its flexible organization (with all chapters complete and self-contained) allows instructors the freedom to cover the topics they want in the order they choose.

    This book investigates what cannot be known. Rather than exploring the amazing facts that science, mathematics, and reason have revealed to us, this work studies what science, mathematics, and reason tell us cannot be revealed. In The Outer Limits of Reason, Noson Yanofsky considers what cannot be predicted, described, or known, and what will never be understood. He discusses the limitations of computers, physics, logic, and our own thought processes.Yanofsky describes simple tasks that would take computers trillions of centuries to complete and other problems that computers can never solve; perfectly formed English sentences that make no sense; different levels of infinity; the bizarre world of the quantum; the relevance of relativity theory; the causes of chaos theory; math problems that cannot be solved by normal means; and statements that are true but cannot be proven. He explains the limitations of our intuitions about the world -- our ideas about space, time, and motion, and the complex relationship between the knower and the known.Moving from the concrete to the abstract, from problems of everyday language to straightforward philosophical questions to the formalities of physics and mathematics, Yanofsky demonstrates a myriad of unsolvable problems and paradoxes. Exploring the various limitations of our knowledge, he shows that many of these limitations have a similar pattern and that by investigating these patterns, we can better understand the structure and limitations of reason itself. Yanofsky even attempts to look beyond the borders of reason to see what, if anything, is out there.