How Mathematicians Think

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Author :
Publisher : Princeton University Press
ISBN 13 : 0691145997
Total Pages : 424 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis How Mathematicians Think by : William Byers

Download or read book How Mathematicians Think written by William Byers and published by Princeton University Press. This book was released on 2010-05-02 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: To many outsiders, mathematicians appear to think like computers, grimly grinding away with a strict formal logic and moving methodically--even algorithmically--from one black-and-white deduction to another. Yet mathematicians often describe their most important breakthroughs as creative, intuitive responses to ambiguity, contradiction, and paradox. A unique examination of this less-familiar aspect of mathematics, How Mathematicians Think reveals that mathematics is a profoundly creative activity and not just a body of formalized rules and results. Nonlogical qualities, William Byers shows, play an essential role in mathematics. Ambiguities, contradictions, and paradoxes can arise when ideas developed in different contexts come into contact. Uncertainties and conflicts do not impede but rather spur the development of mathematics. Creativity often means bringing apparently incompatible perspectives together as complementary aspects of a new, more subtle theory. The secret of mathematics is not to be found only in its logical structure. The creative dimensions of mathematical work have great implications for our notions of mathematical and scientific truth, and How Mathematicians Think provides a novel approach to many fundamental questions. Is mathematics objectively true? Is it discovered or invented? And is there such a thing as a "final" scientific theory? Ultimately, How Mathematicians Think shows that the nature of mathematical thinking can teach us a great deal about the human condition itself.

A History of Abstract Algebra

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 0817646841
Total Pages : 175 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis A History of Abstract Algebra by : Israel Kleiner

Download or read book A History of Abstract Algebra written by Israel Kleiner and published by Springer Science & Business Media. This book was released on 2007-10-02 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the history of abstract algebra. It shows how abstract algebra has arisen in attempting to solve some of these classical problems, providing a context from which the reader may gain a deeper appreciation of the mathematics involved.

Mathematical Publishing

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821872598
Total Pages : 324 pages
Book Rating : 4.8/5 (725 download)

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Book Synopsis Mathematical Publishing by : Steven George Krantz

Download or read book Mathematical Publishing written by Steven George Krantz and published by American Mathematical Soc.. This book was released on 2005 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematicians are expected to publish their work: in journals, conference proceedings, and books. It is vital to advancing their careers. Later, some are asked to become editors. However, most mathematicians are trained to do mathematics, not to publish it. But here, finally, for graduate students and researchers interested in publishing their work, Steven G. Krantz, the respected author of several "how-to" guides in mathematics, shares his experience as an author, editor, editorial board member, and independent publisher. This new volume is an informative, comprehensive guidebook to publishing mathematics. Krantz describes both the general setting of mathematical publishing and the specifics about all the various publishing situations mathematicians may encounter. As with his other books, Krantz's style is engaging and frank. He gives advice on how to get your book published, how to get organized as an editor, what to do when things go wrong, and much more. He describes the people, the language (including a glossary), and the process of publishing both books and journals. Steven G. Krantz is an accomplished mathematician and an award-winning author. He has published more than 130 research articles and 45 books. He has worked as an editor of several book series, research journals, and for the Notices of the AMS. He is also the founder of the Journal of Geometric Analysis. Other titles available from the AMS by Steven G. Krantz are How to Teach Mathematics, A Primer of Mathematical Writing, A Mathematician's Survival Guide, and Techniques of Problem Solving.

Nonplussed!

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Publisher : Princeton University Press
ISBN 13 : 1400837383
Total Pages : 213 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Nonplussed! by : Julian Havil

Download or read book Nonplussed! written by Julian Havil and published by Princeton University Press. This book was released on 2010-08-02 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: Math—the application of reasonable logic to reasonable assumptions—usually produces reasonable results. But sometimes math generates astonishing paradoxes—conclusions that seem completely unreasonable or just plain impossible but that are nevertheless demonstrably true. Did you know that a losing sports team can become a winning one by adding worse players than its opponents? Or that the thirteenth of the month is more likely to be a Friday than any other day? Or that cones can roll unaided uphill? In Nonplussed!—a delightfully eclectic collection of paradoxes from many different areas of math—popular-math writer Julian Havil reveals the math that shows the truth of these and many other unbelievable ideas. Nonplussed! pays special attention to problems from probability and statistics, areas where intuition can easily be wrong. These problems include the vagaries of tennis scoring, what can be deduced from tossing a needle, and disadvantageous games that form winning combinations. Other chapters address everything from the historically important Torricelli's Trumpet to the mind-warping implications of objects that live on high dimensions. Readers learn about the colorful history and people associated with many of these problems in addition to their mathematical proofs. Nonplussed! will appeal to anyone with a calculus background who enjoys popular math books or puzzles.

Fuchsian Reduction

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Publisher : Springer Science & Business Media
ISBN 13 : 0817643524
Total Pages : 296 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Fuchsian Reduction by : Satyanad Kichenassamy

Download or read book Fuchsian Reduction written by Satyanad Kichenassamy and published by Springer Science & Business Media. This book was released on 2007-09-18 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This four-part text beautifully interweaves theory and applications in Fuchsian Reduction. Background results in weighted Sobolev and Holder spaces as well as Nash-Moser implicit function theorem are provided. Most chapters contain a problem section and notes with references to the literature. This volume can be used as a text in graduate courses in PDEs and/or Algebra, or as a resource for researchers working with applications to Fuchsian Reduction. The comprehensive approach features the inclusion of problems and bibliographic notes.

Mathematical Olympiad Challenges

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1461221382
Total Pages : 270 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Mathematical Olympiad Challenges by : Titu Andreescu

Download or read book Mathematical Olympiad Challenges written by Titu Andreescu and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Olympiad Challenges is a rich collection of problems put together by two experienced and well-known professors and coaches of the U.S. International Mathematical Olympiad Team. Hundreds of beautiful, challenging, and instructive problems from algebra, geometry, trigonometry, combinatorics, and number theory were selected from numerous mathematical competitions and journals. An important feature of the work is the comprehensive background material provided with each grouping of problems. The problems are clustered by topic into self-contained sections with solutions provided separately. All sections start with an essay discussing basic facts and one or two representative examples. A list of carefully chosen problems follows and the reader is invited to take them on. Additionally, historical insights and asides are presented to stimulate further inquiry. The emphasis throughout is on encouraging readers to move away from routine exercises and memorized algorithms toward creative solutions to open-ended problems. Aimed at motivated high school and beginning college students and instructors, this work can be used as a text for advanced problem- solving courses, for self-study, or as a resource for teachers and students training for mathematical competitions and for teacher professional development, seminars, and workshops.

The Calculus Lifesaver

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Publisher : Princeton University Press
ISBN 13 : 0691130884
Total Pages : 754 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis The Calculus Lifesaver by : Adrian Banner

Download or read book The Calculus Lifesaver written by Adrian Banner and published by Princeton University Press. This book was released on 2007-03-25 with total page 754 pages. Available in PDF, EPUB and Kindle. Book excerpt: For many students, calculus can be the most mystifying and frustrating course they will ever take. Based upon Adrian Banner's popular calculus review course at Princeton University, this book provides students with the essential tools they need not only to learn calculus, but also to excel at it.

The Essential John Nash

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Publisher : Princeton University Press
ISBN 13 : 140088408X
Total Pages : 273 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis The Essential John Nash by : John Nash

Download or read book The Essential John Nash written by John Nash and published by Princeton University Press. This book was released on 2016-06-29 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: When John Nash won the Nobel prize in economics in 1994, many people were surprised to learn that he was alive and well. 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.

Lost Marbles

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Publisher :
ISBN 13 : 9781539409144
Total Pages : 0 pages
Book Rating : 4.4/5 (91 download)

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Book Synopsis Lost Marbles by : Natasha Tracy

Download or read book Lost Marbles written by Natasha Tracy and published by . This book was released on 2016-10-24 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Natasha Tracy has written a book that straddles the chasm between self-help and memoir. Natasha's own experiences with bipolar disorder and depression illustrate what it is truly like to live with serious mental illness and offer real-world ways to live better with it. Natasha pulls no punches, doesn't sugarcoat and yet still offers real hope to the reader. This book will give those with mental illness and their loved ones "ah-hah" moments on every page."--

The Legacy of Mario Pieri in Geometry and Arithmetic

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 0817646035
Total Pages : 508 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis The Legacy of Mario Pieri in Geometry and Arithmetic by : Elena Anne Marchisotto

Download or read book The Legacy of Mario Pieri in Geometry and Arithmetic written by Elena Anne Marchisotto and published by Springer Science & Business Media. This book was released on 2007-12-05 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first in a series of three volumes that comprehensively examine Mario Pieri’s life, mathematical work and influence. The book introduces readers to Pieri’s career and his studies in foundations, from both historical and modern viewpoints. Included in this volume are the first English translations, along with analyses, of two of his most important axiomatizations — one in arithmetic and one in geometry. The book combines an engaging exposition, little-known historical notes, exhaustive references and an excellent index. And yet the book requires no specialized experience in mathematical logic or the foundations of geometry.

Show Me All Your Scars

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Publisher : Underland Press
ISBN 13 : 1937163261
Total Pages : 207 pages
Book Rating : 4.9/5 (371 download)

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Book Synopsis Show Me All Your Scars by : Lee Gutkind

Download or read book Show Me All Your Scars written by Lee Gutkind and published by Underland Press. This book was released on 2016-07-17 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: Every year, one in four American adults suffers from a diagnosable mental health disorder. In these true stories, writers and their loved ones struggle as their worlds are upended. What do you do when your father kills himself, or your mother is committed to a psych ward, or your daughter starts hearing voices telling her to harm herself—or when you yourself hear such voices? Addressing bipolar disorder, OCD, trichillomania, self-harm, PTSD, and other diagnoses, these stories vividly depict the difficulties and sorrows—and sometimes, too, the unexpected and surprising rewards—of living with mental illness.

Depression

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Publisher : Oxford University Press
ISBN 13 : 0199558655
Total Pages : 153 pages
Book Rating : 4.1/5 (995 download)

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Book Synopsis Depression by : Mary Jane Tacchi

Download or read book Depression written by Mary Jane Tacchi and published by Oxford University Press. This book was released on 2017 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is depression? What is bipolar disorder? How are they diagnosed and how are they treated? This volume gives a history of these two disorders and considers how they are experienced and understood today. Scott and Tacchi also discuss how mood disorders can influence creativity.

That's Mental

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Publisher : Turner Publishing Company
ISBN 13 : 1684422914
Total Pages : 158 pages
Book Rating : 4.6/5 (844 download)

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Book Synopsis That's Mental by : Amanda Rosenberg

Download or read book That's Mental written by Amanda Rosenberg and published by Turner Publishing Company. This book was released on 2019-11-06 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Incredible!"—Samantha Irby, New York Times bestselling author of We Are Never Meeting in Real Life and Meaty Raw, witty, and unapologetic, That’s Mental is a collection of laugh-out-loud funny, confessional essays about the inappropriate, devastating, and strangely amusing side to being mentally ill. In her book, British comedy writer Amanda Rosenberg breaks down myths and misconceptions about what it means to live, laugh, love with bipolar II in a darkly funny, but familiar way. That’s Mental dives head-first into the overlooked and offbeat issues of mental illness, it shines a harsh, fitting room light on thoughts and ideas that are often avoided, because they’re uncomfortable or just downright embarrassing. These pages move through the everyday realities of mental illness, covering everything from, how reaching out for help is a fucking nightmare, to dealing with people who suggest “cures” for your depression, to making up excuses to miss work just so you can take a mental health day. That’s Mental is an uproarious and brutally honest collection of confessions from someone who’s been there, done that, and still has no idea what she’s doing.

The Bipolar II Disorder Workbook

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Author :
Publisher : New Harbinger Publications
ISBN 13 : 1608827682
Total Pages : 252 pages
Book Rating : 4.6/5 (88 download)

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Book Synopsis The Bipolar II Disorder Workbook by : Stephanie McMurrich Roberts

Download or read book The Bipolar II Disorder Workbook written by Stephanie McMurrich Roberts and published by New Harbinger Publications. This book was released on 2014-02-02 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most people have heard of bipolar disorder, a mental health condition that is marked by manic episodes and periods of intense depression. Bipolar II disorder differs from bipolar I in that sufferers may never experience a full manic episode, although they may experience periods of high energy and impulsiveness (hypomania), as well as depression and anxiety. If you have been diagnosed with bipolar II, or even if you think that you may have this disorder, you may be frightened by the highs and lows of your intense emotions. Fortunately, there are proven-effective treatments that can help you find a sense of calm and peace of mind. Written by an extremely accomplished team of bipolar experts, The Bipolar II Disorder Workbook is designed to help you manage the recurring depression, hypomania, and anxiety that can arise as a result of your condition. The convenient workbook format combines evidence-based cognitive behavioral therapy (CBT), dialectical behavioral therapy (DBT), and other mindfulness-based exercises to help you manage your emotions, track your progress, and ultimately live a happy and more productive life. This is the first self-help workbook available specifically for individuals diagnosed with bipolar II disorder.

The Bipolar Workbook

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Author :
Publisher : Guilford Press
ISBN 13 : 1593851626
Total Pages : 265 pages
Book Rating : 4.5/5 (938 download)

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Book Synopsis The Bipolar Workbook by : Monica Ramirez Basco

Download or read book The Bipolar Workbook written by Monica Ramirez Basco and published by Guilford Press. This book was released on 2005-12-21 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: This workbook delivers a hands-on resource, with a variety of tools that enable readers to recognize the early warning signs of an oncoming episode, develop plans for withstanding the seductive pull of manic episodes, and escape the paralysis of depression.

Loving Someone with Bipolar Disorder

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Author :
Publisher : New Harbinger Publications
ISBN 13 : 1608822214
Total Pages : 256 pages
Book Rating : 4.6/5 (88 download)

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Book Synopsis Loving Someone with Bipolar Disorder by : Julie A. Fast

Download or read book Loving Someone with Bipolar Disorder written by Julie A. Fast and published by New Harbinger Publications. This book was released on 2012-01-02 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Maintaining a relationship is hard enough without the added challenges of your partner’s bipolar disorder symptoms. Loving Someone with Bipolar Disorder offers information and step-by-step advice for helping your partner manage mood swings and impulsive actions, allowing you to finally focus on enjoying your relationship while also taking time for yourself. This book explains the symptoms of your partner’s disorder and offers strategies for preventing them and responding to these symptoms when they do occur. This updated edition includes a new section about the medications your partner may be taking so that you can understand the side effects and help monitor his or her bipolar treatment. As a supportive partner, you deserve support yourself. This book will help you create a more balanced, fulfilling relationship. Improve your relationship by learning how to: • Identify your partner’s symptom triggers so you can prevent episodes • Improve communication by stopping irrational “bipolar conversations” • Handle your partner’s emotional ups and downs • Foster closeness and connection with your partner

Surviving Manic Depression

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Author :
Publisher : Basic Books
ISBN 13 : 0786739479
Total Pages : 424 pages
Book Rating : 4.7/5 (867 download)

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Book Synopsis Surviving Manic Depression by : E Fuller Torrey

Download or read book Surviving Manic Depression written by E Fuller Torrey and published by Basic Books. This book was released on 2009-03-05 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: Surviving Manic Depression is the most authoritative book on this disorder, which affects more than two million people in the U.S. alone. Based on the latest research, it provides detailed coverage of every aspect of manic depression-from understanding its causes and treatments to choosing doctors and managing relapses-with guidance drawn from the latest scientific information. Drs. Torrey and Knable provide thorough, up-to-date coverage of all aspects of the disease, including a detailed description of symptoms (with many direct descriptions from patients themselves), risk factors, onset and cause, medications (including drugs still in the testing stage), psychotherapy, and rehabilitation, as well as information about how the disease affects children and adolescents. Here too are discussions of special problems related to manic depression, including alcohol and drug abuse, violent behavior, medication noncompliance, suicide, sex, AIDS, and confidentiality. Surviving Manic Depression also includes special features such as a listing of selected websites, books, videotapes, and other resources.