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Book How Mathematicians Think

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.

Book Human Resource Management

Download or read book Human Resource Management written by John M. Ivancevich and published by McGraw-Hill. This book was released on 2001 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt: Human Resource Management (HRM) takes a managerial orientation; and is viewed as being relevant to managers in every unit, project, or team. Managers are constantly faced with HRM issues, problems, and decision making and the text's primary goal is to show how each manager must be a human resource problem solver and diagnostician. This book pays attention to the application of HRM approaches in "real organizational" settings and situations. Realism, understanding, and critical thinking were important in the revision. Users have continuously been satisfied with the consistent writing style and level of presentation.

Book Number Theory 1

    Book Details:
  • Author : Kazuya Kato
  • Publisher : American Mathematical Soc.
  • Release : 2000
  • ISBN : 9780821808634
  • Pages : 180 pages

Download or read book Number Theory 1 written by Kazuya Kato and published by American Mathematical Soc.. This book was released on 2000 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the English translation of the original Japanese book. In this volume, "Fermat's Dream", core theories in modern number theory are introduced. Developments are given in elliptic curves, $p$-adic numbers, the $\zeta$-function, and the number fields. This work presents an elegant perspective on the wonder of numbers. Number Theory 2 on class field theory, and Number Theory 3 on Iwasawa theory and the theory of modular forms, are forthcoming in the series.

Book Health Reforms Across The World  The Experience Of Twelve Small And Medium sized Nations With Changing Their Healthcare Systems

Download or read book Health Reforms Across The World The Experience Of Twelve Small And Medium sized Nations With Changing Their Healthcare Systems written by Kieke G Okma and published by World Scientific. This book was released on 2020-02-24 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the health reform experiences over the past three decades of twelve small and medium-sized nations that are not often included in international comparative studies in this field. The major conclusion of the study is that despite many similarities in policy goals, policy challenges and in the menu of policy options for countries that seek to offer universal coverage to their population, the health reforms of the nations in this book did not converge into one direction or model. However, we found several widespread policy experiences that are relevant for others, too.For example, user fees are unpopular everywhere. Governments often try to soften the consequences by exempting large groups of users, thus largely defeating the very purpose of those fees.As a second example, the introduction of new payment modes for medical care — like the shift from fee for service to case-based payment — took much longer than originally expected everywhere, and also failed to deliver their promises of improved transparency or efficiency gains A third example is that proposals are for universal coverage often ignore the challenges of implementing new financing models that elsewhere took decades if not centuries to develop.The conclusions contain both empirical findings and theoretical conclusions of interest to policy-makers and scholars of international comparison. It is accessible for academics, healthcare managers and students as well as a wider audience of readers interested in the changes in healthcare across the world.

Book Translations of Mathematical Monographs

Download or read book Translations of Mathematical Monographs written by and published by . This book was released on 1962 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Godel

    Book Details:
  • Author : John L. Casti
  • Publisher :
  • Release : 2009-04-21
  • ISBN : 0786747609
  • Pages : 222 pages

Download or read book Godel written by John L. Casti and published by . This book was released on 2009-04-21 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kurt Gödel was an intellectual giant. His Incompleteness Theorem turned not only mathematics but also the whole world of science and philosophy on its head. Shattering hopes that logic would, in the end, allow us a complete understanding of the universe, Gödel's theorem also raised many provocative questions: What are the limits of rational thought? Can we ever fully understand the machines we build? Or the inner workings of our own minds? How should mathematicians proceed in the absence of complete certainty about their results? Equally legendary were Gödel's eccentricities, his close friendship with Albert Einstein, and his paranoid fear of germs that eventually led to his death from self-starvation. Now, in the first book for a general audience on this strange and brilliant thinker, John Casti and Werner DePauli bring the legend to life.

Book Random Matrices  Frobenius Eigenvalues  and Monodromy

Download or read book Random Matrices Frobenius Eigenvalues and Monodromy written by Nicholas M. Katz and published by American Mathematical Society. This book was released on 2023-11-13 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main topic of this book is the deep relation between the spacings between zeros of zeta and $L$-functions and spacings between eigenvalues of random elements of large compact classical groups. This relation, the Montgomery-Odlyzko law, is shown to hold for wide classes of zeta and $L$-functions over finite fields. The book draws on and gives accessible accounts of many disparate areas of mathematics, from algebraic geometry, moduli spaces, monodromy, equidistribution, and the Weil conjectures, to probability theory on the compact classical groups in the limit as their dimension goes to infinity and related techniques from orthogonal polynomials and Fredholm determinants.

Book Modelling with Differential and Difference Equations

Download or read book Modelling with Differential and Difference Equations written by Glenn Fulford and published by Cambridge University Press. This book was released on 1997-06-12 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: Any student wishing to solve problems via mathematical modelling will find that this book provides an excellent introduction to the subject.

Book A History of Abstract Algebra

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 2007-09-20 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book does nothing less than provide an account of the intellectual lineage of abstract algebra. The development of abstract algebra was propelled by the need for new tools to address certain classical problems that appeared insoluble by classical means. A major theme of the book is to show 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. Mathematics instructors, algebraists, and historians of science will find the work a valuable reference.

Book Linear Algebra and Differential Equations

Download or read book Linear Algebra and Differential Equations written by Alexander Givental and published by American Mathematical Soc.. This book was released on 2001 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: The material presented in this book corresponds to a semester-long course, ``Linear Algebra and Differential Equations'', taught to sophomore students at UC Berkeley. In contrast with typical undergraduate texts, the book offers a unifying point of view on the subject, namely that linear algebra solves several clearly-posed classification problems about such geometric objects as quadratic forms and linear transformations. This attractive viewpoint on the classical theory agrees well with modern tendencies in advanced mathematics and is shared by many research mathematicians. However, the idea of classification seldom finds its way to basic programs in mathematics, and is usually unfamiliar to undergraduates. To meet the challenge, the book first guides the reader through the entire agenda of linear algebra in the elementary environment of two-dimensional geometry, and prior to spelling out the general idea and employing it in higher dimensions, shows how it works in applications such as linear ODE systems or stability of equilibria. Appropriate as a text for regular junior and honors sophomore level college classes, the book is accessible to high school students familiar with basic calculus, and can also be useful to engineering graduate students.

Book Integration   A Functional Approach

Download or read book Integration A Functional Approach written by Klaus Bichteler and published by Springer Science & Business Media. This book was released on 2010-11-23 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers Lebesgue integration and its generalizations from Daniell's point of view, modified by the use of seminorms. Integrating functions rather than measuring sets is posited as the main purpose of measure theory. From this point of view Lebesgue's integral can be had as a rather straightforward, even simplistic, extension of Riemann's integral; and its aims, definitions, and procedures can be motivated at an elementary level. The notion of measurability, for example, is suggested by Littlewood's observations rather than being conveyed authoritatively through definitions of (sigma)-algebras and good-cut-conditions, the latter of which are hard to justify and thus appear mysterious, even nettlesome, to the beginner. The approach taken provides the additional benefit of cutting the labor in half. The use of seminorms, ubiquitous in modern analysis, speeds things up even further. The book is intended for the reader who has some experience with proofs, a beginning graduate student for example. It might even be useful to the advanced mathematician who is confronted with situations - such as stochastic integration - where the set-measuring approach to integration does not work.

Book The Sex Starved Marriage

Download or read book The Sex Starved Marriage written by Michele Weiner-Davis and published by Simon & Schuster Limited. This book was released on 2004 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Not tonight, darling, I've got a headache...' An estimated one in three couples suffer from problems associated with one partner having a higher libido than the other. Marriage therapist Michele Weiner Davis has written THE SEX-STARVED MARRIAGE to help couples come to terms with this problem. Weiner Davis shows you how to address pyschological factors like depression, poor body image and communication problems that affect sexual desire. With separate chapters for the spouse that's ready for action and the spouse that's ready for sleep, THE SEX-STARVED MARRIAGE will help you re-spark your passion and stop you fighting about sex. Weiner Davis is renowned for her straight-talking style and here she puts it to great use to let you know you're not alone in having marital sex problems. Bitterness or complacency about ho-hum sex can ruin a marriage, breaking the emotional tie of good sex.

Book Logical Dilemmas

    Book Details:
  • Author : John Dawson
  • Publisher : A K Peters/CRC Press
  • Release : 2005-06-06
  • ISBN : 9781568812564
  • Pages : 376 pages

Download or read book Logical Dilemmas written by John Dawson and published by A K Peters/CRC Press. This book was released on 2005-06-06 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This authoritative biography of Kurt Goedel relates the life of this most important logician of our time to the development of the field. Goedel's seminal achievements that changed the perception and foundations of mathematics are explained in the context of his life from the turn of the century Austria to the Institute for Advanced Study in Princeton.