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.

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.

Download or read book Deterritorialisations written by Mark Dorrian and published by Black Dog Architecture. This book was released on 2003 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, landscape has become increasingly recognised as a topic of central importance to a wide variety of disciplines. To a large degree this recognition has been based upon an expanding appreciation of the political aspects of landscape, its ideological character and effects. Landscapes and Politics is an innovative cross-disciplinary volume of new writing which brings together, in a strategic and productive encounter, a broad variety of critical work currently being done in this field. With 28 papers and five photo essays. Landscapes and Politics presents material by scholars and practitioners from anthropology, archaeology, architecture, art history, cultural studies, English and American literature, film studies, fine art, geography, history, landscape architecture, philosophy, political science, and religious studies. As an important marker of current methodologies, research and practice across these different disciplinary areas Landscapes and Politics is an invaluable resource. It will be of interest to all those concerned with current discourses and debates on landscape and its representation.

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.

Download or read book Searching and Seizing Computers and Obtaining Electronic Evidence in Criminal Investigations written by Orin S. Kerr and published by . This book was released on 2001 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Schur Algorithm Reproducing Kernel Spaces and System Theory written by Daniel Alpay and published by American Mathematical Soc.. This book was released on 2001 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: The class of Schur functions consists of analytic functions on the unit disk that are bounded by $1$. The Schur algorithm associates to any such function a sequence of complex constants, which is much more useful than the Taylor coefficients. There is a generalization to matrix-valued functions and a corresponding algorithm. These generalized Schur functions have important applications to the theory of linear operators, to signal processing and control theory, and to other areas of engineering. In this book, Alpay looks at matrix-valued Schur functions and their applications from the unifying point of view of spaces with reproducing kernels. This approach is used here to study the relationship between the modeling of time-invariant dissipative linear systems and the theory of linear operators. The inverse scattering problem plays a key role in the exposition. The point of view also allows for a natural way to tackle more general cases, such as nonstationary systems, non-positive metrics, and pairs of commuting nonself-adjoint operators. This is the English translation of a volume originally published in French by the Societe Mathematique de France. Translated by Stephen S. Wilson.

Download or read book Theta Constants Riemann Surfaces and the Modular Group written by Hershel M. Farkas and published by American Mathematical Soc.. This book was released on 2001 with total page 557 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are incredibly rich connections between classical analysis and number theory. For instance, analytic number theory contains many examples of asymptotic expressions derived from estimates for analytic functions, such as in the proof of the Prime Number Theorem. In combinatorial number theory, exact formulas for number-theoretic quantities are derived from relations between analytic functions. Elliptic functions, especially theta functions, are an important class of such functions in this context, which had been made clear already in Jacobi's Fundamenta nova. Theta functions are also classically connected with Riemann surfaces and with the modular group $\Gamma = \mathrm{PSL (2,\mathbb{Z )$, which provide another path for insights into number theory. Farkas and Kra, well-known masters of the theory of Riemann surfaces and the analysis of theta functions, uncover here interesting combinatorial identities by means of the function theory on Riemann surfaces related to the principal congruence subgroups $\Gamma(k)$. For instance, the authors use this approach to derive congruences discovered by Ramanujan for the partition function, with the main ingredient being the construction of the same function in more than one way. The authors also obtain a variant on Jacobi's famous result on the number of ways that an integer can be represented as a sum of four squares, replacing the squares by triangular numbers and, in the process, obtaining a cleaner result. The recent trend of applying the ideas and methods of algebraic geometry to the study of theta functions and number theory has resulted in great advances in the area. However, the authors choose to stay with the classical point of view. As a result, their statements and proofs are very concrete. In this book the mathematician familiar with the algebraic geometry approach to theta functions and number theory will find many interesting ideas as well as detailed explanations and derivations of new and old results. Highlights of the book include systematic studies of theta constant identities, uniformizations of surfaces represented by subgroups of the modular group, partition identities, and Fourier coefficients of automorphic functions. Prerequisites are a solid understanding of complex analysis, some familiarity with Riemann surfaces, Fuchsian groups, and elliptic functions, and an interest in number theory. The book contains summaries of some of the required material, particularly for theta functions and theta constants. Readers will find here a careful exposition of a classical point of view of analysis and number theory. Presented are numerous examples plus suggestions for research-level problems. The text is suitable for a graduate course or for independent reading.

Download or read book Reasoned Administration and Democratic Legitimacy written by Jerry L. Mashaw and published by Cambridge University Press. This book was released on 2018-09-27 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explains how administrative government maintains mutual respect among citizens, legitimates administrative government under law, and supports a realistic vision of democracy.

Download or read book Spatial Patterns written by L.A. Peletier and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of spatial patterns in extended systems, and their evolution with time, poses challenging questions for physicists and mathematicians alike. Waves on water, pulses in optical fibers, periodic structures in alloys, folds in rock formations, and cloud patterns in the sky: patterns are omnipresent in the world around us. Their variety and complexity make them a rich area of study. In the study of these phenomena an important role is played by well-chosen model equations, which are often simpler than the full equations describing the physical or biological system, but still capture its essential features. Through a thorough analysis of these model equations one hopes to glean a better under standing of the underlying mechanisms that are responsible for the formation and evolution of complex patterns. Classical model equations have typically been second-order partial differential equations. As an example we mention the widely studied Fisher-Kolmogorov or Allen-Cahn equation, originally proposed in 1937 as a model for the interaction of dispersal and fitness in biological populations. As another example we mention the Burgers equation, proposed in 1939 to study the interaction of diffusion and nonlinear convection in an attempt to understand the phenomenon of turbulence. Both of these are nonlinear second-order diffusion equations.

Download or read book Return of the Divine Sophia written by Tricia McCannon and published by Simon and Schuster. This book was released on 2015-03-06 with total page 479 pages. Available in PDF, EPUB and Kindle. Book excerpt: An initiatic journey into the Mysteries of the Goddess and humanity’s return to an age of peace and celestial light • Details the ceremonies and rituals of initiation into the Fellowship of Isis • Reveals the lost teachings of Jesus about the Divine Mother and Father and how the goddess Sophia is connected to Mary Magdalene as the Female Christ • Explores the many archetypes of the Goddess, including Isis, Brigit, and the Black Madonna, and how we can transform into Homo luminous, spiritual beings of light Called through her dreams by the Priestesses of Isis, Tricia McCannon set out on a spiritual journey into the Mysteries of the Goddess. After a fateful encounter with a high initiate of the ancient Fellowship of Isis, she began researching the history of Judaism and Christianity to find out how and when the Divine Feminine became lost. She discovered a forgotten age when the Creator was honored as female and humanity lived in peaceful societies completely free of war. She shows how we can return to an age of peace and celestial light if we work to bring the masculine and feminine energies of the world back into balance. Sharing her journey into the heart of the Divine Mother, McCannon details her initiation into the Fellowship of Isis, a process rich with ceremony, ritual, and myths of the Goddess from ancient Egyptian, Celtic, Greek, Hebrew, and Native American traditions. She reveals how the many archetypes of the Goddess, including Isis, Ishtar, Brigit, and the Black Madonna, can become our allies for self-transformation. She explores Mysteries at the heart of Christianity that have remained hidden for nearly 2,000 years and how the Gnostic goddess Sophia is tied to the Second Coming, Mary Magdalene, and the Female Christ. She reveals the lost teachings of Jesus about the Divine Mother and Father and about the Divine Daughter and Son. Through her story and her in-depth research, McCannon takes us on a journey to awaken the creative power of the Divine Feminine within each of us. Equipped with the teachings of the Goddess, we gain the mastery to overcome the deeply rooted masculine-feminine imbalance of the patriarchy and to embark into the future as Homo luminous, beings of light.

Download or read book Foundations of Logic and Mathematics written by Yves Nievergelt and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: This modern introduction to the foundations of logic and mathematics not only takes theory into account, but also treats in some detail applications that have a substantial impact on everyday life (loans and mortgages, bar codes, public-key cryptography). A first college-level introduction to logic, proofs, sets, number theory, and graph theory, and an excellent self-study reference and resource for instructors.

Download or read book XXXXX written by Xxxxx and published by xxxxx. This book was released on 2006 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: xxxxx proposes a radical, new space for artistic exploration, with essential contributions from a diverse range of artists, theorists, and scientists. Combining intense background material, code listings, screenshots, new translation, [the] xxxxx [reader] functions as both guide and manifesto for a thought movement which is radically opposed to entropic contemporary economies. xxxxx traces a clear line across eccentric and wide ranging texts under the rubric of life coding which can well be contrasted with the death drive of cynical economy with roots in rationalism and enlightenment thought. Such philosophy, world as machine, informs its own deadly flipside embedded within language and technology. xxxxx totally unpicks this hiroshimic engraving, offering an dandyish alternative by way of deep examination of software and substance. Life coding is primarily active, subsuming deprecated psychogeography in favour of acute wonderland technology, wary of any assumed transparency. Texts such as Endonomadology, a text from celebrated biochemist and chaos theory pioneer Otto E. Roessler, who features heavily throughout this intense volume, make plain the sadistic nature and active legacy of rationalist thought. At the same time, through the science of endophysics, a physics from the inside elaborated here, a delicate theory of the world as interface is proposed. xxxxx is very much concerned with the joyful elaboration of a new real; software-led propositions which are active and constructive in eviscerating contemporary economic culture. xxxxx embeds Perl Routines to Manipulate London, by way of software artist and Mongrel Graham Harwood, a Universal Dovetailer in the Lisp language from AI researcher Bruno Marchal rewriting the universe as code, and self explanatory Pornographic Coding from plagiarist and author Stewart Home and code art guru Florian Cramer. Software is treated as magical, electromystical, contrasting with the tedious GUI desktop applications and user-led drudgery expressed within a vast ghost-authored literature which merely serves to rehearse again and again the demands of industry and economy. Key texts, which well explain the magic and sheer art of programming for the absolute beginner are published here. Software subjugation is made plain within the very title of media theorist Friedrich Kittler's essay Protected Mode, published in this volume. Media, technology and destruction are further elaborated across this work in texts such as War.pl, Media and Drugs in Pynchon's Second World War, again from Kittler, and Simon Ford's elegant take on J.G Ballard's crashed cars exhibition of 1970, A Psychopathic Hymn. Software and its expansion stand in obvious relation to language. Attacking transparency means examining the prison cell or virus of language; life coding as William Burrough's cutup. And perhaps the most substantial and thorough-going examination is put forward by daring Vienna actionist Oswald Wiener in his Notes on the Concept of the Bio-adapter which has been thankfully unearthed here. Equally, Olga Goriunova's extensive examination of a new Russian literary trend, the online male literature of udaff.com provides both a reexamination of culture and language, and an example of the diversity of xxxxx; a diversity well reflected in background texts ranging across subjects such as Leibniz' monadology, the ur-crash of supreme flaneur Thomas de Quincey and several rewritings of the forensic model of Jack the Ripper thanks to Stewart Home and Martin Howse. xxxxx liberates software from the machinic, and questions the transparency of language, proposing a new world view, a sheer electromysticism which is well explained with reference to the works of Thomas Pynchon in Friedrich Kittler's essay, translated for the first time into English, which closes xxxxx. Further contributors include Hal Abelson, Leif Elggren, Jonathan Kemp, Aymeric Mansoux, and socialfiction.org.

Download or read book Complex Analysis in one Variable written by NARASIMHAN and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on a first-year graduate course I gave three times at the University of Chicago. As it was addressed to graduate students who intended to specialize in mathematics, I tried to put the classical theory of functions of a complex variable in context, presenting proofs and points of view which relate the subject to other branches of mathematics. Complex analysis in one variable is ideally suited to this attempt. Of course, the branches of mathema tics one chooses, and the connections one makes, must depend on personal taste and knowledge. My own leaning towards several complex variables will be apparent, especially in the notes at the end of the different chapters. The first three chapters deal largely with classical material which is avai lable in the many books on the subject. I have tried to present this material as efficiently as I could, and, even here, to show the relationship with other branches of mathematics. Chapter 4 contains a proof of Picard's theorem; the method of proof I have chosen has far-reaching generalizations in several complex variables and in differential geometry. The next two chapters deal with the Runge approximation theorem and its many applications. The presentation here has been strongly influenced by work on several complex variables.

Download or read book K Theory for Operator Algebras written by Bruce Blackadar and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: K -Theory has revolutionized the study of operator algebras in the last few years. As the primary component of the subject of "noncommutative topol ogy," K -theory has opened vast new vistas within the structure theory of C* algebras, as well as leading to profound and unexpected applications of opera tor algebras to problems in geometry and topology. As a result, many topolo gists and operator algebraists have feverishly begun trying to learn each others' subjects, and it appears certain that these two branches of mathematics have become deeply and permanently intertwined. Despite the fact that the whole subject is only about a decade old, operator K -theory has now reached a state of relative stability. While there will undoubtedly be many more revolutionary developments and applications in the future, it appears the basic theory has more or less reached a "final form." But because of the newness of the theory, there has so far been no comprehensive treatment of the subject. It is the ambitious goal of these notes to fill this gap. We will develop the K -theory of Banach algebras, the theory of extensions of C*-algebras, and the operator K -theory of Kasparov from scratch to its most advanced aspects. We will not treat applications in detail; however, we will outline the most striking of the applications to date in a section at the end, as well as mentioning others at suitable points in the text.

Download or read book Catalog of Copyright Entries Third Series written by Library of Congress. Copyright Office and published by Copyright Office, Library of Congress. This book was released on 1975 with total page 1760 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Law and Macroeconomics written by Yair Listokin and published by Harvard University Press. This book was released on 2019-03-11 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: A distinguished Yale economist and legal scholar’s argument that law, of all things, has the potential to rescue us from the next economic crisis. After the economic crisis of 2008, private-sector spending took nearly a decade to recover. Yair Listokin thinks we can respond more quickly to the next meltdown by reviving and refashioning a policy approach whose proven success is too rarely acknowledged. Harking back to New Deal regulatory agencies, Listokin proposes that we take seriously law’s ability to function as a macroeconomic tool, capable of stimulating demand when needed and relieving demand when it threatens to overheat economies. Listokin makes his case by looking at both positive and cautionary examples, going back to the New Deal and including the Keystone Pipeline, the constitutionally fraught bond-buying program unveiled by the European Central Bank at the nadir of the Eurozone crisis, the ongoing Greek crisis, and the experience of U.S. price controls in the 1970s. History has taught us that law is an unwieldy instrument of macroeconomic policy, but Listokin argues that under certain conditions it offers a vital alternative to the monetary and fiscal policy tools that stretch the legitimacy of technocratic central banks near their breaking point while leaving the rest of us waiting and wallowing.

Download or read book Social Security Benefits for People Living with HIV AIDS written by and published by . This book was released on 1995 with total page 2 pages. Available in PDF, EPUB and Kindle. Book excerpt: