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Princeton Lectures
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Book Synopsis Princeton Lectures by : Princeton University
Download or read book Princeton Lectures written by Princeton University and published by . This book was released on 1920 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Complex Analysis by : Elias M. Stein
Download or read book Complex Analysis written by Elias M. Stein and published by Princeton University Press. This book was released on 2010-04-22 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: With this second volume, we enter the intriguing world of complex analysis. From the first theorems on, the elegance and sweep of the results is evident. The starting point is the simple idea of extending a function initially given for real values of the argument to one that is defined when the argument is complex. From there, one proceeds to the main properties of holomorphic functions, whose proofs are generally short and quite illuminating: the Cauchy theorems, residues, analytic continuation, the argument principle. With this background, the reader is ready to learn a wealth of additional material connecting the subject with other areas of mathematics: the Fourier transform treated by contour integration, the zeta function and the prime number theorem, and an introduction to elliptic functions culminating in their application to combinatorics and number theory. Thoroughly developing a subject with many ramifications, while striking a careful balance between conceptual insights and the technical underpinnings of rigorous analysis, Complex Analysis will be welcomed by students of mathematics, physics, engineering and other sciences. The Princeton Lectures in Analysis represents a sustained effort to introduce the core areas of mathematical analysis while also illustrating the organic unity between them. Numerous examples and applications throughout its four planned volumes, of which Complex Analysis is the second, highlight the far-reaching consequences of certain ideas in analysis to other fields of mathematics and a variety of sciences. Stein and Shakarchi move from an introduction addressing Fourier series and integrals to in-depth considerations of complex analysis; measure and integration theory, and Hilbert spaces; and, finally, further topics such as functional analysis, distributions and elements of probability theory.
Book Synopsis Neoclassical Finance by : Stephen A. Ross
Download or read book Neoclassical Finance written by Stephen A. Ross and published by Princeton University Press. This book was released on 2009-04-11 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neoclassical Finance provides a concise and powerful account of the underlying principles of modern finance, drawing on a generation of theoretical and empirical advances in the field. Stephen Ross developed the no arbitrage principle, tying asset pricing to the simple proposition that there are no free lunches in financial markets, and jointly with John Cox he developed the related concept of risk-neutral pricing. In this book Ross makes a strong case that these concepts are the fundamental pillars of modern finance and, in particular, of market efficiency. In an efficient market prices reflect the information possessed by the market and, as a consequence, trading schemes using commonly available information to beat the market are doomed to fail. By stark contrast, the currently popular stance offered by behavioral finance, fueled by a number of apparent anomalies in the financial markets, regards market prices as subject to the psychological whims of investors. But without any appeal to psychology, Ross shows that neoclassical theory provides a simple and rich explanation that resolves many of the anomalies on which behavioral finance has been fixated. Based on the inaugural Princeton Lectures in Finance, sponsored by the Bendheim Center for Finance of Princeton University, this elegant book represents a major contribution to the ongoing debate on market efficiency, and serves as a useful primer on the fundamentals of finance for both scholars and practitioners.
Book Synopsis Functional Analysis by : Elias M. Stein
Download or read book Functional Analysis written by Elias M. Stein and published by Princeton University Press. This book was released on 2011-09-11 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book covers such topics as Lp ̂spaces, distributions, Baire category, probability theory and Brownian motion, several complex variables and oscillatory integrals in Fourier analysis. The authors focus on key results in each area, highlighting their importance and the organic unity of the subject"--Provided by publisher.
Book Synopsis Kurt Gödel by : Maria Hämeen-Anttila
Download or read book Kurt Gödel written by Maria Hämeen-Anttila and published by Springer Nature. This book was released on 2021-12-15 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt: Paris of the year 1900 left two landmarks: the Tour Eiffel, and David Hilbert's celebrated list of twenty-four mathematical problems presented at a conference opening the new century. Kurt Gödel, a logical icon of that time, showed Hilbert's ideal of complete axiomatization of mathematics to be unattainable. The result, of 1931, is called Gödel's incompleteness theorem. Gödel then went on to attack Hilbert's first and second Paris problems, namely Cantor's continuum problem about the type of infinity of the real numbers, and the freedom from contradiction of the theory of real numbers. By 1963, it became clear that Hilbert's first question could not be answered by any known means, half of the credit of this seeming faux pas going to Gödel. The second is a problem still wide open. Gödel worked on it for years, with no definitive results; The best he could offer was a start with the arithmetic of the entire numbers. This book, Gödel's lectures at the famous Princeton Institute for Advanced Study in 1941, shows how far he had come with Hilbert's second problem, namely to a theory of computable functionals of finite type and a proof of the consistency of ordinary arithmetic. It offers indispensable reading for logicians, mathematicians, and computer scientists interested in foundational questions. It will form a basis for further investigations into Gödel's vast Nachlass of unpublished notes on how to extend the results of his lectures to the theory of real numbers. The book also gives insights into the conceptual and formal work that is needed for the solution of profound scientific questions, by one of the central figures of 20th century science and philosophy.
Book Synopsis Machine Learning in Asset Pricing by : Stefan Nagel
Download or read book Machine Learning in Asset Pricing written by Stefan Nagel and published by Princeton University Press. This book was released on 2021-05-11 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: A groundbreaking, authoritative introduction to how machine learning can be applied to asset pricing Investors in financial markets are faced with an abundance of potentially value-relevant information from a wide variety of different sources. In such data-rich, high-dimensional environments, techniques from the rapidly advancing field of machine learning (ML) are well-suited for solving prediction problems. Accordingly, ML methods are quickly becoming part of the toolkit in asset pricing research and quantitative investing. In this book, Stefan Nagel examines the promises and challenges of ML applications in asset pricing. Asset pricing problems are substantially different from the settings for which ML tools were developed originally. To realize the potential of ML methods, they must be adapted for the specific conditions in asset pricing applications. Economic considerations, such as portfolio optimization, absence of near arbitrage, and investor learning can guide the selection and modification of ML tools. Beginning with a brief survey of basic supervised ML methods, Nagel then discusses the application of these techniques in empirical research in asset pricing and shows how they promise to advance the theoretical modeling of financial markets. Machine Learning in Asset Pricing presents the exciting possibilities of using cutting-edge methods in research on financial asset valuation.
Book Synopsis Lectures on Dostoevsky by : Joseph Frank
Download or read book Lectures on Dostoevsky written by Joseph Frank and published by Princeton University Press. This book was released on 2019-12-17 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: Poor Folk -- The Double -- The House of the Dead -- Notes from Underground -- Crime and Punishment -- The Idiot -- The Brothers Karamazov -- Appendix I: Selected Film Adaptations of Dostoevsky's Novels -- Appendix II: "Joseph Frank's Dostoevsky" by David Foster Wallace.
Book Synopsis The Purpose of Power by : Alicia Garza
Download or read book The Purpose of Power written by Alicia Garza and published by One World. This book was released on 2020-10-20 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: An essential guide to building transformative movements to address the challenges of our time, from one of the country’s leading organizers and a co-creator of Black Lives Matter “Excellent and provocative . . . a gateway [to] urgent debates.”—Keeanga-Yamahtta Taylor, The New Yorker NAMED ONE OF THE BEST BOOK OF THE YEAR BY Time • Marie Claire • Kirkus Reviews In 2013, Alicia Garza wrote what she called “a love letter to Black people” on Facebook, in the aftermath of the acquittal of the man who murdered seventeen-year-old Trayvon Martin. Garza wrote: Black people. I love you. I love us. Our lives matter. With the speed and networking capacities of social media, #BlackLivesMatter became the hashtag heard ’round the world. But Garza knew even then that hashtags don’t start movements—people do. Long before #BlackLivesMatter became a rallying cry for this generation, Garza had spent the better part of two decades learning and unlearning some hard lessons about organizing. The lessons she offers are different from the “rules for radicals” that animated earlier generations of activists, and diverge from the charismatic, patriarchal model of the American civil rights movement. She reflects instead on how making room amongst the woke for those who are still awakening can inspire and activate more people to fight for the world we all deserve. This is the story of one woman’s lessons through years of bringing people together to create change. Most of all, it is a new paradigm for change for a new generation of changemakers, from the mind and heart behind one of the most important movements of our time.
Book Synopsis Lectures on Shakespeare by : W. H. Auden
Download or read book Lectures on Shakespeare written by W. H. Auden and published by Princeton University Press. This book was released on 2019-10-08 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lecture notes from Alan Ansen, later Auden's secretary and friend, from Auden's course taught during 1946-1947 at the New School for Social Research form the basis for this work on Auden's interpretation of all of the Shakespeare's plays.
Book Synopsis Vital and Health Statistics by : National Center for Health Statistics (U.S.)
Download or read book Vital and Health Statistics written by National Center for Health Statistics (U.S.) and published by . This book was released on 1963 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Real Analysis written by Elias M. Stein and published by Princeton University Press. This book was released on 2009-11-28 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: Real Analysis is the third volume in the Princeton Lectures in Analysis, a series of four textbooks that aim to present, in an integrated manner, the core areas of analysis. Here the focus is on the development of measure and integration theory, differentiation and integration, Hilbert spaces, and Hausdorff measure and fractals. This book reflects the objective of the series as a whole: to make plain the organic unity that exists between the various parts of the subject, and to illustrate the wide applicability of ideas of analysis to other fields of mathematics and science. After setting forth the basic facts of measure theory, Lebesgue integration, and differentiation on Euclidian spaces, the authors move to the elements of Hilbert space, via the L2 theory. They next present basic illustrations of these concepts from Fourier analysis, partial differential equations, and complex analysis. The final part of the book introduces the reader to the fascinating subject of fractional-dimensional sets, including Hausdorff measure, self-replicating sets, space-filling curves, and Besicovitch sets. Each chapter has a series of exercises, from the relatively easy to the more complex, that are tied directly to the text. A substantial number of hints encourage the reader to take on even the more challenging exercises. As with the other volumes in the series, Real Analysis is accessible to students interested in such diverse disciplines as mathematics, physics, engineering, and finance, at both the undergraduate and graduate levels. Also available, the first two volumes in the Princeton Lectures in Analysis:
Download or read book The Atlas of AI written by Kate Crawford and published by Yale University Press. This book was released on 2021-04-06 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: The hidden costs of artificial intelligence, from natural resources and labor to privacy and freedom What happens when artificial intelligence saturates political life and depletes the planet? How is AI shaping our understanding of ourselves and our societies? In this book Kate Crawford reveals how this planetary network is fueling a shift toward undemocratic governance and increased inequality. Drawing on more than a decade of research, award-winning science, and technology, Crawford reveals how AI is a technology of extraction: from the energy and minerals needed to build and sustain its infrastructure, to the exploited workers behind "automated" services, to the data AI collects from us. Rather than taking a narrow focus on code and algorithms, Crawford offers us a political and a material perspective on what it takes to make artificial intelligence and where it goes wrong. While technical systems present a veneer of objectivity, they are always systems of power. This is an urgent account of what is at stake as technology companies use artificial intelligence to reshape the world.
Book Synopsis Investors and Markets by : William F. Sharpe
Download or read book Investors and Markets written by William F. Sharpe and published by Princeton University Press. This book was released on 2008-07 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Nobel Prize-winning financial economist William Sharpe shows that investment professionals cannot make good portfolio choices unless they understand the determinants of asset prices." -- Provided by publisher.
Book Synopsis Fourier Analysis by : Elias M. Stein
Download or read book Fourier Analysis written by Elias M. Stein and published by Princeton University Press. This book was released on 2011-02-11 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: This first volume, a three-part introduction to the subject, is intended for students with a beginning knowledge of mathematical analysis who are motivated to discover the ideas that shape Fourier analysis. It begins with the simple conviction that Fourier arrived at in the early nineteenth century when studying problems in the physical sciences--that an arbitrary function can be written as an infinite sum of the most basic trigonometric functions. The first part implements this idea in terms of notions of convergence and summability of Fourier series, while highlighting applications such as the isoperimetric inequality and equidistribution. The second part deals with the Fourier transform and its applications to classical partial differential equations and the Radon transform; a clear introduction to the subject serves to avoid technical difficulties. The book closes with Fourier theory for finite abelian groups, which is applied to prime numbers in arithmetic progression. In organizing their exposition, the authors have carefully balanced an emphasis on key conceptual insights against the need to provide the technical underpinnings of rigorous analysis. Students of mathematics, physics, engineering and other sciences will find the theory and applications covered in this volume to be of real interest. The Princeton Lectures in Analysis represents a sustained effort to introduce the core areas of mathematical analysis while also illustrating the organic unity between them. Numerous examples and applications throughout its four planned volumes, of which Fourier Analysis is the first, highlight the far-reaching consequences of certain ideas in analysis to other fields of mathematics and a variety of sciences. Stein and Shakarchi move from an introduction addressing Fourier series and integrals to in-depth considerations of complex analysis; measure and integration theory, and Hilbert spaces; and, finally, further topics such as functional analysis, distributions and elements of probability theory.
Download or read book Biophysics written by William Bialek and published by Princeton University Press. This book was released on 2012-12-17 with total page 653 pages. Available in PDF, EPUB and Kindle. Book excerpt: A physicist's guide to the phenomena of life Interactions between the fields of physics and biology reach back over a century, and some of the most significant developments in biology—from the discovery of DNA's structure to imaging of the human brain—have involved collaboration across this disciplinary boundary. For a new generation of physicists, the phenomena of life pose exciting challenges to physics itself, and biophysics has emerged as an important subfield of this discipline. Here, William Bialek provides the first graduate-level introduction to biophysics aimed at physics students. Bialek begins by exploring how photon counting in vision offers important lessons about the opportunities for quantitative, physics-style experiments on diverse biological phenomena. He draws from these lessons three general physical principles—the importance of noise, the need to understand the extraordinary performance of living systems without appealing to finely tuned parameters, and the critical role of the representation and flow of information in the business of life. Bialek then applies these principles to a broad range of phenomena, including the control of gene expression, perception and memory, protein folding, the mechanics of the inner ear, the dynamics of biochemical reactions, and pattern formation in developing embryos. Featuring numerous problems and exercises throughout, Biophysics emphasizes the unifying power of abstract physical principles to motivate new and novel experiments on biological systems. Covers a range of biological phenomena from the physicist's perspective Features 200 problems Draws on statistical mechanics, quantum mechanics, and related mathematical concepts Includes an annotated bibliography and detailed appendixes
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 752 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.
Book Synopsis Paris-Princeton Lectures on Mathematical Finance 2002 by : Peter Bank
Download or read book Paris-Princeton Lectures on Mathematical Finance 2002 written by Peter Bank and published by Springer. This book was released on 2003-12-10 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Paris-Princeton Lectures in Financial Mathematics, of which this is the first volume, will, on an annual basis, publish cutting-edge research in self-contained, expository articles from outstanding - established or upcoming! - specialists. The aim is to produce a series of articles that can serve as an introductory reference for research in the field. It arises as a result of frequent exchanges between the finance and financial mathematics groups in Paris and Princeton. The present volume sets standards with articles by P. Bank/H. Föllmer, F. Baudoin, L.C.G. Rogers, and M. Soner/N. Touzi.