The Moment Problem

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The Moment Problem

Author : Konrad Schmüdgen
Publisher : Springer
ISBN 13 : 3319645463
Total Pages : 530 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis The Moment Problem by : Konrad Schmüdgen

Download or read book The Moment Problem written by Konrad Schmüdgen and published by Springer. This book was released on 2017-11-09 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: This advanced textbook provides a comprehensive and unified account of the moment problem. It covers the classical one-dimensional theory and its multidimensional generalization, including modern methods and recent developments. In both the one-dimensional and multidimensional cases, the full and truncated moment problems are carefully treated separately. Fundamental concepts, results and methods are developed in detail and accompanied by numerous examples and exercises. Particular attention is given to powerful modern techniques such as real algebraic geometry and Hilbert space operators. A wide range of important aspects are covered, including the Nevanlinna parametrization for indeterminate moment problems, canonical and principal measures for truncated moment problems, the interplay between Positivstellensätze and moment problems on semi-algebraic sets, the fibre theorem, multidimensional determinacy theory, operator-theoretic approaches, and the existence theory and important special topics of multidimensional truncated moment problems. The Moment Problem will be particularly useful to graduate students and researchers working on moment problems, functional analysis, complex analysis, harmonic analysis, real algebraic geometry, polynomial optimization, or systems theory. With notes providing useful background information and exercises of varying difficulty illustrating the theory, this book will also serve as a reference on the subject and can be used for self-study.

Problema Momentov Markova i Ekstremalnye Zada?i

Author : Mark Grigorʹevich Kreĭn
Publisher : American Mathematical Soc.
ISBN 13 : 9780821886717
Total Pages : 430 pages
Book Rating : 4.8/5 (867 download)

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Book Synopsis Problema Momentov Markova i Ekstremalnye Zada?i by : Mark Grigorʹevich Kreĭn

Download or read book Problema Momentov Markova i Ekstremalnye Zada?i written by Mark Grigorʹevich Kreĭn and published by American Mathematical Soc.. This book was released on with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, an extensive circle of questions originating in the classical work of P. L. Chebyshev and A. A. Markov is considered from the more modern point of view. It is shown how results and methods of the generalized moment problem are interlaced with various questions of the geometry of convex bodies, algebra, and function theory. From this standpoint, the structure of convex and conical hulls of curves is studied in detail and isoperimetric inequalities for convex hulls are established; a theory of orthogonal and quasiorthogonal polynomials is constructed; problems on limiting values of integrals and on least deviating functions (in various metrics) are generalized and solved; problems in approximation theory and interpolation and extrapolation in various function classes (analytic, absolutely monotone, almost periodic, etc.) are solved, as well as certain problems in optimal control of linear objects.

The Problem of Moments

Author : James Alexander Shohat
Publisher : American Mathematical Soc.
ISBN 13 : 0821815016
Total Pages : 160 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Problem of Moments by : James Alexander Shohat

Download or read book The Problem of Moments written by James Alexander Shohat and published by American Mathematical Soc.. This book was released on 1943-12-31 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book was first published in 1943 and then was reprinted several times with corrections. It presents the development of the classical problem of moments for the first 50 years, after its introduction by Stieltjes in the 1890s. In addition to initial developments by Stieltjes, Markov, and Chebyshev, later contributions by Hamburger, Nevanlinna, Hausdorff, Stone, and others are discussed. The book also contains some results on the trigonometric moment problem and a chapter devoted to approximate quadrature formulas.

Moments, Positive Polynomials and Their Applications

Author : Jean-Bernard Lasserre
Publisher : World Scientific
ISBN 13 : 1848164467
Total Pages : 384 pages
Book Rating : 4.8/5 (481 download)

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Book Synopsis Moments, Positive Polynomials and Their Applications by : Jean-Bernard Lasserre

Download or read book Moments, Positive Polynomials and Their Applications written by Jean-Bernard Lasserre and published by World Scientific. This book was released on 2010 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. The generalized moment problem. 1.1. Formulations. 1.2. Duality theory. 1.3. Computational complexity. 1.4. Summary. 1.5. Exercises. 1.6. Notes and sources -- 2. Positive polynomials. 2.1. Sum of squares representations and semi-definite optimization. 2.2. Nonnegative versus s.o.s. polynomials. 2.3. Representation theorems : univariate case. 2.4. Representation theorems : mutivariate case. 2.5. Polynomials positive on a compact basic semi-algebraic set. 2.6. Polynomials nonnegative on real varieties. 2.7. Representations with sparsity properties. 2.8. Representation of convex polynomials. 2.9. Summary. 2.10. Exercises. 2.11. Notes and sources -- 3. Moments. 3.1. The one-dimensional moment problem. 3.2. The multi-dimensional moment problem. 3.3. The K-moment problem. 3.4. Moment conditions for bounded density. 3.5. Summary. 3.6. Exercises. 3.7. Notes and sources -- 4. Algorithms for moment problems. 4.1. The overall approach. 4.2. Semidefinite relaxations. 4.3. Extraction of solutions. 4.4. Linear relaxations. 4.5. Extensions. 4.6. Exploiting sparsity. 4.7. Summary. 4.8. Exercises. 4.9. Notes and sources. 4.10. Proofs -- 5. Global optimization over polynomials. 5.1. The primal and dual perspectives. 5.2. Unconstrained polynomial optimization. 5.3. Constrained polynomial optimization : semidefinite relaxations. 5.4. Linear programming relaxations. 5.5. Global optimality conditions. 5.6. Convex polynomial programs. 5.7. Discrete optimization. 5.8. Global minimization of a rational function. 5.9. Exploiting symmetry. 5.10. Summary. 5.11. Exercises. 5.12. Notes and sources -- 6. Systems of polynomial equations. 6.1. Introduction. 6.2. Finding a real solution to systems of polynomial equations. 6.3. Finding all complex and/or all real solutions : a unified treatment. 6.4. Summary. 6.5. Exercises. 6.6. Notes and sources -- 7. Applications in probability. 7.1. Upper bounds on measures with moment conditions. 7.2. Measuring basic semi-algebraic sets. 7.3. Measures with given marginals. 7.4. Summary. 7.5. Exercises. 7.6. Notes and sources -- 8. Markov chains applications. 8.1. Bounds on invariant measures. 8.2. Evaluation of ergodic criteria. 8.3. Summary. 8.4. Exercises. 8.5. Notes and sources -- 9. Application in mathematical finance. 9.1. Option pricing with moment information. 9.2. Option pricing with a dynamic model. 9.3. Summary. 9.4. Notes and sources -- 10. Application in control. 10.1. Introduction. 10.2. Weak formulation of optimal control problems. 10.3. Semidefinite relaxations for the OCP. 10.4. Summary. 10.5. Notes and sources -- 11. Convex envelope and representation of convex sets. 11.1. The convex envelope of a rational function. 11.2. Semidefinite representation of convex sets. 11.3. Algebraic certificates of convexity. 11.4. Summary. 11.5. Exercises. 11.6. Notes and sources -- 12. Multivariate integration 12.1. Integration of a rational function. 12.2. Integration of exponentials of polynomials. 12.3. Maximum entropy estimation. 12.4. Summary. 12.5. Exercises. 12.6. Notes and sources -- 13. Min-max problems and Nash equilibria. 13.1. Robust polynomial optimization. 13.2. Minimizing the sup of finitely many rational cunctions. 13.3. Application to Nash equilibria. 13.4. Exercises. 13.5. Notes and sources -- 14. Bounds on linear PDE. 14.1. Linear partial differential equations. 14.2. Notes and sources

The Moment of Clarity

Author : Christian Madsbjerg
Publisher : Harvard Business Review Press
ISBN 13 : 1422191907
Total Pages : 224 pages
Book Rating : 4.4/5 (221 download)

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Book Synopsis The Moment of Clarity by : Christian Madsbjerg

Download or read book The Moment of Clarity written by Christian Madsbjerg and published by Harvard Business Review Press. This book was released on 2014-02-11 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: Businesses need a new type of problem solving. Why? Because they are getting people wrong. Traditional problem-solving methods taught in business schools serve us well for some of the everyday challenges of business, but they tend to be ineffective with problems involving a high degree of uncertainty. Why? Because, more often than not, these tools are based on a flawed model of human behavior. And that flawed model is the invisible scaffolding that supports our surveys, our focus groups, our R&D, and much of our long-term strategic planning. In The Moment of Clarity, Christian Madsbjerg and Mikkel Rasmussen examine the business world’s assumptions about human behavior and show how these assumptions can lead businesses off track. But the authors chart a way forward. Using theories and tools from the human sciences—anthropology, sociology, philosophy, and psychology—The Moment of Clarity introduces a practical framework called sensemaking. Sensemaking’s nonlinear problem-solving approach gives executives a better way to understand business challenges involving shifts in human behavior. This new methodology, a fundamentally different way to think about strategy, is already taking off in Fortune 100 companies around the world. Through compelling case studies and their direct experience with LEGO, Samsung, Adidas, Coloplast, and Intel, Madsbjerg and Rasmussen will show you how to solve problems as diverse as setting company direction, driving growth, improving sales models, understanding the real culture of your organization, and finding your way in new markets. Over and over again, executives say the same thing after engaging in a process of sensemaking: “Now I see it . . .” This experience—the moment of clarity—has the potential to drive the entire strategic future of your company. Isn’t it time you and your firm started getting people right? Learn more about the innovation and strategy work of ReD Associates at: redassociates.com

Positive Polynomials and Sums of Squares

Author : Murray Marshall
Publisher : American Mathematical Soc.
ISBN 13 : 0821844024
Total Pages : 201 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Positive Polynomials and Sums of Squares by : Murray Marshall

Download or read book Positive Polynomials and Sums of Squares written by Murray Marshall and published by American Mathematical Soc.. This book was released on 2008 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of positive polynomials brings together algebra, geometry and analysis. The subject is of fundamental importance in real algebraic geometry when studying the properties of objects defined by polynomial inequalities. Hilbert's 17th problem and its solution in the first half of the 20th century were landmarks in the early days of the subject. More recently, new connections to the moment problem and to polynomial optimization have been discovered. The moment problem relates linear maps on the multidimensional polynomial ring to positive Borel measures. This book provides an elementary introduction to positive polynomials and sums of squares, the relationship to the moment problem, and the application to polynomial optimization. The focus is on the exciting new developments that have taken place in the last 15 years, arising out of Schmudgen's solution to the moment problem in the compact case in 1991. The book is accessible to a well-motivated student at the beginning graduate level. The objects being dealt with are concrete and down-to-earth, namely polynomials in $n$ variables with real coefficients, and many examples are included. Proofs are presented as clearly and as simply as possible. Various new, simpler proofs appear in the book for the first time. Abstraction is employed only when it serves a useful purpose, but, at the same time, enough abstraction is included to allow the reader easy access to the literature. The book should be essential reading for any beginning student in the area.

Moment Theory and Some Inverse Problems in Potential Theory and Heat Conduction

Author : Rudolf Gorenflo
Publisher : Springer Science & Business Media
ISBN 13 : 9783540440062
Total Pages : 1812 pages
Book Rating : 4.4/5 (4 download)

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Book Synopsis Moment Theory and Some Inverse Problems in Potential Theory and Heat Conduction by : Rudolf Gorenflo

Download or read book Moment Theory and Some Inverse Problems in Potential Theory and Heat Conduction written by Rudolf Gorenflo and published by Springer Science & Business Media. This book was released on 2002 with total page 1812 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Some Questions in the Theory of Moments

Author : Mark Grigorʹevich Kreĭn
Publisher : American Mathematical Soc.
ISBN 13 : 9780821886403
Total Pages : 282 pages
Book Rating : 4.8/5 (864 download)

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Book Synopsis Some Questions in the Theory of Moments by : Mark Grigorʹevich Kreĭn

Download or read book Some Questions in the Theory of Moments written by Mark Grigorʹevich Kreĭn and published by American Mathematical Soc.. This book was released on 1968 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Flat Extensions of Positive Moment Matrices: Recursively Generated Relations

Author : Raúl E. Curto
Publisher : American Mathematical Soc.
ISBN 13 : 0821808699
Total Pages : 73 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Flat Extensions of Positive Moment Matrices: Recursively Generated Relations by : Raúl E. Curto

Download or read book Flat Extensions of Positive Moment Matrices: Recursively Generated Relations written by Raúl E. Curto and published by American Mathematical Soc.. This book was released on 1998 with total page 73 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, the authors develop new computational tests for existence and uniqueness of representing measures $\mu$ in the Truncated Complex Moment Problem: $\gamma {ij}=\int \bar zizj\, d\mu$ $(0\le i+j\le 2n)$. Conditions for the existence of finitely atomic representing measures are expressed in terms of positivity and extension properties of the moment matrix $M(n)(\gamma )$ associated with $\gamma \equiv \gamma {(2n)}$: $\gamma {00}, \dots ,\gamma {0,2n},\dots ,\gamma {2n,0}$, $\gamma {00}>0$. This study includes new conditions for flat (i.e., rank-preserving) extensions $M(n+1)$ of $M(n)\ge 0$; each such extension corresponds to a distinct rank $M(n)$-atomic representing measure, and each such measure is minimal among representing measures in terms of the cardinality of its support. For a natural class of moment matrices satisfying the tests of recursive generation, recursive consistency, and normal consistency, the existence problem for minimal representing measures is reduced to the solubility of small systems of multivariable algebraic equations. In a variety of applications, including cases of the quartic moment problem ($n=2$), the text includes explicit contructions of minimal representing measures via the theory of flat extensions. Additional computational texts are used to prove non-existence of representing measures or the non-existence of minimal representing measures. These tests are used to illustrate, in very concrete terms, new phenomena, associated with higher-dimensional moment problems that do not appear in the classical one-dimensional moment problem.

The Moment of Lift

Author : Melinda Gates
Publisher : Flatiron Books
ISBN 13 : 1250313562
Total Pages : 224 pages
Book Rating : 4.2/5 (53 download)

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Book Synopsis The Moment of Lift by : Melinda Gates

Download or read book The Moment of Lift written by Melinda Gates and published by Flatiron Books. This book was released on 2019-04-23 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: NEW YORK TIMES BESTSELLER “In her book, Melinda tells the stories of the inspiring people she’s met through her work all over the world, digs into the data, and powerfully illustrates issues that need our attention—from child marriage to gender inequity in the workplace.” — President Barack Obama “The Moment of Lift is an urgent call to courage. It changed how I think about myself, my family, my work, and what’s possible in the world. Melinda weaves together vulnerable, brave storytelling and compelling data to make this one of those rare books that you carry in your heart and mind long after the last page.” — Brené Brown, Ph.D., author of the New York Times #1 bestseller Dare to Lead “Melinda Gates has spent many years working with women around the world. This book is an urgent manifesto for an equal society where women are valued and recognized in all spheres of life. Most of all, it is a call for unity, inclusion and connection. We need this message more than ever.” — Malala Yousafzai "Melinda Gates's book is a lesson in listening. A powerful, poignant, and ultimately humble call to arms." — Tara Westover, author of the New York Times #1 bestseller Educated A debut from Melinda Gates, a timely and necessary call to action for women's empowerment. “How can we summon a moment of lift for human beings – and especially for women? Because when you lift up women, you lift up humanity.” For the last twenty years, Melinda Gates has been on a mission to find solutions for people with the most urgent needs, wherever they live. Throughout this journey, one thing has become increasingly clear to her: If you want to lift a society up, you need to stop keeping women down. In this moving and compelling book, Melinda shares lessons she’s learned from the inspiring people she’s met during her work and travels around the world. As she writes in the introduction, “That is why I had to write this book—to share the stories of people who have given focus and urgency to my life. I want all of us to see ways we can lift women up where we live.” Melinda’s unforgettable narrative is backed by startling data as she presents the issues that most need our attention—from child marriage to lack of access to contraceptives to gender inequity in the workplace. And, for the first time, she writes about her personal life and the road to equality in her own marriage. Throughout, she shows how there has never been more opportunity to change the world—and ourselves. Writing with emotion, candor, and grace, she introduces us to remarkable women and shows the power of connecting with one another. When we lift others up, they lift us up, too.

Matrices, Moments and Quadrature with Applications

Author : Gene H. Golub
Publisher : Princeton University Press
ISBN 13 : 1400833884
Total Pages : 376 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Matrices, Moments and Quadrature with Applications by : Gene H. Golub

Download or read book Matrices, Moments and Quadrature with Applications written by Gene H. Golub and published by Princeton University Press. This book was released on 2009-12-07 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This computationally oriented book describes and explains the mathematical relationships among matrices, moments, orthogonal polynomials, quadrature rules, and the Lanczos and conjugate gradient algorithms. The book bridges different mathematical areas to obtain algorithms to estimate bilinear forms involving two vectors and a function of the matrix. The first part of the book provides the necessary mathematical background and explains the theory. The second part describes the applications and gives numerical examples of the algorithms and techniques developed in the first part. Applications addressed in the book include computing elements of functions of matrices; obtaining estimates of the error norm in iterative methods for solving linear systems and computing parameters in least squares and total least squares; and solving ill-posed problems using Tikhonov regularization. This book will interest researchers in numerical linear algebra and matrix computations, as well as scientists and engineers working on problems involving computation of bilinear forms.

Moments in Mathematics

Author : Henry J. Landau
Publisher : American Mathematical Soc.
ISBN 13 : 9780821801147
Total Pages : 170 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Moments in Mathematics by : Henry J. Landau

Download or read book Moments in Mathematics written by Henry J. Landau and published by American Mathematical Soc.. This book was released on 1987 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: Function theory, spectral decomposition of operators, probability, approximation, electrical and mechanical inverse problems, prediction of stochastic processes, the design of algorithms for signal-processing VLSI chips--these are among a host of important theoretical and applied topics illuminated by the classical moment problem. To survey some of these ramifications and the research which derives from them, the AMS sponsored the Short Course Moments in Mathematics at the Joint Mathematics Meetings, held in San Antonio, Texas, in January 1987. This volume contains the six lectures presented during that course. The papers are likely to find a wide audience, for they are expository, but nevertheless lead the reader to topics of current research. In his paper, Henry J. Landau sketches the main ideas of past work related to the moment problem by such mathematicians as Caratheodory, Herglotz, Schur, Riesz, and Krein and describes the way the moment problem has interconnected so many diverse areas of research. J. H. B. Kemperman examines the moment problem from a geometric viewpoint which involves a certain natural duality method and leads to interesting applications in linear programming, measure theory, and dilations. Donald Sarason first provides a brief review of the theory of unbounded self-adjoint operators then goes on to sketch the operator-theoretic treatment of the Hamburger problem and to discuss Hankel operators, the Adamjan-Arov-Krein approach, and the theory of unitary dilations. Exploring the interplay of trigonometric moment problems and signal processing, Thomas Kailath describes the role of Szego polynomials in linear predictive coding methods, parallel implementation, one-dimensional inverse scattering problems, and the Toeplitz moment matrices. Christian Berg contrasts the multi-dimensional moment problem with the one-dimensional theory and shows how the theory of the moment problem may be viewed as part of harmonic analysis on semigroups. Starting from a historical survey of the use of moments in probability and statistics, Persi Diaconis illustrates the continuing vitality of these methods in a variety of recent novel problems drawn from such areas as Wiener-Ito integrals, random graphs and matrices, Gibbs ensembles, cumulants and self-similar processes, projections of high-dimensional data, and empirical estimation.

Polarization and Moment Tensors

Author : Habib Ammari
Publisher : Springer Science & Business Media
ISBN 13 : 0387715665
Total Pages : 320 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Polarization and Moment Tensors by : Habib Ammari

Download or read book Polarization and Moment Tensors written by Habib Ammari and published by Springer Science & Business Media. This book was released on 2007-06-16 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents important recent developments in mathematical and computational methods used in impedance imaging and the theory of composite materials. By augmenting the theory with interesting practical examples and numerical illustrations, the exposition brings simplicity to the advanced material. An introductory chapter covers the necessary basics. An extensive bibliography and open problems at the end of each chapter enhance the text.

The Moment of Proof

Author : Donald C. Benson
Publisher : Oxford University Press, USA
ISBN 13 : 9780195139198
Total Pages : 346 pages
Book Rating : 4.1/5 (391 download)

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Book Synopsis The Moment of Proof by : Donald C. Benson

Download or read book The Moment of Proof written by Donald C. Benson and published by Oxford University Press, USA. This book was released on 2000 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: A brilliant introduction to the pleasures of mathematical thinking, this book attempts to convey to general readers the feeling of eureka--the joy of discovery--that mathematicians feel when they first encounter an elegant truth. 92 line illustrations.

Moments of Impact

Author : Chris Ertel
Publisher : Simon and Schuster
ISBN 13 : 1451697694
Total Pages : 272 pages
Book Rating : 4.4/5 (516 download)

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Book Synopsis Moments of Impact by : Chris Ertel

Download or read book Moments of Impact written by Chris Ertel and published by Simon and Schuster. This book was released on 2014-02-11 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Moments of Impact is a book on a mission: to eradicate time-sucking, energy-depleting workshops and meetings. In our fast-changing world, organizations have important challenges and opportunities to address—and no time to waste. Moments of Impact delivers the single most useful resource for managers and leaders who need better strategic conversation—now—to shape the future of their organizations. Moments of Impact is an essential guide for ambitious leaders who get assigned the hardest and most vexing strategic issues in their organizations, for entrepreneurs trying to manage board expectations, for social change agents pioneering new business models for community impact, for hopeful educators and healthcare practitioners trying to transform slow-to-change industries, and for enterprising students committed to tackling global challenges. Drawing on decades of combined experience as innovation strategists, Ertel and Solomon articulate the purpose, principles, and practices of well-designed strategic conversations. They weave together a lively and compelling mix of social science theories and research, interviews with more than 100 thought leaders, organization leaders, and practitioners, as well as dozens of anecdotes and practical cases from diverse organizations. The book also includes a sixty-page Starter Kit with diagnostic questions, best practices, tips and suggestions, and recommended readings to enable you to put the ideas to work immediately.

The Moment You Can't Ignore

Author : Malachi O'Connor
Publisher : PublicAffairs
ISBN 13 : 1610394666
Total Pages : 289 pages
Book Rating : 4.6/5 (13 download)

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Book Synopsis The Moment You Can't Ignore by : Malachi O'Connor

Download or read book The Moment You Can't Ignore written by Malachi O'Connor and published by PublicAffairs. This book was released on 2014-10-07 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: Not just another day at the office or is it? -The surgical technician ducks as a stapler flies past his head during the concluding moments of a lengthy and difficult operation. -The high-powered, internationally known finance guru seeks to turn fortunes around at the university of which he is now president and finds himself a leader without followers. -The powerful satraps silently sabotage the CEO's desperately needed growth initiative. These are "moments that cannot be ignored" -- events, actions, comments that stop people in their tracks and, in one fell swoop, make it blindingly clear that an organization is stuck and unable to move forward. And they have become regular occurrences in today's corporations, non-profits, and educational institutions as new forms of work, communication, and technology expose the ways in which an organization's culture -- or "the way we do things around here" -- conflicts with new competitive demands. The result: telling incidents -- all too visible elephants in the room -- that reveal underlying conflicts as well as hidden assets. In The Moment You Can't Ignore, Malachi O'Connor and Barry Dornfeld tell fascinating "you are there" stories of people and organizations as they encounter and then navigate through and beyond these un-ignorable moments, and show what we can learn from them. They outline the big questions organizations need to ask themselves about identity, leadership, and the capacity to innovate that an understanding of culture can help answer, and deliver powerful insights into recognizing and harnessing hidden assets that point in the direction of a new future. In our age of porous organizations and constant change, The Moment You Can't Ignore demonstrates that the adage, "culture eats strategy for lunch," is more relevant now than ever.

Galois Theory Through Exercises

Author : Juliusz Brzeziński
Publisher : Springer
ISBN 13 : 331972326X
Total Pages : 296 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Galois Theory Through Exercises by : Juliusz Brzeziński

Download or read book Galois Theory Through Exercises written by Juliusz Brzeziński and published by Springer. This book was released on 2018-03-21 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook offers a unique introduction to classical Galois theory through many concrete examples and exercises of varying difficulty (including computer-assisted exercises). In addition to covering standard material, the book explores topics related to classical problems such as Galois’ theorem on solvable groups of polynomial equations of prime degrees, Nagell's proof of non-solvability by radicals of quintic equations, Tschirnhausen's transformations, lunes of Hippocrates, and Galois' resolvents. Topics related to open conjectures are also discussed, including exercises related to the inverse Galois problem and cyclotomic fields. The author presents proofs of theorems, historical comments and useful references alongside the exercises, providing readers with a well-rounded introduction to the subject and a gateway to further reading. A valuable reference and a rich source of exercises with sample solutions, this book will be useful to both students and lecturers. Its original concept makes it particularly suitable for self-study.