Ulam

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Adventures of a Mathematician

Author : S. M. Ulam
Publisher : Univ of California Press
ISBN 13 : 9780520910553
Total Pages : 400 pages
Book Rating : 4.9/5 (15 download)

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Book Synopsis Adventures of a Mathematician by : S. M. Ulam

Download or read book Adventures of a Mathematician written by S. M. Ulam and published by Univ of California Press. This book was released on 1991 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: The true story that inspired the 2020 film. The autobiography of mathematician Stanislaw Ulam, one of the great scientific minds of the twentieth century, tells a story rich with amazingly prophetic speculations and peppered with lively anecdotes. As a member of the Los Alamos National Laboratory from 1944 on, Ulam helped to precipitate some of the most dramatic changes of the postwar world. He was among the first to use and advocate computers for scientific research, originated ideas for the nuclear propulsion of space vehicles, and made fundamental contributions to many of today's most challenging mathematical projects. With his wide-ranging interests, Ulam never emphasized the importance of his contributions to the research that resulted in the hydrogen bomb. Now Daniel Hirsch and William Mathews reveal the true story of Ulam's pivotal role in the making of the "Super," in their historical introduction to this behind-the-scenes look at the minds and ideas that ushered in the nuclear age. An epilogue by Françoise Ulam and Jan Mycielski sheds new light on Ulam's character and mathematical originality.

Ulam Type Stability

Author : Janusz Brzdęk
Publisher : Springer Nature
ISBN 13 : 3030289729
Total Pages : 514 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Ulam Type Stability by : Janusz Brzdęk

Download or read book Ulam Type Stability written by Janusz Brzdęk and published by Springer Nature. This book was released on 2019-10-29 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an outcome of two Conferences on Ulam Type Stability (CUTS) organized in 2016 (July 4-9, Cluj-Napoca, Romania) and in 2018 (October 8-13, 2018, Timisoara, Romania). It presents up-to-date insightful perspective and very resent research results on Ulam type stability of various classes of linear and nonlinear operators; in particular on the stability of many functional equations in a single and several variables (also in the lattice environments, Orlicz spaces, quasi-b-Banach spaces, and 2-Banach spaces) and some orthogonality relations (e.g., of Birkhoff–James). A variety of approaches are presented, but a particular emphasis is given to that of fixed points, with some new fixed point results and their applications provided. Besides these several other topics are considered that are somehow related to the Ulam stability such as: invariant means, geometry of Banach function modules, queueing systems, semi-inner products and parapreseminorms, subdominant eigenvalue location of a bordered diagonal matrix and optimal forward contract design for inventory. New directions and several open problems regarding stability and non-stability concepts are included. Ideal for use as a reference or in a seminar, this book is aimed toward graduate students, scientists and engineers working in functional equations, difference equations, operator theory, functional analysis, approximation theory, optimization theory, and fixed point theory who wish to be introduced to a wide spectrum of relevant theories, methods and applications leading to interdisciplinary research. It advances the possibilities for future research through an extensive bibliography and a large spectrum of techniques, methods and applications.

Ulam’s Conjecture on Invariance of Measure in the Hilbert Cube

Author : Soon-Mo Jung
Publisher : Springer Nature
ISBN 13 : 3031308867
Total Pages : 196 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis Ulam’s Conjecture on Invariance of Measure in the Hilbert Cube by : Soon-Mo Jung

Download or read book Ulam’s Conjecture on Invariance of Measure in the Hilbert Cube written by Soon-Mo Jung and published by Springer Nature. This book was released on 2023-06-28 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the process by which Ulam's conjecture is proved, aptly detailing how mathematical problems may be solved by systematically combining interdisciplinary theories. It presents the state-of-the-art of various research topics and methodologies in mathematics, and mathematical analysis by presenting the latest research in emerging research areas, providing motivation for further studies. The book also explores the theory of extending the domain of local isometries by introducing a generalized span. For the reader, working knowledge of topology, linear algebra, and Hilbert space theory, is essential. The basic theories of these fields are gently and logically introduced. The content of each chapter provides the necessary building blocks to understanding the proof of Ulam’s conjecture and are summarized as follows: Chapter 1 presents the basic concepts and theorems of general topology. In Chapter 2, essential concepts and theorems in vector space, normed space, Banach space, inner product space, and Hilbert space, are introduced. Chapter 3 gives a presentation on the basics of measure theory. In Chapter 4, the properties of first- and second-order generalized spans are defined, examined, and applied to the study of the extension of isometries. Chapter 5 includes a summary of published literature on Ulam’s conjecture; the conjecture is fully proved in Chapter 6.

Ulam Stability of Operators

Author : Janusz Brzdek
Publisher : Academic Press
ISBN 13 : 0128098309
Total Pages : 238 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Ulam Stability of Operators by : Janusz Brzdek

Download or read book Ulam Stability of Operators written by Janusz Brzdek and published by Academic Press. This book was released on 2018-01-10 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ulam Stability of Operators presents a modern, unified, and systematic approach to the field. Focusing on the stability of functional equations across single variable, difference equations, differential equations, and integral equations, the book collects, compares, unifies, complements, generalizes, and updates key results. Whenever suitable, open problems are stated in corresponding areas. The book is of interest to researchers in operator theory, difference and functional equations and inequalities, differential and integral equations. Allows readers to establish expert knowledge without extensive study of other books Presents complex math in simple and clear language Compares, generalizes and complements key findings Provides numerous open problems

Using the Borsuk-Ulam Theorem

Author : Jiri Matousek
Publisher : Springer Science & Business Media
ISBN 13 : 3540766499
Total Pages : 221 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Using the Borsuk-Ulam Theorem by : Jiri Matousek

Download or read book Using the Borsuk-Ulam Theorem written by Jiri Matousek and published by Springer Science & Business Media. This book was released on 2008-01-12 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: To the uninitiated, algebraic topology might seem fiendishly complex, but its utility is beyond doubt. This brilliant exposition goes back to basics to explain how the subject has been used to further our understanding in some key areas. A number of important results in combinatorics, discrete geometry, and theoretical computer science have been proved using algebraic topology. While the results are quite famous, their proofs are not so widely understood. This book is the first textbook treatment of a significant part of these results. It focuses on so-called equivariant methods, based on the Borsuk-Ulam theorem and its generalizations. The topological tools are intentionally kept on a very elementary level. No prior knowledge of algebraic topology is assumed, only a background in undergraduate mathematics, and the required topological notions and results are gradually explained.

The Bolsheviks

Author : Adam Bruno ULAM
Publisher : Harvard University Press
ISBN 13 : 0674044533
Total Pages : 629 pages
Book Rating : 4.6/5 (74 download)

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Book Synopsis The Bolsheviks by : Adam Bruno ULAM

Download or read book The Bolsheviks written by Adam Bruno ULAM and published by Harvard University Press. This book was released on 2009-06-30 with total page 629 pages. Available in PDF, EPUB and Kindle. Book excerpt: The rise of the Bolsheviks is an epic Russian story that now has a definitive end. The major historian of the subject, Adam Ulam, has enlarged his classic work with a new Preface that puts the revolutionary moment, and especially Lenin, in perspective for our modern age.

The Gene Wars

Author : Robert M. Cook-Deegan
Publisher : W. W. Norton & Company
ISBN 13 : 9780393313994
Total Pages : 420 pages
Book Rating : 4.3/5 (139 download)

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Book Synopsis The Gene Wars by : Robert M. Cook-Deegan

Download or read book The Gene Wars written by Robert M. Cook-Deegan and published by W. W. Norton & Company. This book was released on 1994 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cook-Deegan, a former director of the Biomedical Ethics Advisory Committee of the US Congress and an advisor to the National Center for Human Genome Research, gives a firsthand account of the struggle to launch the Human Genome Project. Using primary documents and interviews, Cook-Deegan explains scientific details, chronicles the origins of the project, covers the conflicts and partnerships between the organizations involved, and examines ethical, legal, and social issues of DNA research. Includes bandw photos. Annotation copyright by Book News, Inc., Portland, OR

Statistical Properties of Deterministic Systems

Author : Jiu Ding
Publisher : Springer Science & Business Media
ISBN 13 : 3540853677
Total Pages : 248 pages
Book Rating : 4.5/5 (48 download)

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Book Synopsis Statistical Properties of Deterministic Systems by : Jiu Ding

Download or read book Statistical Properties of Deterministic Systems written by Jiu Ding and published by Springer Science & Business Media. This book was released on 2010-06-28 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Part of Tsinghua University Texts, "Statistical Properties of Deterministic Systems" discusses the fundamental theory and computational methods of the statistical properties of deterministic discrete dynamical systems. After introducing some basic results from ergodic theory, two problems related to the dynamical system are studied: first the existence of absolute continuous invariant measures, and then their computation. They correspond to the functional analysis and numerical analysis of the Frobenius-Perron operator associated with the dynamical system. The book can be used as a text for graduate students in applied mathematics and in computational mathematics; it can also serve as a reference book for researchers in the physical sciences, life sciences, and engineering. Dr. Jiu Ding is a professor at the Department of Mathematics of the University of Southern Mississippi; Dr. Aihui Zhou is a professor at the Academy of Mathematics and Systems Science of the Chinese Academy of Sciences.

Hyers-Ulam-Rassias Stability of Functional Equations in Mathematical Analysis

Author : Soon-Mo Jung
Publisher :
ISBN 13 :
Total Pages : 282 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Hyers-Ulam-Rassias Stability of Functional Equations in Mathematical Analysis by : Soon-Mo Jung

Download or read book Hyers-Ulam-Rassias Stability of Functional Equations in Mathematical Analysis written by Soon-Mo Jung and published by . This book was released on 2001 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Hyers-Ulam Stability of Ordinary Differential Equations

Author : Arun Kumar Tripathy
Publisher : CRC Press
ISBN 13 : 1000386902
Total Pages : 114 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Hyers-Ulam Stability of Ordinary Differential Equations by : Arun Kumar Tripathy

Download or read book Hyers-Ulam Stability of Ordinary Differential Equations written by Arun Kumar Tripathy and published by CRC Press. This book was released on 2021-05-24 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hyers-Ulam Stability of Ordinary Differential Equations undertakes an interdisciplinary, integrative overview of a kind of stability problem unlike the existing so called stability problem for Differential equations and Difference Equations. In 1940, S. M. Ulam posed the problem: When can we assert that approximate solution of a functional equation can be approximated by a solution of the corresponding equation before the audience at the University of Wisconsin which was first answered by D. H. Hyers on Banach space in 1941. Thereafter, T. Aoki, D. H. Bourgin and Th. M. Rassias improved the result of Hyers. After that many researchers have extended the Ulam's stability problems to other functional equations and generalized Hyer's result in various directions. Last three decades, this topic is very well known as Hyers-Ulam Stability or sometimes it is referred Hyers-Ulam-Rassias Stability. This book synthesizes interdisciplinary theory, definitions and examples of Ordinary Differential and Difference Equations dealing with stability problems. The purpose of this book is to display the new kind of stability problem to global audience and accessible to a broader interdisciplinary readership for e.g those are working in Mathematical Biology Modeling, bending beam problems of mechanical engineering also, some kind of models in population dynamics. This book may be a starting point for those associated in such research and covers the methods needed to explore the analysis. Features: The state-of-art is pure analysis with background functional analysis. A rich, unique synthesis of interdisciplinary findings and insights on resources. As we understand that the real world problem is heavily involved with Differential and Difference equations, the cited problems of this book may be useful in a greater sense as long as application point of view of this Hyers-Ulam Stability theory is concerned. Information presented in an accessible way for students, researchers, scientists and engineers.

Frontiers in Functional Equations and Analytic Inequalities

Author : George A. Anastassiou
Publisher : Springer Nature
ISBN 13 : 3030289508
Total Pages : 746 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Frontiers in Functional Equations and Analytic Inequalities by : George A. Anastassiou

Download or read book Frontiers in Functional Equations and Analytic Inequalities written by George A. Anastassiou and published by Springer Nature. This book was released on 2019-11-23 with total page 746 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents cutting edge research from the frontiers of functional equations and analytic inequalities active fields. It covers the subject of functional equations in a broad sense, including but not limited to the following topics: Hyperstability of a linear functional equation on restricted domains Hyers–Ulam’s stability results to a three point boundary value problem of nonlinear fractional order differential equations Topological degree theory and Ulam’s stability analysis of a boundary value problem of fractional differential equations General Solution and Hyers-Ulam Stability of Duo Trigintic Functional Equation in Multi-Banach Spaces Stabilities of Functional Equations via Fixed Point Technique Measure zero stability problem for the Drygas functional equation with complex involution Fourier Transforms and Ulam Stabilities of Linear Differential Equations Hyers–Ulam stability of a discrete diamond–alpha derivative equation Approximate solutions of an interesting new mixed type additive-quadratic-quartic functional equation. The diverse selection of inequalities covered includes Opial, Hilbert-Pachpatte, Ostrowski, comparison of means, Poincare, Sobolev, Landau, Polya-Ostrowski, Hardy, Hermite-Hadamard, Levinson, and complex Korovkin type. The inequalities are also in the environments of Fractional Calculus and Conformable Fractional Calculus. Applications from this book's results can be found in many areas of pure and applied mathematics, especially in ordinary and partial differential equations and fractional differential equations. As such, this volume is suitable for researchers, graduate students and related seminars, and all science and engineering libraries. The exhibited thirty six chapters are self-contained and can be read independently and interesting advanced seminars can be given out of this book.

Stability of Mappings of Hyers-Ulam Type

Author : Themistocles M. Rassias
Publisher :
ISBN 13 :
Total Pages : 190 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Stability of Mappings of Hyers-Ulam Type by : Themistocles M. Rassias

Download or read book Stability of Mappings of Hyers-Ulam Type written by Themistocles M. Rassias and published by . This book was released on 1994 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Fermi-Pasta-Ulam Problem

Author : Giovanni Gallavotti
Publisher : Springer
ISBN 13 : 354072995X
Total Pages : 304 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis The Fermi-Pasta-Ulam Problem by : Giovanni Gallavotti

Download or read book The Fermi-Pasta-Ulam Problem written by Giovanni Gallavotti and published by Springer. This book was released on 2007-11-28 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume reviews the current understanding of the Fermi-Pasta-Ulam (FPU) Problem without trying to force coherence on differing perspectives on the same problem by various groups or approaches. The contributions lead the interested but inexperienced reader through gradual understanding, starting from general analysis and proceeding towards more specialized topics. The volume also includes a reprint of the original Fermi-Pasta-Ulam paper.

The Scottish Book

Author : R. Daniel Mauldin
Publisher : Birkhäuser
ISBN 13 : 3319228978
Total Pages : 333 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis The Scottish Book by : R. Daniel Mauldin

Download or read book The Scottish Book written by R. Daniel Mauldin and published by Birkhäuser. This book was released on 2015-11-26 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition of this book updates and expands upon a historically important collection of mathematical problems first published in the United States by Birkhäuser in 1981. These problems serve as a record of the informal discussions held by a group of mathematicians at the Scottish Café in Lwów, Poland, between the two world wars. Many of them were leaders in the development of such areas as functional and real analysis, group theory, measure and set theory, probability, and topology. Finding solutions to the problems they proposed has been ongoing since World War II, with prizes offered in many cases to those who are successful. In the 35 years since the first edition published, several more problems have been fully or partially solved, but even today many still remain unsolved and several prizes remain unclaimed. In view of this, the editor has gathered new and updated commentaries on the original 193 problems. Some problems are solved for the first time in this edition. Included again in full are transcripts of lectures given by Stanislaw Ulam, Mark Kac, Antoni Zygmund, Paul Erdös, and Andrzej Granas that provide amazing insights into the mathematical environment of Lwów before World War II and the development of The Scottish Book. Also new in this edition are a brief history of the University of Wrocław’s New Scottish Book, created to revive the tradition of the original, and some selected problems from it. The Scottish Book offers a unique opportunity to communicate with the people and ideas of a time and place that had an enormous influence on the development of mathematics and try their hand on the unsolved problems. Anyone in the general mathematical community with an interest in the history of modern mathematics will find this to be an insightful and fascinating read.

Stanislaw Ulam 1909-1984

Author :
Publisher :
ISBN 13 :
Total Pages : 326 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Stanislaw Ulam 1909-1984 by :

Download or read book Stanislaw Ulam 1909-1984 written by and published by . This book was released on 1987 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Ulam Problem of Optimal Motion of Line Segments

Author : V. A. Dubovit︠s︡kiĭ
Publisher : Springer
ISBN 13 :
Total Pages : 136 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis The Ulam Problem of Optimal Motion of Line Segments by : V. A. Dubovit︠s︡kiĭ

Download or read book The Ulam Problem of Optimal Motion of Line Segments written by V. A. Dubovit︠s︡kiĭ and published by Springer. This book was released on 1985 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematics and Logic

Author : Mark Kac
Publisher : Courier Corporation
ISBN 13 : 0486670856
Total Pages : 189 pages
Book Rating : 4.4/5 (866 download)

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Book Synopsis Mathematics and Logic by : Mark Kac

Download or read book Mathematics and Logic written by Mark Kac and published by Courier Corporation. This book was released on 1992-01-01 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fascinating study of the origin and nature of mathematical thought, including relation of mathematics and science, 20th-century developments, impact of computers, and more.Includes 34 illustrations. 1968 edition."