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Author: Isaac Elishakoff
Publisher: John Wiley & Sons
Published: 1983
Total Pages: 512
ISBN-13:
DOWNLOAD EBOOKWell-written introduction covers probability theory from two or more random variables, reliability of such multivariable structures, theory of random function, Monte Carlo methods for problems incapable of exact solution, more.
Author: Isaac E Elishakoff
Publisher: World Scientific
Published: 2017-03-23
Total Pages: 523
ISBN-13: 9813149876
DOWNLOAD EBOOKThe first edition of this book appeared over three decades ago (Wiley-Interscience, 1983), whereas the second one saw light on the verge of new millennium (Dover, 1999). This is third, corrected and expanded edition that appears in conjunction with its companion volume .Thus, the reader is able to both get acquainted with the theoretical material and be able to master some of the problems, following Chinese dictum: I hear and I forget. I see and I remember. I do and I understand — Confucius.The main idea of the book lies in the fact that three topics: probabilistic strength of materials, random vibrations, and probabilistic buckling are presented in a single package allowing one to see the forest in between the trees. Indeed, these three topics usually are presented in separate manners, in different specialized books. Here, the reader gets a feeling of true unity of the subject at large in order to appreciate that in the end what one wants is reliability of the structure, in conjunction with its operating conditions.As the author describes in the Preface of the second edition, this book was not conceived ab initio, as a book that author strived to compose. Rather, it was forced, as it were, upon me due to two reasons. One was rather a surprising but understandable requirement in the venerable Delft University of Technology, The Netherlands to prepare the lecture notes for students with the view of reducing skyrocketing costs of acquisition of textbooks by the students. The other one was an unusually warm acceptance of the notes that the author prepared while at Delft University of Technology and later in Haifa, at the Technion-Israel Institute of Technology by the legendary engineering scientist Warner Tjardus Koiter (1914-1997). The energy necessary to prepare the second and third editions came from enthusiastic reviews that appeared in various sources. Author embraced the simplicity of exposition as the main virtue following Isaac Newton's view that 'Truth is ever to be found in simplicity, and not in the multiplicity and confusion of things.'
Author: Noga Alon
Publisher: John Wiley & Sons
Published: 2015-11-02
Total Pages: 396
ISBN-13: 1119062071
DOWNLOAD EBOOKPraise for the Third Edition “Researchers of any kind of extremal combinatorics or theoretical computer science will welcome the new edition of this book.” - MAA Reviews Maintaining a standard of excellence that establishes The Probabilistic Method as the leading reference on probabilistic methods in combinatorics, the Fourth Edition continues to feature a clear writing style, illustrative examples, and illuminating exercises. The new edition includes numerous updates to reflect the most recent developments and advances in discrete mathematics and the connections to other areas in mathematics, theoretical computer science, and statistical physics. Emphasizing the methodology and techniques that enable problem-solving, The Probabilistic Method, Fourth Edition begins with a description of tools applied to probabilistic arguments, including basic techniques that use expectation and variance as well as the more advanced applications of martingales and correlation inequalities. The authors explore where probabilistic techniques have been applied successfully and also examine topical coverage such as discrepancy and random graphs, circuit complexity, computational geometry, and derandomization of randomized algorithms. Written by two well-known authorities in the field, the Fourth Edition features: Additional exercises throughout with hints and solutions to select problems in an appendix to help readers obtain a deeper understanding of the best methods and techniques New coverage on topics such as the Local Lemma, Six Standard Deviations result in Discrepancy Theory, Property B, and graph limits Updated sections to reflect major developments on the newest topics, discussions of the hypergraph container method, and many new references and improved results The Probabilistic Method, Fourth Edition is an ideal textbook for upper-undergraduate and graduate-level students majoring in mathematics, computer science, operations research, and statistics. The Fourth Edition is also an excellent reference for researchers and combinatorists who use probabilistic methods, discrete mathematics, and number theory. Noga Alon, PhD, is Baumritter Professor of Mathematics and Computer Science at Tel Aviv University. He is a member of the Israel National Academy of Sciences and Academia Europaea. A coeditor of the journal Random Structures and Algorithms, Dr. Alon is the recipient of the Polya Prize, The Gödel Prize, The Israel Prize, and the EMET Prize. Joel H. Spencer, PhD, is Professor of Mathematics and Computer Science at the Courant Institute of New York University. He is the cofounder and coeditor of the journal Random Structures and Algorithms and is a Sloane Foundation Fellow. Dr. Spencer has written more than 200 published articles and is the coauthor of Ramsey Theory, Second Edition, also published by Wiley.
Author: C.R. Sundararajan
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 756
ISBN-13: 1461517710
DOWNLOAD EBOOKThe need for a comprehensive book on probabilistic structural mechanics that brings together the many analytical and computational methods developed over the years and their applications in a wide spectrum of industries-from residential buildings to nuclear power plants, from bridges to pressure vessels, from steel structures to ceramic structures-became evident from the many discussions the editor had with practising engineers, researchers and professors. Because no single individual has the expertise to write a book with such a di.verse scope, a group of 39 authors from universities, research laboratories, and industries from six countries in three continents was invited to write 30 chapters covering the various aspects of probabilistic structural mechanics. The editor and the authors believe that this handbook will serve as a reference text to practicing engineers, teachers, students and researchers. It may also be used as a textbook for graduate-level courses in probabilistic structural mechanics. The editor wishes to thank the chapter authors for their contributions. This handbook would not have been a reality without their collaboration.
Author: Guiliano Augusti
Publisher: CRC Press
Published: 1984-07-19
Total Pages: 586
ISBN-13: 9780412222306
DOWNLOAD EBOOKThis book presents the most important applications of probablistic and statistical approaches and procedures to structural engineering.
Author: Isaac Elishakoff
Publisher: Courier Corporation
Published: 1999-01-01
Total Pages: 532
ISBN-13: 9780486406916
DOWNLOAD EBOOKWell-written introduction covers the elements of the theory of probability from two or more random variables, the reliability of such multivariable structures, the theory of random function, Monte Carlo methods of treating problems incapable of exact solution, and more. No previous knowledge of the subject necessary. Numerous examples, illustrative figures.
Author: Isaac Elishakoff
Publisher: Cambridge University Press
Published: 2001-01-29
Total Pages: 354
ISBN-13: 0521782104
DOWNLOAD EBOOKWhen a structure is put under an increasing compressive load, it becomes unstable and buckling occurs. Buckling is a particularly significant concern in designing shell structures such as aircraft, automobiles, ships, or bridges. This book discusses stability analysis and buckling problems and offers practical tools for dealing with uncertainties that exist in real systems. The techniques are based on two complementary theories which are developed in the text. First, the probabilistic theory of stability is presented, with particular emphasis on reliability. Both theoretical and computational issues are discussed. Secondly, the authors present the alternative to probability based on the notion of 'anti-optimization', a theory that is valid when the necessary information for probabilistic analysis is absent, that is, when only scant data are available. Design engineers, researchers, and graduate students in aerospace, mechanical, marine, and civil engineering who are concerned with issues of structural integrity will find this book a useful reference source.
Author: Isaac E Elishakoff
Publisher: World Scientific Publishing Company
Published: 2017-12-20
Total Pages: 253
ISBN-13: 9813201134
DOWNLOAD EBOOKThe first edition of the combined monograph and textbook Probabilistic Methods in the Theory of Structures was published by Wiley-Interscience in 1983. 1n 1999, Dover Publications, Inc. published its second edition under shorter title Probabilistic Theory of Structures. Now, World Scientific has expanded into a 3rd edition to include Problems with Complete Worked-Through Solutions. This compendium of solutions was written in response to requests by numerous university educators around the world, since it has been adopted as a textbook or an additional reading for both undergraduate and graduate courses.The author hopes that the availability of such solutions manual will further help to establish the courses dealing with probabilistic strength of materials, design, random buckling, and random vibration. The material itself was developed by author for various undergraduate and graduate courses, during years 1972-1989 at the Technion — Israel Institute of Technology, in Haifa, Israel, at the Delft University of Technology in the Netherlands, year 1979/80 at the University of Notre Dame, Indiana, USA and at the Florida Atlantic University, USA since 1994.Already since mid-eighties, the author was informed that the book was adopted in numerous universities worldwide. Besides complete solutions to more than one hundred problems, additional material and remarks are included as Chapter 12, bringing some ideas down to the 'number' level.It is strongly hoped that this manual will promote much wider dissemination of probabilistic methods' courses at universities, and ultimately, in engineering practice worldwide.The 3rd Edition of the textbook, , is available separately.
Author: Michel Habib
Publisher: Springer Science & Business Media
Published: 2013-03-14
Total Pages: 342
ISBN-13: 3662127881
DOWNLOAD EBOOKLeave nothing to chance. This cliche embodies the common belief that ran domness has no place in carefully planned methodologies, every step should be spelled out, each i dotted and each t crossed. In discrete mathematics at least, nothing could be further from the truth. Introducing random choices into algorithms can improve their performance. The application of proba bilistic tools has led to the resolution of combinatorial problems which had resisted attack for decades. The chapters in this volume explore and celebrate this fact. Our intention was to bring together, for the first time, accessible discus sions of the disparate ways in which probabilistic ideas are enriching discrete mathematics. These discussions are aimed at mathematicians with a good combinatorial background but require only a passing acquaintance with the basic definitions in probability (e.g. expected value, conditional probability). A reader who already has a firm grasp on the area will be interested in the original research, novel syntheses, and discussions of ongoing developments scattered throughout the book. Some of the most convincing demonstrations of the power of these tech niques are randomized algorithms for estimating quantities which are hard to compute exactly. One example is the randomized algorithm of Dyer, Frieze and Kannan for estimating the volume of a polyhedron. To illustrate these techniques, we consider a simple related problem. Suppose S is some region of the unit square defined by a system of polynomial inequalities: Pi (x. y) ~ o.
Author: Walter O. Wunderlich
Publisher: Amer Society of Civil Engineers
Published: 2005
Total Pages: 646
ISBN-13: 9780784406724
DOWNLOAD EBOOKWalter Wunderlich introduces readers to the field of probability theory and its applications in engineering.
