Download or read book Philosophical Foundations of Science written by Raymond J. Seeger and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt: At the 1969 annual meeting of the American Association for the Ad vancement ofScience, held in Boston on December 27-29, a sequence of symposia on the philosophical foundations of science was organized jointly by Section L of the Association and the Boston Colloquium for the Philosophy of Science. Section L is devoted to the history, philos ophy, logic and sociology of science, with broad connotations extended both to 'science' and to 'philosophy'. With collaboration generously extended by other and more specialized Sections of the AAAS, the Section L program took an unusually rich range of topics, and indeed the audiences were large, and the discussions lively. This book, regrettably delayed in publication, contains the major papers from those symposia of 1969. In addition, it contains the distin guished George Sarton Memorial Lecture of that meeting, 'Boltzmann, Monocycles and Mechanical Explanation' by Martin J. Klein. Some additions and omissions should be noted: In Part 1, dedicated to the 450th anniversary of the birth of Leonardo da Vinci, we have been una bie to include a contrihution by Elmer Belt who was prevented by storms from participating. In Part II, on physics and the explanation of life, we were unable to persuade Isaac Asimov to overcome his modesty about the historical remarks he made under the title 'Arrhenius Revisited'.

Download or read book Combinatoire enumerative written by Gilbert Labelle and published by Springer. This book was released on 2006-11-12 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Graphs and Questionnaires written by and published by Elsevier. This book was released on 1980-01-01 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graphs and Questionnaires

Download or read book Analysis and Design of Algorithms for Combinatorial Problems written by G. Ausiello and published by Elsevier. This book was released on 1985-05-01 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combinatorial problems have been from the very beginning part of the history of mathematics. By the Sixties, the main classes of combinatorial problems had been defined. During that decade, a great number of research contributions in graph theory had been produced, which laid the foundations for most of the research in graph optimization in the following years. During the Seventies, a large number of special purpose models were developed. The impressive growth of this field since has been strongly determined by the demand of applications and influenced by the technological increases in computing power and the availability of data and software. The availability of such basic tools has led to the feasibility of the exact or well approximate solution of large scale realistic combinatorial optimization problems and has created a number of new combinatorial problems.

Download or read book The Rise and Fall of the German Combinatorial Analysis written by Eduardo Noble and published by Springer Nature. This book was released on 2022-05-30 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text presents the ideas of a particular group of mathematicians of the late 18th century known as “the German combinatorial school” and its influence. The book tackles several questions concerning the emergence and historical development of the German combinatorial analysis, which was the unfinished scientific research project of that group of mathematicians. The historical survey covers the three main episodes in the evolution of that research project: its theoretical antecedents (which go back to the innovative ideas on mathematical analysis of the late 17th century) and first formulation, its consolidation as a foundationalist project of mathematical analysis, and its dissolution at the beginning of the 19th century. In addition, the book analyzes the influence of the ideas of the combinatorial school on German mathematics throughout the 19th century.

Download or read book Philosophical Foundations of Science written by American Association for the Advancement of Science. Section on History and Philosophy of Science and published by . This book was released on 1974 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Applications of Number Theory to Numerical Analysis written by S. K. Zaremba and published by Academic Press. This book was released on 2014-05-10 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applications of Number Theory to Numerical Analysis contains the proceedings of the Symposium on Applications of Number Theory to Numerical Analysis, held in Quebec, Canada, on September 9-14, 1971, under the sponsorship of the University of Montreal's Center for Research in Mathematics. The symposium provided a forum for discussing number theory and its applications to numerical analysis, tackling topics ranging from methods used in estimating discrepancy to the structure of linear congruential sequences. Comprised of 17 chapters, this book begins by considering some combinatorial problems studied experimentally on computing machines. The discussion then turns to experiments on optimal coefficients; a distribution problem in finite sets; and the statistical interdependence of pseudo-random numbers generated by the linear congruential method. Subsequent chapters deal with lattice structure and reduced bases of random vectors generated by linear recurrences; modulo optimization problems and integer linear programming; equivalent forms of zero-one programs; and number theoretic foundations of finite precision arithmetic. This monograph will be of interest to students and practitioners in the field of applied mathematics.

Download or read book Combinatory Analysis written by Percy A. MacMahon and published by Courier Corporation. This book was released on 2004-07-06 with total page 770 pages. Available in PDF, EPUB and Kindle. Book excerpt: Account of combinatory analysis theorems shows their connections and unites them as parts of a general doctrine. Topics include symmetric functions, theory of number compositions, more. 1915, 1916, and 1920 editions.

Download or read book Combinatorics on Words written by M. Lothaire and published by Cambridge University Press. This book was released on 1997-05-29 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combinatorics on words, or finite sequences, is a field which grew simultaneously within disparate branches of mathematics such as group theory and probability. It has grown into an independent theory finding substantial applications in computer science automata theory and liguistics. This volume is the first to present a thorough treatment of this theory. All of the main results and techniques are covered. The presentation is accessible to undergraduate and graduate level students in mathematics and computer science as well as to specialists in all branches of applied mathematics.

Download or read book Systematic Glossary of the Terminology of Statistical Methods written by I. Paenson and published by Elsevier. This book was released on 2014-06-28 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: Systematic Glossary of the Terminology of Statistical Methods

Download or read book Classical Mathematics from Al Khwarizmi to Descartes written by Roshdi Rashed and published by Routledge. This book was released on 2014-08-21 with total page 621 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book follows the development of classical mathematics and the relation between work done in the Arab and Islamic worlds and that undertaken by the likes of Descartes and Fermat. ‘Early modern,’ mathematics is a term widely used to refer to the mathematics which developed in the West during the sixteenth and seventeenth century. For many historians and philosophers this is the watershed which marks a radical departure from ‘classical mathematics,’ to more modern mathematics; heralding the arrival of algebra, geometrical algebra, and the mathematics of the continuous. In this book, Roshdi Rashed demonstrates that ‘early modern,’ mathematics is actually far more composite than previously assumed, with each branch having different traceable origins which span the millennium. Going back to the beginning of these parts, the aim of this book is to identify the concepts and practices of key figures in their development, thereby presenting a fuller reality of these mathematics. This book will be of interest to students and scholars specialising in Islamic science and mathematics, as well as to those with an interest in the more general history of science and mathematics and the transmission of ideas and culture.

Download or read book Combinatory Analysis written by Percy Alexander MacMahon and published by . This book was released on 1916 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Rods Sets and Arrows written by Dirk De Bock and published by Springer Nature. This book was released on 2019-12-10 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: For anyone interested in the history and effects of the introduction of so-called “Modern Mathematics” (or “Mathématique Moderne,” or “New Mathematics,” etc.) this book, by Dirk De Bock and Geert Vanpaemel, is essential reading. The two authors are experienced and highly qualified Belgian scholars and the book looks carefully at events relating to school mathematics for the period from the end of World War II to 2010. Initially the book focuses on events which helped to define the modern mathematics revolution in Belgium before and during the 1960s. The book does much more than that, however, for it traces the influence of these events on national and international debates during the early phases of the reform. By providing readers with translations into English of relevant sections of key Continental documents outlining the major ideas of leading Continental scholars who contributed to the “Mathématique Moderne” movement, this book makes available to a wide readership, the theoretical, social, and political backdrops of Continental new mathematics reforms. In particular, the book focuses on the contributions made by Belgians such as Paul Libois, Willy Servais, Frédérique Lenger, and Georges Papy. The influence of modern mathematics fell away rapidly in the 1970s, however, and the authors trace the rise and fall, from that time into the 21st century, of a number of other approaches to school mathematics—in Belgium, in other Western European nations, and in North America. In summary, this is an outstanding, landmark publication displaying the fruits of deep scholarship and careful research based on extensive analyses of primary sources.

Download or read book A Course on Integration Theory written by Nicolas Lerner and published by Springer. This book was released on 2014-07-09 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a detailed treatment of abstract integration theory, construction of the Lebesgue measure via the Riesz-Markov Theorem and also via the Carathéodory Theorem. It also includes some elementary properties of Hausdorff measures as well as the basic properties of spaces of integrable functions and standard theorems on integrals depending on a parameter. Integration on a product space, change of variables formulas as well as the construction and study of classical Cantor sets are treated in detail. Classical convolution inequalities, such as Young's inequality and Hardy-Littlewood-Sobolev inequality are proven. The Radon-Nikodym theorem, notions of harmonic analysis, classical inequalities and interpolation theorems, including Marcinkiewicz's theorem, the definition of Lebesgue points and Lebesgue differentiation theorem are further topics included. A detailed appendix provides the reader with various elements of elementary mathematics, such as a discussion around the calculation of antiderivatives or the Gamma function. The appendix also provides more advanced material such as some basic properties of cardinals and ordinals which are useful in the study of measurability.​

Download or read book A B written by Marko Petkovsek and published by CRC Press. This book was released on 1996-01-01 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is of interest to mathematicians and computer scientists working in finite mathematics and combinatorics. It presents a breakthrough method for analyzing complex summations. Beautifully written, the book contains practical applications as well as conceptual developments that will have applications in other areas of mathematics. From the table of contents: * Proof Machines * Tightening the Target * The Hypergeometric Database * The Five Basic Algorithms: Sister Celine's Method, Gosper&'s Algorithm, Zeilberger's Algorithm, The WZ Phenomenon, Algorithm Hyper * Epilogue: An Operator Algebra Viewpoint * The WWW Sites and the Software (Maple and Mathematica) Each chapter contains an introduction to the subject and ends with a set of exercises.

Download or read book Analytic Combinatorics written by Philippe Flajolet and published by Cambridge University Press. This book was released on 2009-01-15 with total page 825 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analytic combinatorics aims to enable precise quantitative predictions of the properties of large combinatorial structures. The theory has emerged over recent decades as essential both for the analysis of algorithms and for the study of scientific models in many disciplines, including probability theory, statistical physics, computational biology, and information theory. With a careful combination of symbolic enumeration methods and complex analysis, drawing heavily on generating functions, results of sweeping generality emerge that can be applied in particular to fundamental structures such as permutations, sequences, strings, walks, paths, trees, graphs and maps. This account is the definitive treatment of the topic. The authors give full coverage of the underlying mathematics and a thorough treatment of both classical and modern applications of the theory. The text is complemented with exercises, examples, appendices and notes to aid understanding. The book can be used for an advanced undergraduate or a graduate course, or for self-study.

Download or read book Studies on Gersonides written by Gad Freudenthal and published by BRILL. This book was released on 2023-11-27 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: R. Levi ben Gershom (Gersonides, 1288-1344) is one of the greatest and most original figures of Medieval Jewish thought. He wrote numerous works in philosophy, science and biblical exegesis. Some of his scientific works, most notably his highly innovative Astronomy, were translated from Hebrew into Latin and could thus reach non-Jewish scholars. The twelve studies collected in this bilingual volume (English and French in equal parts) offer for the first time a comprehensive overview and assessment of Gersonides' work in astronomy, mathematics, logic, natural science, and psychology. Gersonides' contributions are analyzed within the context of contemporary philosophy and science in Hebrew, Arabic, and Latin. New light is also shed on the reception of Gersonides' work within European science. The volume includes a very extensive bibliography of writings by and about Gersonides. From the contents: Part I: Gersonides' Astronomy: Bernard R. Goldstein, José Luis Mancha, José Chabas, Henri Hugonnard-Roche, Guy Beaujouan. Part II: Gersonides' Work in Mathematics: Tony Lévy, Karine Chemla, Serge Pahaut. Part III: Gersonides' Science in Its Relations to His Philosophy and Theology: Herbert A. Davidson, Tzvi Y. Langermann, Charles H. Manekin, Amos Funkenstein, Gad Freudenthal.