Download or read book Mathematical Constants II written by Steven R. Finch and published by Cambridge University Press. This book was released on 2003 with total page 783 pages. Available in PDF, EPUB and Kindle. Book excerpt: Famous mathematical constants include the ratio of circular circumference to diameter, π = 3.14 ..., and the natural logarithm base, e = 2.718 .... Students and professionals can often name a few others, but there are many more buried in the literature and awaiting discovery. How do such constants arise, and why are they important? Here the author renews the search he began in his book Mathematical Constants, adding another 133 essays that broaden the landscape. Topics include the minimality of soap film surfaces, prime numbers, elliptic curves and modular forms, Poisson-Voronoi tessellations, random triangles, Brownian motion, uncertainty inequalities, Prandtl-Blasius flow (from fluid dynamics), Lyapunov exponents, knots and tangles, continued fractions, Galton-Watson trees, electrical capacitance (from potential theory), Zermelo's navigation problem, and the optimal control of a pendulum. Unsolved problems appear virtually everywhere as well. This volume continues an outstanding scholarly attempt to bring together all significant mathematical constants in one place.

Download or read book LATIN 2002 Theoretical Informatics written by Sergio Rajsbaum and published by Springer Science & Business Media. This book was released on 2002 with total page 643 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 5th International Symposium, Latin American Theoretical Informatics, LATIN 2002, held in Cancun, Mexico, in April 2002. The 44 revised full papers presented together with a tutorial and 7 abstracts of invited contributions were carefully reviewed and selected from a total of 104 submissions. The papers presented are devoted to a broad range of topics from theoretical computer science and mathematical foundations, with a certain focus on algorithmics and computations related to discrete structures.

Download or read book Recent Trends in Combinatorics written by Andrew Beveridge and published by Springer. This book was released on 2016-04-12 with total page 775 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents some of the research topics discussed at the 2014-2015 Annual Thematic Program Discrete Structures: Analysis and Applications at the Institute for Mathematics and its Applications during Fall 2014, when combinatorics was the focus. Leading experts have written surveys of research problems, making state of the art results more conveniently and widely available. The three-part structure of the volume reflects the three workshops held during Fall 2014. In the first part, topics on extremal and probabilistic combinatorics are presented; part two focuses on additive and analytic combinatorics; and part three presents topics in geometric and enumerative combinatorics. This book will be of use to those who research combinatorics directly or apply combinatorial methods to other fields.

Download or read book Computational Discrete Mathematics written by Helmut Alt and published by Springer. This book was released on 2003-06-30 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on a graduate education program on computational discrete mathematics run for several years in Berlin, Germany, as a joint effort of theoretical computer scientists and mathematicians in order to support doctoral students and advanced ongoing education in the field of discrete mathematics and algorithmics. The 12 selected lectures by leading researchers presented in this book provide recent research results and advanced topics in a coherent and consolidated way. Among the areas covered are combinatorics, graph theory, coding theory, discrete and computational geometry, optimization, and algorithmic aspects of algebra.

Download or read book Gibbs Measures and Phase Transitions written by Hans-Otto Georgii and published by Walter de Gruyter. This book was released on 2011-05-31 with total page 561 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book is much more than an introduction to the subject of its title. It covers in depth a broad range of topics in the mathematical theory of phase transition in statistical mechanics and as an up to date reference in its chosen topics it is a work of outstanding scholarship. It is in fact one of the author's stated aims that this comprehensive monograph should serve both as an introductory text and as a reference for the expert. In its latter function it informs the reader about the state of the art in several directions. It is introductory in the sense that it does not assume any prior knowledge of statistical mechanics and is accessible to a general readership of mathematicians with a basic knowledge of measure theory and probability. As such it should contribute considerably to the further growth of the already lively interest in statistical mechanics on the part of probabilists and other mathematicians." Fredos Papangelou, Zentralblatt MATH The second edition has been extended by a new section on large deviations and some comments on the more recent developments in the area.

Download or read book Approximation of Nonlinear Evolution Systems written by Jerome and published by Academic Press. This book was released on 1983-04-22 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approximation of Nonlinear Evolution Systems

Download or read book Phase Transitions and Hysteresis written by Augusto Visintin and published by Springer. This book was released on 2006-11-15 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1) Phase Transitions, represented by generalizations of the classical Stefan problem. This is studied by Kenmochi and Rodrigues by means of variational techniques. 2) Hysteresis Phenomena. Some alloys exhibit shape memory effects, corresponding to a stress-strain relation which strongly depends on temperature; mathematical physical aspects are treated in Müller's paper. In a general framework, hysteresis can be described by means of hysteresis operators in Banach spaces of time dependent functions; their properties are studied by Brokate. 3) Numerical analysis. Several models of the phenomena above can be formulated in terms of nonlinear parabolic equations. Here Verdi deals with the most updated approximation techniques.

Download or read book Probability and Phase Transition written by G.R. Grimmett and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume describes the current state of knowledge of random spatial processes, particularly those arising in physics. The emphasis is on survey articles which describe areas of current interest to probabilists and physicists working on the probability theory of phase transition. Special attention is given to topics deserving further research. The principal contributions by leading researchers concern the mathematical theory of random walk, interacting particle systems, percolation, Ising and Potts models, spin glasses, cellular automata, quantum spin systems, and metastability. The level of presentation and review is particularly suitable for postgraduate and postdoctoral workers in mathematics and physics, and for advanced specialists in the probability theory of spatial disorder and phase transition.

Download or read book Encyclopaedia of Mathematics written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 639 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second supplementary volume to Kluwer's highly acclaimed eleven-volume Encyclopaedia of Mathematics. This additional volume contains nearly 500 new entries written by experts and covers developments and topics not included in the previous volumes. These entries are arranged alphabetically throughout and a detailed index is included. This supplementary volume enhances the existing eleven volumes, and together these twelve volumes represent the most authoritative, comprehensive and up-to-date Encyclopaedia of Mathematics available.

Download or read book Discrete Causal Theory written by Benjamin F. Dribus and published by Springer. This book was released on 2017-04-26 with total page 577 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book evaluates and suggests potentially critical improvements to causal set theory, one of the best-motivated approaches to the outstanding problems of fundamental physics. Spacetime structure is of central importance to physics beyond general relativity and the standard model. The causal metric hypothesis treats causal relations as the basis of this structure. The book develops the consequences of this hypothesis under the assumption of a fundamental scale, with smooth spacetime geometry viewed as emergent. This approach resembles causal set theory, but differs in important ways; for example, the relative viewpoint, emphasizing relations between pairs of events, and relationships between pairs of histories, is central. The book culminates in a dynamical law for quantum spacetime, derived via generalized path summation.

Download or read book The Evolution of Economic Systems written by Kurt Dopfer and published by Springer. This book was released on 1990-06-18 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Honouring Ota Sik's economics, political life, and his social and humane concerns, this book brings together contributions from economists from East and West. It examines principally the evolution of different economic systems.

Download or read book Mathematical Methods and Models in Phase Transitions written by Alain Miranville and published by Nova Publishers. This book was released on 2005 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: The modelling and the study of phase transition phenomena are capital issues as they have essential applications in material sciences and in biological and industrial processes. We can mention, e.g., phase separation in alloys, ageing of materials, microstructure evolution, crystal growth, solidification in complex alloys, surface diffusion in the presence of stress, evolution of the surface of a thin flow in heteroepitaxial growth, motion of voids in interconnects in integrated circuits, treatment of airway closure disease by surfactant injection, fuel injection, fire extinguishers etc., This book consists of 11 contributions from specialists in the mathematical modelling and analysis of phase transitions. The content of these contributions ranges from the modelling to the mathematical and numerical analysis. Furthermore, many numerical simulations are presented. Finally, the contributors have tried to give comprehensive and accurate reference lists. This book should thus serve as a reference book for researchers interested in phase transition phenomena.

Download or read book Uncertainty A Catalyst for Creativity Learning and Development written by Ronald A. Beghetto and published by Springer Nature. This book was released on 2022-07-18 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited volume brings together a group of international researchers and theorists from various intellectual and analytic traditions to explore the role uncertainty plays in creativity, learning, and development. Contributors to this volume draw on existing programs of research as well as introduce new and even speculative directions for research, theory and practice. Learning and life are filled with uncertainty. Although the experience of uncertainty can cause emotional discomfort or cognitive rigidity, uncertainty serves as a catalyst and condition for change. In this way, uncertainty represents a core facet in the interrelationship among creativity, learning, and development. Considerations for both the benefits and potential costs of uncertainty will be addressed in this volume with an aim of understanding how uncertainty can be better understood in light of creativity, learning, and development. Taken together this volume stands to contribute to our collective understanding of the role that uncertainty plays in learning and life and highlights how conceptualizing and studying uncertainty in new ways can promote positive and lasting change.

Download or read book Kinetics of Phase Transitions written by Sanjay Puri and published by CRC Press. This book was released on 2009-03-24 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing a comprehensive introduction with the necessary background material to make it accessible for a wide scientific audience, Kinetics of Phase Transitions discusses developments in domain-growth kinetics. This book combines pedagogical chapters from leading experts in this area and focuses on incorporating various experimentally releva

Download or read book ICANN 93 written by Stan Gielen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 1116 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the proceedings of the International Confer ence on Artificial Neural Networks which was held between September 13 and 16 in Amsterdam. It is the third in a series which started two years ago in Helsinki and which last year took place in Brighton. Thanks to the European Neural Network Society, ICANN has emerged as the leading conference on neural networks in Europe. Neural networks is a field of research which has enjoyed a rapid expansion and great popularity in both the academic and industrial research communities. The field is motivated by the commonly held belief that applications in the fields of artificial intelligence and robotics will benefit from a good understanding of the neural information processing properties that underlie human intelligence. Essential aspects of neural information processing are highly parallel execution of com putation, integration of memory and process, and robustness against fluctuations. It is believed that intelligent skills, such as perception, motion and cognition, can be easier realized in neuro-computers than in a conventional computing paradigm. This requires active research in neurobiology to extract com putational principles from experimental neurobiological find ings, in physics and mathematics to study the relation between architecture and function in neural networks, and in cognitive science to study higher brain functions, such as language and reasoning. Neural networks technology has already lead to practical methods that solve real problems in a wide area of industrial applications. The clusters on robotics and applications contain sessions on various sub-topics in these fields.

Download or read book Encyclopaedia of Mathematics written by M. Hazewinkel and published by Springer. This book was released on 2013-12-01 with total page 967 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Handbook of Differential Scanning Calorimetry written by Joseph D Menczel and published by Butterworth-Heinemann. This book was released on 2023-02-22 with total page 876 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential scanning calorimetry (DSC) is the most important thermal analysis technique used today and the most common thermal analysis instrument found in chemical characterization laboratories. DSC has become an everyday tool in characterization laboratories, but many researchers using this technique have a limited understanding of the true breadth of its capabilities. Up to now, there has been no book that would describe the application of DSC in all the various areas of materials chemistry. The Handbook of Differential Scanning Calorimetry has been written to fill that void. This book is designed to summarize the knowledge of differential scanning calorimetry so that materials researchers and application chemists are given both a better understanding of techniques , as well as a review of the full scope of its capabilities. It also discusses how to properly interpret the DSC thermograms data obtained. Included in this work is the most up-to-date information written by some of the leaders in the field. It is written not only to help users get the most out of their equipment, After reading this book, people in all chemical and biological areas will have a broad overview of this measuring technique, and will be able to utilize this analytical technique more efficiently. - Provides a detail description of the theory behind differential scanning while simultaneously providing a wider breadth of understanding of the actual DSC technique - Includes a review of the basics of heat flux and power compensation DSC's, as well as separate chapters on inorganic and organic materials - Reviews the most common commercial DSC instruments on the market and their uses, including TA Instruments, Perkin-Elmer, Hitachi, Mettler Toledo, Netzsch, and Setaram