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Statistical Geometry and Applications to Microphysics and Cosmology

Posted By: AvaxGenius
Date: 23 Mar 2023 10:32:46
Statistical Geometry and Applications to Microphysics and Cosmology

Statistical Geometry and Applications to Microphysics and Cosmology by Sisir Roy
English | PDF | 1998 | 262 Pages | ISBN : 0792349075 | 20.7 MB

Recent results from high-energy scattering and theoretical developments of string theory require a change in our understanding of the basic structure of space-time. This book is about the advancement of ideas on the stochastic nature of space-time from the 1930s onward. In particular, the author promotes the concept of space as a set of hazy lumps, first introduced by Karl Menger, and constructs a novel framework for statistical behaviour at the microlevel. The various chapters address topics such as space-time fluctuation and random potential, non-local fields, and the origin of stochasticity. Implications in astro-particle physics and cosmology are also explored.
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M-Theory and Quantum Geometry

Posted By: AvaxGenius
Date: 22 Mar 2023 18:39:23
M-Theory and Quantum Geometry

M-Theory and Quantum Geometry by Lárus Thorlacius, Thordur Jonsson
English | PDF | 2000 | 472 Pages | ISBN : 0792364740 | 45.6 MB

The fundamental structure of matter and spacetime at the shortest length scales remains an exciting frontier of basic research in theoretical physics. A unifying theme in this area is the quantization of geometrical objects. The majority of lectures at the Advanced Study Institute on Quantum Ge­ ometry in Akureyri was on recent advances in superstring theory, which is the leading candidate for a unified description of all known elementary par­ ticles and interactions. The geometric concept of one-dimensional extended objects, or strings, has always been at the core of superstring theory but in recent years the focus has shifted to include also higher-dimensional ob­ jects, so called D-branes, which play a key role in the non-perturbative dynamics of the theory.
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Computer Algebra Recipes for Mathematical Physics

Posted By: AvaxGenius
Date: 17 Mar 2023 13:31:25
Computer Algebra Recipes for Mathematical Physics

Computer Algebra Recipes for Mathematical Physics by Richard H. Enns
English | PDF (True) | 2005 | 402 Pages | ISBN : 0817632239 | 5.27 MB

Over two hundred novel and innovative computer algebra worksheets or "recipes" will enable readers in engineering, physics, and mathematics to easily and rapidly solve and explore most problems they encounter in their mathematical physics studies. While the aim of this text is to illustrate applications, a brief synopsis of the fundamentals for each topic is presented, the topics being organized to correlate with those found in traditional mathematical physics texts. The recipes are presented in the form of stories and anecdotes, a pedagogical approach that makes a mathematically challenging subject easier and more fun to learn. This is a self-contained and standalone text using MAPLE that may be used in the classroom, for self-study, as a reference, or as a text for an online course.
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Stochastik: Theorie und Anwendungen

Posted By: AvaxGenius
Date: 27 Jan 2023 18:19:31
Stochastik: Theorie und Anwendungen

Stochastik: Theorie und Anwendungen by David Meintrup , Stefan Schäffler
Deutsch | PDF(True) | 2005 | 606 Pages | ISBN : 3540216766 | 3.6 MB

Stochastische Methoden besitzen in vielen Teilen der Technik und Informatik eine hohe Relevanz. So beruhen z.B. die meisten modernen Verfahren der digitalen Nachrichtenübertragung, der Schaltkreissimulation aber auch der Verfahrenstechnik und des Financial Engineering auf stochastischen Prinzipien.
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Statistical Decision Theory: Foundations, Concepts, and Methods

Posted By: AvaxGenius
Date: 24 Dec 2022 05:01:09
Statistical Decision Theory: Foundations, Concepts, and Methods

Statistical Decision Theory: Foundations, Concepts, and Methods by James O. Berger
English | PDF | 1980 | 440 Pages | ISBN : 0387904719 | 35.5 MB

Decision theory is generally taught in one of two very different ways. When of opti­ taught by theoretical statisticians, it tends to be presented as a set of mathematical techniques mality principles, together with a collection of various statistical procedures. When useful in establishing the optimality taught by applied decision theorists, it is usually a course in Bayesian analysis, showing how this one decision principle can be applied in various practical situations. The original goal I had in writing this book was to find some middle ground. I wanted a book which discussed the more theoretical ideas and techniques of decision theory, but in a manner that was constantly oriented towards solving statistical problems. In particular, it seemed crucial to include a discussion of when and why the various decision prin­ ciples should be used, and indeed why decision theory is needed at all.
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A Programming Approach to Computability

Posted By: AvaxGenius
Date: 16 Nov 2022 17:18:09
A Programming Approach to Computability

A Programming Approach to Computability by A. J. Kfoury, Robert N. Moll, Michael A. Arbib
English | PDF | 1982 | 259 Pages | ISBN : 1461257514 | 18.6 MB

Computability theory is at the heart of theoretical computer science. Yet, ironically, many of its basic results were discovered by mathematical logicians prior to the development of the first stored-program computer. As a result, many texts on computability theory strike today's computer science students as far removed from their concerns. To remedy this, we base our approach to computability on the language of while-programs, a lean subset of PASCAL, and postpone consideration of such classic models as Turing machines, string-rewriting systems, and p. -recursive functions till the final chapter. Moreover, we balance the presentation of un solvability results such as the unsolvability of the Halting Problem with a presentation of the positive results of modern programming methodology, including the use of proof rules, and the denotational semantics of programs.
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Tutorium Quantenmechanik: von einem erfahrenen Tutor - für Physik- und Mathematikstudenten

Posted By: AvaxGenius
Date: 22 Oct 2022 04:48:15
Tutorium Quantenmechanik: von einem erfahrenen Tutor - für Physik- und Mathematikstudenten

Tutorium Quantenmechanik: von einem erfahrenen Tutor - für Physik- und Mathematikstudenten by Jan-Markus Schwindt
Deutsch | PDF(True) | 2013 | 368 Pages | ISBN : 3642377912 | 2.86 MB

"Tutorium Quantenmechanik" ist ein Buch, geschrieben von einem erfahrenen Tutor für alle, die endlich einmal von der Pike auf die Physik und Mathematik der Quantenmechanik verstehen wollen. Das Buch behandelt den Stoff der entsprechenden Kursvorlesung im Rahmen der Theoretischen Physik.
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A Course in Computational Probability and Statistics

Posted By: AvaxGenius
Date: 21 Oct 2022 23:59:20
A Course in Computational Probability and Statistics

A Course in Computational Probability and Statistics by Walter Freiberger, Ulf Grenander
English | PDF | 1971 | 167 Pages | ISBN : 0387900292 | 13.6 MB

This book arose out of a number of different contexts, and numerous persons have contributed to its conception and development. It had its origin in a project initiated jointly with the IBM Cambridge Scien­ tific Center, particularly with Dr. Rhett Tsao, then of that Center. We are grateful to Mr. Norman Rasmussen, Manager of the IBM Scientific Center Complex, for his initial support. The work is being carried on at Brown University with generous support from the Office of Computing Activities of the National Science Foundation (grants GJ-174 and GJ-7l0); we are grateful to Dr. John Lehmann of this Office for his interest and encouragement. Professors Donald McClure and Richard Vitale of the Division of Applied Mathematics at Brown University contributed greatly to the project and taught courses in its spirit. We are indebted to them and to Dr. Tore Dalenius of the University of Stockholm for helpful criticisms of the manuscript. The final stimulus to the book's completion came from an invLtation to teach a course at the IBM European Systems Research Institute at Geneva.
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Mathematical Modelling Skills

Posted By: AvaxGenius
Date: 20 Oct 2022 08:30:13
Mathematical Modelling Skills

Mathematical Modelling Skills by Dilwyn Edwards, Michael Hamson
English | PDF | 1996 | 176 Pages | ISBN : 0333595955 | 20.3 MB

The aim of this book is to assist the reader to build up the necessary range of skills needed to be able to solve problems by mathematical modelling. After an introduction to the general principles and advantages of mathematical modelling, chapters 1 to 4 concentrate on the development of basic modelling skills. Each of chapters 5 to 11 isolates a particular modelling concept and provides exercises aimed at developing skills in the use of that concept. The later chapters may be conveniently read in any order as they are self contained. In keeping with the Work Out approach, each chapter contains a large number of examples and exercises, taken from a variety of subject areas and covering a broad range of difficulty. Answers are provided wherever appropriate.
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The Evolution of Chemical Knowledge: A Formal Setting for its Analysis

Posted By: AvaxGenius
Date: 7 Oct 2022 01:49:43
The Evolution of Chemical Knowledge: A Formal Setting for its Analysis

The Evolution of Chemical Knowledge: A Formal Setting for its Analysis by Jürgen Jost, Guillermo Restrepo
English | PDF,EPUB | 2022 | 130 Pages | ISBN : 303110093X | 7.8 MB

Chemistry shapes and creates the disposition of the world's resources and provides novel substances for the welfare and hazard of our civilisation at an exponential rate. Can we model the evolution of chemical knowledge? This book not only provides a positive answer to the question, it provides the formal models and available data to model chemical knowledge as a complex dynamical system based on the mutual interaction of the social, semiotic and material systems of chemistry. These systems, which have evolved over the history, include the scientists and institutions supporting chemical knowledge (social system); theories, concepts and forms of communication (semiotic system) and the substances, reactions and technologies (material system) central for the chemical practice.
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Optimal Design of Multi-Phase Materials: With a Cost Functional That Depends Nonlinearly on The Gradient

Posted By: AvaxGenius
Date: 11 Sep 2022 12:18:15
Optimal Design of Multi-Phase Materials: With a Cost Functional That Depends Nonlinearly on The Gradient

Optimal Design of Multi-Phase Materials: With a Cost Functional That Depends Nonlinearly on The Gradient by Juan Casado-Díaz
English | PDF | 2022 | 119 Pages | ISBN : 3030981908 | 2 MB

This book aims the optimal design of a material (thermic or electrical) obtained as the mixture of a finite number of original materials, not necessarily isotropic. The problem is to place these materials in such a way that the solution of the corresponding state equation minimizes a certain functional that can depend nonlinearly on the gradient of the state function. This is the main novelty in the book.
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Recent Developments in Mathematical, Statistical and Computational Sciences

Posted By: AvaxGenius
Date: 8 Sep 2022 09:47:32
Recent Developments in Mathematical, Statistical and Computational Sciences

Recent Developments in Mathematical, Statistical and Computational Sciences: The V AMMCS International Conference, Waterloo, Canada, August 18–23, 2019 by D. Marc Kilgour, Herb Kunze, Roman Makarov, Roderick Melnik, Xu Wang
English | EPUB | 2021 | 728 Pages | ISBN : 3030635902 | 85.5 MB

This book constitutes an up-to-date account of principles, methods, and tools for mathematical and statistical modelling in a wide range of research fields, including medicine, health sciences, biology, environmental science, engineering, physics, chemistry, computation, finance, economics, and social sciences. It presents original solutions to real-world problems, emphasizes the coordinated development of theories and applications, and promotes interdisciplinary collaboration among mathematicians, statisticians, and researchers in other disciplines.
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Recent Advances in Kinetic Equations and Applications

Posted By: AvaxGenius
Date: 3 Sep 2022 18:09:07
Recent Advances in Kinetic Equations and Applications

Recent Advances in Kinetic Equations and Applications by Francesco Salvarani
English | PDF,EPUB | 2021 | 398 Pages | ISBN : 3030829456 | 44.9 MB

The volume covers most of the topics addressed and discussed during the Workshop INdAM "Recent advances in kinetic equations and applications", which took place in Rome (Italy), from November 11th to November 15th, 2019. The volume contains results on kinetic equations for reactive and nonreactive mixtures and on collisional and noncollisional Vlasov equations for plasmas. Some contributions are devoted to the study of phase transition phenomena, kinetic problems with nontrivial boundary conditions and hierarchies of models. The book, addressed to researchers interested in the mathematical and numerical study of kinetic equations, provides an overview of recent advances in the field and future research directions.
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Hierarchical Methods: Undulative Electrodynamical Systems, Volume 2

Posted By: AvaxGenius
Date: 28 Aug 2022 12:40:38
Hierarchical Methods: Undulative Electrodynamical Systems, Volume 2

Hierarchical Methods: Undulative Electrodynamical Systems, Volume 2 by Victor V. Kulish
English | PDF | 2002 | 394 Pages | ISBN : 1402009682 | 41.9 MB

The book consists of two Volumes. The first (the preceding volume) is devoted to the general nonlinear theory of the hierarchical dynamic oscillative–wave systems. This theory has been called the theory of hi- archical oscillations and waves. Here two aspects of the proposed theory are discussed. The first aspects concern the fundamental nature and the basic c- cepts and ideas of a new hierarchical approach to studying hierarchical dynamic systems.
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Mechanical Systems, Classical Models Volume II: Mechanics of Discrete and Continuous Systems (Repost)

Posted By: AvaxGenius
Date: 28 Aug 2022 12:01:45
Mechanical Systems, Classical Models Volume II: Mechanics of Discrete and Continuous Systems (Repost)

Mechanical Systems, Classical Models Volume II: Mechanics of Discrete and Continuous Systems by Petre P. Teodorescu (Prof. Dr.)
English | PDF | 2009 | 570 Pages | ISBN : 1402089872 | 11.8 MB

This second volume of Mechanical Systems, Classical Models, deals with the dynamics of systems consisting of discrete particles as well as continuous systems. While differences between these models are highlighted, the generality of the proofs and corresponding computations yields results that are expressed in a common form for both discrete and continuous systems.
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