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Walking with Christiaan Huygens: From Archimedes' Influence to Unsung Contributions in Modern Science

Posted By: AvaxGenius
Walking with Christiaan Huygens: From Archimedes' Influence to Unsung Contributions in Modern Science

Walking with Christiaan Huygens: From Archimedes' Influence to Unsung Contributions in Modern Science by Tijmen Jan Moser , Enders Anthony Robinson
English | PDF EPUB (True) | 2024 | 339 Pages | ISBN : 3031461576 | 74.7 MB

Dutch scientist Christiaan Huygens (1629-1695) left an indelible mark on the fields of mathematics, physics, astronomy, and geophysics. Despite his groundbreaking contributions, history has often overlooked his pivotal role. While two of the most famous achievements in physics are Newton’s theory of gravity and Einstein’s general theory of relativity, less well-known is that Huygens provided central elements to these theories. This book stands to correct that deficit. For example, we show how Huygens used symmetry arguments to derive conservation laws for momentum and for energy, and what Einstein later called the principle of equivalence to derive the formula for centrifugal force.

Nigel J. Kalton Selecta: Volume 2 (Repost)

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Nigel J. Kalton Selecta: Volume 2 (Repost)

Nigel J. Kalton Selecta: Volume 2 by Fritz Gesztesy, Gilles Godefroy, Loukas Grafakos, Igor Verbitsky
English | PDF (True | 2016 | 778 Pages | ISBN : 3319187988 | 262.5 MB

This is the second part of a two volume anthology comprising a selection of 49 articles that illustrate the depth, breadth and scope of Nigel Kalton’s research. Each article is accompanied by comments from an expert on the respective topic, which serves to situate the article in its proper context, to successfully link past, present and hopefully future developments of the theory and to help readers grasp the extent of Kalton’s accomplishments. Kalton’s work represents a bridge to the mathematics of tomorrow, and this book will help readers to cross it.

Parametrized Measures and Variational Principles

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Parametrized Measures and Variational Principles

Parametrized Measures and Variational Principles by Pablo Pedregal
English | PDF | 1997 | 217 Pages | ISBN : 3764356979 | 15.3 MB

Weak convergence is a basic tool of modern nonlinear analysis because it enjoys the same compactness properties that finite dimensional spaces do: basically, bounded sequences are weak relatively compact sets. Nonetheless, weak conver­ gence does not behave as one would desire with respect to nonlinear functionals and operations. This difficulty is what makes nonlinear analysis much harder than would normally be expected. Parametrized measures is a device to under­ stand weak convergence and its behavior with respect to nonlinear functionals. Under suitable hypotheses, it yields a way of representing through integrals weak limits of compositions with nonlinear functions.

Applied Mathematics and Modelling in Finance, Marketing and Economics

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Applied Mathematics and Modelling in Finance, Marketing and Economics

Applied Mathematics and Modelling in Finance, Marketing and Economics by Said Melliani, Oscar Castillo, Abdelmajid El Hajaji
English | PDF EPUB (True) | 2024 | 245 Pages | ISBN : 3031428463 | 42.4 MB

This book offers a comprehensive overview of the latest advancements in the field of applied mathematics as it relates to finance, marketing, and economics. It covers a range of topics including the effective utilization of applied mathematics and mathematical modeling in finance, economics, and marketing. Additionally, it explores the intersection between applied mathematics and practical applications in various scientific fields. The book targets a multidisciplinary audience, fostering the exchange of diverse ideas and showcasing the broad appeal of different subjects. It delves into recent developments in areas such as mathematical modeling in finance, mathematical modeling in marketing, the modeling of financial and economic fundamentals (e.g., interest rates, asset prices), market behavior modeling, modeling market imperfections, pricing financial derivative securities, hedging strategies, numerical methods, and financial engineering.

Decision & Control in Management Science: Essays in Honor of Alain Haurie

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Decision & Control in Management Science: Essays in Honor of Alain Haurie

Decision & Control in Management Science: Essays in Honor of Alain Haurie by Georges Zaccour
English | PDF | 2002 | 419 Pages | ISBN : 0792379373 | 35.4 MB

Decision & Control in Management Science analyzes emerging decision problems in the management and engineering sciences. It is divided into five parts. The first part explores methodological issues involved in the optimization of deterministic and stochastic dynamical systems. The second part describes approaches to the model energy and environmental systems and draws policy implications related to the mitigation of pollutants. The third part applies quantitative techniques to problems in finance and economics, such as hedging of options, inflation targeting, and equilibrium asset pricing. The fourth part considers a series of problems in production systems. Optimization methods are put forward to provide optimal policies in areas such as inventory management, transfer-line, flow-shop and other industrial problems. The last part covers game theory. Chapters range from theoretical issues to applications in politics and interactions in franchising systems.

Nigel J. Kalton Selecta: Volume 2

Posted By: AvaxGenius
Nigel J. Kalton Selecta: Volume 2

Nigel J. Kalton Selecta: Volume 2 by Fritz Gesztesy, Gilles Godefroy, Loukas Grafakos, Igor Verbitsky
English | PDF (True | 2016 | 778 Pages | ISBN : 3319187988 | 262.5 MB

This is the second part of a two volume anthology comprising a selection of 49 articles that illustrate the depth, breadth and scope of Nigel Kalton’s research. Each article is accompanied by comments from an expert on the respective topic, which serves to situate the article in its proper context, to successfully link past, present and hopefully future developments of the theory and to help readers grasp the extent of Kalton’s accomplishments. Kalton’s work represents a bridge to the mathematics of tomorrow, and this book will help readers to cross it.

Computer Algebra Recipes for Classical Mechanics

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Computer Algebra Recipes for Classical Mechanics

Computer Algebra Recipes for Classical Mechanics by Richard H. Enns , George C. McGuire
English | PDF | 2003 | 273 Pages | ISBN : 0817642919 | 22.5 MB

Hundreds of novel and innovative computer algebra "recipes" will enable readers starting at the second year undergraduate level to easily and rapidly solve and explore most problems they encounter in their classical mechanics studies. Using the powerful computer algebra system MAPLE (Release 8) - no prior knowledge of MAPLE is presumed - the relevant command structures are explained on a need-to-know basis as the recipes are developed. This new problem-solving guide can serve in the classroom or for self-study, for reference, or as a text for an on-line course.

Elements and Relations: Aspects of a Scientific Metaphysics

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Elements and Relations: Aspects of a Scientific Metaphysics

Elements and Relations: Aspects of a Scientific Metaphysics by Martin Zwick
English | PDF (True) | 2023 | 711 Pages | ISBN : 3030994023 | 10.3 MB

This book develops the core proposition that systems theory is an attempt to construct an “exact and scientific metaphysics,” a system of general ideas central to science that can be expressed mathematically. Collectively, these ideas would constitute a nonreductionist “theory of everything” unlike what is being sought in physics. Inherently transdisciplinary, systems theory offers ideas and methods that are relevant to all of the sciences and also to professional fields such as systems engineering, public policy, business, and social work. To demonstrate the generality and importance of the systems project, the book structures its content in three parts: Essay, Notes, and Commentary. The Essay section is a short distillation of systems ideas that illuminate the problems that many types of systems face. Commentary explains systems thinking, its value, and its relation to mainstream scientific knowledge. It shows how systems ideas revise our understanding of science and how they impact our views on religion, politics, and history. Finally, Notes contains all the mathematics in the book, as well as scientific, philosophical, and poetic content that is accessible to readers without a strong mathematical background.

Mathematics and Computation

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Mathematics and Computation

Mathematics and Computation: IACMC 2022, Zarqa, Jordan, May 11–13 by Dia Zeidan, Juan C. Cortés, Aliaa Burqan, Ahmad Qazza, Jochen Merker, Gharib Gharib
English | EPUB (True) | 2023 | 476 Pages | ISBN : 9819904463 | 55 MB

This book collects select papers presented at the 7th International Arab Conference on Mathematics and Computations (IACMC 2022), held from 11–13 May 2022, at Zarqa University, Zarqa, Jordan. These papers discuss a new direction for mathematical sciences. Researchers, professionals and educators will be exposed to research results contributed by worldwide scholars in fundamental and advanced interdisciplinary mathematical research such as differential equations, dynamical systems, matrix analysis, numerical methods and mathematical modelling. The vision of this book is to establish prototypes in completed, current and future mathematical and applied sciences research from advanced and developing countries. The book is intended to make an intellectual contribution to the theory and practice of mathematics. This proceedings would connect scientists in this part of the world to the international level.

Statistical Geometry and Applications to Microphysics and Cosmology

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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.

M-Theory and Quantum Geometry

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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.

Computer Algebra Recipes for Mathematical Physics

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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.

Stochastik: Theorie und Anwendungen

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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.

Statistical Decision Theory: Foundations, Concepts, and Methods

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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.

A Programming Approach to Computability

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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.