Science of Inexact Mathematics

Science of Inexact Mathematics PDF Author: Yuri K. Shestopaloff
Publisher: AKVY PRESS
ISBN: 0980966701
Category : Business & Economics
Languages : en
Pages : 593

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Book Description

Science of Inexact Mathematics

Science of Inexact Mathematics PDF Author: Yuri K. Shestopaloff
Publisher: AKVY PRESS
ISBN: 0980966701
Category : Business & Economics
Languages : en
Pages : 593

Get Book Here

Book Description


Fuzziness and Foundations of Exact and Inexact Sciences

Fuzziness and Foundations of Exact and Inexact Sciences PDF Author: Kofi Kissi Dompere
Publisher: Springer
ISBN: 3642311229
Category : Technology & Engineering
Languages : en
Pages : 191

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Book Description
The monograph is an examination of the fuzzy rational foundations of the structure of exact and inexact sciences over the epistemological space which is distinguished from the ontological space. It is thus concerned with the demarcation problem. It examines exact science and its critique of inexact science. The role of fuzzy rationality in these examinations is presented. The driving force of the discussions is the nature of the information that connects the cognitive relational structure of the epistemological space to the ontological space for knowing. The knowing action is undertaken by decision-choice agents who must process information to derive exact-inexact or true-false conclusions. The information processing is done with a paradigm and laws of thought that constitute the input-output machine. The nature of the paradigm selected depends on the nature of the information structure that is taken as input of the thought processing. Generally, the information structure received from the ontological space is defective from the simple principles of acquaintances and the limitations of cognitive agents operating in the epistemological space. How then do we arrive and claim exactness in our knowledge-production system? The general conclusion of this book is that the conditions of the fuzzy paradigm with its laws of thought and mathematics present a methodological unity of exact and inexact sciences where every zone of thought has fuzzy covering.

Do Dice Play God?

Do Dice Play God? PDF Author: Ian Stewart
Publisher: Basic Books
ISBN: 1541699467
Category : Mathematics
Languages : en
Pages : 304

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Book Description
A celebrated mathematician explores how math helps us make sense of the unpredictable We would like to believe we can know things for certain. We want to be able to figure out who will win an election, if the stock market will crash, or if a suspect definitely committed a crime. But the odds are not in our favor. Life is full of uncertainty --- indeed, scientific advances indicate that the universe might be fundamentally inexact --- and humans are terrible at guessing. When asked to predict the outcome of a chance event, we are almost always wrong. Thankfully, there is hope. As award-winning mathematician Ian Stewart reveals, over the course of history, mathematics has given us some of the tools we need to better manage the uncertainty that pervades our lives. From forecasting, to medical research, to figuring out how to win Let's Make a Deal, Do Dice Play God? is a surprising and satisfying tour of what we can know, and what we never will.

The Inexact and Separate Science of Economics

The Inexact and Separate Science of Economics PDF Author: Daniel M. Hausman
Publisher: Cambridge University Press
ISBN: 1009320297
Category : Business & Economics
Languages : en
Pages : 553

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Book Description
A comprehensive overview of theoretical economics, its distinctive modeling strategy, applicability, and empirical support.

Deleuze and the History of Mathematics

Deleuze and the History of Mathematics PDF Author: Simon Duffy
Publisher: A&C Black
ISBN: 1441129502
Category : Philosophy
Languages : en
Pages : 225

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Book Description
Gilles Deleuze's engagements with mathematics, replete in his work, rely upon the construction of alternative lineages in the history of mathematics, which challenge some of the self imposed limits that regulate the canonical concepts of the discipline. For Deleuze, these challenges are an opportunity to reconfigure particular philosophical problems - for example, the problem of individuation - and to develop new concepts in response to them. The highly original research presented in this book explores the mathematical construction of Deleuze's philosophy, as well as addressing the undervalued and often neglected question of the mathematical thinkers who influenced his work. In the wake of Alain Badiou's recent and seemingly devastating attack on the way the relation between mathematics and philosophy is configured in Deleuze's work, Simon Duffy offers a robust defence of the structure of Deleuze's philosophy and, in particular, the adequacy of the mathematical problems used in its construction. By reconciling Badiou and Deleuze's seeming incompatible engagements with mathematics, Duffy succeeds in presenting a solid foundation for Deleuze's philosophy, rebuffing the recent challenges against it.

Handbook of the History and Philosophy of Mathematical Practice

Handbook of the History and Philosophy of Mathematical Practice PDF Author: Bharath Sriraman
Publisher: Springer Nature
ISBN: 3031408462
Category :
Languages : en
Pages : 3221

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Book Description


Mathematics for Physical Chemistry

Mathematics for Physical Chemistry PDF Author: Robert G. Mortimer
Publisher: Elsevier
ISBN: 0080492886
Category : Science
Languages : en
Pages : 406

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Book Description
Mathematics for Physical Chemistry, Third Edition, is the ideal text for students and physical chemists who want to sharpen their mathematics skills. It can help prepare the reader for an undergraduate course, serve as a supplementary text for use during a course, or serve as a reference for graduate students and practicing chemists. The text concentrates on applications instead of theory, and, although the emphasis is on physical chemistry, it can also be useful in general chemistry courses. The Third Edition includes new exercises in each chapter that provide practice in a technique immediately after discussion or example and encourage self-study. The first ten chapters are constructed around a sequence of mathematical topics, with a gradual progression into more advanced material. The final chapter discusses mathematical topics needed in the analysis of experimental data. Numerous examples and problems interspersed throughout the presentations Each extensive chapter contains a preview, objectives, and summary Includes topics not found in similar books, such as a review of general algebra and an introduction to group theory Provides chemistry specific instruction without the distraction of abstract concepts or theoretical issues in pure mathematics

Statistical Physics of Particles

Statistical Physics of Particles PDF Author: Mehran Kardar
Publisher: Cambridge University Press
ISBN: 1139464876
Category : Science
Languages : en
Pages : 211

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Book Description
Statistical physics has its origins in attempts to describe the thermal properties of matter in terms of its constituent particles, and has played a fundamental role in the development of quantum mechanics. Based on lectures taught by Professor Kardar at MIT, this textbook introduces the central concepts and tools of statistical physics. It contains a chapter on probability and related issues such as the central limit theorem and information theory, and covers interacting particles, with an extensive description of the van der Waals equation and its derivation by mean field approximation. It also contains an integrated set of problems, with solutions to selected problems at the end of the book and a complete set of solutions is available to lecturers on a password protected website at www.cambridge.org/9780521873420. A companion volume, Statistical Physics of Fields, discusses non-mean field aspects of scaling and critical phenomena, through the perspective of renormalization group.

The Concept of Equilibrium in Different Economic Traditions

The Concept of Equilibrium in Different Economic Traditions PDF Author: Bert Tieben
Publisher: Edward Elgar Publishing
ISBN: 1781953511
Category : Business & Economics
Languages : en
Pages : 689

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Book Description
'Bert Tieben is very well read in the history of economic thought and provides an overview of one of the basic concepts of economics that is unrivalled both in its scope and in its thoughtful and detailed discussion of the various currents and schools. It goes right to the heart of economic theory and asks some pertinent questions about the limits and the future of economic theorizing. That is, I think, what sets it apart from many other studies in the history of economic thought: it is history with an eye to the future, and it does all this without making any demands on the mathematical skills of the reader. This book should therefore appeal to everybody who is interested in the methodology of economics and in exploring the boundaries of economic analysis.' Hans Visser, VU University, Amsterdam, The Netherlands This book deals with one of the most puzzling concepts in economic science, that of economic equilibrium. In modern economics, equilibrium is considered a key assumption, but its role is contested by economists both from within the mainstream and from rival schools of thought. What explains the contradictory assessments of the equilibrium concept in economics? Do economists belonging to different traditions disagree about the definition of equilibrium or do they adopt different rules for assessing scientific status? In this unique and exhaustive study, Bert Tieben answers these questions by investigating the history of equilibrium economics from 1700 to the present day. He concludes that ideology strongly coloured the development of this branch of theory, helping to explain the vehemence of the debates surrounding the concept. He also argues that scientific progress in economics may indeed be fostered by such opposition and contention, and calls for cross fertilization and stronger cooperation between the different schools of thought. This resourceful book will appeal to post graduate students and scholars in the history of economic thought and economic methodology. Both neoclassical and heterodox economists, most notably Austrian, post Keynesian and institutional economists, will also find much to interest them.

Working Toward Solutions in Fluid Dynamics and Astrophysics

Working Toward Solutions in Fluid Dynamics and Astrophysics PDF Author: Lydia Patton
Publisher: Springer Nature
ISBN: 3031256867
Category : Philosophy
Languages : en
Pages : 111

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Book Description
This book focuses on continuing the long-standing productive dialogue between physical science and the philosophy of science. Researchers and readers who want to keep up to date on front-line scientific research in fluid mechanics and gravitational wave astrophysics will find timely and well-informed analyses of this scientific research and its philosophical significance. These exciting frontiers of research pose deep scientific problems, and raise key questions in the philosophy of science related to scientific explanation and understanding, theory change and assessment, measurement, interpretation, realism, and modeling. The audience of the book includes philosophers of science, philosophers of mathematics, scientists with philosophical interests, and students in philosophy, history, mathematics, and science. Anyone who is interested in the methods and philosophical questions behind the recent exciting work in physics discussed here will profit from reading this book.