Science of Inexact Mathematics PDF Download

Author: Yuri K. Shestopaloff
Publisher: AKVY PRESS
ISBN: 0980966701
Category : Business & Economics
Languages : en
Pages : 593

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Book Description

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.

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

Author: Ioannis K. Argyros
Publisher:
ISBN: 9781536194173
Category : Mathematics
Languages : en
Pages : 0

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Book Description
Numerous problems from diverse disciplines can be converted using mathematical modeling to an equation defined on suitable abstract spaces usually involving the n-dimensional Euclidean space or Hilbert space or Banach Space or even more general spaces. The solution of these equations is sought in closed form. But this is possible only in special cases. That is why researchers and practitioners use iterative algorithms, which seem to be the only alternative.Due to the explosion of technology, faster and faster computers become available. This development simply means that new optimized algorithms should be developed to take advantage of these improvements. That is exactly where we come in with our book containing such algorithms with applications in problems from numerical analysis and economics but also from other areas such as biology, chemistry, physics, parallel computing, and engineering. The book is an outgrowth of scientific research conducted over two years. This book can be used by senior undergraduate students, graduate students, researchers, and practitioners in the aforementioned areas in the classroom or as reference material. Readers should know the fundamentals of numerical-functional analysis, economic theory, and Newtonian physics. Some knowledge of computers and contemporary programming shall be very helpful to readers.

Author: Yuri K. Shestopaloff
Publisher: AKVY PRESS
ISBN: 0980966752
Category : Science
Languages : en
Pages : 173

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Book Description
One may argue that life is not so simple. From Shestopaloff' s perspective, it exactly is. What he successfully did in the discussed work is logical holistic arrangement of physical and biological puzzles to reveal the landscape of Living Nature more informative than mixed up pieces. Reviewed book is well written reading-matter for all people interesting in physical basis of life, without rich mathematical experience. It is also carrying some dose of philosophical reflections about science as it. It may be recommended as valuable lecture especially for students and scientists working in the area of biology and biophysics

Author: Simon Duffy
Publisher: Bloomsbury Publishing
ISBN: 1441179208
Category : Philosophy
Languages : en
Pages : 353

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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 provide 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 B.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 seemingly incompatible engagements with mathematics, Duffy succeeds in presenting a solid foundation for Deleuze's philosophy, rebuffing the recent challenges against it.

Author: Richard L. Tieszen
Publisher: Cambridge University Press
ISBN: 0521837820
Category : Mathematics
Languages : en
Pages : 369

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Book Description
In this 2005 book, logic, mathematical knowledge and objects are explored alongside reason and intuition in the exact sciences.

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.

Author: Bharath Sriraman
Publisher: Springer Nature
ISBN: 3031408462
Category :
Languages : en
Pages : 3221

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Book Description

Author: Francis T.S. Yu
Publisher: CRC Press
ISBN: 1000572250
Category : Science
Languages : en
Pages : 209

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Book Description
The author has shown that practically all our laws, principles, and theories are not physically realizable, since they were derived from an empty space paradigm. From which this book is started with the origin of our temporal (t > 0) universe, it shows that temporal subspace is a physically realizable space within our universe. As in contrasted with generally accepted paradigm where time is an independent variable. From which the author has shown that it is not how rigorous mathematics is, but it is the temporal (t > 0) space paradigm determines the physically realizable solution. Although Einstein’s relativity and Schrödinger's principle had revolutionized the modern science, this book has shown that both theory and principle are physically non-realizable since they were developed from an empty space paradigm. One of the most important contribution of this book must be the revolutionary idea of our temporal (t > 0) space, for which the author has shown that absolute certainty exists only at the present (t = 0) moment. Where past-time information has no physical substance and future-time represents a physically realizable yet uncertainty. From which the author has shown that all the existent laws, principles, and theories were based on past-time certainties to predict the future, but science is supposed to be approximated. The author has also shown that this is precisely our theoretical science was developed. But time independent laws and principles are not existed within our temporal universe, in view of the author’s temporal exclusive principle. By which the author has noted that timeless science has already created a worldwide conspiracy for examples such as superposition principle, qubit information, relativity theory, wormhole travelling and many others. This book has also shown that Heisenberg’s uncertainty is an observational principle independent with time, yet within our universe everything changes with time. In this book the author has also noted that micro space behaviors the same as macro space regardless of the particle size. Finally, one of interesting feature is that, that big bang creation was ignited by a self-induced gravitational force instead by time as commonly believed. Nevertheless, everything has a price to pay; a section of time ∆t and an amount of energy ∆E and it is not free. The author has also shown that time is the only variable that cannot be changed. Although we can squeeze a section of time ∆t as small as we wish but we can never able to squeeze ∆t to zero even we have all the needed energy. Nevertheless, this revolutionary book closer to the truth is highly recommended to every scientist and engineer, otherwise we will forever be trapped within the timeless fantasyland of science. This book is intended for cosmologists, particle physicists, astrophysicists, quantum physicists, computer scientists, optical scientists, communication engineers, professors, and students as a reference or a research-oriented book.