Molecular Theory of Solutions
Molecular Theory of Solutions

Author: Arieh Ben-Naim

Publisher: Oxford University Press

Published: 2006-07-27

Total Pages: 399

ISBN-13: 0199299692

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This book presents new and updated developments in the molecular theory of mixtures and solutions. It is based on the theory of Kirkwood and Buff which was published more than fifty years ago. This theory has been dormant for almost two decades. It has recently become a very powerful and general tool to analyze, study and understand any type of mixtures from the molecular, or the microscopic point of view. The traditional approach to mixture has been, for many years, based on the study of excess thermodynamic quantities. This provides a kind of global information on the system. The new approach provides information on the local properties of the same system. Thus, the new approach supplements and enriches our information on mixtures and solutions.

Fluctuation Theory of Solutions
Fluctuation Theory of Solutions

Author: Paul E. Smith

Publisher: CRC Press

Published: 2016-04-19

Total Pages: 383

ISBN-13: 1439899231

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There are essentially two theories of solutions that can be considered exact: the McMillan-Mayer theory and Fluctuation Solution Theory (FST). The first is mostly limited to solutes at low concentrations, while FST has no such issue. It is an exact theory that can be applied to any stable solution regardless of the number of components and their co

Statistical Thermodynamics for Chemists and Biochemists
Statistical Thermodynamics for Chemists and Biochemists

Author: Arieh Y. Ben-Naim

Publisher: Springer Science & Business Media

Published: 2013-11-11

Total Pages: 700

ISBN-13: 1475715986

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This book was planned and written with one central goal in mind: to demonstrate that statistical thermodynamics can be used successfully by a broad group of scientists, ranging from chemists through biochemists to biologists, who are not and do not intend to become specialists in statistical thermodynamics. The book is addressed mainly to gradu ate students and research scientists interested in designing experiments the results of which may be interpreted at the molecular level, or in interpreting such experimental results. It is not addressed to those who intend to practice statistical thermodynamics per se. With this goal in mind, I have expended a great deal of effort to make the book clear, readable, and, I hope, enjoyable. This does not necessarily mean that the book as a whole is easy to read. The first four chapters are very detailed. The last four become progressively more difficult to read, for several reasons. First, presuming that the reader has already acquired familiarity with the methods and arguments presented in the first part, I felt that similar arguments could be skipped later on, leaving the details to be filled in by the reader. Second, the systems themselves become progressively more com plicated as we proceed toward the last chapter.

Theories of Solutions
Theories of Solutions

Author: Svante Arrhenius

Publisher: Legare Street Press

Published: 2023-07-18

Total Pages: 0

ISBN-13: 9781021715753

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Explore the fundamental principles behind the science of solutions with this classic work. Originally published in 1895, this book has become a cornerstone of physical chemistry, offering insights into the behavior of gases, electrolytes, and other chemical systems. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Stability Theory and the Existence of Periodic Solutions and Almost Periodic Solutions
Stability Theory and the Existence of Periodic Solutions and Almost Periodic Solutions

Author: T. Yoshizawa

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 240

ISBN-13: 146126376X

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Since there are several excellent books on stability theory, the author selected some recent topics in stability theory which are related to existence theorems for periodic solutions and for almost periodic solutions. The author hopes that these notes will also serve as an introduction to stability theory. These notes contain stability theory by Liapunov's second method and somewhat extended discussion of stability properties in almost periodic systems, and the existence of a periodic solution in a periodic system is discussed in connection with the boundedness of solutions, and the existence of an almost periodic solution in an almost periodic system is considered in con nection with some stability property of a bounded solution. In the theory of almost periodic systems, one has to consider almost periodic functions depending on parameters, but most of text books on almost periodic functions do not contain this case. Therefore, as mathemati cal preliminaries, the first chapter is intended to provide a guide for some properties of almost periodic functions with parameters as well as for properties of asymptotically almost periodic functions. These notes originate from a seminar on stability theory given by the author at the Mathematics Department of Michigan State Univer sity during the academic year 1972-1973. The author is very grateful to Professor Pui-Kei Wong and members of the Department for their warm hospitality and many helpful conversations. The author wishes to thank Mrs.

Classical Solutions in Quantum Field Theory
Classical Solutions in Quantum Field Theory

Author: Erick J. Weinberg

Publisher: Cambridge University Press

Published: 2012-08-16

Total Pages: 341

ISBN-13: 0521114632

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An overview of classical solutions and their consequences in quantum field theory, high energy physics and cosmology for graduates and researchers.

Elements of Information Theory
Elements of Information Theory

Author: Thomas M. Cover

Publisher: John Wiley & Sons

Published: 2012-11-28

Total Pages: 788

ISBN-13: 1118585771

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The latest edition of this classic is updated with new problem sets and material The Second Edition of this fundamental textbook maintains the book's tradition of clear, thought-provoking instruction. Readers are provided once again with an instructive mix of mathematics, physics, statistics, and information theory. All the essential topics in information theory are covered in detail, including entropy, data compression, channel capacity, rate distortion, network information theory, and hypothesis testing. The authors provide readers with a solid understanding of the underlying theory and applications. Problem sets and a telegraphic summary at the end of each chapter further assist readers. The historical notes that follow each chapter recap the main points. The Second Edition features: * Chapters reorganized to improve teaching * 200 new problems * New material on source coding, portfolio theory, and feedback capacity * Updated references Now current and enhanced, the Second Edition of Elements of Information Theory remains the ideal textbook for upper-level undergraduate and graduate courses in electrical engineering, statistics, and telecommunications.

A Course in Model Theory
A Course in Model Theory

Author: Katrin Tent

Publisher: Cambridge University Press

Published: 2012-03-08

Total Pages: 259

ISBN-13: 052176324X

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Concise introduction to current topics in model theory, including simple and stable theories.

Applied Statistics
Applied Statistics

Author: Dieter Rasch

Publisher: John Wiley & Sons

Published: 2019-08-14

Total Pages: 719

ISBN-13: 1119551544

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Instructs readers on how to use methods of statistics and experimental design with R software Applied statistics covers both the theory and the application of modern statistical and mathematical modelling techniques to applied problems in industry, public services, commerce, and research. It proceeds from a strong theoretical background, but it is practically oriented to develop one's ability to tackle new and non-standard problems confidently. Taking a practical approach to applied statistics, this user-friendly guide teaches readers how to use methods of statistics and experimental design without going deep into the theory. Applied Statistics: Theory and Problem Solutions with R includes chapters that cover R package sampling procedures, analysis of variance, point estimation, and more. It follows on the heels of Rasch and Schott's Mathematical Statistics via that book's theoretical background—taking the lessons learned from there to another level with this book’s addition of instructions on how to employ the methods using R. But there are two important chapters not mentioned in the theoretical back ground as Generalised Linear Models and Spatial Statistics. Offers a practical over theoretical approach to the subject of applied statistics Provides a pre-experimental as well as post-experimental approach to applied statistics Features classroom tested material Applicable to a wide range of people working in experimental design and all empirical sciences Includes 300 different procedures with R and examples with R-programs for the analysis and for determining minimal experimental sizes Applied Statistics: Theory and Problem Solutions with R will appeal to experimenters, statisticians, mathematicians, and all scientists using statistical procedures in the natural sciences, medicine, and psychology amongst others.