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Transference Methods in Analysis
These ten lectures were presented by Guido Weiss at the University of Nebraska during the week of May 31 to June 4, 1976. They were a part of the Regional Conference Program sponsored by the Conference Board of the Mathematical Sciences and funded by the National Science Foundation. The topic chosen, ``the transference method'', involves a very simple idea that can be applied to several different branches of analysis. The authors have chosen familiar special cases in order to illustrate the use of transference: much that involves general locally compact abelian groups can be understood by examining the real line; the group of rotations can be used to explain what can be done with compact gro...
Proof Analysis
This book continues from where the authors' previous book, Structural Proof Theory, ended. It presents an extension of the methods of analysis of proofs in pure logic to elementary axiomatic systems and to what is known as philosophical logic. A self-contained brief introduction to the proof theory of pure logic is included that serves both the mathematically and philosophically oriented reader. The method is built up gradually, with examples drawn from theories of order, lattice theory and elementary geometry. The aim is, in each of the examples, to help the reader grasp the combinatorial behaviour of an axiom system, which typically leads to decidability results. The last part presents, as an application and extension of all that precedes it, a proof-theoretical approach to the Kripke semantics of modal and related logics, with a great number of new results, providing essential reading for mathematical and philosophical logicians.
Game Theory and Its Applications
"The media today, and especially the national press, are frequently in conflict with people in the public eye, particularly politicians and celebrities, over the disclosure of private information and behaviour. Historically, journalists have argued that 'naming and shaming' serious wrong-doing and behaviour on the part of public officials is justified as being in the public interest. However, when the media spotlight is shone on perfectly legal personal behaviour, family issues and sexual orientation, and when, in particular, this involves ordinary people, the question arises of whether such matters are really in the 'public interest' in any meaningful sense of the term. In this book, leading academics, commentators and journalists from a variety of different cultures, consider the extent to which the media are entitled to reveal details of people's private lives, the laws and regulations which govern such revelations, and whether these are still relevant in the age of social media."--Publisher's website.
Descriptive Anatomy
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Human Rights, the Rule of Law, and Development in Africa
Changes in human rights environments in Africa over the past decade have been facilitated by astounding political transformations: the rise of mass movements and revolts driven by democratic and developmentalist ideals, as well as mass murder and poverty perpetuated by desperate regimes and discredited global agencies. Human Rights, the Rule of Law, and Development in Africa seeks to make sense of human rights in Africa through the lens of its triumphs and tragedies, its uneven developments and complex demands. The volume makes a significant contribution to the debate about the connections between the protection of human rights and the pursuit of economic development by interrogating the par...
Dynamics Of Cancer: Mathematical Foundations Of Oncology
The book aims to provide an introduction to mathematical models that describe the dynamics of tumor growth and the evolution of tumor cells. It can be used as a textbook for advanced undergraduate or graduate courses, and also serves as a reference book for researchers. The book has a strong evolutionary component and reflects the viewpoint that cancer can be understood rationally through a combination of mathematical and biological tools. It can be used both by mathematicians and biologists. Mathematically, the book starts with relatively simple ordinary differential equation models, and subsequently explores more complex stochastic and spatial models. Biologically, the book starts with explorations of the basic dynamics of tumor growth, including competitive interactions among cells, and subsequently moves on to the evolutionary dynamics of cancer cells, including scenarios of cancer initiation, progression, and treatment. The book finishes with a discussion of advanced topics, which describe how some of the mathematical concepts can be used to gain insights into a variety of questions, such as epigenetics, telomeres, gene therapy, and social interactions of cancer cells.
Ordered Algebraic Structures
The papers contained in this volume constitute the proceedings of the Special Session on Ordered Algebraic Structures which was held at the 1982 annual meeting of the American Mathematical Society in Cincinnati, Ohio. The Special Session and this volume honor Paul Conrad, whose work on the subject is noted for its depth and originality. These papers address many areas within the subject of ordered algebraic structures, including varieties, free algebras, lattice ordered groups, subgroups of ordered groups, semigroups, ordered rings, and topological properties of these structures.
