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Under The Hawthorn Tree
Jingqiu, an innocent young woman from a politically questionable family in the city, is selected as one of a small group of students to be sent to the countryside to work on a project that will further the Cultural Revolution. Clever, curious and eager, she tries to fit in with her hosts and the rural way of life, and it isn't appropriate for her to fall in love. But she does, with the son of a mighty army general. This beautiful, simple story of love against the odds will break your heart.
Handbook of Optimization
Optimization problems were and still are the focus of mathematics from antiquity to the present. Since the beginning of our civilization, the human race has had to confront numerous technological challenges, such as finding the optimal solution of various problems including control technologies, power sources construction, applications in economy, mechanical engineering and energy distribution amongst others. These examples encompass both ancient as well as modern technologies like the first electrical energy distribution network in USA etc. Some of the key principles formulated in the middle ages were done by Johannes Kepler (Problem of the wine barrels), Johan Bernoulli (brachystochrone pr...
Module Theory
This expository monograph was written for three reasons. Firstly, we wanted to present the solution to a problem posed by Wolfgang Krull in 1932 [Krull 32]. He asked whether what we now call the "Krull-Schmidt Theorem" holds for ar tinian modules. The problem remained open for 63 years: its solution, a negative answer to Krull's question, was published only in 1995 (see [Facchini, Herbera, Levy and Vamos]). Secondly, we wanted to present the answer to a question posed by Warfield in 1975 [Warfield 75]. He proved that every finitely pre sented module over a serial ring is a direct sum of uniserial modules, and asked if such a decomposition was unique. In other words, Warfield asked whether th...
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The Dynamics of Thought
This book is a selection from the articles that I have written over a period of more than twenty years. Since the focus of my research interests has shifted several times during this period, it would be difficult to identify a common theme for all the papers in the volume. Following the Swedish tradition, I therefore present this as a smörgåsbord of philosophical and cognitive issues that I have worked on. To create some order, I have organized the sixteen papers into five general sections: (1) Decision theory; (2) belief revision and nonmonotonic logic; (3) induction; (4) semantics and pragmatics; and (5) cognition and evolution. Having said this, I still think that there is a common theme to my work over the years: The dynamics of thought. My academic interests have all the time dealt with aspects of how different kinds of knowledge should be represented, and, in particular, how changes in knowledge will affect thinking. Hence the title of the book.
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Introduction to Singularities
This book is an introduction to singularities for graduate students and researchers. Algebraic geometry is said to have originated in the seventeenth century with the famous work Discours de la méthode pour bien conduire sa raison, et chercher la vérité dans les sciences by Descartes. In that book he introduced coordinates to the study of geometry. After its publication, research on algebraic varieties developed steadily. Many beautiful results emerged in mathematicians’ works. First, mostly non-singular varieties were studied. In the past three decades, however, it has become clear that singularities are necessary for us to have a good description of the framework of varieties. For exa...
Plane and Solid Geometry
This is a book on Euclidean geometry that covers the standard material in a completely new way, while also introducing a number of new topics that would be suitable as a junior-senior level undergraduate textbook. The author does not begin in the traditional manner with abstract geometric axioms. Instead, he assumes the real numbers, and begins his treatment by introducing such modern concepts as a metric space, vector space notation, and groups, and thus lays a rigorous basis for geometry while at the same time giving the student tools that will be useful in other courses.
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