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#### 18 Unconventional Essays on the Nature of Mathematics

Springer-Verlag New York Inc 2006; US$ 89.99What is the nature of the objects being studied? What determines the directions and styles in which mathematics progresses (or, perhaps, degenerates)? This book collects some of the writings tackling the problem of giving an account of the nature, purpose, and justification of mathematics as actually done by real live mathematicians. more...

#### Singular Perturbation Theory

Springer 2006; US$ 219.00The theory of singular perturbations has evolved as a response to the need to find approximate solutions (in an analytical form) to complex problems. Typically, such problems are expressed in terms of differential equations which contain at least one small parameter, and they can arise in many fields: fluid mechanics, particle physics, and combustion... more...

#### Towards a Philosophy of Real Mathematics

Cambridge University Press 2003; US$ 53.00Corfield sets out a variety of approaches to new thinking about the philosophy of mathematics. more...

#### Visualization, Explanation and Reasoning Styles in Mathematics

Springer 2006; US$ 199.00This book contains groundbreaking contributions to the philosophical analysis of mathematical practice. Several philosophers of mathematics have recently called for an approach to philosophy of mathematics that pays more attention to mathematical practice. Questions concerning concept-formation, understanding, heuristics, changes in style of reasoning,... more...

#### The Pendulum

Springer 2006; US$ 339.00An anthology that deals with the science, history, methodology and pedagogy of pendulum motion. This work contains material for the cross-disciplinary treatment of the pendulum from elementary school to high school to university classes. It provides an awareness of the importance of the pendulum in the foundation and development of modern science. more...

#### High-Dimensional Chaotic and Attractor Systems

Springer 2007; US$ 259.00Details prediction and control of high-dimensional chaotic and attractor systems of real life. This book provides a scientific tool that enables the actual performance of competitive research in high-dimensional chaotic and attractor dynamics. It deals with phase synchronization in high-dimensional chaotic systems. more...

#### Philosophy of Mathematics

Taylor and Francis 2010; US$ 40.95In his long-awaited new edition of Philosophy of Mathematics , James Robert Brown tackles important new as well as enduring questions in the mathematical sciences. Can pictures go beyond being merely suggestive and actually prove anything? Are mathematical results certain? Are experiments of any real value? This clear and engaging book takes... more...

#### The Arche Papers on the Mathematics of Abstraction

Springer 2007; US$ 269.00Collects together important papers concerning both the method of abstraction generally and the use of particular abstraction principles to reconstruct central areas of mathematics along logicist lines. This book focuses on extending the Neo-Fregean treatment to mathematics, and provides a test of the scope and limits of the neo-logicist project. more...

#### Accurate Clock Pendulums

Oxford University Press, UK 2004; US$ 144.99Almost all of a pendulum clock's accuracy resides in its pendulum. If the pendulum is accurate, the clock will be accurate. In this book, the author describes how to make a more accurate pendulum or pendulum clock. All scientific aspects of the pendulum design and operation are explained in simple terms and backed up with experimental data. - ;The... more...

#### The Limits of Abstraction

Oxford University Press 2008; US$ 29.98Kit Fine develops a Fregean theory of abstraction, and suggests that it may yield a new philosophical foundation for mathematics, one that can account for both our reference to various mathematical objects and our knowledge of various mathematical truths. <i>The Limits of Abstraction</i> breaks new ground both technically and philosophically.... more...