The Continuum


Book Description

Concise classic by great mathematician and physicist deals with logic and mathematics of set and function, concept of number and the continuum. Bibliography. Originally published 1918.













Ideas and Their Reception


Book Description

The History of Modern Mathematics, Volume I: Ideas and their Reception documents the proceedings of the Symposium on the History of Modern Mathematics held at Vassar College in Poughkeepsie, New York on June 20-24, 1989. This book is concerned with the emergence and reception of major ideas in fields that range from foundations and set theory, algebra and invariant theory, and number theory to differential geometry, projective and algebraic geometry, line geometry, and transformation groups. Other topics include the theory of reception for the history of mathematics and British synthetic vs. French analytic styles of algebra in the early American Republic. The early geometrical works of Sophus Lie and Felix Klein, background to Gergonne's treatment of duality, and algebraic geometry in the late 19th century are also elaborated. This volume is intended for students and researchers interested in developments in pure mathematics.




Continuum Mechanics in the Earth Sciences


Book Description

Continuum mechanics underlies many geological and geophysical phenomena, from earthquakes and faults to the fluid dynamics of the Earth. This interdisciplinary book provides geoscientists, physicists and applied mathematicians with a class-tested, accessible overview of continuum mechanics. Starting from thermodynamic principles and geometrical insights, the book surveys solid, fluid and gas dynamics. In later review chapters, it explores new aspects of the field emerging from nonlinearity and dynamical complexity and provides a brief introduction to computational modeling. Simple, yet rigorous, derivations are used to review the essential mathematics. The author emphasizes the full three-dimensional geometries of real-world examples, enabling students to apply this in deconstructing solid earth and planet-related problems. Problem sets and worked examples are provided, making this a practical resource for graduate students in geophysics, planetary physics and geology and a beneficial tool for professional scientists seeking a better understanding of the mathematics and physics within Earth sciences.




The Americana


Book Description




Conjecture and Proof


Book Description

The Budapest semesters in mathematics were initiated with the aim of offering undergraduate courses that convey the tradition of Hungarian mathematics to English-speaking students. This book is an elaborate version of the course on Conjecture and Proof. It gives miniature introductions to various areas of mathematics by presenting some interesting and important, but easily accessible results and methods. The text contains complete proofs of deep results such as the transcendence of $e$, the Banach-Tarski paradox and the existence of Borel sets of arbitrary (finite) class. One of the purposes is to demonstrate how far one can get from the first principles in just a couple of steps. Prerequisites are kept to a minimum, and any introductory calculus course provides the necessary background for understanding the book. Exercises are included for the benefit of students. However, this book should prove fascinating for any mathematically literate reader.




Publications 1929-1936


Book Description




Understanding Leadership


Book Description

Laozi, Marx, the Buddha, Ibsen, Machiavelli – these are just a few of the world’s great thinkers who have weighed in on the subject of leadership over the centuries. Yet the contemporary student of leadership often overlooks many of these names in favor of more recent theorists hailing from the social sciences. Understanding Leadership: An Arts and Humanities Perspective takes a different angle, employing the works of the great philosophers, authors, and artists found in world civilization and presenting an arts and humanities perspective on the study of leadership. The authors build their conceptual framework using their Five Components of Leadership Model, which recognizes the leader, the followers, the goal, the context, and the cultural values and norms that make up the leadership process. Supporting the text are a wealth of case studies that reflect on works such as Ayn Rand’s novella Anthem, Eugène Delacroix’s painting Liberty Leading the People, Charlie Chaplin’s film Modern Times, Athol Fugard’s play "Master Harold" . . . and the boys, Laozi’s poetic work Dao De Jing, and Antonín Dvořák’s New World Symphony. The authors also introduce studies from various world cultures to emphasize the role that cultural values and norms play in leadership. This illuminating framework promotes the multidimensional thinking that is necessary for understanding and problem-solving in a complex world. Understanding Leadership: An Arts and Humanities Perspective will be a valuable resource for both undergraduate and postgraduate leadership students, while leadership professionals will also appreciate the book’s unique liberal arts and cultural approach.