Unusually clear, accessible introduction covers counting, properties of numbers, prime numbers, Aliquot parts, Diophantine problems, congruences, much more. Bibliography.

A renowned expert on Edvard Munch delivers this wonderfully illustrated volume on the life and work of the great artist. Edvard Munch’s paintings have maintained their captivating hold on audiences for over one hundred years, with The Scream being among the most recognizable and distinct works of modern art. In this accessible guide to the artist, art historian Oystein Ustvedt tells the story of how Munch became one of the most celebrated artists in the world. Ustvedt conducts a thorough visual analysis of Munch’s paintings, examining how he painted emotions in a way that had not been seen before and unpacking why his images have remained so significant. This study is paired with a revealing discussion of Munch’s turbulent life—from a childhood marked by the death of his mother and sister, to his adult life spent in France and Germany, as well as the mysterious saga that left Munch with a gunshot wound after a breakup. Full of rarely seen images from Munch’s archive, as well as fascinating insight into his life and work, Edvard Munch presents a welcome opportunity to get to know Norway’s most famous artist.

Niels Henrik Abel was first published in 1957. Minnesota Archive Editions uses digital technology to make long-unavailable books once again accessible, and are published unaltered from the original University of Minnesota Press editions. Few men are more famous in the world of modern mathematics than Niels Henrik Abel, whose concepts and results are familiar to all present-day mathematicians. This volume, the first biography of Abel published in English, presents the story of the brilliant young Norwegian whose scientific achievements were not fully recognized until after his untimely death. It is also a case history of our perennial problem of how to detect genius and ease its path. Abel was born in 1802 in Finnoy, a little island on the coast of Norway. His father was a minister and politician of national importance, but his family descended from prominence to moral dissolution. Abel's studies were financed by his professors, aware of his extraordinary abilities. He was granted a fellowship to travel and study on the continent, and the year and a half which he then spent in Germany, Italy, and France was a most happy period in his life. When Abel returned to Norway, he could only obtain a temporary position, and in his last years he was harassed by grave difficulties. He managed, however, to write inspired mathematical articles which made a reputation for him among the mathematicians of Europe. Just as the security he longed for seemed within his grasp, he died of tuberculosis at the age of twenty-six. Abel's life has been the subject of several books, published in the Scandinavian countries, France, and Germany, but, in preparing this biography, Mr. Ore made use of much new material obtained from private letters, official documents, and newspaper files in various European sources.

A sophisticated, original introduction to the philosophy of mathematics from one of its leading thinkers Mathematics is a model of precision and objectivity, but it appears distinct from the empirical sciences because it seems to deliver nonexperiential knowledge of a nonphysical reality of numbers, sets, and functions. How can these two aspects of mathematics be reconciled? This concise book provides a systematic, accessible introduction to the field that is trying to answer that question: the philosophy of mathematics. Øystein Linnebo, one of the world's leading scholars on the subject, introduces all of the classical approaches to the field as well as more specialized issues, including mathematical intuition, potential infinity, and the search for new mathematical axioms. Sophisticated but clear and approachable, this is an essential book for all students and teachers of philosophy and of mathematics.

Mathematics appears to be concerned with abstract objects such as numbers and sets. What are these objects? Oystein Linnebo develops a distinctive approach to ontology, in which abstract objects such as numbers and sets are demystified and allowed to exist alongside more familiar physical objects.

Since the collapse of the Soviet Union, the international system has been unipolar, centered on the United States. But the rise of China foreshadows a change in the distribution of power. Øystein Tunsjø shows that the international system is moving toward a U.S.-China standoff, bringing us back to bipolarity—a system in which no third power can challenge the top two. The Return of Bipolarity in World Politics surveys the new era of superpowers to argue that the combined effects of the narrowing power gap between China and the United States and the widening power gap between China and any third-ranking power portend a new bipolar system that will differ in crucial ways from that of the last century. Tunsjø expands Kenneth N. Waltz’s structural-realist theory to examine the new bipolarity within the context of geopolitics, which he calls “geostructural realism.” He considers how a new bipolar system will affect balancing and stability in U.S.-China relations, predicting that the new bipolarity will not be as prone to arms races as the previous era’s; that the risk of limited war between the two superpowers is likely to be higher in the coming bipolarity, especially since the two powers are primarily rivals at sea rather than on land; and that the superpowers are likely to be preoccupied with rivalry and conflict in East Asia instead of globally. Tunsjø presents a major challenge to how international relations understands superpowers in the twenty-first century.