Issued in conjunction with the exhibition at The Metropolitan Museum of Art of over 450 works of art from the legendary Havemeyer collection, formed at the turn of the century by pioneering American patrons of art Henry O. and Louisine Havemeyer, this lavishly illustrated catalogue combines 800 illustration (176 in color) with the collaborative efforts of 27 authors who examine the various aspects of the collection in summarizing essays and in entries on individual works. In addition, one essay is devoted to the Manhattan residence designed for the Havemeyers by Tiffany and Colman. An exhaustive 90-page chronology offers a perspective on the formation of the collection, outlining the roles of friend and advisor Mary Cassatt and a succession of dealers, and focusing on the history of the family and its business interests. 9.25x12.25" Annotation copyright by Book News, Inc., Portland, OR

One of the most important—and beautiful—mathematical solutions ever devised, Noether’s theorem touches on every aspect of physics. "In the judgment of the most competent living mathematicians, Fräulein Noether was the most significant creative mathematical genius thus far produced since the higher education of women began."—Albert Einstein The year was 1915, and the young mathematician Emmy Noether had just settled into Göttingen University when Albert Einstein visited to lecture on his nearly finished general theory of relativity. Two leading mathematicians of the day, David Hilbert and Felix Klein, dug into the new theory with gusto, but had difficulty reconciling it with what was known about the conservation of energy. Knowing of her expertise in invariance theory, they requested Noether’s help. To solve the problem, she developed a novel theorem, applicable across all of physics, which relates conservation laws to continuous symmetries—one of the most important pieces of mathematical reasoning ever developed. Noether’s “first” and “second” theorem was published in 1918. The first theorem relates symmetries under global spacetime transformations to the conservation of energy and momentum, and symmetry under global gauge transformations to charge conservation. In continuum mechanics and field theories, these conservation laws are expressed as equations of continuity. The second theorem, an extension of the first, allows transformations with local gauge invariance, and the equations of continuity acquire the covariant derivative characteristic of coupled matter-field systems. General relativity, it turns out, exhibits local gauge invariance. Noether’s theorem also laid the foundation for later generations to apply local gauge invariance to theories of elementary particle interactions. In Dwight E. Neuenschwander’s new edition of Emmy Noether’s Wonderful Theorem, readers will encounter an updated explanation of Noether’s “first” theorem. The discussion of local gauge invariance has been expanded into a detailed presentation of the motivation, proof, and applications of the “second” theorem, including Noether’s resolution of concerns about general relativity. Other refinements in the new edition include an enlarged biography of Emmy Noether’s life and work, parallels drawn between the present approach and Noether’s original 1918 paper, and a summary of the logic behind Noether’s theorem.

Komaroff (curator of Islamic Art, Los Angeles County Museum of Art) and Carboni (curator of Islamic Art, Metropolitan Museum of Art) produced this fine catalog to accompany a major show of Ilkhanid (as the Mongol dynasty was called after conversion to Islam) art exhibited at the authors' museums in New York and Los Angeles in 2002-2003. Most of the manuscripts, metalwork, textiles, ceramics, and other finely decorated objects were created in Iran. Many objects are also included from the Yuan Dynasty in China, during which the Mongols ruled. Eight full-length essays are built around the objects of the exhibition and other works, all depicted in color. The essays describe the history, culture, courtly life, artistic exchanges, religious art, arts of the book, and creation of a new visual language. Distributed by Yale U. Press. Annotation copyrighted by Book News, Inc., Portland, OR