{"product_id":"9781489995186","title":"Symmetry Theory in Molecular Physics with Mathematica: A new kind of tutorial book","description":"\u003ch1\u003eSymmetry Theory in Molecular Physics with Mathematica: A new kind of tutorial book\u003c\/h1\u003e \u003ch2\u003eMcClain, William\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eAfter a few initial chapters on the basics of Mathematica, the logic of the book is controlled by group theory. It continues to teach Mathematica by example as the need arises, so an important use is always at hand for any new operator that is taught. To many science students, this is a greatly preferred way of learning a new computer language.\u003c\/p\u003e\u003cp\u003eThe main part of the book follows a strictly logical development that should be acceptable to the most rigorous minded people, while maintaining an engaging style in the spirit of Numerical Recipes by Press, Flannery, Teukolsky, and Vetterling. The essence of this style is to be just a little opinionated about good and bad ways to calculate things, but to give such advice without provoking offense, and always on an objective basis.\u003c\/p\u003e\u003cp\u003eAfter this comes the development of classes and irreducible representations, culminating in a complete proof that for every group the number of classes is equal to the number of representations, so thatall character tables must be square. The proof is motivated throughout by numerical constructions that rouse curiosity, and draw the reader into a rediscovery of Schur’s Lemmas, which thereby become truly interesting results, rather than the mysterious, dry statements often presented. This section culminates in a method for calculating the entire character table of a group. This is especially important for permutation groups that describe flexible molecules, for which are there very few published character tables. \u003c\/p\u003e\u003cp\u003eOnce the character tables are established, the real meat of physical applications can begin. The author emphasizes that every application has the same structure: (1) The construction of a reducible representation on the basis of some physical property, (2) its separation into irreducible components, and (3) the interpretation in terms of the \"symmetry species\" so produced. Because Mathematica and the xyz representations are close at hand, the separation into irreducible components can be done quickly.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2014-11-24\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9781489995186\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/b13137\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 689\u003c\/p\u003e ","brand":"Springer New York","offers":[{"title":"Default Title","offer_id":47674986987660,"sku":"9781489995186","price":62.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9781489995186.jpg?v=1776539369","url":"https:\/\/lateknightbooks.com\/products\/9781489995186","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}