Resolution of singularities is notorious as a difficult topic within algebraic geometry. Recent work, aiming at resolution of families and semistable reduction, infused the subject with logarithmic geometry and algebraic stacks, two techniques essential for the current theory of moduli spaces. As a byproduct a short, a simple and efficient functorial resolution procedure in characteristic 0 using just algebraic stacks was produced. The goals of the book, the result of an Oberwolfach Seminar, are to introduce readers to explicit techniques of resolution of singularities with access to computer implementations, introduce readers to the theories of algebraic stacks and logarithmic structures, and to resolution in families and semistable reduction methods.
This textbook is for prospective teachers of middle school mathematics. It reflects on the authors’ experience in offering various mathematics education courses to prospective teachers in the US and Canada. In particular, the content can support one or more of 24-semester-hour courses recommended by the Conference Board of the Mathematical Sciences (2012) for the mathematical preparation of middle school teachers. The textbook integrates grade-appropriate content on all major topics in the middle school mathematics curriculum with international recommendations for teaching the content, making it relevant for a global readership. The textbook emphasizes the inherent connections between mathematics and real life, since many mathematical concepts and procedures stem from common sense, something that schoolchildren intuitively possess. This focus on teaching formal mathematics with reference to real life and common sense is essential to its pedagogical approach. In addition, the textbook stresses the importance of being able to use technology as an exploratory tool, and being familiar with its strengths and weaknesses. In keeping with this emphasis on the use of technology, both physical (manipulatives) and digital (commonly available educational software), it also explores e.g. the use of computer graphing software for digital fabrication. In closing, the textbook addresses the issue of creativity as a crucial aspect of education in the digital age in general, and in mathematics education in particular.
Speshnev is the beginnings of a true story of an American Family whose patriarch was a conspirator in the Petrashevski Circle, a group of revolutionists in Tsarist Russia in the early 1800’s. Their story continues through World War I, the Bolshevik Revolution of 1917, their flight into China in 1922 only to get caught up in the Chinese Civil War. They fled in 1933 to come to America. In this, the first of three books, there are three love stories, suicides, murder, marriage to a dead woman and then we have the history of Russia and the Romanov family themselves.
The Speshnev family saga continues with this true story. Nikolai spends his 10 years in Siberia and is finally released only to see his son get caught up in the assault and starvation of Paris and his other son go to work for the Tsar. The Romanov family experience assassinations, affairs, charlatans and medical difficulties as they attempt to govern the country. Nikolai Lenin continues to study, espouse and push the teachings of Karl Marx while Lena begins her cross country search to find her lover Nikolai and Natalyn his actress granddaughter is captured by Bolsheviks during the first revolution.
STORFILMEN HEAT FRÅN 1995 MED ROBERT DE NIRO, AL PACINO OCH VAL KILMER I HUVUDROLLERNA HAR ÄNTLIGEN FÅTT EN UPPFÖLJARE I BOKFORM! Dagen efter uppgörelsen i filmen Heat gömmer sig Chris (Val Kilmer) i Koreatown. Skadad och desperat försöker han komma ut från Los Angeles medan han är jagad av LAPD-polisen Vincent Hanna (Al Pacino). Några timmar tidigare dödade Vincent Chris vapenbroder Neil (Robert De Niro) under en skottlossning på LAX startbanor. Nu är Vincent fast besluten att döda Chris, den sista överlevande av Neils gäng. 1988, sju år tidigare, styr Chris och Neil droghandeln från västkusten ner till mexikanska gränsen och sedan in i Chicago. Våghalsiga och drivna drar de in tonvis med pengar och lever livet glada dagar. Kokainstinna Chicagomordutredaren Vincent – bestämmer sig för att ensam jaga dessa män när deras våldsvåg har gått för långt. Heat 2 är både fängslande och rörande – ett litterärt spänningsmästerverk som har samma ambitiösa story och rika persongalleri som en episk storfilm. *** Michael Mann, 1943, är en av världens främste filmskapare, som här debuterar som spänningsförfattare. Fyrfaldigt Oscarsnominerad för filmer som Den siste mohikanen, The Insider, Ali och Collateral. *** ”Heat 2 är den mest briljanta och fängslande spänningsroman jag läst! Den har fascinerande karaktärer och skildrar verklighetstroget de kriminella och de poliser som oförtröttligt jagar dem.” Don Winslow
Starting in the middle of the 80s, there has been a growing and fruitful interaction between algebraic geometry and certain areas of theoretical high-energy physics, especially the various versions of string theory. Physical heuristics have provided inspiration for new mathematical definitions (such as that of Gromov-Witten invariants) leading in turn to the solution of problems in enumerative geometry. Conversely, the availability of mathematically rigorous definitions and theorems has benefited the physics research by providing the required evidence in fields where experimental testing seems problematic. The aim of this volume, a result of the CIME Summer School held in Cetraro, Italy, in 2005, is to cover part of the most recent and interesting findings in this subject.
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