This volume explores contrastive rhetoric for audiences in both ESL contexts and international EFL contexts, exposing the newest developments in theories of culture and discourse and pushing the boundaries beyond any previously staked ground. The book presents a comprehensive set of empirical investigations involving a number of first languages; 13 of the 17 authors are English-as-a-second-language speakers, many working in non-US contexts.
The first instance of pre-computer fractals was noted by the French mathematician Gaston Julia. He wondered what a complex polynomial function would look like, such as the ones named after him (in the form of z2 + c, where c is a complex constant with real and imaginary parts). The idea behind this formula is that one takes the x and y coordinates of a point z, and plug them into z in the form of x + i*y, where i is the square root of -1, square this number, and then add c, a constant. Then plug the resulting pair of real and imaginary numbers back into z, run the operation again, and keep doing that until the result is greater than some number.
Alex de Quesada reveals the full history of the US Coast Guard throughout World War II in this Elite title. In particular, the book draws attention to the little-known history of how the US Coast Guard ran a number of the landing craft throughout D-Day in 1944 as well as providing crucial anti-U-boat patrols throughout the war years. A number of Coast Guard servicemen were lost in these two campaigns, and their undeniable contribution to the US war effort deserves greater recognition.
Not all aliens are bad. However, being friends with a kind alien may have its negative points! Activities focus on a listening exercise on transport, a quiz, a crossword and a number game. A special feature is that children can use cut-out page in the book, to make their own musical horns.
Algebraic Number Theory, Second Edition (Discrete Mathematics and Its Applications)
Bringing the material up to date to reflect modern applications, Algebraic Number Theory, Second Edition has been completely rewritten and reorganized to incorporate a new style, methodology, and presentation. This edition focuses on integral domains, ideals, and unique factorization in the first chapter; field extensions in the second chapter; and class groups in the third chapter. Applications are now collected in chapter four and at the end of chapter five, where primality testing is highlighted as an application of the Kronecker–Weber theorem. In chapter five, the sections on ideal decomposition in number fields have been more evenly distributed.
