Rei Zero

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Real and Complex Analysis

This is the second volume of the two-volume book on real and complex analysis. This volume is an introduction to the theory of holomorphic functions. Multivalued functions and branches have been dealt carefully with the application of the machinery of complex measures and power series. Intended for undergraduate students of mathematics and engineering, it covers the essential analysis that is needed for the study of functional analysis, developing the concepts rigorously with sufficient detail and with minimum prior knowledge of the fundamentals of advanced calculus required. Divided into four chapters, it discusses holomorphic functions and harmonic functions, Schwarz reflection principle, infinite product and the Riemann mapping theorem, analytic continuation, monodromy theorem, prime number theorem, and Picard’s little theorem. Further, it includes extensive exercises and their solutions with each concept. The book examines several useful theorems in the realm of real and complexanalysis, most of which are the work of great mathematicians of the 19th and 20th centuries.
Japanese Made Easy

Author: Tazuko Ajiro Monane
language: en
Publisher: Tuttle Publishing
Release Date: 2019-10-15
This is a self-study guide to the Japanese language Harvard University's Tazuko Monane teaches you the secret of speaking Japanese fluently in simple 20-minute lessons. Each lesson zeroes in on one everyday activity: introducing yourself, asking directions, ordering sushi, giving directions to a taxi driver, eating with friends, and other everyday conversations. Japanese Made Easy is designed for people living in or going to Japan who would like to learn Japanese but have never studied it before. Obviously, living or traveling in Japan is itself not the secret to learning Japanese--many Westerners live in Japan for a long time and except for a few words learn very little about its language. The important thing will be your motivation to learn. An ability to speak Japanese and read Japanese is vital to understanding your surroundings. Whether you travel to Japan as a tourist, student or businessperson, whether you use this book before or after your arrival in Japan, what could provide better motivation than knowing that a familiarity with the Japanese language (and with the culture it reflects) will help make your stay in Japan much richer and more interesting. If you have the good fortune to know a Japanese person, he or she will surely make your learning even easier--especially when you study pronunciation. But don't be discouraged if you have no "live model" to learn from. By following the simple suggestions given here, you will be able to come out with good understandable Japanese on your own. Key features of this book include: More than 40 social situations commonly encountered by foreigners in Japan--including greetings, asking directions, dining out, visiting places, and shopping. Practice exercises based on over 30 of the most important Japanese sentence patterns, with example sentences and answer keys. Notes on the key points of Japanese vocabulary and Japanese grammar. A comprehensive glossary of important Japanese words and an index of vocabulary and grammar items.
Shangri-La Frontier 9

After settling matters with Rust over in Nephilim Hollow, Sunraku's back in Shangri-La Frontier, searching for a new unique monster-Ctarnidd of the Abyss! Psyger-0 lends him a hand as he hacks his way through a dungeon…but then SF-Zoo, a clan he thought they had an alliance with, blocks his way! And as the players bicker with each other, a silent shadow looms over them-as the Emperor of the Night reappears!