Learn the insights, concepts and moves of the greatest combinations ever by the greatest players of all time. From Alekhine to Morphy, from Fischer to Kasparov, the incredible combinations and brilliant sacrifices of thirteen World Champions are collected here in the most insightful combinations book ever written. Packed with fascinating stratagems, fifty annotated games, and great practical advice for your own play. Following the lead and brilliance of the champions, take your game to the next level. 264 pages

Combinations are the central element in chess; they make the game so magical and captivating. The beautiful point of sacrificing a queen, the strongest piece, in order to checkmate with a lowly pawn brings a smile of joy to all chess lovers. Virtually all chess games possess a combination, either one hidden in the shadows of analysis carefully avoided or one that provides a decisive blow. Winning Chess Combinations is a unique work that doesn't merely repeat the wonderfully rich and vast numbers of combinations, asking readers to solve a particular diagrammed position; it is a work that is far more realistic. A combination involves a sacrifice upsetting the balance of forces, but will it work or tragically boomerang? The reader is invited to solve this critical question by identifying the advantages that a specific position holds which might make the combination successful.

The greatest chess players in the world reveal their cutthroat insights, concepts, and strategies in this fascinating volume. For individuals looking to play killer chess, this is the definitive guide to ingenious moves, incredible combinations, and brilliant sacrifices from the chess masters.

This truly outstanding book, first published in Russian in the 1970s and regarded as a classic, contains everything you need to know about how to deliver checkmate. 1000 Checkmate Combinations contains a wealth of elegant and sophisticated chess tactics as well as systematic and effective instruction. Each chapter covers a different piece or combination of pieces that is able to deliver checkmate, and provides illustrative templates for just about every mating formation. By working through the book, readers will develop their ability to recognise the potential for checkmate, as well as the know-how to execute one. Clearly written and beautifully organised, it will appeal to all chess players but particularly club players.

Susan Polgar became the first female Grandmaster at age 15—and it wasn't luck that got her there. Her use of tactics, combinations, and strategy during her games gave her the critical advantage she needed against her opponents. In Chess Tactics for Champions, Polgar gives insight into the kind of thinking that chess champions rely on while playing the game, specifically the ability to recognize patterns and combinations. With coauthor Paul Truong, Susan Polgar teaches the tactics she learned from her father, Laszlo Polgar, one of the world's best chess coaches. • Teaches players how to calculate the effect of a move in order to gain an edge over an opponent • For intermediate to advanced chess players of all ages

Complex analysis is a classic and central area of mathematics, which is studied and exploited in a range of important fields, from number theory to engineering. Introduction to Complex Analysis was first published in 1985, and for this second edition the text has been considerably expanded, while retaining the style of the original. More detailed presentation is given of elementary topics, to reflect the knowledge base of current students. Exercise sets have been substantially revised and enlarged, with carefully graded exercises at the end of each chapter.