Initially, my goal was once to put in writing a "History of Algebra", in or 3 volumes. In getting ready the 1st quantity I observed that during historical civiliza­ tions geometry and algebra can't good be separated: progressively more sec­ tions on historic geometry have been extra. for this reason the hot name of the booklet: "Geometry and Algebra in historic Civilizations". A next quantity at the heritage of modem algebra is in instruction. it is going to deal commonly with box concept, Galois conception and conception of teams. i need to precise my deeply felt gratitude to all those that helped me in shaping this quantity. particularly, i need to thank Donald Blackmore Wagner (Berkeley) who positioned at my disposal his English translation of the main attention-grabbing elements of the chinese language "Nine Chapters of the artwork of Arith­ metic" and of Liu Hui's remark to this vintage, and likewise Jacques Se­ siano (Geneva), who kindly allowed me to take advantage of his translation of the re­ cently stumbled on Arabic textual content of 4 books of Diophantos now not extant in Greek. hot thank you also are as a result of Wyllis Bandler (Colchester, England) who learn my English textual content very rigorously and instructed a number of enhance­ ments, and to Annemarie Fellmann (Frankfurt) and Erwin Neuenschwan­ der (Zurich) who helped me in correcting the evidence sheets. omit Fellmann additionally typed the manuscript and drew the figures. I additionally are looking to thank the editorial employees and construction division of Springer-Verlag for his or her great cooperation.

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