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Basic Algebraic Geometry 1
Countless math books are published each year, however only a tiny percentage of these titles are destined to become the kind of classics that are loved the world over by students and mathematicians. Please note, this list will constantly be updated so as to keep it current. Review : The seventh edition of Contemporary Abstract Algebra covers the basics of abstract algebra with clarity and a rarely seen brightness. Opting for readability over the rigor many of its contemporaries embrace, this textbook provides an excellent starting point for any student looking to learn and understand the subject. Abundantly filled with exercises, well chosen examples, and even biographies on notable mathematicians, this book makes the perfect companion for both students and teaching assistants. More info.
It seems that you're in Germany. We have a dedicated site for Germany. Algebraic Geometry often seems very abstract, but in fact it is full of concrete examples and problems. This side of the subject can be approached through the equations of a variety, and the syzygies of these equations are a necessary part of the study. This book is the first textbook-level account of basic examples and techniques in this area.
It seems that you're in Germany. We have a dedicated site for Germany. The first edition of this book came out just as the apparatus of algebraic geometry was reaching a stage that permitted a lucid and concise account of the foundations of the subject. The author was no longer forced into the painful choice between sacrificing rigour of exposition or overloading the clear geometrical picture with cumbersome algebraic apparatus. However, as far as I know, no other author has been attracted to the aim which this book set itself: to give an overall view of the many varied aspects of algebraic geometry, without going too far afield into the different theories. There is thus scope for a second edition.
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A Second Course in Algebraic Geometry and Commutative Algebra
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