Course in Real Algebraic Geometry

Discover the intricacies of real algebraic geometry with Course in Real Algebraic Geometry by Claus Scheiderer. This comprehensive textbook, published by Springer International Publishing AG in 2024, is tailored for a one-year graduate course, making it an essential resource for advanced students and researchers alike.

Spanning 404 pages, this edition delves into the critical concepts of positivity and sums of squares of polynomials. The first half of the book offers a robust introduction to ordered fields and real closed fields, featuring key topics such as the Tarski–Seidenberg projection theorem and the transfer principle. With its clear explanations and structured approach, this textbook serves as an invaluable guide for anyone looking to deepen their understanding of real algebraic geometry.

Enhance your mathematical journey and explore the foundational principles that underpin this fascinating field with Scheiderer's expert insights.