Kategoria BISAC: Mathematics >> Geometry - Algebraic

From the reviews: "This is a great book, which will hopefully become a classic in the subject of differential Galois theory. ...] the specialist, as well as the novice, have long been missing an introductory book covering also specific and advanced research topics. This gap is filled by the volume under review, and more than satisfactorily." Mathematical Reviews

The application of geometric algebra to the engineering sciences is a young, active subject of research. The promise of this field is that the mathematical structure of geometric algebra together with its descriptive power will result in intuitive and more robust algorithms.

This book examines all aspects essential for a successful application of geometric algebra: the theoretical foundations, the representation of geometric constraints, and the numerical estimation from uncertain data. Formally, the book consists of two parts: theoretical foundations and applications. The first...

Oscar Zariski s work in mathematics permanently altered the foundations of algebraic geometry. The powerful tools he forged from the ideas of modern algebra allowed him to penetrate classical problems with an unaccustomed depth, and brought new rigor to the intuitive proofs of the Italian School. The students he trained at Hopkins, and later at Harvard, are among the foremost mathematicians of our time.

While what he called his real life is recorded in almost a hundred books and papers, this story of his unreal life is based upon Parikh s interviews with his family, colleagues, and...

"The book is largely self-contained...There is a nice introduction to symplectic geometry and a charming exposition of equivariant K-theory. Both are enlivened by examples related to groups...An attractive feature is the attempt to convey some informal 'wisdom' rather than only the precise definitions. As a number of results are] due to the authors, one finds some of the original excitement. This is the only available introduction to geometric representation theory...it has already proved successful in introducing a new generation to the subject." (Bulletin of the AMS)

The impact and influence of J.-P. Serres work have been notable ever since his doctoral thesis on homotopy groups. The abundance of findings and deep insights found in his research and survey papers ranging from topology, several complex variables, and algebraic geometry to number theory, group theory, commutative algebra and modular forms, continues to provide inspiring reading for mathematicians working in these areas, in their research and their teaching.

Characteristic of Serres publications are the many open questions he formulates pointing to further directions for research. In...