Multiplicative Invariant Fields of Dimension $leq 6$ - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Multiplicative Invariant Fields of Dimension $leq 6$ write by Akinari Hoshi. This book was released on 2023-03-09. Multiplicative Invariant Fields of Dimension $leq 6$ available in PDF, EPUB and Kindle. View the abstract.
Algebraic Complexity Theory
Algebraic Complexity Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebraic Complexity Theory write by Peter Bürgisser. This book was released on 2013-03-14. Algebraic Complexity Theory available in PDF, EPUB and Kindle. The algorithmic solution of problems has always been one of the major concerns of mathematics. For a long time such solutions were based on an intuitive notion of algorithm. It is only in this century that metamathematical problems have led to the intensive search for a precise and sufficiently general formalization of the notions of computability and algorithm. In the 1930s, a number of quite different concepts for this purpose were pro posed, such as Turing machines, WHILE-programs, recursive functions, Markov algorithms, and Thue systems. All these concepts turned out to be equivalent, a fact summarized in Church's thesis, which says that the resulting definitions form an adequate formalization of the intuitive notion of computability. This had and continues to have an enormous effect. First of all, with these notions it has been possible to prove that various problems are algorithmically unsolvable. Among of group these undecidable problems are the halting problem, the word problem theory, the Post correspondence problem, and Hilbert's tenth problem. Secondly, concepts like Turing machines and WHILE-programs had a strong influence on the development of the first computers and programming languages. In the era of digital computers, the question of finding efficient solutions to algorithmically solvable problems has become increasingly important. In addition, the fact that some problems can be solved very efficiently, while others seem to defy all attempts to find an efficient solution, has called for a deeper under standing of the intrinsic computational difficulty of problems.
H Ring Spectra and Their Applications
H Ring Spectra and Their Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook H Ring Spectra and Their Applications write by Robert R. Bruner. This book was released on 2006-11-14. H Ring Spectra and Their Applications available in PDF, EPUB and Kindle.
Systolic Geometry and Topology
Systolic Geometry and Topology - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Systolic Geometry and Topology write by Mikhail Gersh Katz. This book was released on 2007. Systolic Geometry and Topology available in PDF, EPUB and Kindle. The systole of a compact metric space $X$ is a metric invariant of $X$, defined as the least length of a noncontractible loop in $X$. When $X$ is a graph, the invariant is usually referred to as the girth, ever since the 1947 article by W. Tutte. The first nontrivial results for systoles of surfaces are the two classical inequalities of C. Loewner and P. Pu, relying on integral-geometric identities, in the case of the two-dimensional torus and real projective plane, respectively. Currently, systolic geometry is a rapidly developing field, which studies systolic invariants in their relation to other geometric invariants of a manifold. This book presents the systolic geometry of manifolds and polyhedra, starting with the two classical inequalities, and then proceeding to recent results, including a proof of M. Gromov's filling area conjecture in a hyperelliptic setting. It then presents Gromov's inequalities and their generalisations, as well as asymptotic phenomena for systoles of surfaces of large genus, revealing a link both to ergodic theory and to properties of congruence subgroups of arithmetic groups. The author includes results on the systolic manifestations of Massey products, as well as of the classical Lusternik-Schnirelmann category.
Pure and Applied Mathematics
Pure and Applied Mathematics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Pure and Applied Mathematics write by Ellis Robert Kolchin. This book was released on 1985. Pure and Applied Mathematics available in PDF, EPUB and Kindle.
