WELCOME TO THE LIBRARY!!!
What are you looking for Book "Sheaf Theory Through Examples" ? Click "Read Now PDF" / "Download", Get it for FREE, Register 100% Easily. You can read all your books for as long as a month for FREE and will get the latest Books Notifications. SIGN UP NOW!
eBook Download
BOOK EXCERPT:
An approachable introduction to elementary sheaf theory and its applications beyond pure math. Sheaves are mathematical constructions concerned with passages from local properties to global ones. They have played a fundamental role in the development of many areas of modern mathematics, yet the broad conceptual power of sheaf theory and its wide applicability to areas beyond pure math have only recently begun to be appreciated. Taking an applied category theory perspective, Sheaf Theory through Examples provides an approachable introduction to elementary sheaf theory and examines applications including n-colorings of graphs, satellite data, chess problems, Bayesian networks, self-similar groups, musical performance, complexes, and much more. With an emphasis on developing the theory via a wealth of well-motivated and vividly illustrated examples, Sheaf Theory through Examples supplements the formal development of concepts with philosophical reflections on topology, category theory, and sheaf theory, alongside a selection of advanced topics and examples that illustrate ideas like cellular sheaf cohomology, toposes, and geometric morphisms. Sheaf Theory through Examples seeks to bridge the powerful results of sheaf theory as used by mathematicians and real-world applications, while also supplementing the technical matters with a unique philosophical perspective attuned to the broader development of ideas.
Product Details :
Genre |
: Mathematics |
Author |
: Daniel Rosiak |
Publisher |
: MIT Press |
Release |
: 2022-10-25 |
File |
: 454 Pages |
ISBN-13 |
: 9780262362375 |
eBook Download
BOOK EXCERPT:
Product Details :
Genre |
: Sheaf theory |
Author |
: Glen E. Bredon |
Publisher |
: |
Release |
: 1967 |
File |
: 296 Pages |
ISBN-13 |
: UOM:39015015608865 |
eBook Download
BOOK EXCERPT:
An approachable introduction to elementary sheaf theory and its applications beyond pure math. Sheaves are mathematical constructions concerned with passages from local properties to global ones. They have played a fundamental role in the development of many areas of modern mathematics, yet the broad conceptual power of sheaf theory and its wide applicability to areas beyond pure math have only recently begun to be appreciated. Taking an applied category theory perspective, Sheaf Theory through Examples provides an approachable introduction to elementary sheaf theory and examines applications including n-colorings of graphs, satellite data, chess problems, Bayesian networks, self-similar groups, musical performance, complexes, and much more. With an emphasis on developing the theory via a wealth of well-motivated and vividly illustrated examples, Sheaf Theory through Examples supplements the formal development of concepts with philosophical reflections on topology, category theory, and sheaf theory, alongside a selection of advanced topics and examples that illustrate ideas like cellular sheaf cohomology, toposes, and geometric morphisms. Sheaf Theory through Examples seeks to bridge the powerful results of sheaf theory as used by mathematicians and real-world applications, while also supplementing the technical matters with a unique philosophical perspective attuned to the broader development of ideas.
Product Details :
Genre |
: Mathematics |
Author |
: Daniel Rosiak |
Publisher |
: MIT Press |
Release |
: 2022-10-25 |
File |
: 454 Pages |
ISBN-13 |
: 9780262542159 |
eBook Download
BOOK EXCERPT:
Product Details :
Genre |
: Algebraic topology |
Author |
: Jiří Adámek (ing.) |
Publisher |
: |
Release |
: 1989 |
File |
: 496 Pages |
ISBN-13 |
: UCAL:B4497480 |
eBook Download
BOOK EXCERPT:
Product Details :
Genre |
: Homology theory |
Author |
: Daniel Bert Abrams |
Publisher |
: |
Release |
: 1987 |
File |
: 176 Pages |
ISBN-13 |
: CORNELL:31924050003239 |
eBook Download
BOOK EXCERPT:
Theory and theoreticians have played a major role in computer science. Many insights into the nature of efficient computations were gained and theory was crucial for some of the most celebrated engineering triumphs of computer science (e.g., in compiler design, databases, multitask operating systems, to name just a few). Theoretical computer science (TCS) functions as a communication bridge between computer science and other subjects, notably, mathematics, linguistics, biology; it is a champion in developing unconventional models of computation (DNA, quantum). This book collects personal accounts and reflections of fourteen eminent scientists who have dedicated themselves to the craft of TCS. Contributions focus on authors specific interests, experiences, and reminiscences. The emerging picture, which is just one among other possible ones, should be a catalyst for further developments and continuations. Was most interested to learn about the project, which should be a worthwhile one." N. Chomsky, MIT. "The human story of creativity is inspiring and documents a very noble activity - the creation of knowledge in its most beautiful and useful form - the creation of a science. Supplying the technical and intellectual tools to probe some of the most fascinating questions about the nature of thought and intelligence, theoretical computer science is trying to grasp the limits of rational thought, the limits of knowable. This book will contribute to the understanding of the creation of a magnificent science." J. Hartmanis, NSF. "This is obviously an extremely worthwhile project." D. E. Knuth, Stanford University.
Product Details :
Genre |
: Computers |
Author |
: Cristian Calude |
Publisher |
: Springer Verlag Singapour |
Release |
: 1999 |
File |
: 368 Pages |
ISBN-13 |
: UOM:39015043820334 |
eBook Download
BOOK EXCERPT:
Includes articles, as well as notes and other features, about mathematics and the profession.
Product Details :
Genre |
: Mathematicians |
Author |
: |
Publisher |
: |
Release |
: 1981 |
File |
: 480 Pages |
ISBN-13 |
: UCAL:B3632264 |
eBook Download
BOOK EXCERPT:
Product Details :
Genre |
: Juvenile Nonfiction |
Author |
: Robert C. Gunning |
Publisher |
: Chapman and Hall/CRC |
Release |
: 1990-08-02 |
File |
: 232 Pages |
ISBN-13 |
: UOM:39015018475262 |
eBook Download
BOOK EXCERPT:
Product Details :
Genre |
: Semantics |
Author |
: Joseph Goguen |
Publisher |
: |
Release |
: 1991 |
File |
: 36 Pages |
ISBN-13 |
: STANFORD:36105019741458 |
eBook Download
BOOK EXCERPT:
Product Details :
Genre |
: Numerical analysis |
Author |
: |
Publisher |
: |
Release |
: 1998 |
File |
: 602 Pages |
ISBN-13 |
: UOM:39015049324273 |