<p><p>The field of discrete calculus, also known as "discrete exterior calculus", focuses on finding a proper set of definitions and differential operators that make it possible to operate the machinery of multivariate calculus on a finite, discrete space. In contrast to traditional goals of finding
Operator Calculus On Graphs: Theory and Applications in Computer Science
β Scribed by Rene Schott, G. Stacey Staples
- Publisher
- World Scientific Publishing Company
- Year
- 2012
- Tongue
- English
- Leaves
- 428
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
This pioneering book presents a study of the interrelationships among operator calculus, graph theory, and quantum probability in a unified manner, with significant emphasis on symbolic computations and an eye toward applications in computer science.
Presented in this book are new methods, built on the algebraic framework of Clifford algebras, for tackling important real world problems related, but not limited to, wireless communications, neural networks, electrical circuits, transportation, and the world wide web. Examples are put forward in Mathematica throughout the book, together with packages for performing symbolic computations.
β¦ Subjects
ΠΠ°ΡΠ΅ΠΌΠ°ΡΠΈΠΊΠ°;ΠΠΈΡΠΊΡΠ΅ΡΠ½Π°Ρ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΠΊΠ°;Π’Π΅ΠΎΡΠΈΡ Π³ΡΠ°ΡΠΎΠ²;
π SIMILAR VOLUMES
<p><p>The field of discrete calculus, also known as "discrete exterior calculus", focuses on finding a proper set of definitions and differential operators that make it possible to operate the machinery of multivariate calculus on a finite, discrete space. In contrast to traditional goals of finding
<p><span>This unique text brings together into a single framework current research in the three areas of discrete calculus, complex networks, and algorithmic content extraction. Many example applications from several fields of computational science are provided.</span></p>
This outstanding introductory treatment of graph theory and its applications has had a long life in the instruction of advanced undergraduates and graduate students in all areas that require knowledge of this subject. The first nine chapters constitute an excellent overall introduction, requiring on