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Author : Anonim
Publisher : Unknown
Page : 490 pages
File Size : 47,7 Mb
Release : 1853
Category : Electronic
ISBN : IBNN:BNVA001712687
Author : Isaac Todhunter
Publisher : Unknown
Page : 348 pages
File Size : 43,8 Mb
Release : 1880
Category : Algebra
ISBN : HARVARD:32044102786209
Author : Hubie Chen
Publisher : MIT Press
Page : 413 pages
File Size : 46,8 Mb
Release : 2023-08-29
Category : Computers
ISBN : 9780262048620
A clear, comprehensive, and rigorous introduction to the theory of computation. What is computable? What leads to efficiency in computation? Computability and Complexity offers a clear, comprehensive, and rigorous introduction to the mathematical study of the capabilities and limitations of computation. Hubie Chen covers the core notions, techniques, methods, and questions of the theory of computation before turning to several advanced topics. Emphasizing intuitive learning and conceptual discussion, this textbook’s accessible approach offers a robust foundation for understanding both the reach and restrictions of algorithms and computers. Extensive exercises and diagrams enhance streamlined, student-friendly presentation of mathematically rigorous material Includes thorough treatment of automata theory, computability theory, and complexity theory—including the P versus NP question and the theory of NP-completeness Suitable for undergraduate and graduate students, researchers, and professionals
Author : Nick Fieller
Publisher : CRC Press
Page : 159 pages
File Size : 46,8 Mb
Release : 2018-09-03
Category : Mathematics
ISBN : 9781315360058
A Thorough Guide to Elementary Matrix Algebra and Implementation in R Basics of Matrix Algebra for Statistics with R provides a guide to elementary matrix algebra sufficient for undertaking specialized courses, such as multivariate data analysis and linear models. It also covers advanced topics, such as generalized inverses of singular and rectangular matrices and manipulation of partitioned matrices, for those who want to delve deeper into the subject. The book introduces the definition of a matrix and the basic rules of addition, subtraction, multiplication, and inversion. Later topics include determinants, calculation of eigenvectors and eigenvalues, and differentiation of linear and quadratic forms with respect to vectors. The text explores how these concepts arise in statistical techniques, including principal component analysis, canonical correlation analysis, and linear modeling. In addition to the algebraic manipulation of matrices, the book presents numerical examples that illustrate how to perform calculations by hand and using R. Many theoretical and numerical exercises of varying levels of difficulty aid readers in assessing their knowledge of the material. Outline solutions at the back of the book enable readers to verify the techniques required and obtain numerical answers. Avoiding vector spaces and other advanced mathematics, this book shows how to manipulate matrices and perform numerical calculations in R. It prepares readers for higher-level and specialized studies in statistics.
Author : L. Rédei
Publisher : Elsevier
Page : 832 pages
File Size : 51,7 Mb
Release : 2014-07-21
Category : Mathematics
ISBN : 9781483222646
Compared with the original German edition this volume contains the results of more recent research which have to some extent originated from problems raised in the previous German edition. Moreover, many minor and some important modifications have been carried out. For example paragraphs 2 — 5 were amended and their order changed. On the advice of G. Pickert, paragraph 7 has been thoroughly revised. Many improvements originate from H. J. Weinert who, by enlisting the services of a working team of the Teachers' Training College of Potsdam, has subjected large parts of this book to an exact and constructive review. This applies particularly to paragraphs 9, 50, 51, 60, 63, 66, 79, 92, 94, 97 and 100 and to the exercises. In this connection paragraphs 64 and 79 have had to be partly rewritten in consequence of the correction
Author : V. Venkateswara Rao, N. Krishnamurthy, B.V.S.S. Sarma
S. Anjaneya Sastry, S. Ranganatham & R. Bharavi Sharma
Publisher : S. Chand Publishing
Page : 128 pages
File Size : 40,8 Mb
Release : 2024-06-01
Category : Science
ISBN : 9789352832507
A Textbook of B.Sc. Mathematics Abstract Algebra
Author : United States Naval Academy
Publisher : Unknown
Page : 314 pages
File Size : 53,6 Mb
Release : 1949
Category : Electronic
ISBN : OSU:32435062854252
Author : Luigi Cremona
Publisher : Unknown
Page : 246 pages
File Size : 51,6 Mb
Release : 1890
Category : Geometry
ISBN : WISC:89080441470
Author : Huanyin Chen,Marjan Sheibani Abdolyousefi
Publisher : World Scientific
Page : 693 pages
File Size : 54,9 Mb
Release : 2022-08-30
Category : Mathematics
ISBN : 9789811260148
This is the first monograph devoted to clean ring and matrix theory. It aims to study a theory of expressing an element in a ring as the sum of some special ones, such as idempotents, units, nilpotents, tripotents, involutions, etc. A matrix over such rings is thereby expressed as the sum of some special matrices. Also another topics on the behaviors of topological properties and *-properties of such rings are investigated.The book is based on the results of various published papers, particularly, by the authors'. It is accessible for students familiar with general abstract algebra, while the topics are interesting for researchers in the field of ring, matrix and operator theory.
Author : Michel J.F. Digonnet
Publisher : CRC Press
Page : 798 pages
File Size : 46,9 Mb
Release : 2001-05-31
Category : Technology & Engineering
ISBN : 9780203904657
Rare-Earth-Doped Fiber Lasers and Amplifiers, Second Edition discusses the essential principles, operating characteristics, and current technology of the main fiber laser and amplifier devices based on rare-earth-doped silica and fluorozirconate fibers. Covering all aspects of this revolutionary technology, the book reviews fiber fabrication methods and the basic spectroscopic properties of rare-earth ions in glasses, concentrates on the most important fiber laser sources, examines several advances in fiber amplifiers, and analyzes new findings and improvements in single-frequency operation, frequency tenability, broadband fiber sources, and blue-green and far-infrared fiber lasers.
Author : John Walker
Publisher : Unknown
Page : 938 pages
File Size : 54,7 Mb
Release : 1874
Category : English language
ISBN : UOM:39015012839620
Author : N. Pytheas Fogg
Publisher : Springer
Page : 404 pages
File Size : 51,9 Mb
Release : 2003-10-24
Category : Mathematics
ISBN : 9783540457145
A certain category of infinite strings of letters on a finite alphabet is presented here, chosen among the 'simplest' possible one may build, both because they are very deterministic and because they are built by simple rules (a letter is replaced by a word, a sequence is produced by iteration). These substitutive sequences have a surprisingly rich structure. The authors describe the concepts of quantity of natural interactions, with combinatorics on words, ergodic theory, linear algebra, spectral theory, geometry of tilings, theoretical computer science, diophantine approximation, trancendence, graph theory. This volume fulfils the need for a reference on the basic definitions and theorems, as well as for a state-of-the-art survey of the more difficult and unsolved problems.
Author : John Longmiur
Publisher : Unknown
Page : 702 pages
File Size : 51,7 Mb
Release : 1873
Category : Electronic
ISBN : OXFORD:600083333
Author : James Hamblin Smith
Publisher : Unknown
Page : 272 pages
File Size : 49,8 Mb
Release : 1880
Category : Geometry
ISBN : OXFORD:590919701
Author : Jasmin Blanchette,Laura Kovács,Dirk Pattinson
Publisher : Springer Nature
Page : 756 pages
File Size : 41,9 Mb
Release : 2022
Category : Automatic theorem proving
ISBN : 9783031107696
This is an open access book. It is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.