{"title":"Number theory in science and communication - with applications in cryptography, physics, digital information, computing, and self-similarity, 4th Edition","authors":"M. Schroeder","doi":"10.5860/choice.35-2768","DOIUrl":"https://doi.org/10.5860/choice.35-2768","url":null,"abstract":"\"Number Theory in Science and Communication\" is a well-known introduction for non-mathematicians to this fascinating and useful branch of applied mathematics . It stresses intuitive understanding rather than abstract theory and highlights important concepts such as continued fractions, the golden ratio, quadratic residues and Chinese remainders, trapdoor functions, pseudo primes and primitive elements. Their applications to problems in the real world are one of the main themes of the book. This revised fifth edition is augmented by recent advances in coding theory, permutations and derangements and a chapter in quantum cryptography. From reviews of earlier editions \"I continue to find [Schroeders] Number Theory a goldmine of valuable information. It is a marvelous book, in touch with the most recent applications of number theory and written with great clarity and humor. Philip Morrison (Scientific American) \"A light-hearted and readable volume with a wide range of applications to which the author has been a productive contributor useful mathematics outside the formalities of theorem and proof.\" Martin Gardner","PeriodicalId":173976,"journal":{"name":"Springer Series in Information Sciences","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2008-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129119899","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Self-Organizing Maps","authors":"T. Kohonen","doi":"10.1007/978-3-642-97610-0","DOIUrl":"https://doi.org/10.1007/978-3-642-97610-0","url":null,"abstract":"","PeriodicalId":173976,"journal":{"name":"Springer Series in Information Sciences","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1995-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127824575","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Self-Organization and Associative Memory, Second Edition","authors":"T. Kohonen","doi":"10.1007/978-3-662-00784-6","DOIUrl":"https://doi.org/10.1007/978-3-662-00784-6","url":null,"abstract":"","PeriodicalId":173976,"journal":{"name":"Springer Series in Information Sciences","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123749922","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Self-Organizing Maps, Second Edition","authors":"T. Kohonen","doi":"10.1007/978-3-642-97966-8","DOIUrl":"https://doi.org/10.1007/978-3-642-97966-8","url":null,"abstract":"","PeriodicalId":173976,"journal":{"name":"Springer Series in Information Sciences","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131443178","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Parallel algorithms in computational science","authors":"D. Heermann, A. Burkitt","doi":"10.5860/choice.29-0941","DOIUrl":"https://doi.org/10.5860/choice.29-0941","url":null,"abstract":"The authors present techniques and algorithms in computational science that have been developed for parallel computers. The numerical methods that have evolved in recent years to investigate problems in physics, mathematics, chemistry and biology by means of computer simulations are now being extended to make use of the opportunities opened up by the development of parallel computers. To utilize this potentially vast increase in computer power, it is necessary to devise algorithms that are appropriate to the particular problem being investigated. This volume combines a detailed consideration of the computer architecture (hardware and software feature as well as inter-processor communication schemes) with an understanding of the physical system being studied. These two aspects together make it possible to develop techniques that make optimum use of the available parallelism. Attention is focused on the Monte Carlo and molecular dynamics methods, and the techniques and algorithms are illustrated with examples from the statistical mechanics of spin systems, polymers and other many-particle systems.","PeriodicalId":173976,"journal":{"name":"Springer Series in Information Sciences","volume":"35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114280419","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Self-Organization and Associative Memory, Third Edition","authors":"T. Kohonen","doi":"10.1007/978-3-642-88163-3","DOIUrl":"https://doi.org/10.1007/978-3-642-88163-3","url":null,"abstract":"","PeriodicalId":173976,"journal":{"name":"Springer Series in Information Sciences","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114341990","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Linear systems and optimal control","authors":"C. Chui, Guanrong Chen","doi":"10.1007/978-3-642-61312-8","DOIUrl":"https://doi.org/10.1007/978-3-642-61312-8","url":null,"abstract":"","PeriodicalId":173976,"journal":{"name":"Springer Series in Information Sciences","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121388501","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}