Algorithmic information theory mathematics of digital. The measure reliability is found to be a universal information measure. Elementary number theory springer undergraduate mathematics series 9783540761976 by jones, gareth a. The mathematical theory of information jan kahre springer. Mathematics ebooks and online journals from springer.
Colligation is a must when the information carries knowledge, or is a base for decisions. Information theory, a mathematical representation of the conditions and parameters affecting the transmission and processing of information. Mathematics books, journals, series, textbooks, reference works, electronic media from springer. Categories for the working mathematician cwm is a textbook in category theory written by american mathematician saunders mac lane, who cofounded the subject together with samuel eilenberg. Naive set theory is a mathematics textbook by paul halmos providing an undergraduate introduction to set theory. Buy information and coding theory springer undergraduate. The books he wrote on mathematical foundations of information theory, statistical mechanics and quantum statistics are still in print in english translations, published by dover. This is so because the core content of mathematics is the same around the world. An introduction to ring theory follows, leading to a discussion of fields and polynomials that includes sections on splitting fields and the construction of finite fields. Undergraduate texts in mathematics utm is a series of undergraduatelevel textbooks in mathematics published by springerverlag. The authors take a build from the ground up approach.
Introduction to axiomatic set theory, gaisi takeuti, wilson m. Reinhard diestel graph theory electronic edition 2000 c springer verlag new york 1997, 2000 this is an electronic version of the second 2000 edition of the above springer book, from their series graduate texts in mathematics, vol. An introduction to ring theory follows, leading to a discussion of. Press question mark to learn the rest of the keyboard shortcuts. This book is intended to be used by children ages 5 to 6. Clearly explaining the necessary mathematical basis, it merges key topics from. Find all the books, read about the author, and more. Buy information and coding theory springer undergraduate mathematics series 2000 by jones, gareth a. Unlike the many excellent formal treatments available for each of these subjects individually, the emphasis in. After a brief discussion of general families of codes, the author discusses linear codes including the hamming, golary, the reedmuller codes, finite fields, and cyclic codes including the bch, reedsolomon, justesen, goppa. It has arisen out of notes for courses given at the secondyear graduate level at the university of minnesota.
Read more about why you should publish an open access book. The book is ideal for a onesemester foundational course on information theory for senior undergraduate and entrylevel graduate students in mathematics, statistics, engineering, and computing and information sciences. The arithmetic of dynamical systems, springer verlag, gtm 241, 2007. The limits of mathematics a course on information theory.
Springerbriefs in mathematics mathematics springer. Springer undergraduate mathematics series issn 16152085 isbn 1852338016 2nd edition springer verlag london berlin heidelberg. Graduate texts in mathematics gtm issn 00725285 is a series of graduate level textbooks in mathematics published by springerverlag. Other than some basic math you need no other background to get started with this book. Elementary number theory springer undergraduate mathematics.
Originally published by van nostrand in 1960, it was reprinted in the springer verlag undergraduate texts in mathematics series in 1974. Springer made a bunch of books available for free, these were the direct links springer freemaths books. This book is aimed at undergraduate mathematics and computer science students interested in developing a feeling for what mathematics is all about. We are the home of such worldclass theorists as paul j.
Coding and information theory steven roman springer. Topics in group theory springer undergraduate mathematics series paperback june 16, 2000 by geoff smith author visit amazons geoff smith page. During the next couple of days, the encyclopedia of mathematics eom will move from springer verlag to ems press, the berlinbased mathematics publisher, owned by the european mathematical society therefore, the server will have to be moved, and the underlying software will be updated. The first comprehensive introduction to information theory, this book places the work begun by shannon and continued by mcmillan, feinstein, and khinchin on a rigorous mathematical basis. Springer ebook collections offer accurate reproductions of high quality springer print book publications, together with all the added benefits of an online environment, including exceptional search capabilities and bookmarks. Unfortuntately the mega link with all the math books doesnt work anymore for some reason, so i didnt finish downloading.
A classical introduction to modern number theory, kenneth ireland michael rosen. Mathematical foundations of information theory dover. Like william feller and richard feynman he combines a complete mastery of his subject with an ability to explain clearly without sacrificing mathematical rigour. Springer undergraduate mathematics series issn 16152085 isbn10. Discrete mathematics is quickly becoming one of the most important areas of mathematical research, with applications to cryptography, linear programming, coding theory and the theory of computing. For the first time, mathematicians, statisticians, physicists, cyberneticists, and communications engineers are offered a lucid, comprehensive introduction to this rapidly growing field. Quantum information theory mathematical foundation. Theory and practice of lesson study in mathematics.
I like very much the treatment of observalbles and measurements. Book for quantum information theory mathematics stack exchange. Home page of joseph silverman department of mathematics. A statistical mechanical interpretation of algorithmic information theory. Categories for the working mathematician wikipedia. Graduate texts in mathematics gtm issn 00725285 is a series of graduatelevel textbooks in mathematics published by springer verlag. Anyone can use this book globally, although the curriculum may differ slightly from one region to the other. The remainder of the book is devoted to coding theory and is independent of the information theory portion of the book. Buy information and coding theory springer undergraduate mathematics series book online at best prices in india on. Mycopy allows library patrons to order their own personal soft cover edition of springer ebooks included in their librarys ebook package. This book presents a succinct and mathematically rigorous treatment of the main. A friendly introduction to number theory, pearson, 1997. This book is intended to introduce coding theory and information theory to undergraduate students of mathematics and computer science. In short, massive amounts of information can now be stored, transmitted and processed, with surprising speed, accuracy and economy.
Topics in group theory springer undergraduate mathematics. A lot of authors try to go straight to information and entropy and then talk about source and code languages. The book contains an additional article by warren weaver, providing an overview of the theory for a more general audience. On these pages you will find springer s journals, books and ebooks in all areas of mathematics, serving researchers, lecturers, students, and professionals. Advanced topics in the arithmetic of elliptic curves, springer verlag, gtm 151, 1995. Gray information systems laboratory electrical engineering department stanford university springer verlag new york c 1990 by springer verlag. Contact one of our publishing editors in your discipline to discuss your proposal. Buy information and coding theory springer undergraduate mathematics series on. The mathematical theory of information supports colligation, i. This is a theory because shannon defined the notion of information entropy, and using probability theory, for instance, he proved the implications about the distribution of the information in a space and the conection wirh topological spaces. Our book and ebook portfolio comprises monographs, textbook series, reference works and conference proceedings. Introduction to coding and information theory steven.
The crossreferences in the text and in the margins are active links. Everyday low prices and free delivery on eligible orders. Stochastic models, information theory, and lie groups, volume. Note that this is a corrected version of the 1st edition of the book and, among other things, can be used to clarify some places of the book where a serious misprint or mistake occurs. Of all the technical areas in which we publish, dover is most recognized for our magnificent mathematics list. Introduction to coding and information theory springer.
Most closely associated with the work of the american electrical engineer claude shannon in the mid20th century, information theory is chiefly of interest to communication engineers, though some of the concepts have been adopted and used in such fields as. Larson problemsolving through problems problems books in mathematics vol 5 springer verlag, 1982 332p ok. After a brief discussion of general families of codes, the author discusses linear codes including the hamming, golary, the reedmuller codes, finite fields, and cyclic codes including the bch, reedsolomon, justesen, goppa, and quadratic residue codes. In such cases, reliability is always a useful information measure. Originally published by van nostrand in 1960, it was reprinted in the springer verlag undergraduate texts in mathematics series in 1974 while the title states that it is naive, which is usually taken to mean without axioms, the book does introduce all the axioms of zfc set theory. Oct 10, 2008 buy information and coding theory springer undergraduate mathematics series 2000 by jones, gareth a. Information and coding theory springer undergraduate. The encyclopedia of mathematics wiki is an open access resource designed specifically for the mathematics community. The books in this series, like the other springerverlag mathematics series. Theory and practice of lesson study in mathematics springer.
The mathematical theory of information the springer international. How variance and invariance can inform teachers enactment of mathematics lessons of this book is available open access under a cc by 4. This carefully written textbook offers a thorough introduction to abstract algebra, covering the fundamentals of groups, rings and fields. Springer has kindly allowed me to place a copy on the web, as a reference and for ease of web searches. Part of the springer undergraduate mathematics series book series sums download book pdf. Digraphs is the first book to present a unified and comprehensive survey of directed graphs. This book provides selfcontained proofs of the existence of ground states of. Our book and ebook portfolio comprises monographs, textbook series, reference works and conference proceedings from the worlds most distinguished authors. An introduction, with marc hindry, springer verlag, gtm 201, 2000. Cohen set theory and the continuum hypothesis, alfred tarski undecidable theories, gary chartrand introductory graph theory, hermann weyl the concept of a riemann surface, shlomo sternberg dynamical systems, and multiple math book works by c. It is an effective tool for learn information theory.
It also features two appendices covering necessary background material in real analysis and in probability theory and stochastic processes. This graduate textbook provides a unified view of quantum information theory. For discrete and finite signals, the law of diminishing information is defined mathematically, using probability theory and matrix algebra. Entropy and information theory first edition, corrected robert m. This book is written for students who are studying nite group representation theory beyond the level of a rst course in abstract algebra. It covers very well hilbert spaces and related notions. An introduction to singleuser information theory fady. Now online version available click on link for pdf file, 544 pages please note. Courtesy to springer verlag, you may now read the first edition of the book free of charge. The law of diminishing information is used as an axiom to derive essential properties of information.
This book treats the mathematics of many important areas in digital information processing. Stochastic models, information theory, and lie groups. Move of the encyclopedia of mathematics from springer verlag to ems press. It was later published in 1949 as a book titled the mathematical theory of communication isbn 0252725468, which was published as a paperback in 1963 isbn 0252725484. Compiled by hemanshu kaul email me with any suggestions omissions broken links selected journal list. An introduction to singleuser information theory springer. The book covers theoretical aspects, including detailed proofs of many important results, algorithms and applications of digraphs. Jones introduction to laplace transforms and fourier series p. This is a theory because shannon defined the notion of information entropy, and using probability theory, for instance, he proved the implications about the distribution of the information in a. Springer made a bunch of books available for free, these were. On these pages you will find springers books and ebooks in the area, serving researchers, professionals, lecturers and. This unique twovolume set presents these topics in a unified setting, thereby building bridges between fields that are rarely studied by the same people.
Other introductory books ive found very useful are the dover books on mathematics introductions series, ive found their graph theory 3 and topology4 books rather concise and clear to read to my knowledge theyre availible at in the collection folkscanomy mathematics 5. Mathematical foundations of information theory dover books. Lecture notes in mathematics springer lecture notes in computer science springer. The books in this series, like the other springer verlag mathematics series, are yellow books of a standard size with variable numbers of pages. This book is an introduction to information and coding theory at the graduate or advanced undergraduate level. The publisher makes no representation, express or implied, with regard to the accuracy of the information contained in this book and cannot accept any legal responsibility or liability for any errors or omissions that may be made. The mathematical theory of information the springer international series in.
I myself started learning quantum information theory with quantum computing by j. Dover is most recognized for our magnificent math books list. The matrixoriented approach to linear algebra leads to a better intuition and a deeper understanding of the abstract concepts, and therefore simplifies their. Of course, these developments do not happen without some theoretical ba sis, and as is so often the case, much of this is provided by mathematics. Coding and information theory graduate texts in mathematics. No, im not trying to write a book about mathematics for mathematicians, im trying to write a book about physics for mathematicians. Additionally, the book presents special topics from applied linear algebra including matrix functions, the singular value decomposition, the kronecker product and linear matrix equations. With more than 8,000 entries, illuminating nearly 50,000 notions in mathematics, the encyclopaedia of. Cohen set theory and the continuum hypothesis, alfred tarski undecidable theories, gary chartrand introductory graph theory, hermann weyl the concept of a riemann surface, shlomo sternberg dynamical systems.
The volumes are carefully written as teaching aids and highlight characteristic features of the theory. Springer made a bunch of books available for free, these. Our book and ebook portfolio comprises monographs, textbook series. Springer has introduced a new ebook service to all academic libraries in the usa and canada that have purchased springer ebook collections. The mathematical theory of information the springer. It was first published in 1971, and is based on his lectures on the subject given at the university of chicago, the australian national university, bowdoin college, and tulane university. Gruska and quantum computation and information theory by nielsenchuang. Although these books are frequently used as textbooks in graduate courses, they are also suitable for individual study. We publish many of the most prestigious journals in mathematics, including a number of fully open access journals.
The applications of digraphs and their generalizations include among other things recent developments in the travelling salesman problem tsp, genetics and network. The article was the founding work of the field of information theory. The original articles are from the online encyclopaedia of mathematics, published by kluwer academic publishers in 2002. The final part contains applications to public key cryptography as well as classical straightedge and compass constructions.
873 1184 18 604 953 704 634 833 1101 912 1081 486 231 1397 1388 1492 1472 1463 1130 1017 891 285 948 1124 964 121 287 991 1252 260 822