Handbook of Number Theory II

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Publisher : Springer Science & Business Media
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Language : EN, FR, GB
ISBN 10 : 9781402025464
Pages : 637 pages
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Summary Book Review Handbook of Number Theory II :

Download or read book Handbook of Number Theory II written by Dragoslav S. Mitrinović and published by Springer Science & Business Media. This book was released on 2004 with total page 637 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook focuses on some important topics from Number Theory and Discrete Mathematics. These include the sum of divisors function with the many old and new issues on Perfect numbers; Euler's totient and its many facets; the Möbius function along with its generalizations, extensions, and applications; the arithmetic functions related to the divisors or the digits of a number; the Stirling, Bell, Bernoulli, Euler and Eulerian numbers, with connections to various fields of pure or applied mathematics. Each chapter is a survey and can be viewed as an encyclopedia of the considered field, underlining the interconnections of Number Theory with Combinatorics, Numerical mathematics, Algebra, or Probability Theory. This reference work will be useful to specialists in number theory and discrete mathematics as well as mathematicians or scientists who need access to some of these results in other fields of research.

Handbook of Number Theory I

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Publisher : Springer Science & Business Media
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Language : EN, FR, GB
ISBN 10 : 9781402042157
Pages : 639 pages
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Summary Book Review Handbook of Number Theory I :

Download or read book Handbook of Number Theory I written by József Sándor and published by Springer Science & Business Media. This book was released on 2005-11-17 with total page 639 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook covers a wealth of topics from number theory, special attention being given to estimates and inequalities. As a rule, the most important results are presented, together with their refinements, extensions or generalisations. These may be applied to other aspects of number theory, or to a wide range of mathematical disciplines. Cross-references provide new insight into fundamental research. Audience: This is an indispensable reference work for specialists in number theory and other mathematicians who need access to some of these results in their own fields of research.

Combinatorics and Number Theory of Counting Sequences

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Publisher : CRC Press
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ISBN 10 : 9781351346382
Pages : 480 pages
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Rating : 4.3/5 (513 users download)


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Summary Book Review Combinatorics and Number Theory of Counting Sequences :

Download or read book Combinatorics and Number Theory of Counting Sequences written by Istvan Mezo and published by CRC Press. This book was released on 2019-08-19 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combinatorics and Number Theory of Counting Sequences is an introduction to the theory of finite set partitions and to the enumeration of cycle decompositions of permutations. The presentation prioritizes elementary enumerative proofs. Therefore, parts of the book are designed so that even those high school students and teachers who are interested in combinatorics can have the benefit of them. Still, the book collects vast, up-to-date information for many counting sequences (especially, related to set partitions and permutations), so it is a must-have piece for those mathematicians who do research on enumerative combinatorics. In addition, the book contains number theoretical results on counting sequences of set partitions and permutations, so number theorists who would like to see nice applications of their area of interest in combinatorics will enjoy the book, too. Features The Outlook sections at the end of each chapter guide the reader towards topics not covered in the book, and many of the Outlook items point towards new research problems. An extensive bibliography and tables at the end make the book usable as a standard reference. Citations to results which were scattered in the literature now become easy, because huge parts of the book (especially in parts II and III) appear in book form for the first time.

Circuits and Systems for Security and Privacy

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Publisher : CRC Press
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ISBN 10 : 9781482236897
Pages : 382 pages
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Summary Book Review Circuits and Systems for Security and Privacy :

Download or read book Circuits and Systems for Security and Privacy written by Farhana Sheikh and published by CRC Press. This book was released on 2016-05-25 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: Circuits and Systems for Security and Privacy begins by introducing the basic theoretical concepts and arithmetic used in algorithms for security and cryptography, and by reviewing the fundamental building blocks of cryptographic systems. It then analyzes the advantages and disadvantages of real-world implementations that not only optimize power, area, and throughput but also resist side-channel attacks. Merging the perspectives of experts from industry and academia, the book provides valuable insight and necessary background for the design of security-aware circuits and systems as well as efficient accelerators used in security applications.

Advances in Ultrametric Analysis

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Publisher : American Mathematical Soc.
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ISBN 10 : 9780821891421
Pages : 291 pages
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Rating : 4.8/5 (218 users download)


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Summary Book Review Advances in Ultrametric Analysis :

Download or read book Advances in Ultrametric Analysis written by Khodr Shamseddine and published by American Mathematical Soc.. This book was released on 2013 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains papers based on lectures given at the 12th International Conference on p-adic Functional Analysis, which was held at the University of Manitoba on July 2-6, 2012. The articles included in this book feature recent developments in various areas of non-archimedean analysis: branched values and zeros of the derivative of a $p$-adic meromorphic function, p-adic meromorphic functions $f^{\prime}P^{\prime}(f), g^{\prime}P^{\prime}(g)$ sharing a small function, properties of composition of analytic functions, partial fractional differentiability, morphisms between ultrametric Banach algebras of continuous functions and maximal ideals of finite dimension, the $p$-adic $q$-distributions, Banach spaces over fields with an infinite rank valuation, Grobman-Hartman theorems for diffeomorphisms of Banach spaces over valued fields, integral representations of continuous linear maps on $p$-adic spaces of continuous functions, non-Archimedean operator algebras, generalized Keller spaces over valued fields, proper multiplications on the completion of a totally ordered abelian group, the Grothendieck approximation theory in non-Archimedean functional analysis, generalized power series spaces, measure theory and the study of power series and analytic functions on the Levi-Civita fileds. Through a combination of new research articles and survey papers, this book provides the reader with an overview of current developments and techniques in non-archimedean analysis as well as a broad knowledge of some of the sub-areas of this exciting and fast-developing research area.

Handbook of Homotopy Theory

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Publisher : CRC Press
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ISBN 10 : 9781351251617
Pages : 982 pages
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Summary Book Review Handbook of Homotopy Theory :

Download or read book Handbook of Homotopy Theory written by Haynes Miller and published by CRC Press. This book was released on 2020-01-23 with total page 982 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Homotopy Theory provides a panoramic view of an active area in mathematics that is currently seeing dramatic solutions to long-standing open problems, and is proving itself of increasing importance across many other mathematical disciplines. The origins of the subject date back to work of Henri Poincaré and Heinz Hopf in the early 20th century, but it has seen enormous progress in the 21st century. A highlight of this volume is an introduction to and diverse applications of the newly established foundational theory of ¥ -categories. The coverage is vast, ranging from axiomatic to applied, from foundational to computational, and includes surveys of applications both geometric and algebraic. The contributors are among the most active and creative researchers in the field. The 22 chapters by 31 contributors are designed to address novices, as well as established mathematicians, interested in learning the state of the art in this field, whose methods are of increasing importance in many other areas.

Handbook of Formal Languages

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Publisher : Springer Science & Business Media
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Language : EN, FR, GB
ISBN 10 : 9783642591365
Pages : 873 pages
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Rating : 4.6/5 (425 users download)


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Summary Book Review Handbook of Formal Languages :

Download or read book Handbook of Formal Languages written by Grzegorz Rozenberg and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 873 pages. Available in PDF, EPUB and Kindle. Book excerpt: This uniquely authoritative and comprehensive handbook is the first to cover the vast field of formal languages, as well as its traditional and most recent applications to such diverse areas as linguistics, developmental biology, computer graphics, cryptology, molecular genetics, and programming languages. No other work comes even close to the scope of this one. The editors are extremely well-known theoretical computer scientists, and each individual topic is presented by the leading authorities in the particular field. The maturity of the field makes it possible to include a historical perspective in many presentations. The work is divided into three volumes, which may be purchased as a set.

Mathematics Without Boundaries

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Publisher : Springer
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ISBN 10 : 9781493911066
Pages : 781 pages
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Rating : 4.4/5 (939 users download)


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Summary Book Review Mathematics Without Boundaries :

Download or read book Mathematics Without Boundaries written by Themistocles M. Rassias and published by Springer. This book was released on 2014-09-17 with total page 781 pages. Available in PDF, EPUB and Kindle. Book excerpt: The contributions in this volume have been written by eminent scientists from the international mathematical community and present significant advances in several theories, methods and problems of Mathematical Analysis, Discrete Mathematics, Geometry and their Applications. The chapters focus on both old and recent developments in Functional Analysis, Harmonic Analysis, Complex Analysis, Operator Theory, Combinatorics, Functional Equations, Differential Equations as well as a variety of Applications. The book also contains some review works, which could prove particularly useful for a broader audience of readers in Mathematical Sciences, and especially to graduate students looking for the latest information.

Not Always Buried Deep

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Publisher : American Mathematical Soc.
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ISBN 10 : 9780821848807
Pages : 303 pages
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Summary Book Review Not Always Buried Deep :

Download or read book Not Always Buried Deep written by Paul Pollack and published by American Mathematical Soc.. This book was released on 2009-10-14 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: Number theory is one of the few areas of mathematics where problems of substantial interest can be fully described to someone with minimal mathematical background. Solving such problems sometimes requires difficult and deep methods. But this is not a universal phenomenon; many engaging problems can be successfully attacked with little more than one's mathematical bare hands. In this case one says that the problem can be solved in an elementary way. Such elementary methods and the problems to which they apply are the subject of this book. Not Always Buried Deep is designed to be read and enjoyed by those who wish to explore elementary methods in modern number theory. The heart of the book is a thorough introduction to elementary prime number theory, including Dirichlet's theorem on primes in arithmetic progressions, the Brun sieve, and the Erdos-Selberg proof of the prime number theorem. Rather than trying to present a comprehensive treatise, Pollack focuses on topics that are particularly attractive and accessible. Other topics covered include Gauss's theory of cyclotomy and its applications to rational reciprocity laws, Hilbert's solution to Waring's problem, and modern work on perfect numbers. The nature of the material means that little is required in terms of prerequisites: The reader is expected to have prior familiarity with number theory at the level of an undergraduate course and a first course in modern algebra (covering groups, rings, and fields). The exposition is complemented by over 200 exercises and 400 references.

Handbook of Combinatorics

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Publisher : Elsevier
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ISBN 10 : 9780080933849
Pages : 1018 pages
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Rating : 4.0/5 (89 users download)


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Summary Book Review Handbook of Combinatorics :

Download or read book Handbook of Combinatorics written by R.L. Graham and published by Elsevier. This book was released on 1995-12-11 with total page 1018 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Combinatorics

Handbook of Combinatorics

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Publisher : Elsevier
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ISBN 10 : 9780080933351
Pages : 1120 pages
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Summary Book Review Handbook of Combinatorics :

Download or read book Handbook of Combinatorics written by Gerard Meurant and published by Elsevier. This book was released on 1995-12-11 with total page 1120 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Combinatorics, Volume 1 focuses on basic methods, paradigms, results, issues, and trends across the broad spectrum of combinatorics. The selection first elaborates on the basic graph theory, connectivity and network flows, and matchings and extensions. Discussions focus on stable sets and claw free graphs, nonbipartite matching, multicommodity flows and disjoint paths, minimum cost circulations and flows, special proof techniques for paths and circuits, and Hamilton paths and circuits in digraphs. The manuscript then examines coloring, stable sets, and perfect graphs and embeddings and minors. The book takes a look at random graphs, hypergraphs, partially ordered sets, and matroids. Topics include geometric lattices, structural properties, linear extensions and correlation, dimension and posets of bounded degree, hypergraphs and set systems, stability, transversals, and matchings, and phase transition. The manuscript also reviews the combinatorial number theory, point lattices, convex polytopes and related complexes, and extremal problems in combinatorial geometry. The selection is a valuable reference for researchers interested in combinatorics.

Integers

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Publisher : Walter de Gruyter GmbH & Co KG
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ISBN 10 : 9783110369328
Pages : 1091 pages
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Rating : 4.1/5 (13 users download)


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Summary Book Review Integers :

Download or read book Integers written by Bruce Landman and published by Walter de Gruyter GmbH & Co KG. This book was released on 2014-08-22 with total page 1091 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Integers" is a refereedonline journal devoted to research in the area of combinatorial number theory. It publishes original research articles in combinatorics and number theory. Topics covered by the journal include additive number theory, multiplicative number theory, sequences and sets, extremal combinatorics, Ramsey theory, elementary number theory, classical combinatorial problems, hypergraphs, and probabilistic number theory. Integers also houses a combinatorial games section. This work presents all papers of the 2013 volume in book form.

Handbook of Algebra

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Publisher : Elsevier
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ISBN 10 : 0080532969
Pages : 896 pages
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Rating : 4.5/5 (329 users download)


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Summary Book Review Handbook of Algebra :

Download or read book Handbook of Algebra written by M. Hazewinkel and published by Elsevier. This book was released on 2000-04-06 with total page 896 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Algebra

Matrices, Statistics and Big Data

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Publisher : Springer
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ISBN 10 : 9783030175191
Pages : 190 pages
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Summary Book Review Matrices, Statistics and Big Data :

Download or read book Matrices, Statistics and Big Data written by S. Ejaz Ahmed and published by Springer. This book was released on 2019-08-02 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume features selected, refereed papers on various aspects of statistics, matrix theory and its applications to statistics, as well as related numerical linear algebra topics and numerical solution methods, which are relevant for problems arising in statistics and in big data. The contributions were originally presented at the 25th International Workshop on Matrices and Statistics (IWMS 2016), held in Funchal (Madeira), Portugal on June 6-9, 2016. The IWMS workshop series brings together statisticians, computer scientists, data scientists and mathematicians, helping them better understand each other’s tools, and fostering new collaborations at the interface of matrix theory and statistics.

Handbook of Tilting Theory

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Publisher : Cambridge University Press
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ISBN 10 : 052168045X
Pages : 482 pages
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Rating : 4.6/5 (84 users download)


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Summary Book Review Handbook of Tilting Theory :

Download or read book Handbook of Tilting Theory written by Lidia Angeleri Hügel and published by Cambridge University Press. This book was released on 2007-01-04 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: A handbook of key articles providing both an introduction and reference for newcomers and experts alike.

Formal Languages and Applications

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Publisher : Springer
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ISBN 10 : 9783540398868
Pages : 620 pages
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Rating : 4.5/5 (43 users download)


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Summary Book Review Formal Languages and Applications :

Download or read book Formal Languages and Applications written by Carlos Martin-Vide and published by Springer. This book was released on 2013-03-09 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: Formal Languages and Applications provides a comprehensive study-aid and self-tutorial for graduates students and researchers. The main results and techniques are presented in an readily accessible manner and accompanied by many references and directions for further research. This carefully edited monograph is intended to be the gateway to formal language theory and its applications, so it is very useful as a review and reference source of information in formal language theory.

Number Theory

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Publisher : Courier Corporation
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ISBN 10 : 9780486682525
Pages : 292 pages
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Rating : 4.4/5 (866 users download)


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Summary Book Review Number Theory :

Download or read book Number Theory written by George E. Andrews and published by Courier Corporation. This book was released on 1994-10-12 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by a distinguished mathematician and teacher, this undergraduate text uses a combinatorial approach to accommodate both math majors and liberal arts students. In addition to covering the basics of number theory, it offers an outstanding introduction to partitions, plus chapters on multiplicativity-divisibility, quadratic congruences, additivity, and more.