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Call number: | 9783662497258:ONLINE Show nearby items on shelf |
Title: | Quantum Information Theory Mathematical Foundation |
Author(s): |
Masahito Hayashi |
Date: | 2017 |
Edition: | 2nd ed. 2017 |
Size: | 1 online resource (XLIII, 636 p. 24 illus., 1 illus. in color p.) |
Contents: | Invitation to Quantum Information Theory -- History of Quantum Information Theory -- The Structure of this Text -- Mathematical Formulation of Quantum Systems -- Information Quantities and Parameter Estimation in Classical Systems -- |
Quantum Hypothesis Testing and Discrimination of Quantum States -- Classical-Quantum Channel Coding (Message Transmission) -- State Evolution and Trace-Preserving Completely Positive Maps -- Quantum Information Geometry and Quantum | |
Estimation -- Quantum Measurements and State Reduction -- Entanglement and Locality Restrictions -- Analysis of Quantum Communication Protocols | |
ISBN: | 9783662497258 |
Series: | eBooks |
Series: | Springer eBooks |
Series: | Springer 2017 package |
Keywords: | Physics , Data structures (Computer science) , Information theory , Quantum computers , Spintronics , Physics , Quantum Information Technology, Spintronics , Quantum Computing , Mathematical Methods in Physics , Data Structures, Cryptology and Information Theory , Information and Communication, Circuits |
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Call number: | 9783319434766:ONLINE Show nearby items on shelf |
Title: | Discrete Probability Models and Methods Probability on Graphs and Trees, Markov Chains and Random Fields, Entropy and Coding |
Author(s): |
Pierre Brémaud |
Date: | 2017 |
Size: | 1 online resource (XIV, 559 p. 92 illus p.) |
Contents: | Introduction -- 1.Events and probability -- 2.Random variables -- 3.Bounds and inequalities -- 4.Almost-sure convergence -- 5.Coupling and the variation distance -- 6.The probabilistic method -- 7.Codes and trees -- 8.Markov chains -- |
9.Branching trees -- 10.Markov fields on graphs -- 11.Random graphs -- 12.Recurrence of Markov chains -- 13.Random walks on graphs -- 14.Asymptotic behaviour of Markov chains -- 15.Monte Carlo sampling -- 16. Convergence rates -- | |
Appendix -- Bibliography | |
ISBN: | 9783319434766 |
Series: | eBooks |
Series: | Springer eBooks |
Series: | Springer 2017 package |
Keywords: | Mathematics , Computer communication systems , Coding theory , Mathematical statistics , Probabilities , Graph theory , Mathematics , Probability Theory and Stochastic Processes , Probability and Statistics in Computer Science , Graph Theory , Coding and Information Theory , Computer Communication Networks |
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Call number: | 9780750672917:ONLINE Show nearby items on shelf |
Title: | Reference data for engineers: radio, electronics, computer, and communications. |
Author(s): |
M. E. Van Valkenburg (ed.) Wendy Middleton (ed.) |
Date: | 2002 |
Edition: | 9th ed. |
Publisher: | ScienceDirect |
Size: | 1 online resource |
Contents: | Radio frequency spectrum management and time frequency standards -- International telephony recommendations -- Units, constants, and conversion factors -- Properties of materials -- Components or parts -- Fundamentals of networks -- Fourier waveform analysis -- Filters, simple bandpass design -- Filters, modern-network-theory design -- Active filter design -- Attenuators -- Measurements and analysis -- Magnetic-core transformers and reactors -- Power electronics -- rectifiers, filters, and power sup plies -- Feedback control systems -- Electron tubes -- Power grid-tube circuits -- Semiconductors and transistors -- Transistor circuits -- Integrated circuits -- Optoelectronics -- Optical communications -- Analog communications -- Digital communications -- Information theory and coding -- Computer communications networks -- Satellite and space communications -- Discrete-time signal processing -- Transmission lines -- Waveguides and resonators -- Scattering matrices -- Antennas -- Electromagnetic-wave pr opagation -- Radio noise and interference -- Broadcasting, cable television, and recording system standards -- Radar -- Radio navigation systems -- Common carrier transmission -- Switching networks and traffic concepts -- Electroacoustics -- Lasers -- Com puter organization and programming -- Logic design -- Probability and statistics -- Reliability and life testing -- Cellular telecommunications systems -- Mathematical equations -- Mathematical tables -- Miscellaneous data. |
ISBN: | 9780750672917 |
Series: | eBooks |
Series: | ScienceDirect |
Keywords: | Electronics. , Computer engineering. , Telecommunication. |
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Call number: | 9780511809187:ONLINE Show nearby items on shelf |
Title: | Introduction to the modern theory of dynamical systems [electronic resource] |
Author(s): |
Anatole Katok Boris Hasselblatt |
Date: | 1995 |
Publisher: | New York: Cambridge University Press |
Size: | 1 online resource (802 p.) |
Note: | unlimited access |
Contents: | pt. 1. Examples and fundamental concepts. 1. First examples. 1. Maps with stable asymptotic behavior. 2. Linear maps. 3. Rotations of the circle. 4. Translations on the torus. 5. Linear flow on the torus and completely integrable systems. 6. Gradien t flows. 7. Expanding maps. 8. Hyperbolic toral automorphisms. 9. Symbolic dynamical systems. 2. Equivalence, classification, and invariants. 1. Smooth conjugacy and moduli for maps. 2. Smooth conjugacy and time change for flows. 3. Topological conjugacy, factors, and structural stability. 4. Topological classification of expanding maps on a circle. 5. Coding, horseshoes, and Markov partitions. 6. Stability of hyperbolic toral automorphisms. 7. The fast-converging iteration method (Newton method) for the conjugacy problem. 8. The Poincare-Siegel Theorem. 9. Cocycles and cohomological equations. 3. Principal classes of asymptotic topological invariants. 1. Growth of orbits. 2. Examples of calculation of topological entropy. |
ISBN: | 9780521341875 |
Series: | eBooks |
Series: | Cambridge Books Online |
Keywords: | Differentiable dynamical systems. |
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Call number: | 190520924X:ONLINE Show nearby items on shelf |
Title: | Channel Coding in Communication Networks: From Theory to Turbocodes |
Author(s): |
Glavieux |
Date: | 2007 |
Publisher: | Wiley-ISTE |
Size: | 1 online resource (419 p.) |
ISBN: | 9781905209248 |
Series: | eBooks |
Series: | Wiley Online Library |
Series: | Wiley 2016 package purchase |
Keywords: | Electrical & Electronics Engineering |
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Call number: | 0471621870:ONLINE Show nearby items on shelf |
Title: | FOUNDATIONS OF CODING: THEORY AND APPLICATIONS OF ERROR CORRECTING CODES WITH AN INTRODUCTION TO CRY PTOGRAPHY AND INFORMATION THEORY |
Author(s): |
Adamek |
Date: | 1991 |
Publisher: | Wiley-Interscience |
Size: | 1 online resource (353 p.) |
ISBN: | 9780471621874 |
Series: | eBooks |
Series: | Wiley Online Library |
Series: | Wiley 2016 package purchase |
Keywords: | Mathematics |
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Location: | ONLINE |
Call number: | 0470688998:ONLINE Show nearby items on shelf |
Title: | Distributed Source Coding - Theory and Practice |
Author(s): |
Wang |
Date: | 2017 |
Publisher: | Wiley |
Size: | 1 online resource (385 p.) |
ISBN: | 9780470688991 |
Series: | eBooks |
Series: | Wiley Online Library |
Series: | Wiley 2016 package purchase |
Keywords: | Electrical & Electronics Engineering |
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Call number: | 0470028610:ONLINE Show nearby items on shelf |
Title: | Coding Theory - Algorithms, Architectures and Applications |
Author(s): |
Neubauer |
Date: | 2007 |
Publisher: | Wiley-Interscience |
Size: | 1 online resource (353 p.) |
ISBN: | 9780470028612 |
Series: | eBooks |
Series: | Wiley Online Library |
Series: | Wiley 2016 package purchase |
Keywords: | Electrical & Electronics Engineering |
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Call number: | SPRINGER-2016-9789401773034:ONLINE Show nearby items on shelf |
Title: | Quantum Theory: Informational Foundations and Foils |
Author(s): | |
Date: | 2016 |
Edition: | 1st ed. 2016 |
Size: | 1 online resource (28 p.) |
Note: | 10.1007/978-94-017-7303-4 |
Contents: | Introduction -- Part 1 Foil Theories -- Optimal Information Transfer and Real-Vector-Space Quantum Theory (William K. Wootters) -- Almost quantum theory (Benjamin Schumacher, Michael D. Westmoreland) -- Quasi-quantization: classical |
statistical theories with an epistemic restriction (Robert W. Spekkens).-Part 2 Axiomatizations -- Information-theoretic postulates for quantum theory (Markus P. Müller, Lluís Masanes) -- Quantum from principles (Giulio Chiribella, | |
Giacomo Mauro D'Ariano, Paolo Perinotti) -- Reconstructing Quantum Theory (Lucien Hardy) -- The classical limit of a physical theory and the dimensionality of space (Borivoje Dakić, Časlav Brukner) -- Some Negative Remarks on | |
Operational Approaches to Quantum Theory (Christopher A. Fuchs, Blake C. Stacey) -- Generalised Compositional Theories and Diagrammatic Reasoning (Bob Coecke, Ross Duncan, Aleks Kissinger, Quanlong Wang).Part 3 Categories and ordered | |
vectors spaces -- Post-Classical Probability Theory (Howard Barnum and Alexander Wilce) -- Information causality (Marcin Pawłowski, Valerio Scarani) -- Part 4 Quantum correlations -- Macroscopic locality (Miguel Navascués) -- Guess | |
your neighbour’s input: no quantum advantage but an advantage for quantum theory (Antonio Aćın, Mafalda L. Almeida, Remigiusz Augusiak, Nicolas Brunner) -- The completeness of quantum theory for predicting measurement outcomes (Roger | |
Colbeck, Renato Renner) | |
ISBN: | 9789401773034 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Fundamental Theories of Physics: 181 |
Keywords: | Physics , Coding theory , Mathematical physics , Quantum physics , Physics , Quantum Physics , History and Philosophical Foundations of Physics , Coding and Information Theory , Mathematical Physics |
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Call number: | SPRINGER-2016-9783319320854:ONLINE Show nearby items on shelf |
Title: | Geometry, Algebra and Applications: From Mechanics to Cryptography |
Author(s): | |
Date: | 2016 |
Size: | 1 online resource (198 p.) |
Note: | 10.1007/978-3-319-32085-4 |
Contents: | 1 W. Batat, P. M. Gadea, J. A. Oubiña, A survey on homogeneous structures on the classical hyperbolic spaces -- 2 A. Bejancu, On the (1 + 3) threading of spacetime -- 3 M. Brozos-Vázquez, E. Calviño-Louzao, E. García-Río, R. Vázquez-Lorenzo, L ocal structure of self-dual gradient Yamabe solitons -- 4 G. Calvaruso, The prescribed curvature problem in low dimension -- 5 M. Castrillón López, P. L. García, Euler-Poincare reduction by a subgroup of symmetries as an optimal control problem -- 6 M. Castrillón López, T. S. Ratiu, Morse families and Lagrangian submanifolds -- 7 R. Durán Díaz, L. Hernández Encinas, Special primes: properties and applications -- 8 F. Etayo, Rotation Minimizing vector fields and frames in Riemannian manifolds -- 9 R. Ferreiro Pérez, Local anomaly cancellation and equivariant cohomology of jet bundles -- 10 A. Fúster-Sabater, F. Montoya Vitini, Classes of nonlinear filters for stream ciphers -- 11 V. Gayoso Martínez, L. Hernández Encinas, A. Martín Muñoz, |
Implementation of cryptographic algorithms for elliptic curves -- 12 R. Hernández-Amador, J. Monterde, J. Vallejo, Supermanifolds, symplectic geometry and curvature -- 13 A. Marcelo, F. Marcelo, C. Rodríguez, Prime submodules and symmetric algebra s -- 14 A. Martín del Rey, G. Rodríguez Sánchez, Application to cybersecurity of the stability theory of the systems of ordinary differential equations -- 15 I. V. Mykytyuk, On the non-triviality of the eight-form T4(w) on manifolds with a Spin(9)-stru cture -- 16 A. Peinado, Flaws in the application of Number Theory in Key Distribution Schemes for Multicast Networks -- 17 L. Pozo, E. Rosado, Einstein-Hilbert Lagrangian induced on the linear frame bundle | |
ISBN: | 9783319320854 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Springer Proceedings in Mathematics & Statistics: 161 |
Keywords: | Mathematics , Data structures (Computer science) , Data encryption (Computer science) , Coding theory , Differential geometry , Mathematical physics , Mathematics , Mathematical Physics , Differential Geometry , Data Encryption , Data Structures , Coding and Information Theory |
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Call number: | SPRINGER-2014-9783319071039:ONLINE Show nearby items on shelf |
Title: | Integrated Devices for Quantum Information with Polarization Encoded Qubits [electronic resource] |
Author(s): |
Linda Sansoni |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | Quantum information science has found great experimental successby exploitingsingle photons. To date, however, the majority of quantum optical experiments use large-scale (bulk) optical elements bolted down to an opticalbench, an approach that ultima tely limits the complexity and stability of the quantum circuits required for quantum science and technology. The realization of complex optical schemes involving large numbers of elements requires theintroduction of waveguide technology to achieve the de sired scalability, stability and miniaturization of the device. This thesis reports on surprising findings in the field of integrated devices for quantum information. Here thepolarization of the photon is shown to offer a suitable degree of freedom for en coding quantum information in integrated systems. The most important results concern: the quantum interference of polarization entangled photons in anon-chip directional coupler the realization of a Controlled-NOT (CNOT) gate operating with polarization q ubits the realization of a quantum walk of bosons and fermions in an ordered optical lattice and the quantum simulation ofAnderson localization of bosons and fermions simulated by polarization entangled photons in a disordered quantum walk. The findings p resented in this thesis represent an important step towards the integration of a complete quantumphotonic experiment in a chip |
Contents: | Part I Quantum Information |
Quantum Information with Photonics | |
Integrated Waveguide Technology | |
Part II Integrated Devices for Quantum Information | |
Polarization Dependent and Independent Devices | |
Quantum Computation: Integrated Quantum Gates for Polarization | |
Encoded Qubits | |
Process Characterization | |
Part III Quantum Simulation | |
Introduction to Quantum Simulation | |
Bosonic and Fermionic Quantum Walk | |
um Transport in Presence of Disorder | |
Conclusion | |
ISBN: | 9783319071039 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Springer Theses, Recognizing Outstanding Ph.D. Research, 2190-5053 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Quantum theory |
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Call number: | SPRINGER-2013-9781461481188:ONLINE Show nearby items on shelf |
Title: | Lectures on Sphere Arrangements the Discrete Geometric Side [electronic resource] |
Author(s): |
Kroly Bezdek |
Date: | 2013 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This monograph gives a short introduction to parts of modern discrete geometry, in addition to leading the reader to the frontiers of geometric research on sphere arrangements. The readership is aimed at advanced undergraduate andearly graduate stude nts, as well as interested researchers. It contains 30 open research problems ideal for graduate students and researchers in mathematics and computer science. Additionally, this book may be considered ideal for aone-semester advanced undergraduate or grad uate level course. The core of this book is based on three lectures given by the author at the Fields Institute during the thematic program on Discrete Geometry and Applications andcontains four basic topics. The first two deal with active areas that hav e been outstanding from the birth of discrete geometry, namely dense sphere packings and tilings. Sphere packings and tilings have a very strong connection tonumber theory, coding, groups, and mathematical programming. Extending the tradition of studying packings of spheres is the investigation of the monotonicity of volume under contractions of arbitrary arrangements of spheres. The thirdmajor topic can be found under the sections on ball-polyhedra that study the possibility of extending the theory of co nvex polytopes to the family of intersections of congruent balls. This section of the text is connected in many waysto the above-mentioned major topics as well as to some other important research areas such as that on coverings by planks (with close ties to geometric analysis). The fourth basic topic is discussed under covering balls by cylinders. |
Note: | Springer eBooks |
Contents: | 1. Unit Sphere Packings |
2. Proofs on Unit Sphere Packings | |
3. Contractions of Sphere Arrangements | |
4. Proofs on Contractions of Sphere Arrangements | |
5. Ball | |
Polyhedra and Spindle Convex Bodies | |
6. Proofs on Ball | |
Polyhedra and Spindle Convex Bodies | |
7. Coverings by Cylinders | |
8. Proofs on Coverings by Cylinders | |
9. Research Problems | |
an Overview | |
Glossary | |
References | |
ISBN: | 9781461481188 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Fields Institute Monographs, 1069-5273 : v32 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Discrete groups |
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Call number: | SPRINGER-2013-9781461470922:ONLINE Show nearby items on shelf |
Title: | Introduction to the Theory of Quantum Information Processing [electronic resource] |
Author(s): |
Jnos A Bergou Mark Hillery |
Date: | 2013 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Introduction to the Theory of Quantum Information Processing provides the material for a one-semester graduate level course on quantum information theory and quantum computing for students who have had a one-year graduate coursein quantum mechanics. Many standard subjects are treated, such as density matrices, entanglement, quantum maps, quantum cryptography, and quantum codes. Also included are discussions of quantum machines and quantum walks. In addition,the book provides detailed treatments of se veral underlying fundamental principles of quantum theory, such as quantum measurements, the no-cloning and no-signaling theorems, and their consequences. Problems of various levels ofdifficulty supplement the text, with the most challenging problems brin ging the reader to the forefront of active research. This book provides a compact introduction to the fascinating and rapidly evolving interdisciplinary field ofquantum information theory, and it prepares the reader for doing active research in this area |
Note: | Springer eBooks |
Contents: | Preface |
Introduction | |
The Density Matrix | |
Entanglement | |
Generalized Quantum Dynamics | |
Quantum Measurement Theory | |
Quantum Cryptography | |
Quantum Algorithms | |
Quantum Machines | |
Decoherence and Quantum Error Correction | |
Index | |
ISBN: | 9781461470922 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Graduate Texts in Physics, 1868-4513 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Coding theory , Quantum theory |
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Call number: | SPRINGER-2013-9781461470854:ONLINE Show nearby items on shelf |
Title: | Stochastic Networked Control Systems [electronic resource] : Stabilization and Optimization under Information Constraints |
Author(s): |
Serdar Yksel Tamer Baar |
Date: | 2013 |
Publisher: | New York, NY : Springer New York : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Networked control systems are increasingly ubiquitous today, with applications ranging from vehicle communication and adaptive power grids to space exploration and economics. The optimal design of such systems presents majorchallenges, requiring tool s from various disciplines within applied mathematics such as decentralized control, stochastic control, information theory, and quantization. A thorough, self-contained book, Stochastic Networked ControlSystems: Stabilization and Optimization under Infor mation Constraints aims to connect these diverse disciplines with precision and rigor, while conveying design guidelines to controller architects. Unique in the literature, it lays acomprehensive theoretical foundation for the study of networked control s ystems, and introduces an array of concrete tools for work in the field. Salient features include: Characterization, comparison and optimaldesign of information structures in static and dynamic teams. Operational, structural and topological properties of information structures in optimal decision making, with a systematic program for generating optimal encoding andcontrol policies. The notion of signaling, and its utilization in stabilization and optimization of decentralized control systems. Presentati on of mathematical methods for stochastic stability of networkedcontrol systems using random-time, state-dependent drift conditions and martingale methods. Characterization and study of information channels leading to various forms of stochastic stabilit y such asstationarity, ergodicity, and quadratic stability and connections with information and quantization theories. Analysis of various classes of centralized and decentralized control systems. Jointly optimal design ofencoding and control policies ov er various information channels and under general optimization criteria, including a detailed coverage of linear- |
Note: | Springer eBooks |
Contents: | Introduction |
Part I Information Structures in Networked Control | |
Networked Control Systems as Stochastic Team Decision Problems: A General Introduction | |
Characterization and Comparison of Information Structures | |
Topological Properties of Information Structures: Comparison, Convergence and Optimization | |
Part II Stabilization of Networked Control Systems | |
Coding for Control and Connections with Information Theory | |
Stochastic Stability and Drift Criteria for Markov Chains in Networked Control | |
Stochastic Stabilization over Noiseless Channels | |
Stochastic Stabilization over Noisy | |
ISBN: | 9781461470854 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Systems & Control: Foundations & Applications, 2324-9749 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer network architectures , Information systems , Systems theory , Mathematical optimization , Telecommunication |
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Call number: | SPRINGER-2013-9781461443438:ONLINE Show nearby items on shelf |
Title: | R for Business Analytics [electronic resource] |
Author(s): |
A Ohri |
Date: | 2013 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | R for Business Analytics looks at some of the most common tasks performed by business analysts and helps the user navigate the wealth of information in R and its 4000 packages. With this information the reader can select thepackages that can help pro cess the analytical tasks with minimum effort and maximum usefulness. The use of Graphical User Interfaces (GUI) is emphasized in this book to further cut downand bend the famous learning curve in learningR. This book is aimed to help you kick-start with analytics including chapters on data visualization, code examples on web analytics and social media analytics, clustering, regression models, text mining, data mining models andforecasting. The book tries to expose the reader to a breadth of business anal ytics topics without burying the user in needless depth. The included references and links allow the reader to pursue business analytics topics. Thisbook is aimed at business analysts with basic programming skills for using R for Business Analytics. Note the scope of the book is neither statistical theory nor graduate level research for statistics, but rather it is for businessanalytics practitioners. Business analytics (BA) refers to the field ofexploration and investigation of data generated by busines ses. Business Intelligence (BI) is the seamless dissemination of information through the organization,which primarily involves business metrics both past and current for the use of decision support in businesses. Data Mining (DM) is the process of discove ring new patterns from large data using algorithms and statistical methods. Todifferentiate between the three, BI is mostly current reports, BA is models to predict and strategizeand DM matches patterns in big data. The R statistical software is the faste st growing analytics platform in the world, and isestablished in both academia and corporations for robustness, reliability and accuracy. |
Note: | Springer eBooks |
Contents: | Why R |
R Infrastructure | |
R Interfaces | |
Manipulating Data | |
Exploring Data | |
Building Regression Models | |
Data Mining using R | |
Clustering and Data Segmentation | |
Forecasting and Time | |
Series Models | |
Data Export and Output | |
Optimizing your R Coding | |
Additional Training Literature | |
Appendix | |
ISBN: | 9781461443438 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Statistics , Mathematical statistics , Economics Statistics |
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Call number: | SPRINGER-2012-9783642290756:ONLINE Show nearby items on shelf |
Title: | Novelty, Information and Surprise [electronic resource] |
Author(s): |
Gnther Palm |
Date: | 2012 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The book offers a new approach to information theory that is more general then the classical approach by Shannon. The classical definition of information is given for an alphabet of symbols or for a set of mutually exclusivepropositions (a partition of the probability space ) with corresponding probabilities adding up to 1. The new definition is given for an arbitrary cover of , i.e. for a set of possibly overlapping propositions. The generalizedinformation concept is called novelty and it is accompa nied by two new concepts derived from it, designated as information and surprise, which describe opposite versions of novelty, information being related more to classicalinformation theory and surprise being related more to the classical concept of statis tical significance. In the discussion of these three concepts and their interrelations several properties or classes of covers are defined, which turnout to be lattices. The book also presents applications of these new concepts, mostly in statistics and i n neuroscience |
Note: | Springer eBooks |
Contents: | Part I Surprise and Information of Descriptions: Prerequisites |
Improbability and Novelty of Descriptions | |
Conditional Novelty and Information | |
Part II Coding and Information Transmission: On Guessing and Coding | |
Information Transmission | |
Part III Information Rate and Channel Capacity: Stationary Processes and Information Rate | |
Channel Capacity | |
Shannon's Theorem | |
Part IV Repertoires and Covers: Repertoires and Descriptions | |
Novelty, Information and Surprise of Repertoires | |
Conditioning, Mutual Information and Information Gain | |
Part V Information, Novelty and Surprise in | |
ISBN: | 9783642290756 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Artificial intelligence , Optical pattern recognition , Neurobiology , Algebra |
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Call number: | SPRINGER-2012-9781461443254:ONLINE Show nearby items on shelf |
Title: | Ordering Block Designs [electronic resource] : Gray Codes, Universal Cycles and Configuration Orderings |
Author(s): |
Megan Dewar Brett Stevens |
Date: | 2012 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The study of combinatorial block designs is a vibrant area of combinatorial mathematics with connections to finite geometries, graph theory, coding theory and statistics.The practice of ordering combinatorial objects can traceits roots to bell ringin g which originated in 17th century England, but only emerged as a significant modern research area with the work of F. Gray and N. de Bruijn. These two fascinating areas of mathematics are brought together forthe first time in this book. It presents new t erminology and concepts which unify existing and recent results from a wide variety of sources. In order to provide a complete introduction and survey, the book begins with backgroundmaterial on combinatorial block designs and combinatorial orderings, inc luding Gray codes the most common and well-studied combinatorial ordering concept and universal cycles.The central chapter discusses how orderingconcepts can be applied to block designs, with definitions from existing (configuration orderings) and new ( Gray codes and universal cycles for designs) research.Two chapters are devoted to a survey of results in the field, includingillustrative proofs and examples.The book concludes with a discussion of connections to a broad range of applications in computer science, engineering and statistics. This book will appeal to both graduate students andresearchers.Each chapter contains worked examples and proofs, complete reference lists, exercises and a list of conjectures and open problems.Practitioners will also f ind the book appealing for its accessible, self-containedintroduction to the mathematics behind the applications |
Note: | Springer eBooks |
Contents: | Abstract |
Acknowledgements | |
Introduction | |
Background | |
Ordering the Blocks of Designs | |
Gray Codes and Universal Cycles for Designs | |
New Results in Configuration Ordering | |
Conclusions and Future Work | |
Bibliography | |
Index | |
ISBN: | 9781461443254 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | CMS Books in Mathematics, Ouvrages de mathmatiques de la SMC, 1613-5237 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computational complexity , Combinatorics |
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Call number: | SPRINGER-2012-9781461413479:ONLINE Show nearby items on shelf |
Title: | Selected Works of Terry Speed [electronic resource] |
Author(s): |
Sandrine Dudoit |
Date: | 2012 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The purpose of this volume is to provide an overview of Terry Speeds contributions to statistics and beyond. Each of the fifteen chapters concerns a particular area of research and consists of a commentary by a subject-matterexpert and selection of r epresentative papers. The chapters, organized more or less chronologically in terms of Terrys career, encompass a wide variety of mathematical and statistical domains, along with their application to biologyand medicine. Accordingly, earlier chapters tend to be more theoretical, covering some algebra and probability theory, while later chapters concern more recent work in genetics and genomics. The chapters also span continents andgenerations, as they present research done over four decades, while crisscr ossing the globe. The commentaries provide insight into Terrys contributions to a particular area of research, by summarizing his work and describing itshistorical and scientific context, motivation, and impact. In addition to shedding light on Terrys sci entific achievements, the commentaries reveal endearing aspects of his personality, such as his intellectual curiosity, energy,humor, and generosity |
Note: | Springer eBooks |
Contents: | Algebra |
Probability | |
Sufficiency | |
Analysis of Variance | |
Cumulants | |
Interaction Models | |
Asymptotics and Coding Theory | |
Applied Statistics and Exposition | |
History and Teaching Statistics | |
Genetic Recombination | |
Molecular Evolution | |
Statistical Genetics | |
DNA Sequencing | |
Biological Sequence Analysis | |
Microarray Data Analysis | |
ISBN: | 9781461413479 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Selected Works in Probability and Statistics |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Statistics , Mathematical statistics |
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Call number: | SPRINGER-2012-9780817649449:ONLINE Show nearby items on shelf |
Title: | Stochastic Models, Information Theory, and Lie Groups, Volume 2 [electronic resource] : Analytic Methods and Modern Applications |
Author(s): |
Gregory S Chirikjian |
Date: | 2012 |
Publisher: | Boston : Birkhuser Boston |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The subjects of stochastic processes, information theory, and Lie groups are usually treated separately from each other. This unique two-volume set presents these topics in a unified setting, thereby building bridges betweenfields that are rarely stu died by the same people. Unlike the many excellent formal treatments available for each of these subjects individually, the emphasis in both of these volumes is on the use of stochastic, geometric, andgroup-theoretic concepts in the modeling of physical p henomena. Volume 1 establishes the geometric and statistical foundations required to understand the fundamentals of continuous-time stochastic processes, differential geometry, andthe probabilistic foundations of information theory. Volume 2 delves deeper into relationships between these topics, including stochastic geometry, geometric aspects of the theory of communications and coding, multivariate statisticalanalysis, and error propagation on Lie groups. Key features and topics of Volume 2: * The author reviews the concept ofandfunctions and integration onLie groups with many concrete examples. * Extensive exercises andmotivating examples make the work suitable as a textbook for use in courses that emphasize applied stochastic processes on Lie groups or geometric aspects of probability and statistics. *Specific application areas are explored,including biomolecular statistical mechanics and information-driven motion in robotics. * The concrete presentation style makes it easy for readers to obtain numeri cal solutions for their own problems the emphasis is on how tocalculate quantities rather than how to prove theorems. * Modern problems at the interface of mechanics, control theory, and communications are handled in a unified framework and multiple direc tions for future research are explored.Stochastic Models, Information Theory, and Lie Groups will be of interest to advanced undergraduate and graduate students, researchers, and practition |
Note: | Springer eBooks |
Contents: | Lie Groups I: Introduction and Examples |
Lie Groups II: Differential Geometric Properties | |
Lie Groups III: Integration, Convolution, and Fourier Analysis | |
Variational Calculus on Lie Groups | |
Statistical Mechanics and Ergodic Theory | |
Parts Entropy and the Principal Kinematic Formula | |
Estimation and Multivariate Analysis in R^n | |
Information, Communication, and Group Therapy | |
Algebraic and Geometric Coding Theory | |
Information Theory on Lie Groups | |
Stochastic Processes on Lie Groups | |
Locomotion and Perception as Communication over Principal Fiber Bundles and A Survey of Addi | |
ISBN: | 9780817649449 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Applied and Numerical Harmonic Analysis |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Topological Groups , Global differential geometry , Distribution (Probability theory) , Mathematical physics , Engineering mathematics |
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Call number: | SPRINGER-2011-9789400701717:ONLINE Show nearby items on shelf |
Title: | Mathematical Foundations of Quantum Information and Computation and Its Applications to Nano- and Bio-systems [electronic resource] |
Author(s): |
Masanori Ohya I Volovich |
Date: | 2011 |
Publisher: | Dordrecht : Springer Netherlands |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This monograph provides a mathematical foundation to the theory of quantum information and computation, with applications to various open systems including nano and bio systems. It includes introductory material on algorithm,functional analysis, prob ability theory, information theory, quantum mechanics and quantum field theory. Apart from standard material on quantum information like quantum algorithm and teleportation, the authors discuss findings on thetheory of entropy in C*-dynamical systems, spa ce-time dependence of quantum entangled states, entangling operators, adaptive dynamics, relativistic quantum information, and a new paradigm for quantum computation beyond the usualquantum Turing machine. Also, some important applications of information theory to genetics and life sciences, as well as recent experimental and theoretical discoveries in quantum photosynthesis are described |
Note: | Springer eBooks |
Contents: | 1 Introduction |
2 Algorithms and Computation | |
3 Basics of Classical Probability | |
4 Basics of Infinite Dimensional Analysis | |
5 Basics of Quantum Mechanics | |
6 Fundamentals of Classical Information Theory | |
7 Fundamentals of Quantum Information | |
8 Locality and Entanglement | |
9 Quantum Capacity and Coding | |
10 Information Dynamics and Adaptive Dynamics | |
11 Mathematical Models of Quantum Computer | |
12 Quantum Algorithms I | |
13 Quantum Algorithms II | |
14 Quantum Algorithms III | |
15 Quantum Error Correction | |
16 Quantum Field Theory | |
Locality and Entanglement | |
17 Quantum Cry | |
ISBN: | 9789400701717 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Theoretical and Mathematical Physics, 1864-5879 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Bioinformatics , Mathematics , Quantum theory |
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Call number: | SPRINGER-2011-9781461407973:ONLINE Show nearby items on shelf |
Title: | Graphs and Cubes [electronic resource] |
Author(s): |
Sergei Ovchinnikov |
Date: | 2011 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This introductory text in graph theory focuses on partial cubes, which are graphs that are isometrically embeddable into hypercubes of an arbitrary dimension, as well as bipartite graphs, and cubical graphs. This branch of graphtheory has developed r apidly during the past three decades, producing exciting results and establishing links to other branches of mathematics. Currently, Graphs and Cubes is the only book available on the market that presents acomprehensive coverage of cubical graph and part ial cube theories. Many exercises, along with historical notes, are included at the end of every chapter, and readers are encouraged to explore the exercises fully, and use them as abasis for research projects. The prerequisites for this text include fam iliarity with basic mathematical concepts and methods on the level of undergraduate courses in discrete mathematics, linear algebra, group theory, and topologyof Euclidean spaces. While the book is intended for lower-division graduate students in mathemat ics, it will be of interest to a much wider audience because of their rich structural properties, partial cubes appear in theoreticalcomputer science, coding theory, genetics, and even the political and social sciences |
Note: | Springer eBooks |
Contents: | Preface |
1 Graphs | |
2 Bipartite Graphs | |
3 Cubes | |
4 Cubical Graphs | |
5 Partial Cubes | |
6 Lattice Embeddings | |
7 Hyperplane Arrangements | |
8 Token Systems | |
Notation | |
References | |
Index | |
ISBN: | 9781461407973 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Universitext, 0172-5939 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics |
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Call number: | SPRINGER-2011-9780817682569:ONLINE Show nearby items on shelf |
Title: | Selected Unsolved Problems in Coding Theory [electronic resource] |
Author(s): |
David Joyner Jon-Lark Kim |
Date: | 2011 |
Edition: | 1 |
Publisher: | Boston : Birkhuser Boston |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Using an original mode of presentation and emphasizing the computational nature of the subject, this book explores a number of the unsolved problems thatcontinue toexist in coding theory. A well-established and still highlyrelevant branch of mathemat ics, the theory of error-correcting codes is concerned with reliably transmitting data over a noisy channel. Despite its frequent use in a range of contextsthe first close-up pictures of the surfaceof Mars, taken by the NASA spacecraft Mariner 9, were tra nsmitted back to Earth using a ReedMuller codethe subject contains interesting problems that have to date resisted solution by some of the most prominent mathematicians ofrecent decades. Employing SAGEa free open-source mathematics software systemto illus trate their ideas, the authors begin by providing background on linear block codes and introducing some of the special families of codes exploredin later chapters, such as quadratic residue and algebraic-geometric codes. Also surveyed is the theory that i ntersects self-dual codes, lattices, and invariant theory, which leads to an intriguing analogy between the Duursma zetafunction and the zeta function attached to an algebraic curve over a finite field. The authors then examine a connectionbetween the the ory of block designs and the AssmusMattson theorem andscrutinize the knotty problem offinding a non-trivial estimate for the number of solutions over a finite field to a hyperelliptic polynomial equation of small degree, as well as the best asymptotic bou nds for a binary linear block code. Finally, some of the moremysterious aspects relating modular forms and algebraic-geometric codes are discussed. Selected Unsolved Problems in Coding Theory is intended for graduate students and researchers in algebraic coding theory, especially those who areinterested in finding current unsolved problems. Familiarity with concepts in algebra, number theory, and modular forms is assume |
Note: | Springer eBooks |
Contents: | Preface |
Background | |
Codes and Lattices | |
Kittens and Blackjack | |
RH and Coding Theory | |
Hyperelliptic Curves and QR Codes | |
Codes from Modular Curves | |
Appendix | |
Bibliography | |
Index | |
ISBN: | 9780817682569 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Applied and Numerical Harmonic Analysis |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Coding theory , Geometry, algebraic , Number theory |
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Call number: | SPRINGER-2011-9780817649043:ONLINE Show nearby items on shelf |
Title: | Towards an Information Theory of Complex Networks [electronic resource] : Statistical Methods and Applications |
Author(s): |
Matthias Dehmer Frank Emmert-Streib Alexander Mehler |
Date: | 2011 |
Edition: | 1 |
Publisher: | Boston : Birkhuser Boston |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | For over a decade, complex networks have steadily grown as an important tool across abroad array of academic disciplines, with applications ranging from physics to social media.A tightly organizedcollectionofcarefully-selected papers on the subject, Towards an Information Theory of Complex Networks: Statistical Methods and Applications presents theoretical and practical results about information-theoretic and statisticalmodels of complex networks in the natural sciences and humanities.The book'smajor goal is to advocate and promote a combination of graph-theoretic, information-theoretic, and statistical methods as a way to better understand andcharacterize real-world networks. This volume is the first to present a self-contained, comprehensive overvi ew of information-theoretic modelsof complex networks with an emphasis on applications. It begins with four chaptersdeveloping the most significant formal-theoretical issues of network modeling,butthe majority of the book is devoted tocombining theoretica l results with an empirical analysis of real networks. Specific topics include: chemicalgraph theory ecosystem interaction dynamics social ontologies language networks software systems Thiswork marks a first step toward establishing advanced statistical i nformation theory as a unified theoretical basis of complexnetworksfor allscientific disciplines. As such, itcan serve asa valuable resource foradiverse audience of advanced students and professional scientists.It is primarilyintendedas a reference for re search, but couldalso be a useful supplemental graduate text in courses related to information science, graph theory, machine learning, and computational biology, among others |
Note: | Springer eBooks |
Contents: | Preface |
Entropy of Digraphs and Infinite Networks | |
An Information | |
Theoretic Upper Bound on Planar Graphs Using Well | |
orderly Maps | |
Probabilistic Inference Using Function Factorization and Divergence Minimization | |
Wave Localization on Complex Networks | |
Information | |
Theoretic Methods in Chemical Graph Theory | |
On the Development and Application of Net | |
Sign Graph Theory | |
The Central Role of Information Theory in Ecology | |
Inferences About Coupling from Ecological Surveillance Monitoring | |
Markov Entropy Centrality | |
Social Ontologies as Generalizedd Nearly Acyclic Directed Graphs | |
ISBN: | 9780817649043 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Coding theory , Artificial intelligence , Physiology Mathematics , Telecommunication |
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Call number: | SPRINGER-2010-9783642119149:ONLINE Show nearby items on shelf |
Title: | Quantum Information, Computation and Cryptography [electronic resource] : An Introductory Survey of Theory, Technology and Experiments |
Author(s): |
Fabio Benatti Mark Fannes Roberto Floreanini Dimitri Petritis |
Date: | 2010 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This multi-authored textbook addresses graduate students with a background in physics, mathematics or computer science. No research experience is necessary. Consequently, rather than comprehensively reviewing the vast body ofknowledge and literature gathered in the past twenty years, this book concentrates on a number of carefully selected aspects of quantum information theory and technology. Given the highly interdisciplinary nature of the subject, themulti-authored approach brings together differen t points of view from various renowned experts, providing a coherent picture of the subject matter. The book consists of ten chapters and includes examples, problems, and exercises. Thefirst five present the mathematical tools required for a full comprehe nsion of various aspects of quantum mechanics, classical information, and coding theory. Chapter 6 deals with the manipulation and transmission of information in thequantum realm. Chapters 7 and 8 discuss experimental implementations of quantum informatio n ideas using photons and atoms. Finally, chapters 9 and 10 address ground-breaking applications in cryptography and computation |
Note: | Springer eBooks |
Contents: | Hilbert Space Methods for Quantum Mechanics |
Classical Information Theory | |
Quantum Probablity and Quantum Information Theory | |
Bipartite Quantum Entanglement | |
Field | |
Theoretical Methods | |
Index | |
ISBN: | 9783642119149 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes in Physics, 0075-8450 : v808 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Coding theory , Quantum theory , Mathematical physics |
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Call number: | SPRINGER-2010-9783642050145:ONLINE Show nearby items on shelf |
Title: | Hypergeometric Orthogonal Polynomials and Their q-Analogues [electronic resource] |
Author(s): |
Roelof Koekoek Peter A Lesky Ren F Swarttouw |
Date: | 2010 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The very classical orthogonal polynomials named after Hermite, Laguerre and Jacobi, satisfy many common properties. For instance, they satisfy a second-order differential equation with polynomial coefficients and they can beexpressed in terms of a hy pergeometric function. Replacing the differential equation by a second-order difference equation results in (discrete) orthogonal polynomial solutions with similar properties. Generalizations of thesedifference equations, in terms of Hahn's q-difference o perator, lead to both continuous and discrete orthogonal polynomials with similar properties. For instance, they can be expressed in terms of (basic) hypergeometric functions.Based on Favard's theorem, the authors first classify all families of orthogonal polynomials satisfying a second-order differential or difference equation with polynomial coefficients. Together with the concept of duality this leads tothe families of hypergeometric orthogonal polynomials belonging to the Askey scheme. For each family they list the most important properties and they indicate the (limit) relations. Furthermore the authors classify all q-orthogonalpolynomials satisfying a second-order q-difference equation based on Hahn's q-operator. Together with the concept of duality this leads to the families of basic hypergeometric orthogonal polynomials which can be arranged in aq-analogue of the Askey scheme. Again, for each family they list the most important properties, the (limit) relations between the various families and the limit relations (for q --> 1) to the classical hypergeometric orthogonalpolynomials belonging to the Askey scheme. These (basic) hypergeometric orthogonal polynomials have several applications in various areas of mathematics and (quantum) physics such as approximation theory, asymptotics, birth and deathprocesses, probability and statistics, coding theory and combinatorics |
Note: | Springer eBooks |
Contents: | Foreword by Tom H. Koornwinder |
Preface | |
1.Definitions and miscellaneous formulas | |
2.Polynomial solutions of eigenvalue problems | |
3.Orthogonality of the polynomial solutions | |
Part I: Classical orthogonal polynomials | |
4.Orthogonal polynomial solutions of differential equations, Continuous classical orthogonal polynomials | |
5.Orthogonal polynomial solutions of real difference equations, Discrete classical orthogonal polynomials I | |
6.Orthogonal polynomial solutions of complex difference equations, Discrete classical orthogonal polynomials II | |
7.Orthogonal polynomial solutions in | |
ISBN: | 9783642050145 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Monographs in Mathematics, 1439-7382 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Functions, special |
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Call number: | SPRINGER-2010-9783034602860:ONLINE Show nearby items on shelf |
Title: | Advances in Ring Theory [electronic resource] |
Author(s): |
Dinh Huynh Sergio R Lpez-Permouth |
Date: | 2010 |
Publisher: | Basel : Birkhuser Basel |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This volume consists of refereed research and expository articles by both plenary and other speakers at the International Conference on Algebra and Applications held at Ohio University in June 2008, to honor S.K. Jain on his 70thbirthday. The article s are on a wide variety of areas in classical ring theory and module theory, such as rings satisfying polynomial identities, rings of quotients, group rings, homological algebra, injectivity and itsgeneralizations, etc. Included are also applications of r ing theory to problems in coding theory and in linear algebra |
Note: | Springer eBooks |
Contents: | Foreward |
Biographical sketch of S.K. Jain | |
Applications of Cogalois theory to elementary field arithmetic | |
On big lattices of classes of R | |
modules defined by closure properties | |
Reversible and duo group rings | |
Principally quasi | |
Baer ring hulls | |
Strongly prime ideals of near | |
rings of continuous functions | |
Elements of minimal prime ideals in general rings | |
The Camps | |
Dicks theorem | |
Applications of the stone duality in the theory of precompact Boolean rings | |
Over rings and functors | |
On some classes of repeated | |
root constacyclic codes of length a power of 2 over Galois Rings | |
ISBN: | 9783034602860 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Trends in Mathematics |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Algebra |
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Call number: | SPRINGER-2010-9781441917485:ONLINE Show nearby items on shelf |
Title: | Algorithms and Programming [electronic resource] : Problems and Solutions |
Author(s): |
Alexander Shen |
Date: | 2010 |
Edition: | 2 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Algorithms and Programming is primarily intended for a first year undergraduate course in programming. Structured in a problem-solution format, the text motivates the student to think through the programming process, thusdeveloping a firm understandi ng of the underlying theory. Although a moderate familiarity with programming is assumed, the book is easily utilized by students new to computer science. The more advanced chapters make the book useful fora graduate course in the analysis of algorithms a nd/or compiler construction. New to the second edition are added chapters on suffix trees, games and strategies, and Huffman coding as well as an appendix illustrating the ease ofconversion from Pascal to C. The material covers such topics as combinatoric s, sorting, searching, queues, grammar and parsing, selected well-known algorithms, and much more. Reviews of the 1st Edition: The book is addressed both toambitious students and instructors looking for interesting problems [and] fulfills this task perfec tly, especially if the reader has a good mathematical background. Zentralblatt MATH This book is intended for students,engineers, and other people who want to improve their computer skills.... The chapters can be read independently. Throughout the book, useful exercises give readers a feeling for how to apply the theory. Computing ReviewsOverall...the book is well done. I recommend it to teachers and those wishing to sharpen their data structure and compiler skills. SIGACT News |
Note: | Springer eBooks |
Contents: | Variables, expressions, assignments |
Generation of combinatorial objects | |
Tree traversal (backtracking) | |
Sorting | |
Finite | |
state algorithms in text processing | |
Data types | |
Recursion | |
Recursive and non | |
recursive programs | |
Graph algorithms | |
Pattern matching | |
Games analysis | |
Optimal coding | |
Set representation. Hashing | |
Sets, trees, and balanced trees | |
Context | |
free grammars | |
Left | |
to | |
right parsing (LR) | |
ISBN: | 9781441917485 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Undergraduate Texts in Mathematics and Technology, 1867-5506 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer science , Computer software , Computer science Mathematics , Algorithms |
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Call number: | SPRINGER-2010-9781441914309:ONLINE Show nearby items on shelf |
Title: | A New Perspective on Thermodynamics [electronic resource] |
Author(s): |
Bernard H Lavenda |
Date: | 2010 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Dr. Bernard H. Lavenda has written A New Perspective on Thermodynamics to combine an old look at thermodynamics with a new foundation. The book presents a historical perspective, which unravels the current presentation ofthermodynamics found in stand ard texts, and which emphasizes the fundamental role that Carnot played in the development of thermodynamics. A New Perspective on Thermodynamics will: Chronologically unravel the development of theprinciples of thermodynamics and how they were conceived by their discoverers Bring the theory of thermodynamics up to the present time and indicate areas of further development with the union of information theory and the theory ofmeans and their inequalities. New areas include nonextensive thermodynamics, the thermodynamics of coding theory, multifractals, and strange attractors. Reintroduce important, yet nearly forgotten, teachings of N.L. Sardi CarnotHighlight conceptual flaws in timely topics such as endoreversible engines, finite-time thermodynamics, geo metrization of thermodynamics, and nonequilibrium work from equilibrium free energy differences. Dr. Bernard H. Lavenda isProfessor of Physical Chemistry at Universita degli Studi di Camerino, Italy. He is recipient of the 2009 Telesio-Galeli Prize in Phy sics for his work on irreversible thermodynamics |
Note: | Springer eBooks |
Contents: | The predecessors of Carnot |
Thermodynamics from Carnot to Clausius and Kelvin | |
Thermodynamics in a Carnot equation | |
Equivalence of First and Second Laws | |
Work from Nonequilibrium Systems | |
Nonextensive Thermodynamics | |
ISBN: | 9781441914309 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Mathematics , Distribution (Probability theory) , Thermodynamics , Mechanics, applied |
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Call number: | SPRINGER-2009-9783642019609:ONLINE Show nearby items on shelf |
Title: | Algorithmic Algebraic Combinatorics and Grbner Bases [electronic resource] |
Author(s): |
Mikhail Klin Gareth A Jones Aleksandar Jurii Mikhail Muzychuk Ilia Ponomarenko |
Date: | 2009 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This collection of tutorial and research papers introduces readers to diverse areas of modern pure and applied algebraic combinatorics and finite geometries with a special emphasis on algorithmic aspects and the use of the theoryof Grbner bases. Topi cs covered include coherent configurations, association schemes, permutation groups, Latin squares, the Jacobian conjecture, mathematical chemistry, extremal combinatorics, coding theory, designs, etc. Specialattention is paid to the description of innova tive practical algorithms and their implementation in software packages such as GAP and MAGMA. Readers will benefit from the exceptional combination of instructive training goals with thepresentation of significant new scientific results of an interdiscip linary nature |
Note: | Springer eBooks |
ISBN: | 9783642019609 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer science , Algebra , Combinatorics , Geometry |
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Call number: | SPRINGER-2009-9783540938064:ONLINE Show nearby items on shelf |
Title: | Grbner Bases, Coding, and Cryptography [electronic resource] |
Author(s): |
Massimiliano Sala Shojiro Sakata Teo Mora Carlo Traverso Ludovic Perret |
Date: | 2009 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Coding theory and cryptography allow secure and reliable data transmission, which is at the heart of modern communication. Nowadays, it is hard to find an electronic device without some code inside. Grbner bases have emerged asthe main tool in comput ational algebra, permitting numerous applications, both in theoretical contexts and in practical situations. This book is the first book ever giving a comprehensive overview on the application of commutativealgebra to coding theory and cryptography. For e xample, all important properties of algebraic/geometric coding systems (including encoding, construction, decoding, list decoding) are individually analysed, reporting all significantapproaches appeared in the literature. Also, stream ciphers, PK cryptogr aphy, symmetric cryptography and Polly Cracker systems deserve each a separate chapter, where all the relevant literature is reported and compared. While manyshort notes hint at new exciting directions, the reader will find that all chapters fit nicely wi thin a unified notation |
Note: | Springer eBooks |
Contents: | Grbner Bases, Coding, and Cryptography: aGuide to the State |
of | |
Art | |
Grbner Bases, Coding, and Cryptography: aGuide to the State | |
of | |
Art | |
Invited Papers | |
Grbner Technology | |
The FGLM Problem and Mllers Algorithm onZero | |
dimensional Ideals | |
An Introduction to Linear and Cyclic Codes | |
Decoding Cyclic Codes: the Cooper Philosophy | |
A Tutorial on AG Code Construction fromaGrbner Basis Perspective | |
Automorphisms and Encoding of AG and Order Domain Codes | |
Algebraic Geometry Codes from Order Domains | |
The BMS Algorithm | |
The BMS Algorithm and Decoding of AG Codes | |
ISBN: | 9783540938064 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Data encryption (Computer science) , Information theory , Computer science , Algebra , Combinatorics |
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Call number: | SPRINGER-2009-9783540852988:ONLINE Show nearby items on shelf |
Title: | Number Theory in Science and Communication [electronic resource] : With Applications in Cryptography, Physics, Digital Information, Computing, and Self-Similarity |
Author(s): |
Manfred Schroeder |
Date: | 2009 |
Edition: | Fifth Edition |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | 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 andhighlights important conc epts such as continued fractions, the golden ratio, quadratic residues and Chinese remainders, trapdoor functions, pseudoprimes and primitive elements. Their applications to problems in the real world are oneof the main themes of the book. This revised fi fth 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 m arvellous 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 |
Note: | Springer eBooks |
Contents: | Introduction |
The Natural Numbers | |
Primes | |
The Prime Distribution | |
Fractions: Continued, Egyptian and Farey | |
Linear Congruences | |
Diophantine Equations | |
The Theorems of Fermat, Wilson and Euler | |
Permutation, Cycles and Derangements | |
Euler Trap Doors and Public | |
Key Encryption | |
The Divisor Functions | |
The Prime Divisor Functions | |
Certified Signatures | |
Primitive Roots | |
Knapsack Encryption | |
Quadratic Residues | |
The Chinese Remainder Theorem and Simultaneous Congruences | |
Fast Transformations and Kronecker Products | |
Quadratic Congruences | |
Psudoprimes, Poker and Rem | |
ISBN: | 9783540852988 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Coding theory , Number theory , Distribution (Probability theory) , Mathematical physics |
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Call number: | SPRINGER-2009-9783540768784:ONLINE Show nearby items on shelf |
Title: | Algebraic Function Fields and Codes [electronic resource] |
Author(s): |
Henning Stichtenoth |
Date: | 2009 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The theory of algebraic function fields has its origins in number theory, complex analysis (compact Riemann surfaces), and algebraic geometry. Since about 1980, function fields have found surprising applications in other branchesof mathematics such a s coding theory, cryptography, sphere packings and others. The main objective of this book is to provide a purely algebraic, self-contained and in-depth exposition of the theory of function fields. This newedition, published in the series Graduate Texts i n Mathematics, has been considerably expanded. Moreover, the present edition contains numerous exercises. Some of them are fairly easy and help the reader to understand the basicmaterial. Other exercises are more advanced and cover additional material whi ch could not be included in the text. This volume is mainly addressed to graduate students in mathematics and theoretical computer science, cryptography,coding theory and electrical engineering |
Note: | Springer eBooks |
Contents: | 1. Foundations of the Theory of Algebraic Function Fiels |
2. Algebraic Geometry Codes | |
3. Extensions of Algebraic Function Fields | |
4. Differentials of Algebraic Function Fields | |
5. Algebraic Function Fields over Finite Constant Fields | |
6. Examples of Algebraic Function Fields | |
7. Asymptotic Bounds for the Number of Rational Places | |
8. More about Algebraic Geometry Codes | |
9. Subfield Subcodes and Trace Codes | |
Appendix A. Field Theory | |
Appendix B. Algebraic Curves and Algebraic Function Fields | |
Bibliography | |
List of Notations | |
Index | |
ISBN: | 9783540768784 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Graduate Texts in Mathematics, 0072-5285 : v254 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Data structures (Computer science) , Algebra , Geometry, algebraic , Engineering mathematics |
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Call number: | SPRINGER-2009-9783540692003:ONLINE Show nearby items on shelf |
Title: | Elementary Number Theory, Cryptography and Codes [electronic resource] |
Author(s): |
Maria Welleda Baldoni Ciro Ciliberto Giulia Maria Piacentini Cattaneo |
Date: | 2009 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | In this volume one finds basic techniques from algebra and number theory (e.g. congruences, unique factorization domains, finite fields, quadratic residues, primality tests, continued fractions, etc.) which in recent years haveproven to be extremely useful for applications to cryptography and coding theory. Both cryptography and codes have crucial applications in our daily lives, and they are described here, while the complexity problems that arise inimplementing the related numerical algorithms are also taken into due account. Cryptography has been developed in great detail, both in its classical and more recent aspects. In particular public key cryptography is extensivelydiscussed, the use of algebraic geometry, specifically of elliptic curves over finite fields, is illustrated, and a final chapter is devoted to quantum cryptography, which is the new frontier of the field. Coding theory is notdiscussed in full however a chapter, sufficient for a good introduction to the subject, has been devoted to linear codes. Each chapter ends with several complements and with an extensive list of exercises, the solutions to most ofwhich are included in the last chapter. Though the book contains advanced material, such as cryptography on elliptic curves, Goppa c odes using algebraic curves over finite fields, and the recent AKS polynomial primality test, theauthors' objective has been to keep the exposition as self-contained and elementary as possible. Therefore the book will be useful to students and researchers , both in theoretical (e.g. mathematicians) and in applied sciences (e.g.physicists, engineers, computer scientists, etc.) seeking a friendly introduction to the important subjects treated here. The book will also be useful for teachers who intend to give courses on these topics |
Note: | Springer eBooks |
Contents: | A round |
up on numbers | |
Computational complexity | |
From infinite to finite | |
Finite is not enough: factoring integers | |
Finite fields and polynomial congruences | |
Primality and factorisation tests | |
Secrets and lies | |
Transmitting withoutfear of errors | |
The future is already here: quantum cryptography | |
ISBN: | 9783540692003 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Universitext |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Data structures (Computer science) , Algebra , Combinatorics , Geometry , Number theory |
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Call number: | SPRINGER-2009-9783034600781:ONLINE Show nearby items on shelf |
Title: | Entropy and Information [electronic resource] |
Author(s): |
Mikhail V Volkenstein |
Date: | 2009 |
Publisher: | Basel : Birkhuser Basel |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The book Entropy and Information deals with the thermodynamical concept of entropy and its relationship to information theory. It is successful in explaining the universality of the term Entropy not only as a physicalphenomenon, but reveals its exist ence also in other domains. E.g., Volkenstein discusses the meaning of entropy in a biological context and shows how entropy is related to artistic activities. Written by the renowned Russianbio-physicist Mikhail V. Volkenstein, this book on Entropy and I nformation surely serves as a timely introduction to understand entropy from a thermodynamic perspective and is definitely an inspiring and thought-provoking book thatshould be read by every physicist, information-theorist, biologist, and even artist |
Note: | Springer eBooks |
Contents: | 1. Reflections on the motive power of fire ... |
2. The laws of thermodynamics | |
3. Entropy and free energy | |
4. Entropy and probability | |
5. Statistics and mechanics | |
6. Open systems | |
7. Information | |
8. Entropy, information, life | |
ISBN: | 9783034600781 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Progress in Mathematical Physics : v57 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Coding theory , Bioinformatics , Quantum theory |
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Call number: | SPRINGER-2009-9783034600026:ONLINE Show nearby items on shelf |
Title: | Flag-transitive Steiner Designs [electronic resource] |
Author(s): |
Michael Huber |
Date: | 2009 |
Publisher: | Basel : Birkhuser Basel |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The monograph provides the first full discussion of flag-transitive Steiner designs. This is a central part of the study of highly symmetric combinatorial configurations at the interface of several mathematical disciplines, likefinite or incidence ge ometry, group theory, combinatorics, coding theory, and cryptography. In a sufficiently self-contained and unified manner the classification of all flag-transitive Steiner designs is presented. This recent resultsettles interesting and challenging questio ns that have been object of research for more than 40 years. Its proof combines methods from finite group theory, incidence geometry, combinatorics, and number theory. The book contains abroad introduction to the topic, along with many illustrative exampl es. Moreover, a census of some of the most general results on highly symmetric Steiner designs is given in a survey chapter. The monograph is addressed to graduatestudents in mathematics and computer science as well as established researchers in design th eory, finite or incidence geometry, coding theory, cryptography, algebraic combinatorics, and more generally, discrete mathematics |
Note: | Springer eBooks |
Contents: | Preface |
1. Incidence Structures and Steiner Designs | |
2. Permutation Groups and Group Actions | |
3. Number Theoretical Tools | |
4. Highly Symmetric Steiner Designs | |
5. A Census of Highly Symmetric Steiner Designs | |
6. The Classification of Flag | |
transitive Steiner Quadruple Systems | |
7. The Classification of Flag | |
transitive Steiner 3 | |
Designs | |
8. The Classification of Flag | |
transitive Steiner 4 | |
Designs | |
9. The Classification of Flag | |
transitive Steiner 5 | |
Designs | |
10. The Non | |
Existence of Flag | |
transitive Steiner 6 | |
Designs | |
References | |
Index | |
ISBN: | 9783034600026 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Frontiers in Mathematics, 1660-8046 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Combinatorics , Discrete groups |
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Call number: | SPRINGER-2009-9781441901606:ONLINE Show nearby items on shelf |
Title: | Numerical Semigroups [electronic resource] |
Author(s): |
J.C Rosales P. A Garca-Snchez |
Date: | 2009 |
Edition: | First |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This monograph is the first devoted exclusively to the development of the theory of numerical semigroups. In this concise, self-contained text, graduate students and researchers will benefit from this broad exposition of thetopic. Key features of Num erical Semigroups include: - Content ranging from the basics to open research problems and the latest advances in the field - Exercises at the end of each chapter that expand upon and support thematerial - Emphasis on the computational aspects of the theo ry algorithms are presented to provide effective calculations - Many examples that illustrate the concepts and algorithms - Presentation of various connections betweennumerical semigroups and number theory, coding theory, algebraic geometry, linear progra mming, and commutative algebra would be of significant interest to researchers. Numerical Semigroups is accessible to first year graduatestudents, with only a basic knowledge of algebra required, giving the full background needed for readers not familiar with the topic. Researchers will find the tools presented useful in producing examples and counterexamples in otherfields such as algebraic geometry, number theory, and linear programming |
Note: | Springer eBooks |
Contents: | Introduction |
1. Notable Elements | |
2. Numerical Semigroups with Maximal Embedding Dimension | |
3. Irreducible Numerical Semigropus | |
4. Proportionally Modular Numerical Semigroups | |
5. The Quotient of a Numerical Semigroup by a Positive Integer | |
6. Families of Numerical Semigroups Closed Under Finite Intersections and Adjoin of the Frobenius Number | |
7. Presentations of a Numerical Semigroup | |
8. The Gluing of Numerical Semigroups | |
9. Numerical Semigroups with Embedding Dimension Three | |
10. The Structure of a Numerical Semigroup | |
Bibliography. List of Symbols. Index | |
ISBN: | 9781441901606 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Developments in Mathematics, Diophantine Approximation: Festschrift for Wolfgang Schmidt, 1389-2177 : v20 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Algebra , Group theory , Number theory |
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Call number: | SPRINGER-2009-9780817648039:ONLINE Show nearby items on shelf |
Title: | Stochastic Models, Information Theory, and Lie Groups, Volume 1 [electronic resource] : Classical Results and Geometric Methods |
Author(s): |
Gregory S Chirikjian |
Date: | 2009 |
Publisher: | Boston : Birkhuser Boston |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The subjects of stochastic processes, information theory, and Lie groups are usually treated separately from each other. This unique two-volumeset presents these topics in a unified setting, thereby building bridges betweenfields that are rarely stud ied by the same people. Unlike the many excellent formal treatments available for each of these subjects individually, the emphasis in both of these volumes is on the use of stochastic, geometric, andgroup-theoretic concepts in the modeling of physical ph enomena. Volume 1 establishes the geometric and statistical foundations required to understand the fundamentals of continuous-time stochastic processes, differential geometry, andthe probabilistic foundations of information theory. Volume 2 delves deeper into relationships between these topics, including stochastic geometry, geometric aspects of the theory of communications and coding, multivariate statisticalanalysis, and error propagation on Lie groups. Key features and topics of Volume 1: * The author reviews stochastic processes and basic differential geometry in an accessible way for applied mathematicians, scientists, and engineers.* Extensive exercises and motivating examples make the work suitable as a textbook for use in courses that emphasize ap plied stochastic processes or differential geometry. * The concept of Lie groups as continuous sets of symmetryoperations is introduced. * The FokkerPlanck Equation for diffusion processes in Euclidean space and on differentiable manifolds is derived in a way that can be understood by nonspecialists. * The concrete presentation style makesit easy for readers to obtain numerical solutions for their own problems the emphasis is on how to calculate quantities rather than how to prove theorems. * A self-conta ined appendix provides a comprehensive review of concepts fromlinear algebra, multivariate calculus, and systems of ordinary differential equations. Stochastic Models, Information Theory, and Li |
Note: | Springer eBooks |
Contents: | ANHA Series Preface |
Preface | |
Introduction | |
Gaussian Distributions and the Heat Equation | |
Probability and Information Theory | |
Stochastic Differential Equations | |
Geometry of Curves and Surfaces | |
Differential Forms | |
Polytopes and Manifolds | |
Stochastic Processes on Manifolds | |
Summary | |
Appendix: Review of Linear Algebra, Vector Calculus, and Systems Theory | |
Index | |
ISBN: | 9780817648039 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Applied and Numerical Harmonic Analysis |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Group theory , Harmonic analysis , Distribution (Probability theory) , Mathematical physics , Engineering mathematics |
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Call number: | SPRINGER-2009-9780387740706:ONLINE Show nearby items on shelf |
Title: | The Search for Extraterrestrials [electronic resource] Intercepting Alien Signals |
Author(s): |
Monte Ross |
Date: | 2009 |
Publisher: | New York, NY : Praxis |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | In The Search for Extraterrestrials, Monte Ross explores in detail the key problems in starting a search, the programs that have failed and those that continue. He includes the fundamental considerations and the physics of thenecessary laser, UV, IR and RF technologies, as well as coding and information theory considerations. The author explores future possibilities providing the reader with a comprehensive view of the many ways signals from aliens could besent and explains why the search using RF le aves more than 99% of the electromagnetic spectrum unexamined. He also demonstrates the many parts of the electromagnetic spectrum, considering the next likely steps in this uniqueenterprise. Given mans intrinsic nature to explore, the search will continu e in one form or many, until success is achieved, which may be tomorrow or a millennium away. In summary, Monte Ross proposes to get around the failure of afruitless search at radio frequencies by developing, in a precise way, the argument for searching f or transmissions in the optical region of the electromagnetic spectrum |
Note: | Springer eBooks |
Contents: | The likelihood of extraterrestrial intelligence |
Vast distances and long travel times | |
Stars, their evolution and types | |
Planets and our Sun | |
The many constraints on life | |
Why would anyone transmit to us? | |
The Drake Equation and habitable planets | |
The basics of space communication | |
Where to look in the electromagnetic spectrum? | |
Receiver basics and how big is big? | |
Noise and limitations on sensitivity | |
Programs in SETI | |
A brief history of SETI | |
Radio | |
frequency and microwave SETI, including the Allen Telescope Array | |
Early optical SETI and the all | |
sky Harvard system | |
ISBN: | 9780387740706 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Praxis Books |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Astrophysics , Astronomy |
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Call number: | SPRINGER-2008-9783764385392:ONLINE Show nearby items on shelf |
Title: | Recent Advances in Matrix and Operator Theory [electronic resource] |
Author(s): |
Joseph A Ball Yuli Eidelman J. William Helton Vadim Olshevsky James Rovnyak |
Date: | 2008 |
Publisher: | Basel : Birkhuser Basel |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book expands the lectures given at IWOTA05 (International Workshop on Operator Theory and Applications) which was held at the University of Connecticut, Storrs, USA, July 2427, 2005. Many developments on the cuttingedge of research in operator t heory, matrix theory, coding theory, system theory, control theory and numerical linear algebra are reflected in this collection of original articles. The volume is of a cross-disciplinary nature. A numberof papers are devoted to the analysis and algorith ms for matrices with quasiseparable structure which is an active area of concurrent research in numerical linear algebra |
Note: | Springer eBooks |
Contents: | Preface |
List of Participants | |
Research articles | |
ISBN: | 9783764385392 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Operator Theory: Advances and Applications : v179 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Matrix theory , Functional analysis , Operator theory , Mathematical physics |
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Call number: | SPRINGER-2008-9781848002739:ONLINE Show nearby items on shelf |
Title: | Codes: An Introduction to Information Communication and Cryptography [electronic resource] |
Author(s): |
N.L Biggs |
Date: | 2008 |
Publisher: | London : Springer London |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Information is an important feature of the modern world. Mathematical techniques underlie the devices that we use to handle it, for example, mobile phones, digital cameras, and personal computers. This book is an integratedintroduction to the mathema tics of coding, that is, replacing information expressed in symbols, such as a natural language or a sequence of bits, by another message using (possibly) different symbols. There are three main reasons fordoing this: economy, reliability, and security, a nd each is covered in detail. Only a modest mathematical background is assumed, the mathematical theory being introduced at a level that enables the basic problems to be statedcarefully, but without unnecessary abstraction. Other features include: clear a nd careful exposition of fundamental concepts, including optimal coding, data compression, and public-key cryptography concise but complete proofs ofresults coverage of recent advances of practical interest, for example in encryption standards, authentica tion schemes, and elliptic curve cryptography numerous examples and exercises, and a full solutions manual available tolecturers from www.springer.com This modern introduction to all aspects of coding is suitable for advanced undergraduate or postgraduate courses in mathematics, computer science, electrical engineering, or informatics. It is alsouseful for researchers and practitioners in related areas of science, engineering and economics |
Note: | Springer eBooks |
Contents: | Coding and its uses |
Prefix | |
free codes | |
Economical coding | |
Data compression | |
Noisy channels | |
The problem of reliable communication | |
The noisy coding theorems | |
Linear codes | |
Algebraic coding theory | |
Coding natural languages | |
The development of cryptography | |
Cryptography in theory and practice | |
The RSA cryptosystem | |
Cryptography and calculation | |
Elliptic curve cryptography | |
Answers to odd | |
numbered exercises | |
Index | |
ISBN: | 9781848002739 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Undergraduate Mathematics Series, 1615-2085 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Data structures (Computer science) , Coding theory , Combinatorics , Number theory , Telecommunication |
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Call number: | SPRINGER-2007-9783764378080:ONLINE Show nearby items on shelf |
Title: | Quantum Decoherence [electronic resource] : Poincar Seminar 2005 |
Author(s): |
Bertrand Duplantier Jean-Michel Raimond Vincent Rivasseau |
Date: | 2007 |
Publisher: | Basel : Birkhuser Basel |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The Poincar Seminar is held twice a year at the Institute Henri Poincar in Paris. The goal of this seminar is to provide up-to-date information about general topics of great interest in physics. Both the theoretical andexperimental results are covere d, with some historical background. Particular care is devoted to the pedagogical nature of the presentation. This volume is devoted to Quantum Decoherence. A broad perspective on the subject is providedby the contributions of W. H. Zurek, H. D. Zeh and E . Joos, together with clean up-to-date presentations of the actual experiments on decoherence both in the mesoscopic systems of atomic physics, by J.M. Raimond and S. Haroche, and inthe quantronic or condensed matter context, by D. Esteve et al. Further, the question of quantum codes and error corrections is discussed in the contribution of J. Kempe |
Note: | Springer eBooks |
Contents: | Decoherence and the Transition from Quantum to Classical Revisited |
Monitoring the Decoherence of Mesoscopic Quantum Superpositions in a Cavity | |
Approaches to Quantum Error Correction | |
Decoherence of a Quantum Bit Circuit | |
Roots and Fruits of Decoherence | |
Dynamical Consequences of Strong Entanglement | |
ISBN: | 9783764378080 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Progress in Mathematical Physics : v48 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Coding theory , Quantum theory , Mathematical physics |
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Call number: | SPRINGER-2007-9783540688884:ONLINE Show nearby items on shelf |
Title: | Psychoacoustics [electronic resource] : Facts and Models |
Author(s): |
Hugo Fastl Eberhard Zwicker |
Date: | 2007 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Psychoacoustics Facts and Models offers a unique, comprehensive summary of information describing the processing of sound by the human hearing system. It includes quantitative relations between sound stimuli and auditoryperception in terms of hearin g sensations, for which quantitative models are given, as well as an unequalled collection of data on the human hearing system as a receiver of acoustic information. In addition, many examples of thepractical application of the results of basic research i n fields such as noise control, audiology, or sound quality engineering are detailed. The third edition includes an additional chapter on audio-visual interactions andapplications, plus more on applications throughout.Reviews of previous editions havechar acterizedit asan essential source of psychoacoustic knowledge, a major landmark , and a book that without doubt will have along-lasting effect on the standing and future evolution of this scientific domain. |
Note: | Springer eBooks |
Contents: | Stimuli and procedures |
Hearing area | |
Information processing in the auditory systems | |
Masking | |
Pitch and pitch strength | |
Critical bands and excitation | |
Just | |
noticeable sound changes | |
Loudness | |
Sharpness and sensory pleasantness | |
Fluctuation strength | |
Roughness | |
Subjective duration | |
Rhythm | |
The ear's own nonlinear distortion | |
Binaural hearing | |
Audio | |
visual interactions | |
Examples of applications | |
ISBN: | 9783540688884 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Coding theory , Acoustics , Telecommunication |
Availability: | Click here to see Library holdings or inquire at
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Call number: | SPRINGER-2007-9783540327776:ONLINE Show nearby items on shelf |
Title: | Entropy, Search, Complexity [electronic resource] |
Author(s): |
Imre Csiszr Gyula O. H Katona Gbor Tardos Gbor Wiener |
Date: | 2007 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The present volume is a collection of survey papers in the fields of entropy, search and complexity. They summarize the latest developments in their respective areas. More than half of the papers belong to search theory which lieson the borderline of mathematics and computer science, information theory and combinatorics, respectively. Search theory has variegated applications, among others in bioinformatics. Some of these papers also have links to linearstatistics and communicational complexity. Furt her works survey the fundamentals of information theory and quantum source coding. The volume is recommended to experienced researchers as well as young scientists and students both inmathematics and computer science |
Note: | Springer eBooks |
Contents: | Preface |
M. Aigner: Two colors and More | |
Chr. Deppe: Coding with Feedback and Searching with Lies | |
S. Ghosh, T. Shirakura, J.N. Shrivastava: Model Identification Using Search Linear Models and Search Designs | |
A.G. D'yachkov, A.J. Macula, P.A. Vilenkin: Non | |
adaptive and Trivial Two | |
Stage Group Testing with Error | |
Correcting de | |
Disjunct Inclusion Matrices | |
P. Harremoes: Information Topologies with Applications | |
M. Keane: Reinforced Random Walk | |
D. Petz: Quantum Source Coding and Data Compression | |
F. Topsoe: Information Theory at the Service of Science | |
P. Vitanyi: Analysis of So | |
ISBN: | 9783540327776 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Bolyai Society Mathematical Studies, 1217-4696 : v16 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Coding theory , Computer software , Bioinformatics , Combinatorics , Topology , Economics Statistics |
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Call number: | SPRINGER-2007-9781402053344:ONLINE Show nearby items on shelf |
Title: | Topics in Geometry, Coding Theory and Cryptography [electronic resource] |
Author(s): |
Arnaldo Garcia Henning Stichtenoth |
Date: | 2007 |
Publisher: | Dordrecht : Springer Netherlands |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The theory of algebraic function fields over finite fields has its origins in number theory. However, after Goppa`s discovery of algebraic geometry codes around 1980, many applications of function fields were found in differentareas of mathematics an d information theory, such as coding theory, sphere packings and lattices, sequence design, and cryptography. The use of function fields often led to better results than those of classical approaches. This bookpresents survey articles on some of these new developments. Most of the material is directly related to the interaction between function fields and their various applications in particular the structure and the number of rationalplaces of function fields are of great significance. The topics focus o n material which has not yet been presented in other books or survey articles. Wherever applications are pointed out, a special effort has been made to present somebackground concerning their use |
Note: | Springer eBooks |
ISBN: | 9781402053344 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Algebra and Applications : v6 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Data encryption (Computer science) , Coding theory , Geometry, algebraic , Number theory |
Availability: | Click here to see Library holdings or inquire at
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Call number: | SPRINGER-2006-9783540332190:ONLINE Show nearby items on shelf |
Title: | Algorithmic Information Theory [electronic resource] : Mathematics of Digital Information |
Author(s): |
Peter Seibt |
Date: | 2006 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book treats the Mathematics of many important areas in digital information processing. It covers, in a unified presentation, five topics: Data Compression, Cryptography, Sampling (Signal Theory), Error Control Codes, DataReduction. The thematic choices are practice-oriented. So, the important final part of the book deals with the Discrete Cosine Transform and the Discrete Wavelet Transform, acting in image compression. The presentation is dense, theexamples and numerous exercises are concrete. T he pedagogic architecture follows increasing mathematical complexity. A read-and-learn book on Concrete Mathematics, for teachers, students and practitioners in Electronic Engineering,Computer Science and Mathematics |
Note: | Springer eBooks |
Contents: | Data Compaction |
Cryptography | |
Information Theory and Signal Theory: Sampling and Reconstruction | |
Error Control Codes | |
Data Reduction: Lossy Compression | |
ISBN: | 9783540332190 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Signals and Communication Technology, 1860-4862 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Coding theory , Computational complexity , Algorithms , Engineering mathematics , Engineering |
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Call number: | SPRINGER-2006-9783540317036:ONLINE Show nearby items on shelf |
Title: | Error-Correcting Linear Codes [electronic resource] : Classification by Isometry and Applications |
Author(s): |
Anton Betten Michael Braun Harald Fripertinger Adalbert Kerber Axel Kohnert Alfred Wassermann |
Date: | 2006 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This text offers a thorough introduction to the mathematical concepts behind the theory of error-correcting linear codes. Care is taken to introduce the necessary algebraic concepts, for instance the theory of finite fields, thepolynomial rings over such fields and the ubiquitous concept of group actions that allows the classification of codes by isometry. The book provides in-depth coverage of important topics like cyclic codes and the coding theory used incompact disc players. The final four chapte rs cover advanced and algorithmic topics like the classification of linear codes by isometry, the enumeration of isometry classes, random generation of codes, the use of lattice basisreduction to compute minimum distances, the explicit construction of cod es with given parameters, as well as the systematic evaluation of representatives of all isometry classes of codes. Up until now, these advanced topics have onlybeen covered in research papers. The present book provides access to these results at a level which is suitable for graduate students of mathematics, computer science and engineering as well as for researchers |
Note: | Springer eBooks |
Contents: | Preface |
1 Linear Codes | |
2 Bounds and Modifications | |
3 Finite Fields | |
4 Cyclic Codes | |
5 Particular Series of Cyclic Codes | |
6 Encoding and Decoding of Cyclic Codes | |
7 Mathematics Behind Audio Compact Discs | |
8 Enumeration of Isometry Classes | |
9 Solving Diophantine Linear Systems | |
10 Linear Codes with a Prescribed Minimum Distance | |
11 Exhaustive Construction of Linear Codes | |
References | |
ISBN: | 9783540317036 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Algorithms and Computation in Mathematics, 1431-1550 : v18 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Coding theory , Algebra , Algorithms , Combinatorics |
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Call number: | SPRINGER-2006-9783540307310:ONLINE Show nearby items on shelf |
Title: | Self-Dual Codes and Invariant Theory [electronic resource] |
Author(s): |
Gabriele Nebe Eric M Rains Neil J.A Sloane |
Date: | 2006 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | One of the most remarkable and beautiful theorems in coding theory is Gleason's 1970 theorem about the weight enumerators of self-dual codes and their connections with invariant theory. In the past 35 years there have beenhundreds of papers written a bout generalizations and applications of this theorem to different types of codes. This self-contained book develops a new theory which is powerful enough to include all the earlier generalizations. It isalso in part an encyclopedia that gives a very exte nsive list of the different types of self-dual codes and their properties, including tables of the best codes that are presently known. Besides self-dual codes, the book also discussestwo closely-related subjects, lattices and modular forms, and quantum e rror-correcting codes. This book, written by the leading experts in the subject, has no equivalent in the literature and will be of great interest tomathematicians, communication theorists, computer scientists and physicists |
Note: | Springer eBooks |
Contents: | Preface |
1 The Type of a Self | |
Dual Code | |
2 Weight Enumerators and Important Types | |
3 Closed Codes | |
4 The Category Quad | |
5 The Main Theorems | |
6 Real and Complex Clifford Groups | |
7 Classical Self | |
Dual Codes | |
8 Further Examples of Self | |
Dual Codes | |
9 Lattices | |
10 Maximal Isotropic Codes and Lattices | |
11 Extremal and Optimal Codes | |
12 Enumeration of Self | |
Dual Codes | |
13 Quantum Codes | |
Bibliography | |
Index | |
ISBN: | 9783540307310 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Algorithms and Computation in Mathematics, 1431-1550 : v17 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Coding theory , Algebra , Group theory , Number theory , Quantum computing |
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Call number: | SPRINGER-2006-9783540302667:ONLINE Show nearby items on shelf |
Title: | Quantum Information [electronic resource] : An Introduction |
Author(s): |
Masahito Hayashi |
Date: | 2006 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Recently, quantum information theory has been developing through a fusion of results from various research fields. This requires that understanding of basic results on diverse topics, and derived from different disciplinaryperspectives, is required f or appreciating the overall picture. Intended to merge key topics from both the information-theoretic and quantum- mechanical viewpoints, this graduate-level textbook provides a unified viewpoint of quantuminformation theory and lucid explanations of thos e basic results, so that the reader fundamentally grasps advances and challenges. For example, advanced topics in quantum communication such as quantum teleportation, superdense coding,quantum state transmission (quantum error-correction), and quantum enc ryption especially benefit from this unified approach. Unlike earlier treatments, the text requires knowledge of only linear algebra, probability theory, and quantummechanics, while it treats the topics of quantum hypothesis testing and the discrimination of quantum states, and quantum channel coding (message transmission) with the minimal amount of math needed to convey their essence. Solving themore than 240 exercises provides readers with practice that not only enriches their knowledge of quantum infor mation theory, but also can equip them with the techniques necessary for pursuing their own research in this field |
Note: | Springer eBooks |
Contents: | Introduction |
1. Mathematical Formulation of Quantum Systems | |
2. Information Quantities and Parameter Estimation in Classical System | |
3. Quantum Hypothesis Testing and Discrimination of Quantum States | |
4. Classical | |
Quantum Channel Coding (Message Transmission) | |
5. State Evolution and Trace Preserving Completely Positive Maps | |
6. Quantum Information Geometry and Quantum Estimation | |
7. Quantum Measurements and State Reduction | |
8. Entanglement and Locality Restrictions | |
9. Analysis of Quantum Communication Protocols | |
10. Source Coding in Quantum System | |
A. Limits and Linear | |
ISBN: | 9783540302667 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Quantum computing |
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Call number: | SPRINGER-2006-9783540289913:ONLINE Show nearby items on shelf |
Title: | Classification Algorithms for Codes and Designs [electronic resource] |
Author(s): |
Petteri Kaski Patric R.J stergrd |
Date: | 2006 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book considers one of the basic problems in discrete mathematics: given a collection of constraints, describe up to isomorphism all the objects that meet them. Only a handful of classification results for combinatorialobjects are dated before th e mid-20th century indeed, it is through modern computers and recent developments in algorithms that this topic has flourished and matured. This book is the first comprehensive reference on combinatorialclassification algorithms, with emphasis on both the general theory and application to central families of combinatorial objects, in particular, codes and designs. The book will be of great interest to researchers and can be used ascourse material for graduate courses in both computer science and mathemati cs |
Note: | Springer eBooks |
ISBN: | 9783540289913 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Algorithms and Computation in Mathematics, 1431-1550 : v15 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Coding theory , Computer science Mathematics , Combinatorics , Telecommunication |
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Call number: | SPRINGER-2006-9783540265986:ONLINE Show nearby items on shelf |
Title: | Number Theory in Science and Communication [electronic resource] : With Applications in Cryptography, Physics, Digital Information, Computing, and Self-Similarity |
Author(s): |
Manfred R Schroeder |
Date: | 2006 |
Edition: | Fourth Edition |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | 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 andhighlights important conc epts such as continued fractions, the golden ratio, quadratic residues and Chinese remainders, trapdoor functions, pseudoprimes and primitive elements. Their applications to problems in the real world are oneof the main themes of the book. This revised fo urth edition is augmented by recent advances in primes in progressions, twin primes, prime triplets, prime quadruplets and quintruplets, factoring with elliptic curves, quantum factoring,Golomb rulers and baroque integers. From reviews of earlier editions I continue to find [Schroeders] Number Theory a goldmine of valuable information. It is a marvellous book, in touch with the most recent applications ofnumber 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 usefulmathematics outside the formalities of theorem and proof. Martin Gardner |
Note: | Springer eBooks |
Contents: | The Natural Numbers |
Primes | |
The Prime Distribution | |
Fractions: Continued, Egyptian and Farey | |
Linear Congruences | |
Diophantine Equations | |
The Theorems of Fermat, Wilson and Euler | |
Euler Trap Doors and Public | |
Key Encryption | |
The Divisor Functions | |
The Prime Divisor Functions | |
Certified Signatures | |
Primitive Roots | |
Knapsack Encryption | |
Quadratic Residues | |
The Chinese Remainder Theorem and Simultaneous Congruences | |
Fast Transformation and Kronecker Products | |
Quadratic Congruences | |
Pseudoprimes, Poker and Remote Coin Tossing | |
The Mbius Function and the Mbius | |
ISBN: | 9783540265986 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Series in Information Sciences, 0720-678X : v7 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Coding theory , Number theory , Distribution (Probability theory) , Mathematical physics |
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