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1 Salas, Manuel D Computational Aerosciences in the 21st Century I11412 2000 eBook  
2 Schroeder, M.R Number Theory in Science and Communication I08416 2006 eBook  
3 Schroeder, Manfred Number Theory in Science and Communication I07480 2009 eBook  
4 Rosenberg, Ivo G Algebras and Orders I05135 1993 eBook  
5 Schroeder, Manfred R Number Theory in Science and Communication I04536 1986 eBook  
6 Luck, Jean-Marc Number Theory and Physics I04329 1990 eBook  
7 Schroeder, Manfred Number Theory in Science and Communication I02775 1997 eBook  
8 Waldschmidt, Michel From Number Theory to Physics I02278 1992 eBook  
9 Schroeder, Manfred R Number Theory in Science and Communication I01692 1984 eBook  
10 Branner, B Real and Complex Dynamical Systems I01006 1995 eBook  
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1.    
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TitleComputational Aerosciences in the 21st Century : Proceedings of the ICASE/LaRC/NSF/ARO Workshop, conducted by the Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, The National Science Foundation and the Army Research Office, April 22???24, 1998
Author(s)Salas, Manuel D;Anderson, W. Kyle
PublicationDordrecht, 1. Imprint: Springer 2. Springer Netherlands, 2000.
DescriptionIX, 292 p : online resource
Abstract NoteOver the last decade, the role of computational simulations in all aspects of aerospace design has steadily increased. However, despite the many advances, the time required for computations is far too long. This book examines new ideas and methodologies that may, in the next twenty years, revolutionize scientific computing. The book specifically looks at trends in algorithm research, human computer interface, network-based computing, surface modeling and grid generation and computer hardware and architecture. The book provides a good overview of the current state-of-the-art and provides guidelines for future research directions. The book is intended for computational scientists active in the field and program managers making strategic research decisions
ISBN,Price9789401009485
Keyword(s)1. Aerospace engineering 2. Aerospace Technology and Astronautics 3. ASTRONAUTICS 4. COMPUTERS 5. EBOOK 6. EBOOK - SPRINGER 7. Mathematical Modeling and Industrial Mathematics 8. MATHEMATICAL MODELS 9. MICROPROCESSORS 10. NUMBER THEORY 11. Numeric Computing 12. NUMERICAL ANALYSIS 13. Processor Architectures 14. Theory of Computation
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2.     
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TitleNumber Theory in Science and Communication : With Applications in Cryptography, Physics, Digital Information, Computing, and Self-Similarity
Author(s)Schroeder, M.R
PublicationBerlin, Heidelberg, 1. Imprint: Springer 2. Springer Berlin Heidelberg, 2006.
DescriptionXXVI, 367 p. 99 illus., 4 illus. in color : online resource
Abstract 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 and highlights important concepts 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 one of the main themes of the book. This revised fourth 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 [Schroeder???s] Number Theory a goldmine of valuable information. It is a marvellous 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
ISBN,Price9783540265986
Keyword(s)1. Coding and Information Theory 2. CODING THEORY 3. EBOOK 4. EBOOK - SPRINGER 5. INFORMATION THEORY 6. Mathematical Methods in Physics 7. NUMBER THEORY 8. Numerical and Computational Physics, Simulation 9. PHYSICS 10. PROBABILITIES 11. Probability Theory and Stochastic Processes
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TitleNumber Theory in Science and Communication : With Applications in Cryptography, Physics, Digital Information, Computing, and Self-Similarity
Author(s)Schroeder, Manfred
PublicationBerlin, Heidelberg, 1. Imprint: Springer 2. Springer Berlin Heidelberg, 2009.
DescriptionXXIV, 431 p : online resource
Abstract 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 and highlights important concepts 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 one of the main themes of the book. This revised fifth edition is augmented by recent advances in coding theory, permutations and derangements and a chapter in quantum cryptography. From reviews of earlier editions ??? "I continue to find [Schroeder???s] Number Theory a goldmine of valuable information. It is a marvellous 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
ISBN,Price9783540852988
Keyword(s)1. Coding and Information Theory 2. CODING THEORY 3. EBOOK 4. EBOOK - SPRINGER 5. INFORMATION THEORY 6. Mathematical Methods in Physics 7. NUMBER THEORY 8. Numerical and Computational Physics, Simulation 9. PHYSICS 10. PROBABILITIES 11. Probability Theory and Stochastic Processes
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4.     
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TitleAlgebras and Orders
Author(s)Rosenberg, Ivo G;Sabidussi, Gert
PublicationDordrecht, 1. Imprint: Springer 2. Springer Netherlands, 1993.
DescriptionXVIII, 558 p : online resource
Abstract NoteIn the summer of 1991 the Department of Mathematics and Statistics of the Universite de Montreal was fortunate to host the NATO Advanced Study Institute "Algebras and Orders" as its 30th Seminaire de mathematiques superieures (SMS), a summer school with a long tradition and well-established reputation. This book contains the contributions of the invited speakers. Universal algebra- which established itself only in the 1930's- grew from traditional algebra (e.g., groups, modules, rings and lattices) and logic (e.g., propositional calculus, model theory and the theory of relations). It started by extending results from these fields but by now it is a well-established and dynamic discipline in its own right. One of the objectives of the ASI was to cover a broad spectrum of topics in this field, and to put in evidence the natural links to, and interactions with, boolean algebra, lattice theory, topology, graphs, relations, automata, theoretical computer science and (partial) orders. The theory of orders is a relatively young and vigorous discipline sharing certain topics as well as many researchers and meetings with universal algebra and lattice theory. W. Taylor surveyed the abstract clone theory which formalizes the process of compos?? ing operations (i.e., the formation of term operations) of an algebra as a special category with countably many objects, and leading naturally to the interpretation and equivalence of varieties
ISBN,Price9789401706971
Keyword(s)1. ALGEBRA 2. Computer science???Mathematics 3. Discrete Mathematics in Computer Science 4. EBOOK 5. EBOOK - SPRINGER 6. MATHEMATICAL LOGIC 7. Mathematical Logic and Foundations 8. NUMBER THEORY 9. Order, Lattices, Ordered Algebraic Structures 10. Ordered algebraic structures 11. TOPOLOGY
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5.     
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TitleNumber Theory in Science and Communication : With Applications in Cryptography, Physics, Digital Information, Computing, and Self-Similarity
Author(s)Schroeder, Manfred R
PublicationBerlin, Heidelberg, 1. Imprint: Springer 2. Springer Berlin Heidelberg, 1986.
DescriptionXIX, 374 p : online resource
Abstract Note"Beauty is the first test: there is no permanent place in the world for ugly mathematics. " - G. H. Hardy Number theory has been considered since time immemorial to be the very paradigm of pure (some would say useless) mathematics. In fact, the Chinese characters for mathematics are Number Science. "Mathematics is the queen of sciences - and number theory is the queen of mathematics," according to Carl Friedrich Gauss, the lifelong Wunderkind, who himself enjoyed the epithet "Princeps Mathematicorum. " What could be more beautiful than a deep, satisfying relation between whole numbers. (One is almost tempted to call them wholesome numbers') In fact, it is hard to come up with a more appropriate designation than their learned name: the integers - meaning the "untouched ones". How high they rank, in the realms of pure thought and aesthetics, above their lesser brethren: the real and complex number- whose first names virtually exude unsavory involvement with the complex realities of everyday life! Yet, as we shall see in this book, the theory of integers can provide totally unexpected answers to real-world problems. In fact, discrete mathematics is taking on an ever more important role. If nothing else, the advent of the digital computer and digital communication has seen to that. But even earlier, in physics the emergence of quantum mechanics and discrete elementary particles put a premium on the methods and, indeed, the spirit of discrete mathematics
ISBN,Price9783662222461
Keyword(s)1. Coding and Information Theory 2. CODING THEORY 3. EBOOK 4. EBOOK - SPRINGER 5. INFORMATION THEORY 6. Mathematical Methods in Physics 7. NUMBER THEORY 8. Numerical and Computational Physics, Simulation 9. PHYSICS 10. PROBABILITIES 11. Probability Theory and Stochastic Processes
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6.     
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TitleNumber Theory and Physics : Proceedings of the Winter School, Les Houches, France, March 7???16, 1989
Author(s)Luck, Jean-Marc;Moussa, Pierre;Waldschmidt, Michel
PublicationBerlin, Heidelberg, 1. Imprint: Springer 2. Springer Berlin Heidelberg, 1990.
DescriptionXIII, 311 p : online resource
Abstract Note7 Les Houches Number theory, or arithmetic, sometimes referred to as the queen of mathematics, is often considered as the purest branch of mathematics. It also has the false repu?? tation of being without any application to other areas of knowledge. Nevertheless, throughout their history, physical and natural sciences have experienced numerous unexpected relationships to number theory. The book entitled Number Theory in Science and Communication, by M.R. Schroeder (Springer Series in Information Sciences, Vol. 7, 1984) provides plenty of examples of cross-fertilization between number theory and a large variety of scientific topics. The most recent developments of theoretical physics have involved more and more questions related to number theory, and in an increasingly direct way. This new trend is especially visible in two broad families of physical problems. The first class, dynamical systems and quasiperiodicity, includes classical and quantum chaos, the stability of orbits in dynamical systems, K.A.M. theory, and problems with "small denominators", as well as the study of incommensurate structures, aperiodic tilings, and quasicrystals. The second class, which includes the string theory of fundamental interactions, completely integrable models, and conformally invariant two-dimensional field theories, seems to involve modular forms and p?? adic numbers in a remarkable way
ISBN,Price9783642754050
Keyword(s)1. COMPLEX SYSTEMS 2. CRYSTALLOGRAPHY 3. Crystallography and Scattering Methods 4. DYNAMICAL SYSTEMS 5. EBOOK 6. EBOOK - SPRINGER 7. NUMBER THEORY 8. STATISTICAL PHYSICS 9. Statistical Physics and Dynamical Systems
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7.     
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TitleNumber Theory in Science and Communication : With Applications in Cryptography, Physics, Digital Information, Computing, and Self-Similarity
Author(s)Schroeder, Manfred
PublicationBerlin, Heidelberg, 1. Imprint: Springer 2. Springer Berlin Heidelberg, 1997.
DescriptionXXII, 364 p : online resource
Abstract NoteNumber Theory in Science and Communication is an introduction for non-mathematicians. The book stresses intuitive understanding rather than abstract theory and highlights important concepts such as continued fractions, the golden ratio, quadratic residues and Chinese remainders, trapdoor functions, pseudoprimes and primituve elements. Their applications to problems in the real world is one of the main themes of the book. This third 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
ISBN,Price9783662034309
Keyword(s)1. Coding and Information Theory 2. CODING THEORY 3. EBOOK 4. EBOOK - SPRINGER 5. INFORMATION THEORY 6. Mathematical Methods in Physics 7. NUMBER THEORY 8. Numerical and Computational Physics, Simulation 9. PHYSICS 10. PROBABILITIES 11. Probability Theory and Stochastic Processes
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I02775     On Shelf    

8.     
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TitleFrom Number Theory to Physics
Author(s)Waldschmidt, Michel;Moussa, Pierre;Luck, Jean-Marc;Itzykson, Claude
PublicationBerlin, Heidelberg, 1. Imprint: Springer 2. Springer Berlin Heidelberg, 1992.
DescriptionXIII, 690 p : online resource
Abstract NoteThe present book contains fourteen expository contributions on various topics connected to Number Theory, or Arithmetics, and its relationships to Theoreti?? cal Physics. The first part is mathematically oriented; it deals mostly with ellip?? tic curves, modular forms, zeta functions, Galois theory, Riemann surfaces, and p-adic analysis. The second part reports on matters with more direct physical interest, such as periodic and quasiperiodic lattices, or classical and quantum dynamical systems. The contribution of each author represents a short self-contained course on a specific subject. With very few prerequisites, the reader is offered a didactic exposition, which follows the author's original viewpoints, and often incorpo?? rates the most recent developments. As we shall explain below, there are strong relationships between the different chapters, even though every single contri?? bution can be read independently of the others. This volume originates in a meeting entitled Number Theory and Physics, which took place at the Centre de Physique, Les Houches (Haute-Savoie, France), on March 7 - 16, 1989. The aim of this interdisciplinary meeting was to gather physicists and mathematicians, and to give to members of both com?? munities the opportunity of exchanging ideas, and to benefit from each other's specific knowledge, in the area of Number Theory, and of its applications to the physical sciences. Physicists have been given, mostly through the program of lectures, an exposition of some of the basic methods and results of Num?? ber Theory which are the most actively used in their branch
ISBN,Price9783662028384
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. History and Philosophical Foundations of Physics 4. MATHEMATICAL PHYSICS 5. NUMBER THEORY 6. PHYSICS 7. Theoretical, Mathematical and Computational Physics
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9.     
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TitleNumber Theory in Science and Communication : With Applications in Cryptography, Physics, Biology, Digital Information, and Computing
Author(s)Schroeder, Manfred R
PublicationBerlin, Heidelberg, 1. Imprint: Springer 2. Springer Berlin Heidelberg, 1984.
DescriptionXVI, 326 p : online resource
Abstract Note"Beauty is the first test: there is no permanent place in the world for ugly mathematics. " - G. H. Hardy N umber theory has been considered since time immemorial to be the very paradigm of pure (some would say useless) mathematics. In fact, the Chinese characters for mathematics are Number Science. "Mathematics is the queen of sciences - and number theory is the queen of mathematics," according to Carl Friedrich Gauss, the lifelong Wunderkind, who hirnself enjoyed the epithet "Princeps Mathematicorum. " What could be more beautiful than a deep, satisfying relation between whole numbers. {One is almost tempted to call them wholesome numbersJ In fact, it is hard to come up with a more appropriate designation than their learned name: the integers - meaning the "untouched ones". How high they rank, in the realms of pure thought and aesthetics, above their lesser brethren: the real and complex number- whose first names virtually exude unsavory involvement with the complex realities of everyday life! Yet, as we shall see in this book, the theory of integers can provide totally unexpected answers to real-world problems. In fact, discrete mathematics is ta king on an ever more important role. If nothing else, the advent of the digital computer and digital communication has seen to that. But even earlier, in physics the emergence of quantum mechanics and discrete elementary particles put a premium on the methods and, indeed, the spirit of discrete mathematics
ISBN,Price9783662023952
Keyword(s)1. Coding and Information Theory 2. CODING THEORY 3. EBOOK 4. EBOOK - SPRINGER 5. INFORMATION THEORY 6. NUMBER THEORY
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I01692     On Shelf    

10.    
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TitleReal and Complex Dynamical Systems
Author(s)Branner, B;Hjorth, Poul
PublicationDordrecht, 1. Imprint: Springer 2. Springer Netherlands, 1995.
DescriptionXVIII, 348 p : online resource
Abstract NoteThis volume contains edited versions of 11 contributions given by main speakers at the NATO Advanced Study Institute on lReal and Complex Dynamical Systems in Hiller0d, Denmark, June 20th - July 2nd, 1993. The vision of the institute was to illustrate the interplay between two important fields of Mathematics: Real Dynamical Systems and Complex Dynamical Systems. The interaction between these two fields has been growing over the years. Problems in Real Dynamical Systems have recently been solved using complex tools in the real or by extension to the complex. In return, problems in Complex Dynamical Systems have been settled using results from Real Dynamical Systems. The programme of the institute was to examine the state of the art of central parts of both Real and Complex Dynamical Systems, to reinforce contact between the two aspects of the theory and to make recent progress in each accessible to a larger group of mathematicians
ISBN,Price9789401584395
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. EBOOK 4. EBOOK - SPRINGER 5. GLOBAL ANALYSIS (MATHEMATICS) 6. Global Analysis and Analysis on Manifolds 7. Manifolds (Mathematics) 8. MATHEMATICAL ANALYSIS 9. NUMBER THEORY
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