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[null,"1.","Record Nr.",null,"UNINA990000022970403321"]
[null,null,"Autore",null,"Hovanessian, Shahen Alexander"]
[null,null,"Titolo",null,"Introduction to sensor systems / S. A. Hovanessian"]
[null,null,"Pubbl/distr/stampa",null,"Norwood, MA : Artech house, c1988"]
[null,null,"ISBN",null,"0-89006-271-4"]
[null,null,"Descrizione fisica",null,"XV, 300 p. : ill. ; 24 cm"]
[null,null,"Collana",null,"The Artech house communication and electronic defense library"]
[null,null,"Disciplina",null,"621.384'8"]
[null,null,"Locazione",null,"DINEL"]
[{"$nulls":4},"FINBC"]
[null,null,"Collocazione",null,"10 E II 161"]
[{"$nulls":4},"13 F 74 23"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,"2.","Record Nr.",null,"UNINA9910816414903321"]
[null,null,"Autore",null,"Reilly Norman R."]
[null,null,"Titolo",null,"Introduction to applied algebraic systems / / Norman R. Reilly"]
[null,null,"Pubbl/distr/stampa",null,"New York, New York : , : Oxford University Press, , 2009"]
[{"$nulls":4},"©2009"]
[null,null,"ISBN",null,"0-19-772720-4"]
[{"$nulls":4},"0-19-970992-0"]
[null,null,"Descrizione fisica",null,"1 online resource (xiii, 509 p. ) : ill"]
[null,null,"Disciplina",null,"512/.482"]
[null,null,"Soggetti",null,"Algebra"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Formerly CIP."]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"CONTENTS ; 1. Modular Arithmetic; 1.1 Sets, functions, numbers; 1.2 Induction; 1.3 Divisibility; 1.4 Prime Numbers; 1.5 Relations and Partitions; 1.6 Modular Arithmetic; 1.7 Equations in Zn; 1.8 Bar codes; 1.9 The Chinese Remainder Theorem; 1.10 Euler's '-function; 1.11 Theorems of Euler and Fermat; 1.12 Public Key Cryptosystems ; 2. Rings and Fields; 2.1 Basic Properties; 2.2 Subrings and Subfields; 2.3 Review of Vector Spaces; 2.4 Polynomials; 2.5 Polynomial Evaluation and Interpolation; 2.6 Irreducible Polynomials; 2.7 Construction of Finite Fields; 2.8 Extension Fields; 2.9 Multiplicative Structure of Finite Fields; 2.10 Primitive Elements; 2.11 Subfield Structure of Finite Fields; 2.12 Minimal Polynomials; 2.13 Isomorphisms Between Fields; 2.14 Error Correcting Codes ; 3. Groups and Permutations; 3.1 Basic Properties; 3.2 Subgroups; 3.3 Permutation Groups; 3.4 Matrix Groups; 3.5 Even and Odd Permutations; 3.6 Cayley's Theorem; 3.7 Lagrange's Theorem; 3.8 Orbits; 3.9 Orbit/Stabilizer Theorem; 3.10 Burnside's Theorem; 3.11 K-Colourings; 3.12; 4. Groups; Homomorphisms and Subgroups; 4.1 Homomorphisms; 4.2 The Isomorphism Theorems; 4.3 Direct Products; 4.4 Finite Abelian Groups; 4.5 Conjugacy and the Class Equation; 4.6 The Sylow Theorems 1 and 2; 4.7 Sylow's Third Theorem; 4.8 Solvable Groups; 4.9 Nilpotent Groups ; 5. Rings and Polynomials; 5.1 Homomorphisms and Ideals; 5.2 Polynomial Rings; 5.3 Division Algorithm in F[x1, x2, ... , xn]; Single Divisor; 5.4 Multiple Divisors; Groebner Bases; 5.5 Ideals and Affine Varieties; 5.6 Complex Numbers; 5.7 Decomposition of Affine Varieties; 5.8 Cubic Equations in One Variable; 5.9 Parameters; 5.10 Singular and Nonsingular Points ; 6. "]
[{"$nulls":4},"Elliptic Curves; 6.1 Elliptic Curves; 6.2 Homogeneous Polynomials; 6.3 Projective Space; 6.4 Intersection of Lines and Curves; 6.5 Defining Curves by Points; 6.6 Classification of Conics; 6.7 Reducible Conics and Cubics; 6.8 The Nine Point Theorem; 6.9 Groups on Elliptic Curves; 6.10 The Arithmetic on an Elliptic Curve; 6.11 Results Concerning the Structure of Groups on Elliptic Curves ; 7. Further Topics Relating to Elliptic Curves 418; 7.1 Elliptic Curve Cryptosystems; 7.2 Fermat's Last Theorem; 7.3 Elliptic Curve Factoring Algorithm; 7.4 Singular Curves of Form y2 = x3 + ax + b; 7.5 Birational Equivalence; 7.6 The Genus of a Curve; 7.7 Pell's Equation"]
[null,null,null,"Sommario/riassunto","This resource provides a rigorous and extensive undergraduate introduction to algebraic systems covering basic number theory, rings, fields, polynomial theory, groups, algebraic geometry and elliptic curves."]
[null,"3.","Record Nr.",null,"UNINA9910438033003321"]
[null,null,"Autore",null,"Tonti Enzo"]
[null,null,"Titolo",null,"The Mathematical Structure of Classical and Relativistic Physics : A General Classification Diagram / / by Enzo Tonti"]
[null,null,"Pubbl/distr/stampa",null,"New York, NY : , : Springer New York : , : Imprint : Birkhäuser, , 2013"]
[null,null,"ISBN",null,"1-4614-7422-1"]
[null,null,"Edizione",null,"[1st ed. 2013.]"]
[null,null,"Descrizione fisica",null,"1 online resource (537 p.)"]
[null,null,"Collana",null,"Modeling and Simulation in Science, Engineering and Technology, , 2164-3679"]
[null,null,"Disciplina",null,"530.15"]
[null,null,"Soggetti",null,"Mathematical physics"]
[{"$nulls":4},"Physics"]
[{"$nulls":4},"Differential equations, Partial"]
[{"$nulls":4},"Algebraic topology"]
[{"$nulls":4},"Applied mathematics"]
[{"$nulls":4},"Engineering mathematics"]
[{"$nulls":4},"Mathematical Physics"]
[{"$nulls":4},"Mathematical Methods in Physics"]
[{"$nulls":4},"Partial Differential Equations"]
[{"$nulls":4},"Algebraic Topology"]
[{"$nulls":4},"Theoretical, Mathematical and Computational Physics"]
[{"$nulls":4},"Applications of Mathematics"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Description based upon print version of record."]
[null,null,null,"Nota di bibliografia","Includes bibliographical references (pages [505]-512) and index."]
[null,null,"Nota di contenuto",null,"1 Introduction -- Part I Analysis of variables and equations -- 2 Terminology revisited -- 3 Space and time elements and their orientation -- 4 Cell complexes -- 5 Analysis of physical variables -- 6 Analysis of physical equations -- 7 Algebraic topology -- 8 The birth of the classification diagrams -- Part II Analysis of physical theories -- 9 Particle dynamics -- 10 Electromagnetism -- 11 Mechanics of deformable solids -- 12 Mechanics of fluids -- 13 Other physical theories -- Part III Advanced analysis -- 14 General structure of the diagrams -- 15 The mathematical structure -- Part IV Appendices -- A Affine vector fields -- B Tensorial notation -- C On observable quantities -- D History of the diagram -- D.1 Historical remarks -- E List of physical variables -- F List of symbols used in this book -- G List of diagrams -- References."]
[null,null,null,"Sommario/riassunto","The theories describing seemingly unrelated areas of physics have surprising analogies that have aroused the curiosity of scientists and motivated efforts to identify reasons for their existence. Comparative study of physical theories has revealed the presence of a common topological and geometric structure. The Mathematical Structure of Classical and Relativistic Physics is the first book to analyze this structure in depth, thereby exposing the relationship between (a) global physical variables and (b) space and time elements such as points, lines, surfaces, instants, and intervals. Combining this relationship with the inner and outer orientation of space and time allows one to construct a classification diagram for variables, equations, and other theoretical characteristics. The book is divided into three parts. The first introduces the framework for the above-mentioned classification, methodically developing a geometric and topological formulation applicable to all physical laws and properties; the second applies this formulation to a detailed study of particle dynamics, electromagnetism, deformable solids, fluid dynamics, heat conduction, and gravitation. The third part further analyses the general structure of the classification diagram for variables and equations of physical theories. Suitable for a diverse audience of physicists, engineers, and mathematicians, The Mathematical Structure of Classical and Relativistic Physics offers a valuable resource for studying the physical world. Written at a level accessible to graduate and advanced undergraduate students in mathematical physics, the book can be used as a research monograph across various areas of physics, engineering and mathematics, and as a supplemental text for a broad range of upper-level scientific coursework."]