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This undergraduate text takes the reader along the trail of light from Newton's particles to Einstein's relativity. Like the best detective stories, it presents clues and encourages the reader to draw conclusions before the answers are revealed. The first seven chapters describe how light behaves, develop Newton's particle theory, introduce waves and an electromagnetic wave theory of light, discover the photon, and culminate in the wave-particle duality. The book then goes on to develop the special theory of relativity, showing how time dilation and length contraction are consequences of the two simple principles on which the theory is founded. An extensive chapter derives the equation E = mc2 clearly from first principles and then explores its consequences and the misconceptions surrounding it. That most famous of issues arising from special relativity - the aging of the twins - is treated simply but compellingly.
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Ordered algebraic structures --- Categories (Mathematics) --- Categorieën (Wiskunde) --- Catégories (Mathématiques) --- Modulen (Algebra) --- Modules (Algebra) --- Modules (Algebre) --- Morita duality --- Morita duality. --- 51 --- Duality, Morita --- Morita's duality --- Finite number systems --- Modular systems (Algebra) --- Algebra --- Finite groups --- Rings (Algebra) --- Category theory (Mathematics) --- Algebra, Homological --- Algebra, Universal --- Group theory --- Logic, Symbolic and mathematical --- Topology --- Functor theory --- Mathematics --- 51 Mathematics
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This undergraduate text takes the reader along the trail of light from Newton's particles to Einstein's relativity. Like the best detective stories, it presents clues and encourages the reader to draw conclusions before the answers are revealed. The first seven chapters describe how light behaves, develop Newton's particle theory, introduce waves and an electromagnetic wave theory of light, discover the photon, and culminate in the wave-particle duality. The book then goes on to develop the special theory of relativity, showing how time dilation and length contraction are consequences of the two simple principles on which the theory is founded. An extensive chapter derives the equation E = mc2 clearly from first principles and then explores its consequences and the misconceptions surrounding it. That most famous of issues arising from special relativity - the aging of the twins - is treated simply but compellingly.
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Duality theory (Mathematics) --- Kac-Moody algebras --- Locally compact groups --- 512.7 --- 512.7 Algebraic geometry. Commutative rings and algebras --- Algebraic geometry. Commutative rings and algebras --- Algebra --- Mathematical analysis --- Topology --- Compact groups --- Topological groups --- Algebras, Kac-Moody --- Lie algebras --- Ordered algebraic structures
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Dual arguments have become a standard tool for analysis of problems involving optimization by consumers and producers. The principal aim of this book is to provide a fairly systematic yet simple exposition of the basic structure of such arguments. The emphasis is not on providing mathematically general proofs; instead, a geometric approach is used to provide, in an informal way, an intuitive understanding of duality theory. This book introduces the most common alternative ways of representing preferences and technologies, such as indirect utility and distance functions, expenditure and cost functions, and profit and revenue functions. and it discusses the assumptions under which alternative formulations contain precisely the same information. Results such as Roy's identity. the Hotelling-Wold identity, and Shephard's lemma are fully explained. as are their roles in facilitating analysis of behaviour.
330.1 --- 330.1 Economische grondbegrippen. Algemene begrippen in de economie --- Economische grondbegrippen. Algemene begrippen in de economie --- Analyse microéconomique --- Courbe de demande (Theorie economique) --- Demand functions (Economic theory) --- Dualiteit [Theorie van de ] (Wiskunde) --- Dualité [Théorie de la ] (Mathématiques) --- Mathematics duality theory --- Theorie van de dualiteit (Wiskunde) --- Théorie de la dualité (Mathématiques) --- Verbruikers --- Vraagcurve (Economische theorie) --- DEMAND FUNCTIONS (Economic theory) --- Consumer behavior --- Duality theory (Mathematics) --- Econometric models --- Microeconomics --- Price theory --- Economics --- Econometrics --- Mathematical models --- Algebra --- Mathematical analysis --- Topology --- Demand curves (Economic theory) --- Functions, Demand (Economic theory) --- Behavior, Consumer --- Buyer behavior --- Decision making, Consumer --- Human behavior --- Consumer profiling --- Market surveys --- Quantitative methods (economics) --- Econometric models. --- Consumer behavior. --- Microeconomics. --- Consumers --- 330.00 --- 330.3 --- 339.20 --- AA / International- internationaal --- Economische en sociale theorieën: algemeenheden --- Methode in staathuishoudkunde. Statische, dynamische economie. Modellen. Experimental economics --- Verdeling van de goederen en van de inkomens: algemeenheden --- Business, Economy and Management --- Microéconomie --- Modèles économétriques --- Demande (économie politique) --- Dualité, Principe de (mathématiques) --- Consommateurs --- Attitudes
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