LEADER 05247nam 2200625Ia 450 001 9910143133303321 005 20170810175556.0 010 $a1-282-11854-4 010 $a9786612118548 010 $a3-527-62748-0 010 $a3-527-62749-9 035 $a(CKB)1000000000766828 035 $a(EBL)481257 035 $a(OCoLC)441889187 035 $a(SSID)ssj0000235319 035 $a(PQKBManifestationID)11203287 035 $a(PQKBTitleCode)TC0000235319 035 $a(PQKBWorkID)10243018 035 $a(PQKB)10992294 035 $a(MiAaPQ)EBC481257 035 $a(EXLCZ)991000000000766828 100 $a20041015d2009 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aRelativistic quantum chemistry$b[electronic resource] $ethe fundamental theory of molecular science /$fMarkus Reiher and Alexander Wolf 210 $aWeinheim $cWiley-VCH$dc2009 215 $a1 online resource (691 p.) 300 $aDescription based upon print version of record. 311 $a3-527-31292-7 320 $aIncludes bibliographical references and index. 327 $aRelativistic Quantum Chemistry; Contents; Preface; 1 Introduction; 1.1 Philosophy of this Book; 1.2 Short Reader's Guide; 1.3 Notational Conventions and Choice of Units; Part I - Fundamentals; 2 Elements of Classical Mechanics and Electrodynamics; 2.1 Elementary Newtonian Mechanics; 2.1.1 Newton's Laws of Motion; 2.1.2 Galilean Transformations; 2.1.2.1 Relativity Principle of Galilei; 2.1.2.2 General Galilean Transformations and Boosts; 2.1.2.3 Galilei Covariance of Newton's Laws; 2.1.2.4 Scalars, Vectors, Tensors in 3-Dimensional Space 327 $a2.1.3 Conservation Laws for One Particle in Three Dimensions2.1.4 Collection of N Particles; 2.2 Lagrangian Formulation; 2.2.1 Generalized Coordinates and Constraints; 2.2.2 Hamiltonian Principle and Euler-Lagrange Equations; 2.2.2.1 Discrete System of Point Particles; 2.2.2.2 Explicit Example: Planar Pendulum; 2.2.2.3 Continuous Systems of Fields; 2.2.3 Symmetries and Conservation Laws; 2.2.3.1 Gauge Transformations of the Lagrangian; 2.2.3.2 Energy and Momentum Conservation; 2.2.3.3 General Space-Time Symmetries; 2.3 Hamiltonian Mechanics; 2.3.1 Hamiltonian Principle and Canonical Equations 327 $a2.3.1.1 System of Point Particles2.3.1.2 Continuous System of Fields; 2.3.2 Poisson Brackets and Conservation Laws; 2.3.3 Canonical Transformations; 2.4 Elementary Electrodynamics; 2.4.1 Maxwell's Equations; 2.4.2 Energy and Momentum of the Electromagnetic Field; 2.4.2.1 Energy and Poynting's Theorem; 2.4.2.2 Momentum and Maxwell's Stress Tensor; 2.4.2.3 Angular Momentum; 2.4.3 Plane Electromagnetic Waves in Vacuum; 2.4.4 Potentials and Gauge Symmetry; 2.4.4.1 Lorentz Gauge; 2.4.4.2 Coulomb Gauge; 2.4.4.3 Retarded Potentials; 2.4.5 Survey of Electro- and Magnetostatics; 2.4.5.1 Electrostatics 327 $a2.4.5.2 Magnetostatics2.4.6 One Classical Particle Subject to Electromagnetic Fields; 2.4.7 Interaction of Two Moving Charged Particles; 3 Concepts of Special Relativity; 3.1 Einstein's Relativity Principle and Lorentz Transformations; 3.1.1 Deficiencies of Newtonian Mechanics; 3.1.2 Relativity Principle of Einstein; 3.1.3 Lorentz Transformations; 3.1.3.1 Definition of General Lorentz Transformations; 3.1.3.2 Classification of Lorentz Transformations; 3.1.3.3 Inverse Lorentz Transformation; 3.1.4 Scalars, Vectors, and Tensors in Minkowski Space; 3.1.4.1 Contra- and Covariant Components 327 $a3.1.4.2 Properties of Scalars, Vectors, and Tensors3.2 Kinematical Effects in Special Relativity; 3.2.1 Explicit Form of Special Lorentz Transformations; 3.2.1.1 Lorentz Boost in One Direction; 3.2.1.2 General Lorentz Boost; 3.2.2 Length Contraction, Time Dilation, and Proper Time; 3.2.2.1 Length Contraction; 3.2.2.2 Time Dilation; 3.2.2.3 Proper Time; 3.2.3 Addition of Velocities; 3.2.3.1 Parallel Velocities; 3.2.3.2 General Velocities; 3.3 Relativistic Dynamics; 3.3.1 Elementary Relativistic Dynamics; 3.3.1.1 Trajectories and Relativistic Velocity; 3.3.1.2 Relativistic Momentum and Energy 327 $a3.3.1.3 Energy-Momentum Relation 330 $aWritten by two researchers in the field, this book is a reference to explain the principles and fundamentals in a self-contained, complete and consistent way. Much attention is paid to the didactical value, with the chapters interconnected and based on each other. From the contents:* Fundamentals* Relativistic Theory of a Free Electron: Dirac?s Equation* Dirac Theory of a Single Electron in a Central Potential* Many-Electron Theory I: Quantum Electrodynamics* Many-Electron Theory II: Dirac-Hartree-Fock Theory* Elimination of the Small Component* Unitary Transformati 606 $aQuantum chemistry 606 $aChemistry 608 $aElectronic books. 615 0$aQuantum chemistry. 615 0$aChemistry. 676 $a541.28 700 $aReiher$b Markus$0932005 701 $aWolf$b Alexander$cDr.$0736785 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910143133303321 996 $aRelativistic quantum chemistry$92137931 997 $aUNINA LEADER 05238nam 22006133u 450 001 9910139137203321 005 20210107204326.0 010 $a1-118-77971-1 010 $a1-118-77970-3 035 $a(CKB)2550000001317610 035 $a(EBL)1711353 035 $a(OCoLC)881510005 035 $a(SSID)ssj0001305910 035 $a(PQKBManifestationID)11718232 035 $a(PQKBTitleCode)TC0001305910 035 $a(PQKBWorkID)11258313 035 $a(PQKB)10156300 035 $a(MiAaPQ)EBC1711353 035 $a(PPN)240178882 035 $a(EXLCZ)992550000001317610 100 $a20141006d2014|||| u|| | 101 0 $aeng 181 $ctxt 182 $cc 183 $acr 200 10$aIntroductory Mathematics and Statistics for Islamic Finance$b[electronic resource] 210 $aHoboken $cWiley$d2014 215 $a1 online resource (498 p.) 300 $aDescription based upon print version of record. 311 $a1-118-77969-X 311 $a1-306-87634-6 327 $aIntroductory Mathematics and Statistics for Islamic Finance; Contents; Preface; Acknowledgments; About the Authors; Part One: Mathematics; Chapter 1: Elementary Mathematics; BASIC MATHEMATICAL OBJECTS; Real Numbers; Complex Numbers; Absolute Value of a Number; Vectors and Arrays; Angles and Directions; Graphics; Reporting Economic and Financial Data; VARIABLES, MONOMIALS, BINOMIALS, AND POLYNOMIALS; Monomials, Binomials, and Polynomials; Polynomial Lags; Identities; Factorization of a Polynomial; EQUATIONS; EQUATIONS OF HIGHER ORDER; SEQUENCES; SERIES; Convergence of a Series 327 $aAPPLICATIONS OF SERIES TO PRESENT VALUE OF ASSETS Applications of Series to Present Value Computation; SUMMARY; QUESTIONS; Chapter 2: Functions and Models; DEFINITION OF A FUNCTION; Parametric Form of a Function; FUNCTIONS AND MODELS IN ECONOMICS; The Market Model: Demand and Supply Functions; The Budget Constraint; The Production Possibility Frontier (PPF); The Utility Function; Production Function; Other Functions in Economics; FUNCTIONS AND MODELS IN FINANCE; The Present Value Function; The Capital Asset Pricing Model (CAPM); Payoff of a Futures Contract; Payoff of an Option Contract 327 $aPayoff to a Swap Price of an Option; The Forward Exchange Rate; MULTIVARIATE FUNCTIONS IN ECONOMICS AND FINANCE; Parametric Representation; Level Curves; SUMMARY; QUESTIONS; Chapter 3: Differentiation and Integration of Functions; DIFFERENTIATION; DIFFERENTIATION RULES; MAXIMUM AND MINIMUM OF A FUNCTION; MEAN VALUE THEOREM; POLYNOMIAL APPROXIMATIONS OF A FUNCTION: TAYLOR'S EXPANSION; INTEGRATION; Integration; The First Fundamental Theorem of Calculus; Second Fundamental Theorem of Calculus; Change in Variables in Indefinite Integrals; Double Integral 327 $aAPPLICATIONS IN FINANCE: DURATION AND CONVEXITY OF A SUKUK Duration of a Sukuk; Application of Taylor Expansion to the Convexity of Sukuk's Price; SUMMARY; QUESTIONS; Chapter 4: Partial Derivatives; DEFINITION AND COMPUTATION OF PARTIAL DERIVATIVES; The Chain Rule; Derivatives of Implicit Functions; TOTAL DIFFERENTIAL OF A FUNCTION WITH MANY VARIABLES; DIRECTIONAL DERIVATIVES; GRADIENTS; TANGENT PLANES AND NORMAL LINES; Tangent Planes; Normal Line; EXTREMA OF FUNCTIONS OF SEVERAL VARIABLES; EXTREMAL PROBLEMS WITH CONSTRAINTS; Elimination Method; Lagrange Method; SUMMARY; QUESTIONS 327 $aChapter 5: Logarithm, Exponential, and Trigonometric Functions LOGARITHM FUNCTIONS; Logarithm Identities; Change of Base; The Natural Logarithmic Function; THE EXPONENTIAL FUNCTION; POWER SERIES OF LOGARITHMIC AND EXPONENTIAL FUNCTIONS; GENERAL EXPONENTIAL AND LOGARITHMIC FUNCTIONS; SOME APPLICATIONS OF LOGARITHM AND EXPONENTIAL FUNCTIONS IN FINANCE; Simple Compounding and Continuous Compounding of Returns; The Present Value Formula; The Normal Distribution; INTEGRATION BY PARTS; TRIGONOMETRIC FUNCTIONS; SUMMARY; QUESTIONS; Chapter 6: Linear Algebra; VECTORS; Addition of Vectors 327 $aMultiplication of Vectors 330 $aA unique primer on quantitative methods as applied to Islamic finance Introductory Mathematics and Statistics for Islamic Finance + Website is a comprehensive guide to quantitative methods, specifically as applied within the realm of Islamic finance. With applications based on research, the book provides readers with the working knowledge of math and statistics required to understand Islamic finance theory and practice. The numerous worked examples give students with various backgrounds a uniform set of common tools for studying Islamic finance. The in-depth study of finance requires a strong 606 $aBanks and banking -- Islamic countries 606 $aBanks and banking 606 $aFinance -- Islamic countries 615 4$aBanks and banking -- Islamic countries. 615 4$aBanks and banking. 615 4$aFinance -- Islamic countries. 676 $a300 700 $aMirakhor$b Abbas$0862217 701 $aKrichene$b Noureddine$0861994 801 0$bAU-PeEL 801 1$bAU-PeEL 801 2$bAU-PeEL 906 $aBOOK 912 $a9910139137203321 996 $aIntroductory Mathematics and Statistics for Islamic Finance$92119011 997 $aUNINA LEADER 01485nam 2200361 n 450 001 996391059203316 005 20221108062644.0 035 $a(CKB)1000000000658500 035 $a(EEBO)2240857059 035 $a(UnM)99841044 035 $a(EXLCZ)991000000000658500 100 $a19910315d1531 uy | 101 0 $alat 135 $aurbn||||a|bb| 200 00$aRobrti [sic], VVhitintoni alma in vniuersitate Oxonie[n]si laureati, de octo partibus orationis, ęditio$b[electronic resource] $eAuthoris distichon. 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