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Mathematics Handbook
- 9Preface
- 113Fundamentals Discrete Mathematics
- 1.113Logic
- 1.217Set Theory
- 1.319Binary Relations and Functions
- 1.423Algebraic Structures
- 1.534Graph Theory
- 1.638Codes
- 245Algebra
- 2.145Basic Algebra of Real Numbers
- 2.251Number Theory
- 2.361Complex Numbers
- 2.463Algebraic Equations
- 367Geometry and Trigonometry
- 3.167Plane Figures
- 3.272Solids
- 3.376Spherical Trigonometry
- 3.477Geometrical Vectors
- 3.579Plane Analytic Geometry
- 3.683Analytic Geometry in Space
- 3.787Fractals
- 491Linear Algebra
- 4.191Matrices
- 4.293Determinants
- 4.395Systems of Linear Equations
- 4.497Linear Coordinate Transformations
- 4.599Eigenvalues Diagonalization
- 4.6103Quadratic Forms
- 4.7105Linear Spaces
- 4.8108Linear Mappings
- 4.9114Tensors
- 4.10115Complex matrices
- 5119The Elementary Functions
- 5.1119A Survey of the Elementary Functions
- 5.2120Polynomials and Rational Functions
- 5.3122Logarithmic, Exponential, Power and Hyperbolic Functions
- 5.4125Trigonometric and Inverse Trigonometric Functions
- 6133Differential Calculus (one variable)
- 6.1133Basic concepts
- 6.2134Limits and continuity
- 6.3137Derivatives
- 6.4140Monotonicity. Extrema of functions
- 7143Integral Calculus
- 7.1143Indefinite Integrals
- 7.2147Definite Integrals
- 7.3149Applications of Differential and Integral Calculus
- 7.4154Tables of Indefinite Integrals
- 7.5175Tables of Definite Integrals
- 8179Sequences and Series
- 8.1179Sequences of Numbers
- 8.2180Sequences of Functions
- 8.3181Series of Constant Terms
- 8.4183Series of Functions
- 8.5185Taylor Series
- 8.6188Special Sums and Series
- 9197Ordinary Differential Equations
- 9.1197Differential Equations of the First Order
- 9.2199Differential Equations of the Second Order
- 9.3201Linear Differential Equations
- 9.4211Autonomous systems
- 9.5214General Concepts and Results
- 9.6217Linear Difference Equations
- 10221Multidimensional Calculus
- 10.1221The Space Rn
- 10.2223Surfaces Tangent Planes
- 10.3224Limits and Continuity
- 10.4224Partial Derivatives
- 10.5228Extrema of Functions
- 10.6230Functions f ∶ Rn → Rm (Rn → Rn)
- 10.7233Double Integrals
- 10.8236Triple Integrals
- 10.9240Partial Differential Equations
- 11247Vector Calculus
- 11.1247Curves
- 11.2249Vector Fields
- 11.3254Line Integrals
- 11.4256Surface Integrals
- 12261Orthogonal Series and Special Functions
- 12.1261Orthogonal Systems
- 12.2265Orthogonal Polynomials
- 12.3272Bernoulli and Euler Polynomials
- 12.4273Bessel Functions
- 12.5289Functions Defined by Transcendental Integrals
- 12.6298Step and Impulse Functions
- 12.7299Functional Analysis
- 12.8305Lebesgue Integrals
- 12.9307Some function spaces in Rn
- 12.10310Generalized functions (Distributions)*
- 13313Transforms
- 13.1313Fourier Series
- 13.2318Fourier Transforms
- 13.3326Discrete Fourier Transforms
- 13.4328The z-transform
- 13.5330Laplace Transforms
- 13.6337Dynamical Systems (Filters)
- 13.7339Hankel and Hilbert transforms
- 13.8342Wavelets
- 14347Complex Analysis
- 14.1347Functions of a Complex Variable
- 14.2349Complex Integration
- 14.3351Power Series Expansions
- 14.4352Residues
- 14.5354Zeros and Singularities
- 14.6355Conformal Mappings
- 15363Optimization
- 15.1363Calculus of Variations
- 15.2369Linear Optimization
- 15.3376Integer and Combinatorial Optimization
- 15.4380Nonlinear Optimization
- 15.5385Dynamic Optimization
- 16389Numerical Analysis
- 16.1389Approximation, Errors and Convergence
- 16.2390Approximation of Functions
- 16.3395Numerical Summation
- 16.4398Numerical Differentiation
- 16.5403Numerical Integration (Quadrature)
- 16.6409Numerical Solution of Linear Equations
- 16.7416Numerical Solution of Eigenvalue Problems
- 16.8417Numerical Solution of Nonlinear Equations
- 16.9419Numerical Solution of ODE
- 16.10424Numerical Solution of PDE
- 17437Probability Theory
- 17.1437Basic Probability Theory
- 17.2448Probability Distributions
- 17.3453Stochastic Processes
- 17.4459Simulation
- 17.5462Queueing Systems
- 17.6464Tables
- 18477Statistics
- 18.1477Descriptive Statistics
- 18.2478Point Estimation
- 18.3482Confidence Intervals
- 18.4487Tests of Significance
- 18.5492Linear Models
- 18.6498Distribution-free Methods
- 18.7503Factorial Experiments
- 19507Miscellaneous
- 19.1507The Greek alphabet
- 19.2507Physical constants
- 511Glossaries
- 511Glossary of functions
- 512Glossary of symbols
- 515Index
Information
- Redaktörer:
- Frank Wikström
- Författare:
- Lennart Råde Bertil Westergren
- Språk:
- Engelska
- ISBN:
- 9789144128436
- Utgivningsår:
- 1988
- Revisionsår:
- 2019
- Artikelnummer:
- 2505-06
- Upplaga:
- Sjätte
- Sidantal:
- 530