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This book is the sequel to Geometric Transformations I and II, volumes 8 and 21 in this series, but can be studies independently. It is devoted to the treatment of affine and projective transformations of the plane these transformations include the congruencies and similarities investigated in the previous volumes. The simple text and the many problems are designed mainly to show how the principles of affine and projective geometry may be used to furnish relatively simple solutions of large classes of problems in elementary geometry, including some straight edge construction problems. In the Supplement, the reader is introduced to hyperbolic geometry. The latter part of the book consists of detailed solutions of the problems posed throughout the text.
Inversions (Geometry) --- Geometry, Modern. --- Modern geometry --- Sphere --- Inversion geometry --- Circle --- Geometry, Modern --- Transformations (Mathematics) --- Geometry --- Plane. --- Algorithms --- Differential invariants --- Geometry, Differential
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Planning (firm) --- Macroeconomics --- Linear Programming --- Linear programming --- 519.8 --- Economics --- Matrices --- Production scheduling --- Programming (Mathematics) --- Substitutions, Linear --- Transformations (Mathematics) --- Vector analysis --- Operational research --- 519.8 Operational research --- Linear programming. --- Programmation mathematique --- Programmation lineaire
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Ordered algebraic structures --- Lattice theory --- Lattices (Mathematics) --- Space lattice (Mathematics) --- Structural analysis (Mathematics) --- Algebra, Abstract --- Algebra, Boolean --- Group theory --- Set theory --- Topology --- Transformations (Mathematics) --- Crystallography, Mathematical --- Lattice theory. --- Treillis, Théorie des --- Ordres (mathematiques) --- Treillis
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Spectral theory and complex analysis
Functional analysis. --- Spectral theory (Mathematics) --- Analytic functions. --- Functions, Analytic --- Functions, Monogenic --- Functions, Regular --- Regular functions --- Functions of complex variables --- Series, Taylor's --- Functional analysis --- Hilbert space --- Measure theory --- Transformations (Mathematics) --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations
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Laplace transformation --- Calculus --- 517.44 --- Integral transforms. Operational calculus. Laplace transforms. Fourier integral. Fourier transforms. Convolutions --- Laplace transformation. --- Laplace transforms --- 517.44 Integral transforms. Operational calculus. Laplace transforms. Fourier integral. Fourier transforms. Convolutions --- Laplace transforms. --- Transformation, Laplace --- Calculus, Operational --- Differential equations --- Transformations (Mathematics) --- Transformation de laplace
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Programming (Mathematics) --- Linear Programming --- Business mathematics --- 519.85 --- transport --- Linear programming --- geheel --- dynamisch --- integer --- programmeren --- economie --- simplex --- problemen --- spel --- lineaire programmering --- toewijzing --- niet-lineair --- kuhn-tucker --- Mathematical programming --- Goal programming --- Algorithms --- Functional equations --- Mathematical optimization --- Operations research --- Matrices --- Production scheduling --- Substitutions, Linear --- Transformations (Mathematics) --- Vector analysis --- Arithmetic, Commercial --- Business --- Business arithmetic --- Business math --- Commercial arithmetic --- Finance --- Mathematics --- 519.85 Mathematical programming --- Linear programming.
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Linear programming --- FORTRAN (Computer program language) --- Data processing --- 519.85 --- -Matrices --- Production scheduling --- Programming (Mathematics) --- Substitutions, Linear --- Transformations (Mathematics) --- Vector analysis --- Formula Translation (Computer program language) --- Programming languages (Electronic computers) --- Mathematical programming --- Data processing. --- -Mathematical programming --- FORTRAN (Computer program language). --- 519.85 Mathematical programming --- -Formula Translation (Computer program language) --- Linear programming - Data processing
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Lorentz transformations --- Relativity (Physics) --- Symmetry (Physics) --- 530.1 --- Invariance principles (Physics) --- Symmetry (Chemistry) --- Conservation laws (Physics) --- Physics --- Gravitation --- Nonrelativistic quantum mechanics --- Space and time --- Special relativity (Physics) --- Transformations (Mathematics) --- Basic principles of physics --- Lorentz transformations. --- Relativity (Physics). --- Symmetry (Physics). --- 530.1 Basic principles of physics
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