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Vectors in 2 or 3 Dimensions provides an introduction to vectors from their very basics. The author has approached the subject from a geometrical standpoint and although applications to mechanics will be pointed out and techniques from linear algebra employed, it is the geometric view which is emphasised throughout.Properties of vectors are initially introduced before moving on to vector algebra and transformation geometry. Vector calculus as a means of studying curves and surfaces in 3 dimensions and the concept of isometry are introduced later, providing a stepping stone to mo

Vector analysis. --- Vector algebra. --- Algebra, Vector --- Algebras, Linear --- Vector analysis --- Algebra, Universal --- Mathematics --- Numbers, Complex --- Quaternions --- Spinor analysis --- Vector algebra

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Categories (Mathematics) --- Closure operators --- 512.667 --- Operators, Closure --- Galois correspondences --- Lattice theory --- Category theory (Mathematics) --- Algebra, Homological --- Algebra, Universal --- Group theory --- Logic, Symbolic and mathematical --- Topology --- Functor theory --- Algebraic analogues of various constructions from topology and algebraic geometry --- 512.667 Algebraic analogues of various constructions from topology and algebraic geometry

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Algebras, Linear --- -FORTRAN (Computer program language) --- Subroutines (Computer programs) --- Data processing --- 519.6 --- 681.3*G13 --- 681.3*G4 --- Functions (Computer programs) --- Methods (Computer programs) --- Procedures (Computer programs) --- Routines (Computer programs) --- Subprograms (Computer programs) --- Computer programs --- Formula Translation (Computer program language) --- Programming languages (Electronic computers) --- Linear algebra --- Algebra, Universal --- Generalized spaces --- Mathematical analysis --- Calculus of operations --- Line geometry --- Topology --- Computational mathematics. Numerical analysis. Computer programming --- Numerical linear algebra: conditioning; determinants; Eigenvalues; error analysis; linear systems; matrix inversion; pseudoinverses; sparse and very largesystems --- Mathematical software: algorithm analysis; certification and testing; efficiency; portability; reliability and robustness; verification --- 681.3*G4 Mathematical software: algorithm analysis; certification and testing; efficiency; portability; reliability and robustness; verification --- 681.3*G13 Numerical linear algebra: conditioning; determinants; Eigenvalues; error analysis; linear systems; matrix inversion; pseudoinverses; sparse and very largesystems --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- FORTRAN (Computer program language) --- LAPACK. --- ScaLAPACK --- Scalable linear albegra package --- Scalable LAPACK --- Algebras, Linear - - Data processing