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Zeidler E. — Oxford User's Guide to Mathematics
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Название: Oxford User's Guide to MathematicsАвтор: Zeidler E. Аннотация: The Oxford User's Guide to Mathematics in Science and Engineering represents a comprehensive handbook on mathematics. It covers a broad spectrum of mathematics including analysis, algebra, geometry, foundations of mathematics, calculus of variations and optimization, theory of probability and mathematical statistics, numerical mathematics and scientific computing, and history of mathematics. This is supplemented by numerous tables on infinite series, special functions, integrals, integral transformations, mathematical statistics, and fundamental constants in physics. The book offers a broad modern picture of mathematics starting from basic material up to more advanced topics. It emphasizes the relations between the different branches of mathematics and the applications of mathematics in engineering and the natural sciences. The book addresses students in engineering, mathematics, computer science, natural sciences, high-school teachers, as well as a broad spectrum of practitioners in industry and professional researchers. A comprehensive table at the end of the handbook embeds the history of mathematics into the history of human culture. The bibliography represents a comprehensive collection of the contemporary standard literature in the main fields of mathematics.
Язык: Рубрика: Математика /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 2004Количество страниц: 1308Добавлена в каталог: 15.09.2014Операции: Положить на полку |
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292 708 683 242 558 A-priori estimate 467 Abel, Niels Henrik 148 576 599 618 675 681 807 1190 Abel, summation procedure 389 Abel, theorem of 383 Abelian field extension 722 Abelian group 663 Abelian integral 148 576 577 589 804 820 Absolute convergence 378 Absolute frequency 1009 Absolute integral invariant of Poincare — Cartan 484 Absolute value 229 Acceleration vector 358 Accord 823 Accumulation point 248 257 Ackermann, Wilhelm 895 action 920 Action, Bellman action function 941 Action, variable 490 Action-angle variable 926 Adaptive discretization 1149 Addition on elliptic curve 806 Addition theorem 51 54 Addition theorem, algebraic 577 Addition theorem, for 579 Addition theorem, for elliptic functions 575 581 Addition, formula for means 983 Additive group, rank of 668 Additive group, torsion of 668 Additive inverse 240 Adiabatic 518 Adiabatic, equation of state 521 Adjoint of matrix element 604 Adjoint operator 840 Admissible domain 953 Admissible sequence 403 Admissible summation procedure 389 Affine subspace 645 Affine transformation 766 Affinity 766 Agnesi versiera 821 Agnesi, Maria Gaetana 812 Aharmonic oscillator 358 Ahlfors, Lars 1199 Al-Khowarizmi 1183 Algebra 650 Algebra, boolean 1192 Algebra, Clifford 660 852 860 1193 Algebra, Clifford, of Hilbert space 865 Algebra, Clifford, of Minkowski space 853 860 Algebra, exterior 659 852 Algebra, fundamental theorem of 618 Algebra, Grassmann 658 660 663 852 Algebra, Heisenberg 662 Algebra, homological 723 1197 Algebra, inner 852 Algebra, Lie 526 636 661 844 845 1191 Algebra, Lie, Cartan subalgebra 845 Algebra, Lie, of Poisson bracket 923 Algebra, Lie, su(3) 845 Algebra, Lie, unitary 849 Algebra, linear 637 Algebra, multilinear 650 Algebra, multilinear, on 852 Algebra, of events 993 Algebra, operator 717 Algebra, quaternion, Hamiltonian 866 Algebra, spinor 661 Algebra, supercommutative 662 Algebra, tensor 658 852 Algebra, Virasoro 662 Algebraic complement 647 Algebraic curve 814 Algebraic curve, class of 818 Algebraic curve, degree of 814 Algebraic curve, dual of 818 Algebraic curve, elliptic 820 Algebraic curve, genus of 819 Algebraic curve, multiplicity of intersection 816 Algebraic curve, rational 816 820 Algebraic curve, rational map of 816 Algebraic curve, resolution of singularities 819 Algebraic field extension 679 Algebraic function 686 Algebraic number 678 705 Algebraic number, degree of 705 Algebraic set 832 Algebraic topology 540 Algorithm 1050 Algorithm, Aitken — Neville 1080 Algorithm, Cholesky 1060 Algorithm, Clenshaw 1106 Algorithm, conjugate gradient 1064 Algorithm, Euclidean 617 622 624 687 822 Algorithm, Gauss 1055 Algorithm, Gauss — Seidel 1063 Algorithm, Gaussian 612 Algorithm, Jacobi 1062 Algorithm, numerical stability 1053 Algorithm, QR 1068 Algorithm, relaxation factor 1063 Algorithm, simplex 953 Algorithm, simplex, dual 963 Algorithm, simplex, pivot column 959 Algorithm, simplex, pivot element 959 Algorithm, simplex, revised 963 Algorithm, stable 1053 Algorithm, transport 966 970 Almost complex structure 543 868 870 Almost everywhere 330 Alternating group 665 Ampere, Andre Marie 1032 Amplitude function 585 Analysis, cluster 1030 Analysis, discriminant 1030 Analysis, error 1050 Analysis, factor 1029 Analysis, forward error 1053 Analysis, functional 802 1194 Analysis, harmonic 1193 Analysis, harmonic, numerical treatment 1165 Analysis, multiple scale (multiresolution) 1171 Analysis, multivariate 1029 Analysis, non-standard 296 Analysis, variance 1029 Analytic continuation 385 531 569 Analytic function 596 Analytic function, complex 544 Analytic geometry 749 angle 5 752 842 Angle, right 5 Angle, spherical 737 Angle, variables 488 Angular frequency 233 Annulus 8 Annulus, solid 11 Ansatz 268 Anti-symmetric see "Skew-symmetric" Apollo 675 Apparent singularity 73 Appolonius of Perga 24 Approximation, Fourier 1103 Approximation, in quadratic means 1102 Approximation, numerical 1102 Approximation, of 704 708 Approximation, order 706 Approximation, polynomial 1104 Approximation, theorem, of Liouville 706 Approximation, theorem, of Roth 707 Approximation, uniform 1106 1107 Arc length 319 342 770 780 851 Arccosine 66 Arccotangent 66 Archimedean spiral 793 Archimedes of Syracuse 239 310 708 1182 Arcsine 66 ArcSinh 68 Arctangent 66 Area of disc 326 Area of solids 10 Aristotle of Stagira 878 895 906 1181 Arithmetic mean 389 Arithmetic of cardinal numbers 904 Arithmetic progression 691 Arithmetic, ordinal 903 Arithmetic, series 29 Arithmetic-geometric mean 792 Arithmetica 685 825 827 Arnol'd, Vladimir Igorovich 407 419 490 1197 Ars Magna 620 621 1184 Artemis 675 Artin, Emil 599 686 Associative law 231 240 393 652 666 Astroid 790 799 Astronomia Nova 1185 Asymptote 774 Asymptote of a hyperbola 20 Asymptotic equality 125 253 Asymptotic series 124 Asymptotically stable 458 at-Tusi 1183 Atiyah — Singer index theorem 643 Atiyah, Michael 1197 1199 Autocorrelation coefficient 1034 Autocovariance function 1038 Automorphic function 533 577 804 807 838 Automorphism 725 Automorphism group 726 Automorphism group, of complex plane 559 Automorphism group, of Euclidean space 753 Automorphism group, of various geometries 765 Axiom 905 Axiom of Archimedes 745 Axiom, Hilbert axioms for real numbers 239 Axiom, Kolmogorov axioms of probability 989 Axiom, parallel 745 905 Axiom, Pasch 743 Axiom, set theory 900 Background microwave radiation 45 Baker, Alan 1199 Ball 11 348 Ball, section 12 Ball, slice 12 Ball, surface area 15 Ball, volume 15 Banach fixed-point theorem 1095 Banach space 264 1144 Barrel 13 Barycentric coordinantes 768 Barycentric formula (interpolation) 1076 Basis of vertex 956 Basis, dual 649 Basis, orthonoral 842 Basis, orthonormal 1103 Basis, pseudo-orthonormal 848 Basis, reciprocal 356 Basis, Riesz 1171 Basis, symplectic 869 Bellman action function 941 Bernoulli equation 566 Bernoulli inequality 37 Bernoulli law of large numbers 1010 Bernoulli number 1088 Bernoulli numbers 34 Bernoulli polynomial 113 Bernoulli, Daniel 496 1100 1188 Bernoulli, Jakob 34 35 439 574 791 812 932 975 979 1007 1009 1187 Bernoulli, Johann 35 1187 Bessel differential equation 461 593 Bessel function 121 126 594 beta function 121 Betti number 669 Bezout's theorem 815 Bicharacteristic 513 Bifurcation 289 444 801 Bifurcation, Hopf 801 big bang 45 Big O of a function 253 Biholomorphic function 554 Bijective 642 889 Bilinear form 651 Bilinear form, non-degenerate 651 Bilinear form, skew-symmetric 651 838 Bilinear form, symmetric 651 binary number 227 Binomial coefficient 31 600 Binomial formula 31 600 Binomial inequality 37 Binomial integral 149 Binomial series 32 Biquadratic equation 621 Birational map 833 Birationally equivalent 816 Bispinor 862 Black hole 927 Blow up 410 830 Body of rotation 349 Body, rigid 802 Bohr, Niels 1195 Boltzmann constant 509 694 987 Boltzmann, Ludwig 975 1192 Bolyai, Janos 746 1191 Bolzano, Bernhard 1190 Bombelli, Raphael 228 532 620 1184 Bombieri, Enrico 1200 Book problem 600 Boole, George 907 1192 Borcherds, Richard 1201 Born, Max 1195 Borwein, Jonathan 711 Borwein, Peter 711 Boson 663 864 Boson, gauge 864 Bound, lower 241 Bound, upper 241 894 Boundary 257 540 Boundary, condition 419 Boundary, condition, Dirichlet 1128 Boundary, condition, natural 934 Boundary, condition, Neumann 1128 Boundary, value problem 421 459 Boundary, value problem, homogenous 460 Boundary-eigenvalue problem 498 Boundedness criterion 378 Bourgain, Jean 1201 Brachistochrone 916 Bracket, Heisenberg 924 Bracket, Lie 661 Bracket, Poisson 489 923 Brahe, Tycho 42 1185 Branching point 562 Briggs, Henry 28 Brouwer, Luitzen 906 Brown, Robert 1031 Brownian motion 500 1042 1194 Bruns, Ernst-Heinrich 471 Bundle, cotangent 489
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