Linear Algebra/Bibliography

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Linear Algebra
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  • Microsoft (1993), Microsoft Programmers Reference, Microsoft Press .
  • William Lowell Putnam Mathematical Competition, Problem A-5, 1990.
  • The USSR Mathematics Olympiad, number 174.
  • Ackerson, R. H. (Dec. 1955), "A Note on Vector Spaces", American Mathematical Monthly (American Mathematical Society) 62 (10): 721 .
  • Anning, Norman (proposer); Trigg, C. W. (solver) (Feb. 1953), "Elementary problem 1016", American Mathematical Monthly (American Mathematical Society) 60 (2): 115 .
  • Anton, Howard (1987), Elementary Linear Algebra, John Wiley & Sons .
  • Arrow, J. (1963), Social Choice and Individual Values, Wiley .
  • Ball, W.W. (1962), Mathematical Recreations and Essays, MacMillan  (revised by H.S.M. Coxeter).
  • Bennett, William (March 15, 1993), "Quantifying America's Decline", Wall Street Journal 
  • Birkhoff, Garrett; MacLane, Saunders (1965), Survey of Modern Algebra, Macmillan .
  • Bittinger, Marvin (proposer) (Jan. 1973), "Quickie 578", Mathematics Magazine (American Mathematical Society) 46 (5): 286,296 .
  • Blass, A. (1984), "Existence of Bases Implies the Axiom of Choice", in Baumgartner, J. E., Axiomatic Set Theory, Providence RI: American Mathematical Society, pp. 31–33 .
  • Bridgman, P. W. (1931), Dimensional Analysis, Yale University Press .
  • Casey, John (1890), The Elements of Euclid, Books I to VI and XI (9th ed.), Hodges, Figgis, and Co. .
  • Clark, David H.; Coupe, John D. (Mar. 1967), "The Bangor Area Economy Its Present and Future", Reprot to the City of Bangor, ME .
  • Clarke, Arthur C. (1982), Great SF Stories 8: Technical Error, DAW Books .
  • Courant, Richard; Robbins, Herbert (1978), What is Mathematics?, Oxford University Press .
  • Coxeter, H.S.M. (1974), Projective Geometry (Second ed.), Springer-Verlag .
  • Cullen, Charles G. (1990), Matrices and Linear Transformations (Second ed.), Dover .
  • Dalal, Siddhartha; Folkes, Edward; Hoadley, Bruce (Fall 1989), "Lessons Learned from Challenger: A Statistical Perspective", Stats: the Magazine for Students of Statistics: 14-18 
  • Davies, Thomas D. (Jan. 1990), "New Evidence Places Peary at the Pole", National Geographic Magazine 177 (1): 44 .
  • de Mestre, Neville (1990), The Mathematics of Projectiles in sport, Cambridge University Press .
  • De Parville (1884), La Nature, I, Paris, pp. 285-286 .
  • Duncan, Dewey (proposer); Quelch, W. H. (solver) (Sept.-Oct. 1952), Mathematics Magazine 26 (1): 48 
  • Dudley, Underwood (proposer); Lebow, Arnold (proposer); Rothman, David (solver) (Jan. 1963), "Elemantary problem 1151", American Mathematical Monthly 70 (1): 93 .
  • Ebbing, Darrell D. (1993), General Chemistry (Fourth ed.), Houghton Mifflin .
  • Ebbinghaus, H. D. (1990), Numbers, Springer-Verlag .
  • Eggar, M.H. (Aug./Sept. 1998), "Pinhole Cameras, Perspective, and Projective Geometry", American Mathematical Monthly (American Mathematical Society): 618-630 .
  • Einstein, A. (1911), Annals of Physics 35: 686 .
  • Feller, William (1968), An Introduction to Probability Theory and Its Applications, 1 (3rd ed.), Wiley .
  • Gardner, Martin (May. 1957), "Mathematical Games: About the remarkable similarity between the Icosian Game and the Tower of Hanoi", Scientific American: 150-154 .
  • Gardner, Martin (April 1970), "Mathematical Games, Some mathematical curiosities embedded in the solar system", Scientific American: 108-112 .
  • Gardner, Martin (October 1974), "Mathematical Games, On the paradoxical situations that arise from nontransitive relations", Scientific American .
  • Gardner, Martin (October 1980), "Mathematical Games, From counting votes to making votes count: the mathematics of elections", Scientific American .
  • Gardner, Martin (1990), The New Ambidextrous Universe (Third revised ed.), W. H. Freeman and Company .
  • Gilbert, George T.; Krusemeyer, Mark; Larson, Loren C. (1993), The Wohascum County Problem Book, The Mathematical Association of America .
  • Giordano, R.; Jaye, M.; Weir, M. (1986), "The Use of Dimensional Analysis in Mathematical Modeling", UMAP Modules (COMAP) (632) .
  • Giordano, R.; Wells, M.; Wilde, C. (1987), "Dimensional Analysis", UMAP Modules (COMAP) (526) .
  • Goult, R.J.; Hoskins, R.F.; Milner, J.A.; Pratt, M.J. (1975), Computational Methods in Linear Algebra, Wiley .
  • Graham, Ronald L.; Knuth, Donald E.; Patashnik, Oren (1988), Concrete Mathematics, Addison-Wesley .
  • Haggett, Vern (proposer); Saunders, F. W. (solver) (Apr. 1955), "Elementary problem 1135", American Mathematical Monthly (American Mathematical Society) 62 (5): 257 .
  • Halmos, Paul P. (1958), Finite Dimensional Vector Spaces (Second ed.), Van Nostrand .
  • Halsey, William D. (1979), Macmillian Dictionary, Macmillian .
  • Hamming, Richard W. (1971), Introduction to Applied Numerical Analysis, Hemisphere Publishing .
  • Hanes, Kit (1990), "Analytic Projective Geometry and its Applications", UMAP Modules (UMAP UNIT 710): 111 .
  • Heath, T. (1956), Euclid's Elements, 1, Dover .
  • Hoffman, Kenneth; Kunze, Ray (1971), Linear Algebra (Second ed.), Prentice Hall 
  • Hofstadter, Douglas R. (1985), Metamagical Themas:~Questing for the Essence of Mind and Pattern, Basic Books .
  • Iosifescu, Marius (1980), Finite Markov Processes and Their Applications, UMI Research Press .
  • Ivanoff, V. F. (proposer); Esty, T. C. (solver) (Feb. 1933), "Problem 3529", American Mathematical Mothly 39 (2): 118 
  • Kelton, Christina M.L. (1983), Trends on the Relocation of U.S. Manufacturing, Wiley .
  • Kemeny, John G.; Snell, J. Laurie (1960), Finite Markove Chains, D.~Van Nostrand .
  • Kemp, Franklin (Oct. 1982), "Linear Equations", American Mathematical Monthly (American Mathematical Society): 608 .
  • Klamkin, M. S. (proposer) (Jan.-Feb. 1957), "Trickie T-27", Mathematics Magazine 30 (3): 173 .
  • Knuth, Donald E. (1988), The Art of Computer Programming, Addison Wesley .
  • Leontief, Wassily W. (Oct. 1951), "Input-Output Economics", Scientific American 185 (4): 15 .
  • Leontief, Wassily W. (Apr. 1965), "The Structure of the U.S. Economy", Scientific American 212 (4): 25 .
  • Liebeck, Hans. (Dec. 1966), "A Proof of the Equality of Column Rank and Row Rank of a Matrix", American Mathematical Monthly (American Mathematical Society) 73 (10): 1114 .
  • Macdonald, Kenneth; Ridge, John (1988), "Social Mobility", British Social Trends Since 1900 (Macmillian) .
  • Morrison, Clarence C. (proposer) (1967), "Quickie", Mathematics Magazine 40 (4): 232 .
  • Munkres, James R. (1964), Elementary Linear Algebra, Addison-Wesley .
  • Neimi, G.; Riker, W. (June 1976), "The Choice of Voting Systems", Scientific American: 21-27 .
  • O'Hanian, Hans (1985), Physics, 1, W. W. Norton 
  • O'Nan, Micheal (1990), Linear Algebra (3rd ed.), Harcourt College Pub .
  • Oakley, Cletus; Baker, Justine (April 1977), "Least Squares and the 3:40 Mile", Mathematics Teacher 
  • Pólya, G. (1954), Mathematics and Plausible Reasoning: Volume II Patterns of Plausible Inference, Princeton University Press 
  • Peterson, G. M. (Apr. 1955), "Area of a triangle", American Mathematical Monthly (American Mathematical Society) 62 (4): 249 .
  • Poundstone, W. (2008), Gaming the vote, Hill and Wang, ISBN 978-0-8090-4893-9 .
  • Ransom, W. R. (proposer); Gupta, Hansraj (solver) (Jan. 1935), "Elementary problem 105", American Mathematical Monthly 42 (1): 47 .
  • Rice, John R. (1993), Numerical Methods, Software, and Analysis, Academic Press .
  • Rucker, Rudy (1982), Infinity and the Mind, Birkhauser .
  • Rupp, C. A. (proposer); Aude, H. T. R. (solver) (Jun.-July 1931), "Problem 3468", American Mathematical Monthly (American Mathematical Society) 37 (6): 355 .
  • Ryan, Patrick J. (1986), Euclidean and Non=Euclidean Geometry: an Anylytic Approach, Cambridge University Press .
  • Salkind, Charles T. (1975), Contest Problem Book No 1: Annual High School Mathematics Examinations 1950-1960 .
  • Seidenberg, A. (1962), Lectures in Projective Geometry, Van Nostrandg .
  • Silverman, D. L. (proposer); Trigg, C. W. (solver) (Jan. 1963), "Quickie 237", Mathematics Magazine (American Mathematical Society) 36 (1) .
  • Strang, Gilbert (1980), Linear Algebra and its Applications (2nd ed.), Hartcourt Brace Javanovich 
  • Strang, Gilbert (Nov. 1993), "The Fundamental Theorem of Linear Algebra", American Mathematical Monthly (American Mathematical Society): 848-855 .
  • Taylor, Alan D. (1995), Mathematics and Politics: Strategy, Voting, Power, and Proof, Springer-Verlag .
  • Tilley, Burt, Private Communication .
  • Trigg, C. W. (proposer); Walker, R. J. (solver) (Jan. 1949), "Elementary Problem 813", American Mathematical Monthly (American Mathematical Society) 56 (1) .
  • Trigg, C. W. (proposer) (Jan. 1963), "Quickie 307", Mathematics Magazine (American Mathematical Society) 36 (1): 77 .
  • Trono, Tony (compilier) (1991), University of Vermont Mathematics Department High School Prize Examinations 1958-1991, mimeograhed printing 
  • Walter, Dan (proposer); Tytun, Alex (solver) (1949), "Elementary problem 834", American Mathematical Monthly (American Mathematical Society) 56 (6): 409 .
  • Weston, J. D. (Aug./Sept. 1959), "Volume in Vector Spaces", American Mathematical Monthly (American Mathematical Society) 66 (7): 575-577 .
  • Weyl, Hermann (1952), Symmetry, Princeton University Press .
  • Wickens, Thomas D. (1982), Models for Behavior, W.H. Freeman .
  • Wilansky, Albert (Nov. year=1951), "The Row-Sum of the Inverse Matrix", American Mathematical Monthly (American Mathematical Society) 58 (9): 614 .
  • Wilkinson, J. H. (1965), The Algebraic Eigenvalue Problem, Oxford University Press .
  • Yaglom, I. M. (1988), Felix Klein and Sophus Lie: Evolution of the Idea of Symmetry in the Nineteenth Century, Birkhäuser .
  • Zwicker, S. (1991), "The Voters' Paradox, Spin, and the Borda Count", Mathematical Social Sciences 22: 187-227 
Linear Algebra
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