MAA Reviews

Linear Algebra: Elementary

** Anton, Howard. Elementary Linear Algebra, New York, NY: John Wiley, 1973, 1991. Sixth Edition.

** Banchoff, Thomas F. and Wermer, John. Linear Algebra Through Geometry New York, NY: Springer-Verlag, 1983.

Bloom, David M. Linear Algebra and Geometry New York, NY: Cambridge University Press, 1979.

* Curtis, Charles W. Linear Algebra: An Introductory Approach, New York, NY: Springer-Verlag, 1984. Fourth Edition.

Damiano, David B. and Little, John B. A Course in Linear Algebra San Diego, CA: Harcourt Brace Jovanovich, 1988.

Fraleigh, John B. and Beauregard, Raymond A. Linear Algebra, Reading, MA: Addison-Wesley, 1990. Second Edition.

* Greub, Werner. Linear Algebra, New York, NY: Springer-Verlag, 1975. Fourth Edition.

Grossman, Stanley I. Elementary Linear Algebra, Philadelphia, PA: Saunders College, 1980, 1991. Fourth Edition.

Jacob, Bill. Linear Algebra New York, NY: W.H. Freeman, 1990.

* Kumpel, P.G. and Thorpe, John A. Linear Algebra with Applications to Differential Equations Philadelphia, PA: Saunders College, 1983.

* Lang, Serge. Introduction to Linear Algebra, New York, NY: Springer-Verlag, 1986. Second Edition.

Leon, Steven J. Linear Algebra with Applications, New York, NY: Macmillan, 1980, 1986. Third Edition.

Lipschutz, Seymour. Schaum's Solved Problems Series: 3000 Solved Problems in Linear Algebra New York, NY: McGraw-Hill, 1989.

* Noble, Ben and Daniel, James W. Applied Linear Algebra, Englewood Cliffs, NJ: Prentice Hall, 1969, 1988. Third Edition.

O'Nan, Michael and Enderton, Herbert B. Linear Algebra, San Diego, CA: Harcourt Brace Jovanovich, 1990. Third Edition.

* Rorres, Chris and Anton, Howard. Applications of Linear Algebra, New York, NY: John Wiley, 1977, 1984. Third Edition.

Rothenberg, Ronald I. Linear Algebra with Computer Applications New York, NY: John Wiley, 1983.

Smith, Larry. Linear Algebra New York, NY: Springer-Verlag, 1978.

*** Strang, Gilbert. Linear Algebra and Its Applications, San Diego, CA: Harcourt Brace Jovanovich, 1988. Third Edition.

Towers, David A. Guide to Linear Algebra Houndmills, England: Macmillan Education, 1988.

* Tucker, Alan. A Unified Introduction to Linear Algebra: Models, Methods, and Theory New York, NY: Macmillan, 1988.

Linear Algebra: Advanced

* Brown, William C. A Second Course in Linear Algebra New York, NY: John Wiley, 1988.

Dieudonne, Jean. Linear Algebra and Geometry Boston, MA: Houghton Mifflin, 1969.

* Gel'fand, Israel M. Lectures on Linear Algebra Mineola, NY: Dover, 1989.

Gohberg, Israel; Lancaster, Peter; and Rodman, L. Invariant Subspaces of Matrices with Applications New York, NY: John Wiley, 1986.

*** Halmos, Paul R. Finite-Dimensional Vector Spaces New York, NY: Springer-Verlag, 1968, 1974.

** Herstein, I.N. and Winter, David J. Matrix Theory and Linear Algebra New York, NY: Macmillan, 1968, 1988.

*** Hoffman, Kenneth and Kunze, Ray. Linear Algebra, Englewood Cliffs, NJ: Prentice Hall, 1971. Second Edition.

Jarvinen, Richard D. Finite and Infinite Dimensional Linear Spaces: A Comparative Study in Algebraic and Analytic Settings New York, NY: Marcel Dekker, 1981.

* Kaplansky, Irving. Linear Algebra and Geometry: A Second Course New York, NY: Chelsea, 1974.

** Lang, Serge. Linear Algebra, New York, NY: Springer-Verlag, 1987. Third Edition.

Shilov, G.E. Linear Algebra Englewood Cliffs, NJ: Prentice Hall, 1971.

Linear Algebra: Matrix Theory

** Berman, Abraham and Plemmons, Robert J. Nonnegative Matrices in the Mathematical Sciences New York, NY: Academic Press, 1979.

* Davis, Philip J. Circulant Matrices New York, NY: John Wiley, 1979.

Gantmacher, Felix. Matrix Theory, New York, NY: Chelsea, 1959. 2 Vols.

Graybill, Franklin A. Introduction to Matrices with Applications in Statistics Belmont, CA: Wadsworth, 1969.

* Horn, Roger A. and Johnson, Charles R. Matrix Analysis New York, NY: Cambridge University Press, 1985.

Householder, Alston S. The Theory of Matrices in Numerical Analysis New York, NY: Blaisdell, 1964.

Iohvidov, I.S. Hankel and Toeplitz Matrices and Forms: Algebraic Theory New York, NY: Birkhauser, 1982.

Johnson, Charles R., ed. Matrix Theory and Applications Providence, RI: American Mathematical Society, 1990.

** Lancaster, Peter and Tismenetsky, Miron. The Theory of Matrices, New York, NY: Academic Press, 1985. Second Edition with Applications.

* Marcus, Marvin and Minc, Henryk. Survey of Matrix Theory and Matrix Inequalities Boston, MA: Allyn and Bacon, 1964.

* Minc, Henryk. Nonnegative Matrices New York, NY: John Wiley, 1988.

Muir, Thomas. A Treatise on the Theory of Determinants Mineola, NY: Dover, 1933.

Newman, Morris. Integral Matrices New York, NY: Academic Press, 1972.

Perlis, Sam. Theory of Matrices Reading, MA: Addison-Wesley, 1952.

Pullman, N.J. Matrix Theory and its Applications: Selected Topics New York, NY: Marcel Dekker, 1976.

Wedderburn, J.H.M. Lectures on Matrices Mineola, NY: Dover, 1934, 1964.

Linear Algebra: Special Topics

* Campbell, S.L. and Meyer, C.D., Jr. Generalized Inverses of Linear Transformations Brooklyn, NY: Pitman, 1979.

Goodbody, A.M. Cartesian Tensors: With Applications to Mechanics, Fluid Mechanics and Elasticity New York, NY: Halsted Press, 1982.

** Greub, Werner. Multilinear Algebra, New York, NY: Springer-Verlag, 1978. Second Edition.

Roman, Steven. The Umbral Calculus New York, NY: Academic Press, 1984.