An Introduction to Linear Algebra
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An Introduction to Linear Algebra (1st Edition) By Leonid Mirsky Oxford University Press | 1955 | PDF | ISBN10: na | 464 pages | 32.5 mb Rigorous, self-contained coverage of determinants, vectors, matrices and linear equations, quadratic forms, more. Elementary, easily readable account with numerous examples and problems at the end of each chapter. "The straight-forward clarity of the writing is admirable." — American Mathematical Monthly. Bibliography. CONTENTS PART I - DETERMINANTS, VECTORS, MATRICES, AND LINEAR EQUATIONS I. DETERMINANTS II. VECTOR SPACES AND LINEAR MANIFOLDS III. THE ALGEBRA OF MATRICES IV. LINEAR OPERATORS V. SYSTEMS OF LINEAR EQUATIONS AND RANK OF MATRICES VI. ELEMENTARY OPERATION AND THE CONCEPT OF EQUIVALENCE PART II - FURTHER DEYELOPMENT OF MATRIX THEORY VII. THE CHARACTERISTIC EQUATIONS VIII. ORTHOGONAL AXD UNITARY MATRICES X. GROUPS X. CANONICAL FORMS XI. MATRIX ANALYSIS PART III - QUADRATIC FORMS XII. BILINEAR, QUADRATIC AND HERMITIAN FORMS XIII. DEFINITE AND INDEFINITE FORMS BIBLIOGRAPHY INDEX
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