Can one learn linear algebra solely by solving problems? Paul Halmos thinks so, and you will too once you read this book. The Linear Algebra Problem Book is. download By Paul R. Halmos - Linear Algebra Problem Book (Dolciani Mathematical Expositions Series, No. 16) on ✓ FREE SHIPPING on qualified. Linear Algebra Problem Book, Paul R. Halmos. From Erd"os to Kiev: Problems of Olympiad Caliber, Ross Honsberger. Which Way Did the Bicycle Go?.

Linear Algebra Problem Book

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My first suggestion would have been Schaum's outline. However since you have gone through that already, another book I am quite fond of (which I think covers. The Dolciani Mathematical Expositions. NUMBER SIXTEEN. LINEAR ALGEBRA. PROBLEM BOOK. PAUL R. HALMOS. Published and Distributed by. Among the dozens and dozens of linear algebra books that have appeared, two that were written before “dumbing down” of textbooks became.

Matrices of adjoints. Rank and nullity 91 Similarity and rank 92 Similarity of transposes. Ranks of sums 94 Ranks of products 95 Nullities of sums and products.

Chapter3 Bases. Examples of independence 36 Independence over R and Q 37 Independence in.

Vectors common to different bases 39 Bases in. Subspaces of full dimension 43 Extended bases. Finitedimensional subspaces 45 Minimal total sets 46 Existence of minimal total sets 47 Infinitely total sets.

Relatively independent sets 49 Number of bases in a finite vector space. Quotient spaces.

Dimension of a quotient space 53 Additivity of dimension. Linear transformations 55 Domain and range. Zeroone matrices. Range inclusion and factorization 59 Transformations as vectors. Finitedimensional invertibility. Diagonal matrices. Invertibility examples. Universal commutativity 70 Invariance.

Linear Algebra Problem Book

Invariant complements. Sums of projections. Solution of equations. Annihilators 80 Double annihilators. Some similarities 97 Equivalence. Rank and equivalence. Canonical Forms.

Dolciani Mathematical Expositions: Linear Algebra Problem Book

Sums and products of eigenvalues Eigenvalues of products Polynomials in eigenvalues Diagonalizing permutations. Polynomials in eigenvalues converse. Multiplicities Distinct eigenvalues Comparison of multiplicities. Triangularization Complexification.

Unipotent transformation Nipotence Nilpotent products. Nilpotent direct sums. Minimal polynomials. New York: Springer-Verlag.

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Curtis, C. Linear algebra: An introductory approach. Greub, W. Linear algebra. Halmos, P. Finite-dimensional vector spaces. Princeton, N. J: Van Nostrand. Herstein, I.

A primer on linear algebra. New York: Macmillan. Hoffman, K. Englewood Cliffs, N. J: Prentice-Hall. Katznelson, Y.

A Linear Algebra Problem Book

A terse introduction to linear algebra. Providence, R. I: American Mathematical Society.

Lax, P. Linear algebra and its applications. Hoboken, N. J: Wiley-Interscience. Historical All mathematics is a work in progress and we should never take its current definitions as sacred. Learn the evolution of linear algebra and see how different formulations battled it out. Crowe, M. A history of vector analysis: The evolution of the idea of a vectorial system.

Dover Pub.

Grassmann, H. Chicago: Open Court. Theoretical These books develop the subject rigorously, often on generalized assumptions. Aluffi, P. Algebra: Chapter 0. Blyth, T. Module theory: An approach to linear algebra.

Oxford [England: Clarendon Press. Bourbaki, N. Algebra I.

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Berlin: Springer-Verlag. Brown, W.

A second course in linear algebra. New York: Wiley. Curtis, M. Abstract linear algebra. Golan, J. The linear algebra a beginning graduate student ought to know. Dordrecht: Springer. Jacobson, N. Lectures in abstract algebra: Linear algebra. New York, Van Nostrand Reinhold.Matrix theory and linear algebra.

Numerical These describe matrix forms and efficient algorithms for getting numerical answers. Goodreads helps you keep track of books you want to read. Multilinear algebra. Valenza, R. Minimal polynomials.

Orthogonal complements. Rohit Patel rated it it was amazing Nov 03, There are so many stuff that other books don't deal with that this book has problems on that it got me very excited! This book is a marvelous example of how to teach and learn mathematics by 'doing' mathematics.

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