{"product_id":"linear-algebra-a-pure-mathematical-approach-9783764369057","title":"Linear Algebra: A Pure Mathematical Approach","description":"1 - Algebraic Preamble.- Groups, Rings and Fields.- Permutation Groups.- Problems 1.- 2 - Vector Spaces and Linear Maps.- Vector Spaces and Algebras.- Bases and Dimension.- Linear Maps.- Direct Sums.- Addendum - Modules.- Problems 2.- 3 - Matrices, Determinants and Linear Equations.- Matrices.- Determinants.- Systems of Linear Equations.- Problems 3.- 4 - Cayley-Hamilton Theorem and Jordan Form.- Polynomials.- Cayley-Hamilton and Spectral Theorems.- Jordan Form.- Problems 4.- 5 - Interlude on Finite Fields.- Finite Fields.- Applications - Linear Codes and Finite Matrix Groups.- Problems 5.- 6 - Hermitian and Inner Product Spaces.- Hermitian and Inner Products, and Norms.- Unitary and Self-adjoint Maps.- Orthogonal and Symmetric Maps.- Problems 6.- 7 - Selected Topics.- The Geometry of Real Quadratic Forms.- Normed Algebras, Quaternions and Cayley Numbers.- to the Representation of Finite Groups.- Problems 7.- Appendix A - Set Theory.- Sets and Maps.- Problems A.- Appendix B - Answers and Solutions to the Problems.- Notation Index.- Definition Index.- Theorem Index.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eBinding Type:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Birkhauser\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 10\/03\/2002\u003cbr\u003e\u003cb\u003eISBN:\u003c\/b\u003e 9783764369057\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 268\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.22lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.14w x 0.63d","brand":"H. E. Rose, Harvey E. Rose","offers":[{"title":"Default Title","offer_id":43205175836853,"sku":"9783764369057","price":84.15,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0473\/0804\/6492\/files\/img_fcfacfca-ae84-4365-a0e4-858cedc49448.jpg?v=1698129577","url":"https:\/\/pastforward.org\/products\/linear-algebra-a-pure-mathematical-approach-9783764369057","provider":"Past Forward","version":"1.0","type":"link"}