{"product_id":"linear-algebra-a-pure-mathematical-approach-9783764369057","title":"Linear Algebra: A Pure Mathematical Approach","description":"\u003cp\u003e • Author(s): H. E. Rose\u003cbr\u003e • Publisher: Birkhauser\u003cbr\u003e • Publisher Imprint: Birkhauser\u003cbr\u003e • BISAC: Algebra - Linear\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e1 - 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.\u003c\/p\u003e","brand":"Birkhauser","offers":[{"title":"Hardcover","offer_id":45160386134167,"sku":"9783764369057","price":5873.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9783764369057.webp?v=1767304747","url":"https:\/\/atlanticbooks.com\/products\/linear-algebra-a-pure-mathematical-approach-9783764369057","provider":"Atlantic Books","version":"1.0","type":"link"}