Introduction to Higher Algebra (Dover Books on Mathematics) by Maxime Bocher (PDF)

Description

Written by one of America’s most influential teachers, this text presents the fundamentals of higher algebra and a thorough foundation in algebraic principles. Beginning with an account of polynomials and their basic properties, it examines determinants and Laplace’s development, multiplication theorem, bordered and adjoint determinants, the theory of linear dependence, linear equations, and related topics. A treatment of theorems concerning the rank of a matrix is followed by chapters on linear transformations and the combination of matrices, invariant and bilinear forms. Additional topics include quadratic forms, factors of polynomials, theorems on integral rational invariants, and elementary divisors. 1907 ed. Preface. Index.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐An advanced text which concentrates upon quadratic forms and matrices.

⭐I really am enjoying this book. I have to admit that as a Mathematician I have been greatly biased towards Geometry. Having been so fond of the classics of Geometry I have never given much thought to Algebra at the higher levels. What got me so interested in this book is that Bocher does not write in the dry banal style typical of most mathematics books. He has a great ability to present mathematical topics in a way that I personally believe clever high school students could learn from this.In short I would recommend this book for people who are:1. Thinking of becoming a Math Major/Minor.2. Students curious as to how “Math works/Algebra works”3. Preparing to take a course in Analysis or Linear Algebra4. Want a fun and interesting challenge.5. Wants to grapple with higher algebra without being overwhelmed with it.

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