This text is aimed at the abstract or modern algebra course taken by junior and senior math majors and many secondary math education majors. A mid-level approach, this text features clear prose, an intuitive approach, and exercises organized around specific concepts. New to this edition are additional applications exercises to improve student learning.
Number Theory is more than a comprehensive treatment of the subject. It is an introduction to topics in higher level mathematics, and unique in its scope; topics from analysis, modern algebra, and discrete mathematics are all included.
Because of its large command structure and intricate syntax, Mathematica can be difficult to learn. Wolfram's Mathematica manual, while certainly comprehensive, is so large and complex that when trying to learn the software from scratch -- or find answers to specific questions -- one can be quickly overwhelmed.
Intuitionism: An Introduction (Study in Logic & Mathematics)
Intuitionistic mathematics involves discerning the truth of a given statement. This high-level introductory treatment assumes a strong mathematical background, bringing readers directly to the center of several different branches of intuitionistic mathematics. The author, a leader in the field of intuitionistic mathematics, employs condensed proofs and presumes a familiarity with classical theories. 1971 edition.