The Basic Objects of Algebra. Groups. Rings. Modules. Polynomials -- Algebraic Equations. Algebraic Extensions. Galois Theory. Extensions of Rings. Transcendental Extensions. Algebraic Spaces. Noetherian Rings and Modules. Real Fields. Absolute Values -- Linear Algebra and Representations. Matrices and Linear Maps. Representation of One Endomorphism. Structure of Bilinear Forms. The Tensor Product. Semisimplicity. Representations of Finite Groups. The Alternating Product -- Homological Algebra. General Homology Theory. Finite Free Resolutions. The Transcendence of e and [pi] -- Some Set Theory. Pt. 1. Ch. I. Ch. II. Ch. III. Ch. IV. Pt. 2. Ch. V. Ch. VI. Ch. VII. Ch. VIII. Ch. IX. Ch. X. Ch. XI. Ch. XII. Pt. 3. Ch. XIII. Ch. XIV. Ch. XV. Ch. XVI. Ch. XVII. Ch. XVIII. Ch. XIX. Pt. 4. Ch. XX. Ch. XXI. App. 1. App. 2.