Algebra category: 943 books

This carefully written textbook offers a thorough introduction to abstract algebra, covering the fundamentals of groups, rings and fields.  The first two chapters present preliminary topics such as properties of the integers and equivalence relations. The author then explores the first major...

This textbook is designed for students with at least one solid semester of abstract algebra,some linear algebra background, and no previous knowledge of module theory. Modulesand the Structure of Rings details the use of modules over a ring as a means of consideringthe structure of the ring itself--explaining...

This self-contained, clearly written textbook on linear algebra is easily accessible for students. It begins with the simple linear equation and generalizes several notions from this equation for the system of linear equations and introduces the main ideas using matrices. It then offers a detailed...

This book provides explicit representations of finite-dimensional simple Lie algebras, related partial differential equations, linear orthogonal algebraic codes, combinatorics and algebraic varieties, summarizing the author’s works and his joint works with his former students.  Further, it presents...

This is an Algebra book which covers factoring. A step by step guide explains the following four factoring methods. Answers for all the problems are explained in details.  ·       Greatest Common Factor (GCF) ·      ...

This book represents a complete course in abstract algebra, providing instructors with flexibility in the selection of topics to be taught in individual classes. All the topics presented are discussed in a direct and detailed manner. Throughout the text, complete proofs have been given for all theorems...

College algebra is just one of those things that have kept students in college longer than expected because it's mind-boggling. But it can be made solvable with the use of this quick study guide. With its brilliant explanations and numerical representations, this book will likely take your understanding of the subject to a whole new level. Secure a copy now.

This book gives a thorough and entirely self-contained, in-depth introduction to a specific approach to group theory, in a large sense of that word. The focus lie on the relationships which a group may have with other groups, via “universal properties”, a view on that group “from the outside”. This...

Algebraic Structure of Lattice-Ordered Rings presents an introduction to the theory of lattice-ordered rings and some new developments in this area in the last 10-15 years. It aims to provide the reader with a good foundation in the subject, as well as some new research ideas and topic in the field. This...

Etale cohomology is an important branch in arithmetic geometry. This book covers the main materials in SGA 1, SGA 4, SGA 4 1/2 and SGA 5 on etale cohomology theory, which includes decent theory, etale fundamental groups, Galois cohomology, etale cohomology, derived categories, base change theorems,...

Learn while you masturbate with the world's first educational erotica! Lawrence is a university student who has to get a good mark on his Linear Algebra I final. He goes to his hot math professor and she makes an offer he can't refuse: she offers to have one of her former PhD students tutor him one-on-one. Lawrence soon sees the unconventional ways his mysterious tutor teaches.

This book features the arithmetic perspective of the algebraic expression  ax2+bx+c . It is intended for students with a basic understanding of Arithmetics, namely just the operations of Addition, Subtraction and Multiplication. It is a great guide for students who would like to have an overview of...

This book provides an extensive collection of problems with detailed solutions in introductory and advanced matrix calculus. Supplementary problems in each chapter will challenge and excite the reader, ideal for both graduate and undergraduate mathematics and theoretical physics students. The coverage...

Final Exam Review: College Algebra covers the following topics: a note to the student in preparing for exams; Polynomial, Nonlinear, and Radical Equations; Sets, Relations, Functions; Absolute Value Equations and Inequalities; Linear Programming; Graphs of Functions; Asymptotes; Logarithms; Exponential...