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 algebraic structure, the group, progressing as far as the ...

There are plenty of books that teach introductory data structures. Some of them are very good. Most of them cost money, and the vast majority of computer science undergraduate students will shell out at least some cash on a data structures book.
Open Data Structures (in C++) - The goal of this project is to free undergraduate computer science stud...

There are plenty of books that teach introductory data structures. Some of them are very good. Most of them cost money, and the vast majority of computer science undergraduate students will shell out at least some cash on a data structures book.
Open Data Structures (in Java) - The goal of this book is to free undergraduate computer science stud...

Bjarne Stroustrup of AT&T Bell Labs created C++ in the mid 1980s. C++ is an extension of the programming language C, a product of AT&T Bell Labs from the early 1970s. C was developed to write the Unix operating system, and C is widely used for systems-level software and embedded systems development.
C++ initially provided object-oriented...

Think C++ is an introduction to programming using the C++ programming language. I originally wrote it to help students prepare for the Computer Science AP exam (when the exam was in C++)....

Applied Combinatorics is an open-source book for a course covering the fundamental enumeration techniques (permutations, combinations, subsets, pigeon hole principle), recursion and mathematical induction, more advanced enumeration techniques (inclusion-exclusion, generating functions, recurrence relations, Polyá theory), discrete structures (grap...

Algorithms are the lifeblood of computer science. They are the machines that proofs build and the music that programs play. Their history is as old as mathematics itself. This book is a wide-ranging, idiosyncratic treatise on the design and analysis of algorithms, covering several fundamental techniques, with an emphasis on intuition and the proble...

Extremely versatile and popular among developers, Python is a good general-purpose language that can be used in a variety of applications. For those with an understanding of English, Python is a very humanreadable programming language, allowing for quick comprehension. Because Python supports multiple styles including scripting and object-oriented ...

This is an optimization manual for advanced C++ programmers. This book are not for beginners.
Topics include:
- The choice of platform and operating system.
- Choice of compiler and framework.
- Finding performance bottlenecks.
- The efficiency of different C++ constructs.
- Multi-core systems.
- Parallelization with vector operations.
- CPU dispa...