Description
The valuable work Mathematics And Algorithms examines the foundations and mathematical tools needed to design, analyze, and prove the correctness of computer algorithms. The main goal of the book is to empower computer science students to use logical structures and mathematical formulas to measure the efficiency and time and space complexity of algorithms. The author, with precise expression, connects abstract mathematical concepts to concrete applications in the world of programming so that the reader understands the necessity of mathematics in creating optimal codes.
The book covers a variety of topics, including discrete mathematics, graph theory, recursion, combinatorics, and probability, and shows how each of these tools is used in the analysis of search algorithms, sorting, and data structures. Beyond teaching formulas, this work helps develop algorithmic thinking and mathematical reasoning in the reader, so that he can divide and solve the most complex computational problems into smaller logical components.
Book Features
- Comprehensive coverage of discrete mathematics topics and their direct application in analyzing the complexity of algorithms (Big-O notation).
- Teaching the analysis of recursive relationships and their solution methods for evaluating divide and conquer algorithms.
- An in-depth study of graph theory and algorithms related to networks, routing, and spanning trees.
- Using mathematical application examples to optimize memory usage and program execution speed.
- Having structured mathematical exercises to strengthen analytical skills and logical proof of theorems.
Book specifications
- Publisher: Wolfram Mathematica
- Number of pages: 468
- Number of chapters: 10
- Format: PDF
Headlines
- Numbers
- Algebraic Calculations
- Algebraic Manipulation
- Manipulating Equations and Inequalities
- Linear Algebra
- Series, Limits and Residues
- Calculus
- Numerical Operations on Functions
- Numerical Operations on Data
- Mathematical Functions
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File size
9.4 MB