Mathematical Foundation of Computer Science (Free PDF)

Content

  • Preface
  • Why
  • Book function
  • Thanksgiving
  • Different concepts, relationships, and applications
  • Distinguish between numeric functions and generating functions.
  • Regression relationships and constant coefficients
  • Algebraic structure
  • Comments accepted
  • Lattice theory
  • Introduction to languages and finite automata
  • Balancing NFA and DFA
  • Normal conversation
  • Regular and irregular languages
  • Irregular grammar
  • Introduction to mechanical engineering
  • Appendix – Boolean Algebra

Preface

Obtaining a grasp of the fundamentals of computer science requires that we start with the study of mathematics in a variety of courses, automation, and formal languages. This is a vital step in the process. In light of the multiple applications that specialized mathematics has within the realm of computer technology, it is of the utmost importance to acknowledge the significance of specific mathematics (also known as specialized mathematics). Despite this, extensive research is necessary, and this substance’s potential in science and natural sciences has long been recognized.

By reading this book, the reader will be able to better appreciate the principles of computer science as well as the mathematics involved. This is because the book covers a wide variety of topics, such as formal languages, concepts related to automation, and specialized mathematics. The desire to gain a deeper understanding of the fundamental concepts taught in computer science courses motivated my decision to concentrate on this particular subject. Regular mathematics classes typically cover a wide range of mathematical topics, such as set theory, algebraic systems, combinatorics, Boolean algebra, logical propositions, and more.We choose these themes based on research needs.  It involves computing methods, computational models, language concepts, and their implementation, all of which are crucial components in the design of functional and formal languages.

Furthermore, it encompasses the practical application of these methodologies. We are referring to a type of cognitive activity that integrates all of these components. We prohibit the use of certain languages. These topics will also make it easier to understand the concepts and philosophies that were used in the early stages of computing, such as computation and computation, artificial intelligence, logic manipulation and design, software design, including fast compilers, advanced word processors, programming languages, assembly, and programming. You will also understand the recovery information more easily.
The major readers of this book are students enrolled in classes such as “Mathematical Foundations of Computer Science,” “Discrete Mathematics,” and “Automata Theory and Formal Language.” These students are at the undergraduate and graduate levels of education. This book primarily focuses on the technical aspects of computer science, but it also caters to professionals in the technology field or industry.
During the course of the last ten years, I have had the opportunity to gain expertise in teaching a variety of subjects, including computer science, discrete mathematics, and automatic mathematics, within the Department of Computer Science and Engineering at IET, UP Technical University, Lucknow, and other locations.

These events partially shaped the outline of this book, contributing to its formation. My expectations are high that the appearance of this document will accurately reflect the planning that went into the research. My objective has always been to avoid presenting intricate figures and thoughts that are unduly formalistic and instead to portray them in a manner that is both intelligible and interesting. This has been my ambition from the beginning. I also believe that teaching not only enables students to learn the subject as a powerful tool for mathematics, but it also increases their talents, comprehension, reasoning, and testing of mathematical challenges, as well as the application of mathematics in computer science.

This is something that I believe in. I am a firm believer in this particular concept. The numerous and insightful comments that I received from my students served as a source of motivation for me to create this essay. Finally, I hope this essay will expand your understanding of computer science and the rapid advancements in engineering, information technology, and computer science. I hope that you will find this essay to be both informative and enjoyable.

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