Number Theory / Modular Arithmetic

🧮 Dive into the Fascinating World of Number Theory with Engineering Mathematics Volume-1

Course Headline: Engineering Mathematics Volume-1 - Mastering Number Theory & Modular Arithmetic

Course Description:

Are you ready to unlock the mysteries of Number Theory and Modular Arithmetic? Engineering Mathematics Volume-1 is your ultimate guide to mastering these essential components of engineering mathematics. This comprehensive course is meticulously designed to cater to everyone, irrespective of your expertise level. Whether you're a beginner or an expert, this course will provide you with all the necessary prerequisites within its structured content.

📚 Key Features of the Course:

• 🚀 All Fundamentals and Advanced Concepts Covered: From the basics to complex ideas, this course contains everything you need to understand and excel in Number Theory and Modular Arithmetic.
• 🧠 Systematic Organization of Content: All course materials are organized in a systematic manner, ensuring crystal-clear explanations that enhance your learning experience.
• 🛠️ Practical Problem Solving: Engage with a variety of problems, starting from the most basic and progressing to advanced levels, to solidify your understanding and skills.
• 🏆 Prepare for Competitive Exams: This course is not just academic; it's designed to help you excel in competitive exams such as GATE, NET, SET, and more.
• 🤝 Expert Inputs: The course has been carefully crafted with valuable inputs from esteemed university professors, industrial experts, and university students.

In This Course, You Will Explore:

• Euclidean Algorithm: Discover the step-by-step process to find the greatest common divisor (GCD).
• Diophantine Equations: Learn about equations that can only be solved by integers and how they fit into the broader context of Number Theory.
• Inverse Modulus Calculation: Understand how to find the modular inverse and its applications.
• Chinese Remainder Theorem: Get to grips with a powerful theorem that allows solutions to simultaneous congruences.
• Modular Exponentiation: Master the art of raising numbers to powers within a given modulus.
• Little Fermat’s Theorem: Learn about its significance and how it generalizes Fermat's Little Theorem.
• Euler’s Theorem: Explore the connection between the totient function and modular arithmetic.
• Euler Totient Function: Understand Euler's function and how to calculate it.
• Prime Factorization: Delve into the fundamental theorem of arithmetic and its role in Number Theory.
• Quadratic Residue: Learn about the quadratic reciprocity law and how it applies to quadratic residues.
• Legendre Symbol and Jacobi Symbol: Understand these symbols and their applications in cryptography and number fields.

Who This Course Is For:

• Engineering Students: If you're an engineering student, this course will provide you with the mathematical tools essential for your studies.
• Mathematics Scholars: Deepen your understanding of Number Theory and its applications.
• Research Scholars in Information and Network Security: Gain insights that are crucial for advancing research in this field.

Our Promise to You:

Engineering Vidya is committed to delivering high-quality educational content. If after purchasing the course you find that it does not meet your expectations, we offer a refund as per Udemy's policy. Your satisfaction is our priority!

Embark on this journey with Engineering Mathematics Volume-1 and transform your approach to Number Theory and Modular Arithmetic. 🌟