Fundamentals of Real Analysis: A Beginner's Guide

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Sourav Das

36:03

13 View

1. Introduction.mp4

02:09

2. Sets and Functions.mp4

03:53

3. Supremum and Infimum.mp4

06:50

4. Some Basic Numericals on Real Analysis.mp4

02:59

5. Limit Points.mp4

02:14

6. Sequence and Series.mp4

03:47

7. Cauchy Sequence.mp4

02:06

8. Cauchy Theorems in Real Analysis.mp4

04:44

9. Test of Real Analysis.mp4

06:44

10. Conclusion.mp4

00:37

Description

Master the Core Principles: A Comprehensive Journey into Real Analysis for Beginners

What You'll Learn?

Master core concepts in real analysis.
Understand sequences and series
Solve problems using convergence tests
Gain practical insights into real-world applications
Solve problems using convergence tests
Apply limits and continuity principles

Who is this for?

Mathematics Enthusiasts and Students: Ideal for individuals passionate about mathematics or students seeking a solid foundation in real analysis.

College and University Students: Tailored for undergraduates or anyone entering higher education with a focus on mathematics, engineering, or related fields.

Self-Learners and Lifelong Learners: Perfect for those who enjoy self-paced learning and are eager to explore the beauty of real analysis at their own convenience.

Professionals Seeking Skill Enhancement: Suitable for professionals in quantitative fields such as finance, data science, or engineering who want to strengthen their analytical skills.

Educators and Instructors: Designed for teachers, tutors, or instructors who wish to enhance their ability to explain and teach real analysis concepts effectively.

What You Need to Know?

Basic Algebra Skills: Comfort with elementary algebraic operations. Understanding of basic algebraic expressions and equations.

Familiarity with Functions: Knowledge of elementary functions and their properties. Understanding of graphical representations of functions.

More details

Description
Welcome to "Fundamentals of Real Analysis: A Beginner's Guide"!
Embark on a captivating mathematical journey with me as your guide! Have you ever wondered about the magic behind the numbers, the secrets that make mathematical concepts come alive? Well, look no further â€“ this course is your key to unlocking the enchanting world of Real Analysis.
In this course, I'll be your companion on a thrilling adventure through the basics of Real Analysis. Together, we'll unravel the mysteries of limits, sequences, and series, demystifying the fundamental principles that form the backbone of mathematical analysis. No prior expertise is needed â€“ just bring your curiosity and a desire to delve into the heart of mathematical beauty.
Why choose this course? Because we believe learning should be an engaging experience! Each lesson is crafted with clarity and a touch of fun, making complex concepts not just understandable, but enjoyable. Expect real-world examples, interactive quizzes, and a supportive community to enhance your learning journey.
By the end of this course, you'll not only have a solid understanding of Real Analysis but also a newfound appreciation for the elegance and precision of mathematical thinking.
Join me, and let's embark on this exciting adventure together. Enroll now and discover the joy of mastering the "Fundamentals of Real Analysis"!

Who this course is for:
Mathematics Enthusiasts and Students: Ideal for individuals passionate about mathematics or students seeking a solid foundation in real analysis.
College and University Students: Tailored for undergraduates or anyone entering higher education with a focus on mathematics, engineering, or related fields.
Self-Learners and Lifelong Learners: Perfect for those who enjoy self-paced learning and are eager to explore the beauty of real analysis at their own convenience.
Professionals Seeking Skill Enhancement: Suitable for professionals in quantitative fields such as finance, data science, or engineering who want to strengthen their analytical skills.
Educators and Instructors: Designed for teachers, tutors, or instructors who wish to enhance their ability to explain and teach real analysis concepts effectively.

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Math

Sourav Das

Instructor's Courses

12+ years experience teaching in schools, colleges, universities also in national ands international level. I have made more than 7000 videos made for online courses, 250+ study materials and books on Amazon. I have worked with students who were complete beginners, as well as those who were facing challenges in mastering advanced topics.I completely understand the initial struggle in decoding the concepts and formulas. I am thoroughly proficient in explaining difficult and hard to understand topics in a lucid, useful , quick and enjoying manner. You will find ample examples and examination level explanations in my videos , notes , materials and special mock tests. My classes will be your way to get rid of the intense mug up sessions and will take you to the real fun of studying.Just like our faces we are all different in understanding concepts , ideas , concepts so in my classes too the same approach is being taken so that you always come out with flying colours and greats grades of marks . With my personal innovative teaching methods I will be making your journey towards goals a very smooth run.Let the journey begin…

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