Number Theory: Exploring Mathematics and Solving Sums

Name: Number Theory: Exploring Mathematics and Solving Sums
Rating: 3.8 (6 reviews)

Exploring Fascinating World of Mathematics, Sums and Beyond in a Comprehensive Introduction : Number Theory

Created bySourav Das

Last updated 7/2023

English

English [Auto],

What you'll learn

Mathematics
Short cut tricks in Mathematics
Answering Techniques
Quick Solutions for Number Theory Sample Questions

Course content

1 section • 9 lectures • 32m total length

Introduction to Number Theory with Solved Sums including Explanation2:47
Explore number theory through solved sums, including arithmetic progression, factorials, and maximizing squared-sum values, with clear steps solving relations like P, Q, R and M, N, P.
Introduction to Number Theory with Solved Sums including Explanation Part 13:38
Explore solved sums in number theory, including n!^n and the relation n^3 > 9, using cancellations to derive valid n-values such as 3, 1, and 3 across questions 7–10.
Introduction to Number Theory with Solved Sums including Explanation Part 23:11
Discover number theory through solved sums, including 1729 as the sum of two cubes, divisibility checks, and analysis of prime factors, factor counts, and last-digit products.
Introduction to Number Theory with Solved Sums including Explanation Part 33:10
Explore number theory by solving problems 15 to 18, deriving factorial forms, and computing lcm and hcf with step-by-step reasoning.
Introduction to Number Theory with Solved Sums including Explanation Part 42:43
Examine repeating numbers ABCABC and their divisibility by 1001, with factors 7, 11, and 13, and count numbers up to 1155 divisible by 5 or 7 but not 11, inclusion-exclusion.
Introduction to Number Theory with Solved Sums including Explanation Part 52:48
Explore number theory concepts through solved sums, analyzing equations, ranges, and unit digit patterns, and reveal solution counts and the least frequent digits.
Introduction to Number Theory with Solved Sums including Explanation Part 64:53
Explore number theory concepts through solved sums including sums of factors, unit digit and remainder calculations, tenths place, and divisibility and difference of squares problems, with practical examples.
Introduction to Number Theory with Solved Sums including Explanation Part 76:58
Explore essential number theory through solved sums, covering digit counts in products, natural numbers and series, stair-step problems, and coin-based puzzles with explanations.
Introduction to Number Theory with Solved Sums including Explanation Part 81:58
Compute the maximum bells by counting divisors of 80 in a temple bell problem. Then review pqr numbers and the q and r relationship through examples.

Requirements

No prior expertise required

Description

The course introduces you to the topic Number Theory, a branch of Mathematics that helps to study the set of positive whole numbers, say 1, 2, 3, 4, 5, 6,. . . , which are also called the set of natural numbers and sometimes called “higher arithmetic”.

Number theory helps to study the relationships between different sorts of numbers. Natural numbers are separated into a variety of times. Here are some of the familiar and unfamiliar examples with quick number theory introductions.

The definition of number theory states that it is a branch of pure mathematics devoted to the study of natural numbers and integers. It is the study of the set of positive whole numbers usually called the set of natural numbers. This theory is experimental and theoretical. While the experimental number theory leads to questions and suggests different ways to answer them, the theoretical number theory tries to provide a definite answer by solving it.

Number theory will be very useful for individuals preparing for entrances IIT, ISI B.Stat, and B.Math. It is used to find out if a given integer 'm' is divisible with the integer 'n' and this is used in many divisibility tests. This theory is not only used in Mathematics, but also applied in cryptography, device authentication, websites for e-commerce, coding, security systems, and many more.

Who this course is for:

Number Theory Unveiled: Exploring the Fascinating World of Mathematics, Sums, and Beyond in a Comprehensive Introduction