See these links:

Best math books for competitive programming

Number Theory for Competitive Programming

Mathematics in Competitive programming

I dont know why people are getting downvote. If you can't help me please simply avoid the post. Thank You.

I can see you are from Bangladesh. And you're saying your basic mathematics isn't that good(from your previous comments). So, I can suggest some books.
1. Combinatorics & Probability ( Lokkha Jokhon Math Olympiad by Dipu Sarker ) 2. Gonit ebong aro gonit — MD. Jafor Igbal 3. Number theory ( Lokkha Jokhon Math Olympiad by Dipu Sarker & Rafe Jayed ) 4. Gonit Olympiad e lorte hole. By MD. Jakid Hossain You can find many books like this in the market.

http://cp-algorithms.com/ here u have ur required math under the titles algebra, geometry and combinatorics along with tasks in the bottom of each lecture page

You can also try brilliant.org and Khan academy tutorials.

the path of math is long and it cannot be rushed but it is never too late to start

Even though I suck at math I think you should read your high school books. Lol. In our 9th grade higher math book we have Probability, Vector, Co-ordinate Geometry, Trigonometry etc. In our 11-12th grade book, we have Combinatorics. Your textbook has most of the basic stuff required for Competitive Programming. Finish those then you will realize by yourself what you need to learn next. If you are unable to understand these than I would recommend you grade 6 math book then grade 7 math book and so on.

khanacademy.org study math from the start from here. I can bet my ass you will not regret it.

Hi. Like you, I'm from Bangladesh. Looking at the comments of this post, I'm assuming you are now in class 9 or 10. To solve CF (C, D) problems that is tagged as math category does not require any special knowledge of maths. The amount of math that you learnt upto class 8 should be more than enough to solve every C's and most of the D's.

Basic Mathematics

1. Arithmetic
2. Basic Operations
   • Addition
   • Subtraction
   • Multiplication
   • Division
3. Order of Operations
   • PEMDAS/BODMAS
4. Fractions and Decimals
   • Simplifying Fractions
   • Converting between Fractions and Decimals
5. Percentages
   • Calculations involving percentages
   • Percentage increase/decrease

6. Number Theory

7. Integers and Properties
   • Even and Odd Numbers
   • Prime Numbers
   • Composite Numbers
   • Primality Test
8. Divisibility Rules
   • Basic divisibility rules (2, 3, 5, etc.)
9. Greatest Common Divisor (GCD)
   • Euclidean Algorithm (Basic and Extended)
10. Least Common Multiple (LCM)
11. Modular Arithmetic
    • Basic Concepts
    • Congruences
    • Modular Exponentiation
    • Modular Inverses
    • Chinese Remainder Theorem | Set 1 (Introduction)
    • Euler's Totient Function
    • Lucas Theorem to Compute nCr % p
    • Wilson's Theorem
    • Möbius Function

Algebra

1. Basic Algebra
2. Variables and Expressions
   • Simplifying expressions
3. Linear Equations
   • Solving single-variable equations
   • Systems of linear equations
4. Inequalities
   • Solving and graphing linear inequalities
   • Quadratic inequalities
   • Absolute value inequalities

5. Advanced Algebra

6. Polynomials
   • Operations on polynomials (addition, subtraction, multiplication)
   • Factoring polynomials
7. Quadratic Equations
   • Solving quadratic equations (factoring, quadratic formula)
8. Exponents and Logarithms
   • Laws of exponents
   • Solving exponential equations
   • Introduction to logarithms
9. Sequences and Series
   • Arithmetic and geometric sequences
   • Summation notation and formulas
   • Fibonacci Sequence

Geometry

1. Basic Geometry
2. Points, Lines, and Angles
   • Types of angles (acute, right, obtuse)
   • Parallel and perpendicular lines
3. Triangles
   • Types of triangles (equilateral, isosceles, scalene)
   • Pythagorean theorem
   • Pythagorean Triple
   • Triangle inequality theorem
4. Quadrilaterals and Polygons
   • Properties of squares, rectangles, parallelograms, etc.
   • Area and perimeter formulas

5. Advanced Geometry

6. Circles
   • Radius, diameter, circumference, area
   • Arcs and sectors
7. Coordinate Geometry
   • Distance formula
   • Midpoint formula
   • Equation of a line (slope-intercept form, point-slope form)
   • How to check if two given line segments intersect?
   • How to check if a given point lies inside or outside a polygon?
8. Transformations
   • Translations, rotations, reflections, and dilations
9. Convex Hull
   • Jarvis's Algorithm or Wrapping
   • Graham Scan
10. Closest Pair of Points
11. Bentley–Ottmann Algorithm

Trigonometry

1. Basic Trigonometric Functions
2. Sine, cosine, tangent
3. Basic identities and formulas

4. Right Triangle Trigonometry

5. Solving right triangles
6. Pythagorean identities

7. Unit Circle

8. Understanding and using the unit circle

9. Graphs of Trigonometric Functions

   1. Graphing sine, cosine, and tangent functions

Calculus**(You can skip these on for now)**

**** 11. Basic Calculus 1. Limits and Continuity — Understanding limits — Continuity of functions 2. Derivatives — Basic differentiation rules — Applications of derivatives (tangents, optimization) 3. Integrals — Basic integration techniques — Definite and indefinite integrals — Applications of integrals (area under a curve)

Discrete Mathematics

1. Set Theory

   1. Basic concepts (sets, subsets, unions, intersections)
   2. Venn diagrams

2. Logic and Boolean Algebra

   1. Propositional logic
   2. Boolean expressions and truth tables

3. Combinatorics

   1. Permutations and combinations
   2. Binomial theorem

4. Graph Theory

   1. Basic terminology (vertices, edges, paths, cycles)
   2. Graph traversal algorithms (BFS, DFS)
   3. Shortest path algorithms (Dijkstra's, Bellman-Ford)

5. Mathematical Induction

Advanced Topics for Competitive Programming

1. Advanced Number Theory

   1. Sieve of Eratosthenes
   2. Segmented Sieve
   3. Fermat's Little Theorem
   4. Chinese Remainder Theorem
   5. Modular Exponentiation
   6. Modular multiplicative inverse

2. Advanced Algebra

   1. Matrix operations
   2. Eigenvalues and eigenvectors
   3. Matrix Exponentiation

3. Probability and Statistics

   1. Basic probability concepts
   2. Random variables and distributions
   3. Normal Distribution
   4. Binomial Distribution
   5. Poisson Distribution

4. Game Theory

   1. Grundy Numbers
   2. Sprague-Grundy Theorem
   3. Game of Nim

5. Additional Resources

   1. Practice and Learning Platforms
      • Khan Academy: Comprehensive lessons on all topics from basic to advanced mathematics.
      • Coursera and edX: Online courses from universities on various math topics.
      • YouTube Channels: Channels like 3Blue1Brown, Numberphile, PatrickJMT, and Math The Beautiful.

By following this structured list, you can gradually build up your math skills from the very basics to the advanced topics needed for competitive programming.

coolmathgames.org