*Hey everyone, welcome to iitmind.com in this post, we will about the "Pathfinder for olympiad (mathematics) book which is a must recommended book for olympiads by Pearson publications.*

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*☆ READ ARTICLE:- Indian national mathematical olympiad (arihamt pdf)*

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*☆ CHAPTERS AND CONTENT OF THIS BOOK:-*

*1. Polynomials*

*2. Inequalities*

*3. Mathematical induction*

*4. Recurrence relation*

*5. Functional equations*

*6. Number theory*

*7. Combinatorics*

*8. Geometry*

*☆ MORE BRIEF CONTENT:-*

*• Chapter 1 (Polynomials):-*

*Polynomial Functions*

*Division in Polynomials*

*Remainder Theorem and Factor Theorem*

*Fundamental Theorem of Algebra*

*Polynomial Equations*

*Vieta’s Relations*

*Symmetric Functions*

*Common Roots of Polynomial Equations*

*Irreducibility of Polynomials*

*• Chapter 2 (Inequalities):-*

*Basic Rules*

*Weirstras’s Inequality*

*Modulus Inequalities*

*Sum of Squares (SOS)*

*Arithmetic Mean ≥ Geometric Mean ≥ Harmonic Mean*

*Weighted Means*

*Power Mean Inequality*

*Rearrangement Inequality*

*Chebyshev’s Inequality*

*Cauchy–Schwarz Inequality*

*Hölders Inequality*

*Some Geometrical Inequalities*

*Jensen’s Inequality*###
*☆ MUST PRACTICE:- Himanshu pandey organic chemistry*

*• Chapter 3 (Mathematical Induction):-*

*Introduction*

*First (or Weak) Principle of Mathematical Induction*

*Second (or Strong) Principle of Mathematical Induction*

*• Chapter 4 (Recurrence Relation):-*

*Introduction*

*Classification*

*First Order Linear Recurrence Relation*

*First Order Non-linear*

*Linear Homogeneous Recurrence Relation*

*with Constant Coefficient of Order ‘2’*

*General Form of Linear Homogeneous Recurrence Relation*

*with Constant Coefficients*

*General Method for Non-Homogeneous*

*Linear Equation*

*• Chapter 5 (Functional Equations):-*

*Function*

*Functional Equation*

*• Chapter 6 (Number Theory):-*

*Divisibility of Integers*

*Euclids Division Lemma*

*Greatest Common Divisor (GCD)*

*Primes*

*Fundamental Theorem of Arithmetic*

*Number of Positive Divisors of a Composite Number*

*Modular Arithematic*

*Complete Residue System (Modulo n)*

*Some Important Function/Theorem*

*Scales of Notation*

*Greatest Integer Function*

*Diophantine Equations*

*• Chapter 7 (Combinatorics):-*

*Definition of Factorial*

*Basic Counting Principles*

*Combinations*

*The Bijection Principle*

*Combinations with Repetitions Allowed*

*Definition of Permutation (Arrangements)*

*Introduction to Circular Permutation*

*Division and Distribution of Non-identical Items in Fixed Size*

*Number of Integral Solutions*

*Binomial, Multinomial and Generating Function*

*Application of Recurrence Relations*

*Principle of Inclusion and Exclusion (PIE)*

*Derangement*

*Classical Occupancy Problems*

*Dirichlet’s (Or Pigeon Hole) Principle (PHP)*###
*☆ MUST DOWNLOAD:- iitjee previous years solved papers*

*☆ MUST DOWNLOAD:- iitjee previous years solved papers*

*• Chapter 8 (Geometry):-*

*Angle*

*Congruent Triangles*

*Triangle Inequality*

*Ratio and Proportion Theorem (or Area Lemma)*

*Mid-point Theorem*

*Basic Proportionality Theorem (Thales’ Theorem)*

*Similar Triangles*

*Baudhayana (Pythagoras) Theorem*

*Quadrilaterals*

*Concurrency and Collinearity*

*Circles*

*Quadrilaterals (Cyclic and Tangential)*

*Application of Trigonometry in Geometry*

*Construction of Triangles*####
*☆ ABOUT PEARSON:-*

*Pearson is the world’s learning company, with presence across 70 countries worldwide. Our unique insights and worldclass expertise comes from a long history of working closely with renowned teachers, authors and thought leaders, as a result of which, we have emerged as the preferred choice for millions of teachers and learners across the world.*

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We believe learning opens up opportunities, creates fulfilling careers and hence better lives. We hence collaborate with the best of minds to deliver you class-leading products, spread across the Higher Education and K12 spectrum.

Bro please upload cengage chemistry all 6 parts

ReplyDeleteOrganic Part 1 & 2

Inorganic Part 1 & 2

Physical Part 1 & 2

You have uploaded Physics and Maths but these books are left. So I request you to please upload them as these books are not available on any site.

Thanking you in Anticipation.