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## Which book is best for modern algebra for UPSC?

LINEAR ALGEBRA. SCHAUM SERIES – Seymour Lipschutz ( Amazon Link ) CALCULUS. MATHEMATICAL ANALYSIS – S C Malik and Savita Arora ( Amazon Link ) ANALYTIC GEOMETRY. ANALYTICAL SOLID GEOMETRY – Shanti Narayan and P K Mittal ( Amazon Link ) ORDINARY DIFFERENTIAL EQUATIONS (ODE) DYNAMICS AND STATICS. VECTOR ANALYSIS.

## What are the topics under modern algebra?

Elaborate main properties of rings, subrings, ideals and quotient rings, rings of polynomials and formal power series, division in rings. Extend group structure to finite permutation groups (Cayley’s Theorem). Prove Sylow’s Theorems for finite groups. Generate groups given specific conditions.

## Is Upsc maths optional easy?

Any good maths graduate should find the questions of an easy to medium difficulty level. Not many UPSC candidates take up this optional, so your competition is limited when compared to subjects like history or sociology.

## Is mathematics scoring in UPSC?

High Objectivity and hence Scoring – Maths is and has always been a scoring subject, be it in the UPSC exam or any other exam. In the past few years consistently students with maths optional have performed well and obtained very good ranks.

## Who is the father of modern algebra?

Frangois Viète (Latin: Vieta), a great French mathematician, is credited with the invention of this system, and is therefore known as the “father of modern algebraic notation” [3, p. 268]. In other words, Viète’s main innovation in algebra was the use of variable coefficients.

## What is the hardest algebra problem?

For decades, a math puzzle has stumped the smartest mathematicians in the world. x3+y3+z3=k, with k being all the numbers from one to 100, is a Diophantine equation that’s sometimes known as “summing of three cubes.”

## What are the 3 rules of algebra?

There are many laws which govern the order in which you perform operations in arithmetic and in algebra. The three most widely discussed are the Commutative, Associative, and Distributive Laws.

## What are the 5 steps of algebra?

Identify the problem. Identify what you know. Make a plan. Carry out the plan. Verify that the answer makes sense.

## Which is the shortest optional in UPSC?

Philosophy has the shortest syllabus out of all of the optional subjects for the UPSC examination and is the reason for it is a popular choice amongst UPSC aspirants.

## Which level of Maths comes in UPSC?

What is the syllabus of UPSC maths? there will be two papers, Paper 1 and Paper 2 in the UPSC Maths syllabus, and they cover topics like Linear Algebra, Calculus, Analytic Geometry, Ordinary, Differential Equations, Algebra, Real Analysis, Complex Analysis, Linear Programming, and Partial Differential Equations.