UPSC Mathematics Optional | Modern Algebra | Group Theory | Lecture 01 - Binary Operations

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Acknowledgements & References (Booklist):

PAPER – I

1. Linear Algebra
Linear Algebra – A.R. Vasistha (Krishna Series) - https://amzn.to/3HWZ8YW
Matrices – A. R. Vasistha (Krishna Series) - https://amzn.to/3pvq77e
Theory & Problems in Linear Algebra – R.D. Sharma - https://amzn.to/3LRpPiQ

2. Calculus
Differential Calculus­– A.R. Vasistha (Krishna Series) - https://amzn.to/42mu6BV
Advanced Integral Calculus – Dr. D.C. Agarwal ( Krishna Series) - https://amzn.to/3HVcl4y

3. Analytic Geometry
Analytical Geometry 2D – PK Jain – https://amzn.to/42mzXqT
Analytical Geometry 3D – PK Jain - https://amzn.to/3LQBqOT
Analytical Solid Geometry – Vasishtha & Agrawal - https://amzn.to/3B8Lez9

4. Ordinary Differential Equations
Differential Equations – M.D. Raisinghania (S. Chand) - https://amzn.to/3NPNra8
Ordinary Differential Equations – P.S. Datti (IISC Series) - https://amzn.to/44IgItj

5. Dynamics & Statics
Statics– Krishna Series - https://amzn.to/3psuSOW
Dynamics– Krishna Series - https://amzn.to/42JAHpTn
Dynamics - M.D. Raisinghania - https://amzn.to/3pkDl6V

6. Vector Analysis
Vector Calculus – Schaum’s Outline Series - https://amzn.to/42JBTcR
Vector Analysis – JG Chakravorty - https://amzn.to/3HZqrSf
Vector Calculus – Krishna Series - https://amzn.to/3MboFQl
Vector Analysis - Ram Krishna Ghosh - https://amzn.to/3LGVDH2

PAPER – II

1. Modern Algebra
Modern Algebra – Vasistha (Krishna Series) - https://amzn.to/44CsyVM
A course in Abstract Algebra – Khanna and Bhambri - https://amzn.to/3MdXHI9
Modern Algebra – B.S. Vatsa - https://amzn.to/3LSHBCa
Modern Algebra – Lalji Prasad - https://amzn.to/3NQoT0N

2. Real Analysis
Elements of Real Analysis – M.D. Raisinghania (S. Chand Series) - https://amzn.to/41kwRSH
Real Analysis - H.K. Pathak - https://amzn.to/41q1Ixg
Principles of Real Analysis – SC Malik - https://amzn.to/41jOlyQ
An Introduction to Real Analysis – Robert G. Bartle - https://amzn.to/42HIy76

3. Complex Analysis
Functions of a Complex Variable –J.N. Sharma (Krishna Series) - https://amzn.to/41gmr6M
Complex Variables –Schaum’s Series - https://amzn.to/3nE7CgF
Complex Analysis I - G.S. Sandhu - https://amzn.to/3nCIlU8
Complex Analysis II - G.S Sandhu - https://amzn.to/44MYzdO

4. Linear Programming
Operations Research –Kanti Swarup (S. Chand) - https://amzn.to/3HW7obp
Operations Research – S.D.Sharma - https://amzn.to/42HGxaW

5. Partial Differential Equations
M.D. Raisinghania - https://amzn.to/3NPNra8
Partial Differential Equations – Krishna Series – https://amzn.to/3MaVP2z
An Introduction to Partial Differential Equations – K.S. Rao - https://amzn.to/3ptHd5O

6. Numerical Analysis & Computer Programming
P.P. Gupta ( Krishna Series) - https://amzn.to/42HOTzq
Introductory Methods of Numerical Analysis – Sastry - https://amzn.to/3MbkFQ1
Computer Oriented Numerical Methods – V. RajaRaman - https://amzn.to/3pt6MDK
Computer Programming – Exademy Class Notes

7. Mechanics & Fluid Dynamics
Mechanics – DR. Prabin Kalita - https://amzn.to/3pmRpge
Fluid Dynamics – Krishna Series - https://amzn.to/3LL9M69

Non-Programmable Scientific Calculator Mandatory for UPSC Mathematics Exam
FX – 991 ES PLUS - https://amzn.to/3LR0JQT

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UPSC Mathematics Optional Complete Free Course Playlists:

Linear Programming - https://rb.gy/f5qxs
Linear Algebra - https://rb.gy/6yq08
Vector Analysis - https://rb.gy/t6dx2
Complex Analysis - https://rb.gy/flal8
Ordinary Differential Equations - https://rb.gy/6mmqt
Partial Differential Equations - https://rb.gy/gp2yt
Analytical Geometry - https://rb.gy/7kzqz
Numerical Analysis & Computer Programming - https://rb.gy/x1atw
Computer Programming (Exclusive) - https://rb.gy/ojfz3
Modern Algebra - https://rb.gy/fc3gb
Real Analysis Course 1 - https://rb.gy/h9dhl
Real Analysis Course 2 - https://rb.gy/1umod
Real Analysis Course 3 - https://rb.gy/lemw7
Dynamics Course 1 - https://rb.gy/02vkc
Dynamics Course 2 - https://rb.gy/mizf6
Fluid Dynamics - https://rb.gy/egqvz