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In fact, it’s increased under the new Mains-syllabus post-2013. Let’s face it, UPSC added so many topics and so many random questions, even fulltime student struggles to gather and process all standard reference books and material himself within the short time available to him.
PAPER – I
- Linear Algebra
- Linear Algebra – A.R. Vasistha (Krishna Series)
- Matrices – A. R. Vasistha (Krishna Series)
- Calculus
- Differential Calculus– A.R. Vasistha, Dr. S.K Sharma (Krishna Series)
- Advanced Integral Calculus – Dr. D.C. Agarwal ( Krishna Series)
- Analytic Geometry
- Solid Geometry – P.N. Chatterjee)
- Ordinary Differential Equations
Ordinary and Partial Differential Equations – M.D. Raisinghania (S. Chand)
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- Dynamics & Statics– Krishna Series
- Statics– Krishna Series
- Dynamics– Krishna Series
- Vector Analysis
- Vector Calculus – A.R. Vasistha & J.N. Sharma
- Vector Calculus – Shanti Narayana
- Curves in Spaces – P.N. Chatterjee (Class Handout)
PAPER – II
- Modern Algebra
- Modern Algebra – Vasistha (Krishna Series)
- A course in Abstract Algebra – Khanna and Bhambri
- Modern Algebra – I. N. Herstein (John Wiley Publications)
- Real Analysis
- Elements of Real Analysis – M.D. Raisinghania (S. Chand Series)
- Complex Analysis
- Functions of a Complex Variable –J.N. Sharma (Krishna Series)
- Complex Analysis –Schaum’s Series
- Linear Programming
- Operations Research –Kanti Swarup, P. K. Gupta, ManMohan (S. Chand)
- Operations Research – S.D.Sharma
- Partial Differential Equations
- M.D. Raisinghania ( Refer Paper – I Same book)
- Numerical Analysis & Computer Programming
- A. R. Vasistha ( Krishna Series)
- Introductory Methods of Numerical Analysis – Sastry
- Numerical Methods – V. RajaRaman
- Computer Programming – Class Handout
- Mechanics & Fluid Dynamics
- Fluid Dynamics – M.D. Raisinghania
- Mechanics – S. Chand Publications
Strategy for UPSC/IAS/IFoS(IFS)/CSE-Civil Service Exams
& Strategy for Mathematics/Maths Optional
What chapters should be covered in ODE & PDE for mathematics/Maths Optional of from MD Raisinghania book?
Part-I (ELEMENTARY DIFFERENTIAL EQUATIONS)
For O.D.E (Paper-I Section B)
- 1. 1.10
- 2. 2.45
- 3. 3.12
- 4. 4.39
- 5. Complete
- 6. Complete
- 7. Complete
- 8. Not in our syllabus. So, not required at all
- 9. Not in our syllabus. So, not required at all
- 10. 10.54
- 11. Not in our syllabus. So, not required at all
For Laplace transformations is not covered in this book. So you can study from ADVANCED DIFFERENTIAL EQUATIONS BY SAME AUTHOR MD RAISINGANIA.
Part-II (ADVANCED ORDINARY DIFFERENTIAL EQUATIONS AND SPECIAL FUNCTIONS)
Not in our syllabus. So, not required at all.
Part-III (PARTIAL DIFFERENTIAL EQUATIONS)
For P.D.E (Paper-II Section B)
- 1. Complete
- 2. Complete
- 3. Complete
- 4. Complete
- 5. Complete
- 6. Complete
- 7. Not in our syllabus. So, not required at all
- 8. 8.36
- 9. Not in our syllabus. So, not required at all
- 10. Not in our syllabus. So, not required at all
For Boundary value problems you can study from the same author book. “ADVANCED DIFFERENTIAL EQUATIONS BY MD RAISINGANIA”.
For many of the books listed above, corresponding books in Hindi language are available in the market. Hindi medium students may check the link UPSC Books in Hindi Language to buy online at discounted prices.
Check out UPSC Mains Mathematics Reference Books 2020 for Civil Services / IAS / IPS / IES exams. Earlier we’ve provided UPSC Notification 2020 and UPSC Mains Mathematics Question Papers 2019. Now we are providing UPSC Mains Mathematics books for reference. Here we suggested famous IAS books with author and publication name for UPSC 2020 exam. Following are the Mathematics books are in Hindi medium and English. In our next article, we’ll provide UPSC Mains Mathematics Notes in pdf. Given Books are useful for IFS (Indian Forest Services) Exam also.
Also Check :
IAS Mains Mathematics Exam Date 2020
IAS Mains Exam Update 2020: The Civil Services IAS Mains Exam will be held in June 2020. The Exam will be in two sessions, the morning session will be held between 9 AM and 12 PM while the evening sessions will be held between 12 PM and 5 PM.
UPSC IAS Mains Mathematics Exam 2020 will be held on June 2020
For more details about UPSC Exam Schedule, Date & Time
UPSC Mains Mathematics Reference Books 2020
Paper-I
- Analytic Geometry – Shantinarayan, HC Sinha, DK Jha and Sharma
- Calculus – Santhi Narayan
- Dynamics, Statics, and Hydrostatics – M.Ray
- Linear Algebra – K C Prasad, K B Datta
- Ordinary Differential eqs: MD Raising Lumina, Golden seris-NP Bali
- Vector analysis – Shantinarayan
Paper-II
- Algebra – K C Prasad, KB Datta
- Complex Analysis – GK Ranganath
- Linear Programming – SD sharma
- Mechanics & Fluid dynamics – AP Mathur, Azaroff leonid https://www.amazon.in/gp/product/9332520712/ >Buy from Amazon.in
- Numerical analysis and Computer Progg. – V. Rajaraman, SS Shasri
- Partial Diff.eqs. – Singhania
- Real Analysis – Shantinarayan, Royden
Other Important Books
- Algebra – J N Sharma and S. N. Goyal
- Analytical Solid Geometry – Shanti Narayanan
- Calculus – I. A. Menon
- Complex Analysis – Schaum Series or J N Sharma – Buy from Amazon.in
- Coordinate Geometry – R. L. Soni
- Differential Calculus – Gorakh Prasad
- Differential Equations – Schaum Series (Frank Ayres) or N.M. Kapur or Raisinghania – Buy from Amazon.in
- Linear Algebra – Schaum Series (Lipshutz) or Sharma and Vashisth – Buy from Amazon.in
- Mathematics Dictionary – James – Buy from Amazon.in
- Matrices – Schaum Series (Frank Ayres) or Vashisth – Buy from Amazon.in
- Mechanism – D. S. Mathur
- Modern Algebra – A. R. Vashisth
- Numerical Analysis – S S Sastry – Buy from Amazon.in
- Operations Research – Kanti Swaroop or Manmohan
- Solid Mechanism – Kazmioo
- Statistical Mechanism – Carson Horg
- Text Book of Coordinate Geometry – Rai Ballabh
About Mathematics Subject in UPSC Mains Exam
Mathematics is the science that deals with the logic of shape, quantity, and arrangement. Through the use of abstraction and logic, mathematics developed from counting, calculation, measurement, and the systematic study of the shapes and motions of physical objects. Mathematics is essential in many fields, including natural science, engineering, medicine, finance, and the social sciences.
Why UPSC Reference Books / Suggested Books are Important
UPSC Reference Books can provide general background information (facts, definitions, dates, details), assistance in focusing your topic, quick access to important factual and statistical information, and references to other sources of information. It is, therefore, a good place to begin your research. Reference materials for UPSC IAS / IFS / IPS / IES Exams include almanacs, handbooks, encyclopedias, and dictionaries. To Prepare, UPSC Exams students should refer some suggested books by toppers. We’ve provided a few recommended books for IAS Preparation. These are books suggested by IAS Toppers.
View & Get the complete set of Reference Books for IAS Mains Mathematics subject 2020. We’ve provided the list of recommended books for IAS Mains Mathematics Paper. Share this article “UPSC Mains MathematicsReference Books 2020 – IAS / IPS / IES” to other UPSC IAS / IES / IFS Aspirants and help them to crack UPSC Exams.
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