Have you started your UPSC IAS exam preparation yet? Are you apprehensive about UPSC maths optional syllabus? Have you found the right resources that can give you the right materials to study for the IAS exam? Can’t decide which sources to believe when it’s coming about choosing the right kind of material? Well, calm down! We have got your back here.

Here in this article, you are going to get a complete list of UPSC maths optional books that too as per the UPSC maths optional syllabus. Read the article till the end to find important web links that will definitely help you prepare for the upcoming IAS exam.

## Maths as an UPSC Optional Subject

Selecting the correct optional subject for UPSC Mains is a critical decision for all UPSC candidates. A good rule of thumb is to choose a subject in which you have some academic experience and a true interest. Other considerations to consider in picking the Optional Topic include the subject’s prior performance in UPSC, the time needed to prepare the subject, the subject’s input to the General Studies syllabus, and the tutoring available in the subject.

First and foremost, a candidate must have studied mathematics during his or her undergraduate studies. Even if one has done well in mathematics up to 12th grade, it is insufficient for UPSC Mains.

Second, an applicant must have a real interest in the subject, as the curriculum will appear overwhelming to someone who lacks enthusiasm for it. A student with a passion for Maths, on the other hand, will not find creating concepts and practising them difficult at all.

### UPSC Maths Optional Books List

Let’s take a look at the recommended UPSC maths optional books. Below is the list divided into Paper 1 and Paper 2 as per the UPSC maths optional syllabus and also divided topic-wise.

*Linear Algebra* – A.R.Vasishtha

*Calculus and Real Analysis* – S.C Malik and Savita Arora Shanti Narayana

*3-D Geometry* – P.N. Chatterjee

*Ordinary Differential Equations* – M.D. Raisinghania, Ian Sneddon

*Vector Analysis* – A.R. Vasista

*Algebra* – Joseph A. Gallian, Shramik Sen Upadhayay

*Complex Analysis, Schaum Series* – J.N. Sharma, Ponnu Swami

*Linear Programming* – Shanti Swarup, Kanti Swarup

*Numerical Analysis* – Jain and Iyenger, K. Shankar Rao, S.S. Sastry

*Computer Programming* – Raja Raman

*Dynamics & Statics* – A.R. Vasista

*Mechanics and Fluid Dynamics* – M.D. Raisinghania, R.K. Gupta, J.K. Goyal and K.P. Gupta

**Also Read:** **Check-out the Complete UPSC Mathematics Optional Syllabus**

### UPSC Maths Optional Syllabus

Let’s have a look at the UPSC maths optional syllabus before going through the booklist divided into Paper-I and Paper-II.

#### PAPER I

Linear Algebra

Calculus

Analytic Geometry

Ordinary Differential Equations

Dynamics & Statics

Vector Analysis

#### PAPER II

Algebra

Real Analysis

Complex Analysis

Linear Programming

Partial differential equations

Numerical Analysis and Computer programming

Mechanics and Fluid Dynamics

### Books for Mathematics Paper I

*Linear Algebra* – K.C. Prasad, K B Datta

*Calculus* – Shanti Narayan Integral Calculus

*Differential Calculus*

*Vector Calculus*

*Analytic Geometry* – Shanti Narayan, HC Sinha, DK Jha and Sharma

*Ordinary Differential EQs:- MD Raising Lumina, Golden series*-NP Bali

*Dynamics, Statistics, and Hydrostatics *– M.Ray

*Vector analysis* – Shanti Narayan

**Also Read:** **Here’s Another List of Books for Mathematics**

### Books for UPSC Maths Optional Syllabus Paper II

*Algebra* – K C Prasad, KB Datta

*Real Analysis* – Shanti Narayan, Royden

*Complex Analysis* – GK Ranganath

*Linear Programming* – SD Sharma

*Partial Diff.eqs*. – Singhania

*Numerical analysis and Computer Prog*. – V. Rajaraman, SS Shastri

*Mechanics & Fluid dynamics* – AP Mathur, Azaroff Leonid

### Other Important Books for IAS Exam

*Modern Algebra* – A. R. Vashisth

*Algebra* – J. N. Sharma and S. N. Goyal

*Linear Algebra – Schaum Series *(Lipshutz) or Sharma and Vashisth

*Matrices – Schaum Series *(Frank Ayres) or Vashisth

*Calculus* – I. A. Menon

*Coordinate Geometry* – R. L. Soni

*Solid Mechanism* – Kazmioo

*Mathematics Dictionary* – James

*Differential Equations – Schaum Series *(Frank Ayres) or N.M. Kapur or Raisinghania

*Numerical Analysis* – S.S. Sastry

*Complex Analysis* – Schaum Series or J.N. Sharma

*Operations Research* – Kanti Swaroop or Manmohan

*Differential Calculus* – Gorakh Prasad

*Analytical Solid Geometry* – Shanti Narayanan

*Text Book of Coordinate Geometry* – Rai Ballabh

*Mechanism* – D. S. Mathur

*Statistical Mechanism* – Carson Horg

**Also Read:** **Here’s The Important UPSC Maths Optional Question Papers**

### Why Choose UPSC Maths Optional for UPSC IAS Exam?

There are certain factors that work in your favour if you take Maths as your optional subject for the IAS exam. Let’s look at the general advantages one can have by taking maths as his/ her optional subject.

#### Scoring

Mathematics is one of the most scoring subjects in the school level, graduation or even the UPSC IAS exam. If one is prepared enough and has written the right answer, there is no scope of getting marks deducted in this subject.

#### Direct Questions

UPSC maths optional questions are direct type. Most of those are given from the textbooks. Anybody who is prepared well will find those questions to be easy to medium on the difficulty level.

#### Static

UPSC maths optional syllabus is static. It is not related to current affairs or news thus does not need frequent updating. One just needs to finish the syllabus and prepare that very well.

### Preparation Tips for UPSC Maths

If your professors in high school and college advised you that the best way to get good grades was to practise math problems a lot and avoid making dumb mistakes, they were perfectly correct. These are the fundamentals for excelling in mathematics. We’ve put up a list of recommendations to help you do well in the UPSC Mains Maths Optional subject.

**Increase Your Practise Time**

Practicing gets you faster at fixing issues and improves your speed and efficiency, which will help you perform well on tests.

#### Avoid Silly Mistakes

Even one erroneous sign or number might cost you a lot of money. To prevent making such foolish blunders, keep cool and concentrated while answering questions. However, a lot of practise will help you prevent such errors. Also, immediately before the exam ends, set aside some time for revision so you may double-check your answers and make any necessary revisions.

#### Be Systematic

Along with the appropriate solution, presentation is quite important. As a result, write the answer in a neat and orderly manner. Do not rush through any key steps or write the solution clumsily.

#### Do Not Cram Maths

Maths is a logical topic, therefore don’t try to cram answers or theorems into your head. Simply grasp the logical flow and solidify your notions; this will aid you in solving all types of questions because you will be able to use logic in tests and will not miss any critical steps in the solution.

#### Formulas

This is something that any applicant who has Maths as a secondary subject should remember. Mathematical formulae are the foundation of the subject. Prepare a formula page with all of the formulae on it so that you can revise it at any time and from anywhere.

##### Conclusion

Hopefully, this list of UPSC maths optional books will help you prepare better for the UPSC maths optional syllabus. For more informative posts on this and UPSC maths optional question papers and other UPSC IAS exam-related informative posts, keep an eye on this page. Do share your feedback by commenting in the below box.

Check out the options subject courses on UPSC Pathshala to learn how to tackle a paper.

**Also Read : ****Power of an IAS Officer: What does an IAS Officer Do? Check-out Everything in Detail**

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