A lot of aspirants have asked me the best books to refer to for Mathematics Mains preparation. Almost all of the questions asked in the paper are solved examples from standard text-books. So it is important to identify the correct set of books for your preparation. Here I am providing the list of books which I referred to during my preparation. I was able to attempt all the questions during both my attempts.

Paper – I

**Calculus** – Shanti Narayan – Course on Mathematical Analysis (S. Chand)
**Analytic Geometry** – Shanti Narayan (S. Chand)
**Ordinary Differential Equations** – M.D. Raisinghania (S. Chand)
**Statics** – Krishna Series
**Dynamics **– Krishna Series

Paper – II

**Algebra **– (a) Khanna and Bhambri (b) I. N. Herstein
**Real Analysis** – MD. Raisinghania – Elements of Real Analysis (S. Chand)
**Complex Analysis** – Krishna Series
**Linear Programming** – Krishna Series
**Partial Differential Equations**– M.D. Raisinghania + (Some portion of book on Boundary Value Problem by S. Chand)
**Numerical Analysis** – Jain and Iynger
**Fluid Dynamics** – M.D. Raisinghania
**Mechanics** – Krishna Series (Rigid Dynamics vol.-1 and Vo.-II)

For Linear Algebra and Vector Analysis, I could not find any books relevant to the exam. So I referred to Brilliant Tutorials material to practice questions.

In the next post, I will provide the detailed strategy for preparation and attempting the paper.

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Thanx Very much !!

29 May 2010at4pmHii…sir First of all congratulations to you for your grand success……my one optional is mathematics…..can you pls tell me how much marks u attempted in both the attempts in mathematics mains and how much u got finally ,after a considerable normalization…..and if possible can u pls provide an standard solution of any example…..

Thanks in advance sir…

Thanks a lot….

29 May 2010at4pmLast time I attempted all the questions but in around 4-5 questions worth 80-90 marks, I obtained wrong answers. My final score was 390/600. This year I did not make any mistake and I’ve correctly attempted 600/600, but the marks are still awaited.

Ok, I will try to provide standard solutions when I get the time.

29 May 2010at5pmHi, Can you recall the questions attempted last year?

3 June 2010at8pm@chaitanya: paperI 3,4,8 and paper II- 4,6,7

4 June 2010at2amYou mean you attempted same questions in both the years?

4 June 2010at6pm@chaitanya: i have said for 2009 only. i dont remember for 2008

5 June 2010at1amOk, actually I wanted to know whether you’ve attempted Modern Algebra& Real Analysis (Q.6 and 7 in Paper II)

5 June 2010at4pm@chaitanya: no

5 June 2010at5pmI mean Q 2& 3 in paper II

5 June 2010at4pmAny postal coaching available for mathematics

29 May 2010at8pm@rohan i have given booklist which is far better than any postal coaching.

30 May 2010at2amSir which book to refer for algorithm(numerical analysis) & boolean algebra.Is Khanna & bhambri sufficent for modern algebra.

Sir please tell us which questions did u attempt in both the papers.

Thanks

29 May 2010at9pm@lokesh Yes Khanna and Bhambri is sufficient. Some proofs are better in Herstein, so refer to it also.

I created my own algo and flowchart after referring to multiple sources. For boolean algebra, it was overlapping with electrical. You can read any book on digital electronics(i had morris mano).

My attempt:- Paper I- 3,4,8 and Paper II – 4,6,7

30 May 2010at2amHello

Many many congratulations on your success!!!!

Sir, can you please tell if we can leave any topic while preparation in Paper 1 as well as in Paper 2?

Thanx

30 May 2010at10am@gagan: Thanks. If there is paucity of time, you can leave. But you will not be able to attempt the full paper.

30 May 2010at4pmcongrats sir… n thank u so much fr sharin ur experience..m havin maths n geography.. i need to knw wat shd b d strategy.. shd 1 solve al d questions by hand, shd 1 make notes of wats thr in books.. plz clarify..

30 May 2010at1pm@pratiksha: i will write detailed strategy soon. questions in maths should be definitely solved on paper. making notes is not necessary, but they are good if you have habit of studying notes.

30 May 2010at4pmthnx 4 replyin.. waitin 4 the strategy details.. tc..

31 May 2010at12pmhi prakash

last year, in paper2 i didn’t draw a flowchart in q7…was that a mistake? in question, only algorithm was asked….

31 May 2010at2pm@shrish. No, not at all. I also did not draw it.

31 May 2010at4pmThank u Sir for the reply.Ok ,if i am not able to attempt the whole paper,shouldn’t i then prepare leaving some topics?dats y i m asking…Waiting for the strategy and other details while preparing.

1 June 2010at3am@gagan: first try to improve the speed by practice so that you can attempt the whole(or almost) paper. leaving some topics should be the last option.

1 June 2010at5amsir please also give the book list of electrical engineering and the stratgies to follow.

1 June 2010at5pmOk…Thank you Sir

2 June 2010at2amFirst of congratulations for your splendid success,wish you all the best to be a successful administrator.I am working in HPCL and have background of BTech(Mechanical).I wish to opt Matheatics as one of my optionals,I want to know about the scaling /moderation as I do not have any clear idea,what is the basis/standard/formula adopted for scaling.Since ,you have actually appeared with Maths as a subject ,so expecting an authentic answer from your end.

I apologise for informing that Linear algebra and Vector analysis are a part of Mathematics syllabus in Btech course,covering topics in CS Maths syllabus.

2 June 2010at4pm@prashant: i dont think anybody has clear idea on methodology adopted by upsc regarding scaling. we can only have a guess on it by comparing our correct attempt and final marks obtained. i can confirm it after seeing my marks(they are still not out).

why are you apologizing? its good if they are covered.

3 June 2010at1amsir … i am not an engg student .. what would be the best book for boolean algebra ??

2 June 2010at4pm@adit: if you have read it in graduation then refer to source only. i dont have any idea about books other than

m. morris mano, but i doubt if it is the best book for boolean algebra3 June 2010at1amSir,actually i have not done MECHANICS,FLUID DYNAMICS and COMPUTER PROGRAMMING portion.The books that you have given in your list,are these sufficient for the topics(mechanics,etc,)considering i have not studied it before?Will i be able to understand it if i self-study?

Waiting for the strategy… 🙂

3 June 2010at4am@gagan: yes these books are sufficient for mechanics and fluid dynamics. they contain many solved examples so i think self study is possible. for computer programming i dont know any particular book as there are discrete topics.

3 June 2010at4pmhello sir…..

congratulations for your grand success

sir i have a query…i also have a mathematics optional…

sir how much marks u expect this year in maths(main) paper….

sir i have to give my first attempt next year..i also doing extensive study…so what strategy i make for clearing math paper pls reply sir…

3 June 2010at1pm@aditya: i am expecting at least 400. it is good that you are doing extensive study. i will write detailed strategy soon.

3 June 2010at4pm@aditya: i got 427.

3 June 2010at4pmHello Prakash, I’m B-Tech(I.T) from IIIT-ALLD and this year i have given pre-exam, most probably i would clear it, for mains prep. could u write up smth on this page in detail, abt strategy etc… I’m v-gud in mathematics…. bt still i want to secure it…

3 June 2010at1pm@tejashwi: ok

3 June 2010at6pmnow you will be having some idea of scaling,as in one of the above posts you mentioned you have expected 400 and got 427,what was your correct attempt out of 600,please tell about electrical also

3 June 2010at6pm@prashant: my correct attempt was 600 in both the papers.

3 June 2010at6pmhello prakash sir, do u have an idea regarding the changed pattern of cse pre.

4 June 2010at1pm@vipin sorry, i dont have any concrete idea on that.

4 June 2010at3pmwhat about the nature of the question paper in maths? Is it like the one we face in board exams(10th and 12th)or the one the we face in competitive exams like JEE? So to what level of mastery of each concept is required for the papers?

4 June 2010at4pm@vinay: its in midway between the two.

4 June 2010at4pmhello prakash, now after the declaration of marks, what is your view regarding scaling in maths.i think it must be 50-60 marks in both papers.

5 June 2010at7am@shrish: i think it is higher in paper I, around 70-80. In paper II it may be in the range you mentioned.

5 June 2010at10amthnx sir….u achieve a great score…i am now more motivated….because i think in maths one can achieve high score…..

sir seeing ur mark sheet…m now more tensed about essay section..sir pls tel me the strategy for dis section..

hope to hve reply frm ur side sir

5 June 2010at1pm@aditya: dont get anxious. had i made a good strategy, i would have got much better marks in essay.

5 June 2010at2pmthnx sir,,,,me nt anxious sir…m just feel relaxed…becoz most of the ppl said its difficult to score wid science subjects…..sir pls tel the strategy for essay

5 June 2010at4pmHi Praksh,

Is there any logical sequence of reading the the chapters of mathematics in a particular order, like Linear Algebra and Algebra or ODE and PDE or Dynamics or Fluid Dynamics….etc ..so that we can efficiently prepare in mathematics?

It would be of great help for many Mathematics Aspirants.

9 June 2010at4am@bhaskar: i went with the order mentioned in the syllabus

9 June 2010at7pmBoss,

accept my heartiest Congratulations.

I have a small query. what can be the best strategy to be followed for areas like mechanics,hydrostatics and fluid dynamics because in these areas examiner gets lot of freedom and can frame questions from anywhere?

11 June 2010at5am@nagesh: which syllabus are you referring, hydrostatics is removed from the syllabus. for other two topics refer to the books i have mentioned.

11 June 2010at6amAre there any text books from which we can expect direct questions in

mechanics,hydrostatics and fluid dynamics.

11 June 2010at5amHi Prakash,

Which paper[I/II] and which topics will require amount of time for preparation?Here my point is which part of maths is more error prone or complex or needs multiple revisions compared to other chapters?

12 June 2010at5am@bhaskar: all this varies for different individuals. i require less time for abstract algebra but it may be opposite for others. you can yourself judge this.

12 June 2010at6amHello Prakash,

so nice of you for the blog. really, aspirants with mathematics optional needed this. congretulations for the success in cse.

please tell me,

i have not gone through linear programming in my graduation.

also m not strong in complex analysis,

can they be prepared now by my own with the books u mentioned .

i have done graduation from regional institute of education (ncert).

12 June 2010at7pm@neelam: thanks. yes they can be prepared by own with the books i have mentioned.

13 June 2010at5amare u sure about scaling system?

because they dont mention it anywhere.

12 June 2010at7pmsee i dont have any concrete idea about the scaling system. it is just observation seeing the final marks and correct attempt.

13 June 2010at5ami am having rudin, krishna series – real anlysis,

krishna series, schaums – numerical analysis,

are these ok or i need to go for the books u mentioned, for good results.

one more request : please come up with the posts regarding preparation strategy and attempting paper.

12 June 2010at7pmfor real analysis the book i referred is best. i dont have any idea about the books of numerical analysis, it can be covered from any book.

13 June 2010at5amhello prakash

is krishna series for abstractalgebra (along with herstein ) is enough or need to go for bhambri ?

13 June 2010at4pm@neelam: i havent seen krishna series. but bhambri is very good for the exam.

14 June 2010at7amI have a request ,please tell me what are the publications of following books:

1.Khanna and Bhambri

2.I.N. Hernstein

3.Jain and Iyenger

where can I get them in Delhi.

18 June 2010at12pm@prashant: you can get these books from jawahar book bepot, ber sarai even without naming the publisher.

18 June 2010at12pmok thanks

18 June 2010at12pmwho is the author of :Complex Analysis – Krishna Series,

is that book alone sufficient

25 June 2010at12pm@nitish: i dont remember author’s name. this book does covers entire syllabus, but questions can come from anywhere.

26 June 2010at6amHi prakash,

I am from Bangalore and couple of books i got it from bookshops here and few of them got it from flipkart and indiabeans except Krishna series books ?? Can you tell me exact name of the publisher/authors ….so that i can find over net…

thx

25 June 2010at5pmHi prakash,

For numerical Analysis which book of Jain and Iyengar to refer, “Numerical methods problems and solutions” or “Numerical methods for scientific and Engineering Computations” ? Seeing forward for ur reply.

11 July 2010at6amhello sir,

can u tell us what to refer for Laplace Transforms in ODE??

12 July 2010at7am@venkata: it is advanced diff. eqns. by md raisinghania.

12 July 2010at3pmhello sir,

two more queries..

1. from 2009 paper-I, Q5(a) and also from 2008 paper-I, Q6(a),(particle movement describing an ellipse) to which part of the syllabus do these questions related to?

2. from 2009 paper-I, Q6(c) which method did u follow, whether exact DE or putting y/x=t?

12 July 2010at3pm@venkata: 1. they are from dynamics(both are solved in krishna publication book). 2. i did not solve that ode question.

13 July 2010at1pmhey venkata, you can use u=lnX and v= lnY. it will become a lot simpler 🙂

7 September 2010at6pmHi prakash,

can you please tell the exact books name of the krishna series for various topics? I am unable to find that book in Hyderabad.

17 July 2010at7amDear Sir, Is topology there in the syllabus of upsc ?

24 July 2010at3am@amit: no, topology is not in the syllabus.

24 July 2010at8amhello sir,

the Q5(b) that appeared in 2009 (Wronskian and linear dependence), to which part of the syllabus this Q is related?

24 July 2010at10amhello sir,

Can tell me kindly where to cover the topic ‘application to geometry’ in Vector Calculus.

thank u..

7 August 2010at6pm@arvinda: you can cover that from brilliant’s material.

9 August 2010at3amHello Sir,

I am Avinash from IIT KGP. Right now i am in 3rd year. i am taking Maths and Mechanical as my optionals. i have got funda for maths from your blog. Thanks for that. can you please help me to get funda for Mechanical Engineering paper.

I will be thankful to u for this.

waiting for your kind reply.

12 August 2010at4pm@avinash: i dont have specific funda for mechanical(nor do i know anybody). i think general tips for engg optionals should be similar. i will suggest you to practice ies and ifs papers too.

13 August 2010at8amsir,can u please say the exact title and author of following books as it is not available in Bangalore:

# Statics – Krishna Series

# Dynamics – Krishna Series

#Complex Analysis – Krishna Series

#Mechanics – Krishna Series (Rigid Dynamics vol.-1 and Vo.-II)

waiting for reply

nitish

15 August 2010at3pm@nitish: i am sorry, i dont have books with me right now. you can search for jawahar book depot, ber sarai, delhi. they might deliver the books.

28 August 2010at7amm.d. raising lumina or m.d. raisinghania

24 August 2010at2pmSir I am referring to “A Course of Mathematical Analysis” by Shanti Narayana for the Calculus portion as mentioned by you. I have an old edition and the chapters don’t seem to match as given in ur strategy in “Mathematics Part 2”. Please tell me which chapters should I refer to out of the following (Some topics also seem to belong to “Real Analysis” of Paper-II) :-

1. Real Numbers

2. Bounded Sets, Open & Closed Sets

3. Real Sequences

4. Real Valued Functions of Single Variable, Limit & Continuity

5. Real Valued Functions of Single Variable, Derivability

6. Real Valued Functions of Single Variable, Riemann Integrability

7. Sequences of Functions, Point Wise and Uniform Convergence

8. Elementary Functions

9. Improper Integrals

10. Fourier Series

11. Euclidean Spaces, Open & Closed Sets, Compact Sets

12. Real Valued Functions of Several Variables, Limit & Continuity

13. Partial Derivatives

14. Invertible Functions, Implicit Functions

15. Integrals as Functions of a Parameter

16. Integration in R2, Line Integrals, Double Integrals

17. Curve Lengths, Surface Area

18. Integration in R2, Gauss and Stoke Theorems

2 September 2010at3pm@saurabh: do only examples of :12,13,16,17,18

15 September 2010at1pm@prakash: Thanks for ur reply sir. Do u think these chapters would be sufficient to cover the entire ‘Calculus’ syllabus of Paper-I. Some portions like indefinite intergrals, infinite and improper integrals, riemann’s definition of definite integrals etc. are not covered in this book (parts of integral calculus).

Plus for portions of maxima & minima, asymptotes, curve tracing, lagrange’s method and jacobians, I referred to Differential Calculus Book of Krishna Series. Would it be sufficient or something more is also required.

16 September 2010at6am@saurabh: they do not cover the entire syllabus. but they are only relevant chapters in the book.

17 October 2010at3amHi

sir,I am gopal,5th year student of IIT-KGP.sir,I want to know ,is there any test series available for mathematics(IAS) IN delhi or any where else?I have already finished syllabus so I want to improve through test series.If any then please apprise me I would be thankful to yoy

6 December 2010at7pm@gopal which hall are u in. I am also frm kgp and i am also preparing. Maths is one of my optionals. what is your other optional?

9 December 2010at6pmDear Prakash,

I was trying to find the books mentioned by you,

it is difficult to find krishna series books these days. I could not find complex analysis and Linear programming.

Also in the book Numerical Analysis by Jain & Iyengar – is the actual name of book “Numerical Methods (As per Anna University)” by S R K Iyengar & R K Jain ??

Please do let us know where to find these books.

I am residing in Mumbai.

Regards

Raghuveer

19 May 2011at6amDear Prakash,

I was trying to find the books mentioned by you,

it is difficult to find krishna series books these days. I could not find complex analysis and Linear programming.

Also in the book Numerical Analysis by Jain & Iyengar – is the actual name of book “Numerical Methods (As per Anna University)” by S R K Iyengar & R K Jain ??

Please do let us know where to find these books.

I am residing in Mumbai.

Regards

Raghuveer.

19 May 2011at6amKindly comment on the new changes in Civil Services where there is just a single optional? In addition, I heard that Maths syllabus is lengthier than the time when you appeared for the same.

25 April 2013at1am