Ask & Answer: India's Largest Education Community

Hi Saumy,
Yes, you can opt for mathematics as an optional subject for UPSC civil services examination. Some of the popular books for the paper I are:
Linear Algebra :
Schaums outline on Linear Algebra: this book has explained linear algebra in a far better and simpler manner than Krishna Series. Due to its clarity, it can be read quickly also.
Krishna Series on Matrices
Calculus :
Krishna Series on Differential calculus
Krishna Series on Integral calculus
Mathematical Analysis by Malik and Arora : a must read book for both Paper I and II
Analytical Geometry :
Krishna Series on Analytical Geometry : this book is better than Shantinarayan and has many solved examples
Krishna Series on Analytical Solid Geometry : for Conicoids, Generating Lines
Ordinary Differential Equations:
Ordinary and Partial Differential Equations by MD Raisinghania
Advanced Differential Equations by MD Raisinghania : required for Laplace Transforms (Paper-I) and Boundary value problems (Paper-II)
Dynamics and Statics
Krishna Series on Statics
Krishna Series on Dynamics
Vector Analysis
Krishna Series on Vector Calculus (~ 330 pages)
Schaums outline on Vector Analysis
For Paper II:
Abstract Algebra: This being my favourite topic, I had referred many books. But as many candidates find this topic tough, I would suggest referring to following books.
Abstract Algebra, Group Theory by R Kumar (Vardhaman Publications)
Abstract Algebra, Ring Theory by R Kumar (Vardhaman Publications)
Abstract Algebra by Joseph Gallian (optional)
Real Analysis:
Mathematical Analysis by Malik and Arora
Real Analysis by MD Raisinghania
Complex Analysis:
Krishna Series
Linear Programming:
Operations Research by JK Sharma or Kanti Swarup or Krishna Series
Partial Differential Equations:
ODE and PDE by MD Raisinghania
Engineering Maths by Grewal : for boundary value problems
Advanced Differential Equations by M.D Raisinghania (for boundary value problems)
Numerical Analysis and Computer programming:
Numerical Methods by Jain and Iyengar (but questions are not coming from this book from past few years)
Numerical Analysis chapter from Grewal, Engineering Mathematics
For Algorithms and flowcharts, I am having soft copy of a book which I will share.
Mechanics and Fluid Dynamics:
Fluid Dynamics by MD Raisinghania
Krishna Series, Dynamics for Moment of Inertia and D Alemberts Principle
Krishna Series, Rigid Dynamics for Lagrangian and Hamiltonian

Transportation Design
This program endeavors to provide interdisciplinary and progressive knowledge of vehicle design. The objective of this program is to impart learning that will produce graduates, competent in terms of skill and knowledge to work with designers for the auto industry. Studies include the understanding and identification of the transportation and mobility sectors and finding creative solutions.
Automotive design is the profession involved in the development of the appearance, and to some extent the ergonomics, of motor vehicles or more specifically road vehicles. This most commonly refers to automobiles but also refers to motorcycles, trucks, buses, coaches, and vans.
Product design is an inculcation of creativity, sustainability, innovation and management of all the products we see around us. Product design deals with complete development of a product. It is a larger umbrella under which almost all of the organizations work, depending upon their area of expertise and their philosophy of existence.
Product Design aims in improving the overall performance of an object, from all the perspectives, catering the need of lifestyle products, accessory design, jewelry design, apparel design and so on.
Both of these programs are available at UPES Dehradun. UPES is one of the best university for Design programs. This time admissions are open in UPES on the basis of CEED score for M.Des programs.

Admission in any programme depends on qualifying the Eligibility criteria for that programme. So, first of all decide the programme and University that you want to join and check its Eligibility criteria for Admission. As per my experience, LPU is the best place to pursue an engineering degree with highly qualified teaching staff, best laboratories, and modern technologies. LPU provides abundant opportunities for students to think out of the box. LPU conducts LPU NEST for all the programmes. LPU NEST is National Entrance and Scholarship Test for admission to various programmes in Lovely Professional University. This test forms the basis of eligibility and scholarship for most of the programmes and for some of the programmes test is applicable only for scholarship. For most of the programmes, it serves both the purposes. As per the official website of LPU, the Schedule for LPU NEST has been started for all the programmes for this current session I. e 2021. As far as Scholarship is concerned, the amount of scholarship depends on the fee of the programme, date of admission and performance of the student in LPU NEST. Also, there is no negative marking in this exam so chances of scoring well are more in this. As per the website, Last Date of submission of Application for LPU NEST 30th April 2021. In order to apply for the Exam, you can refer the following steps :
1 Register yourself on the portal
2. Fill the details
3. Choose the programme
4. Apply for LPUNEST
5. Make the payment for LPU NEST and Book the slot for the Exam I. e date and time for the exam as per your availability.
6. Appear and Qualify the LPU NEST and wait for Result
7. Participate in Online Counselling and Seat Allotment Process if applicable
8. After the seat allotment, proceed for Admissions. You can register yourself on the portal at this link - admission. Lpu. In
Hope this information helps !