Hi,

The minimum eligibility for applying for the Indian Space Research Organisation (ISRO) exam is a graduation/post graduation in Engineering with an aggregate of 65% marks from a recognised university. The age limit should not exceed 35 years.

The syllabus for the ISRO entrance exams is given below. The detailed syllabus can be found on the website www[dot]isro[dot]org or in the preparations books and previous papers or on www[dot]indianshout[dot]com/syllabus-isro-exam/syllabus-isro-exam

Syllabus of Scientists/Engineers (SC) Electronics ECE

1. Physical Electronics, Electron Devices and ICs
2. Signals and systems
3. Network Theory
4. Electromagnetic Theory
5. Analog Electronic Circuits
6. Digital Electronics Circuits
7. Control Systems
8. Communication Systems
9. Microwave Engineering
10. Computer Engineering

ISRO Scientists/Engineers (SC) Computer Science

1. Theory of computations
2. Digital Logic
3. Computer Organization and Architecture
4. Programming and Data Structures
5. Algorithms
6. Compiler Design
7. Operating System
8. Databases
9. Computer Networks

ISRO Scientists/Engineers (SC) Mechanical

1. Engineering Mathematics
2. Applied Mechanics and Design
3. Fluid Mechanics and Thermal Sciences
4. Manufacturing and Industrial Engineering

Some of the books for ISRO Entrance Exam are:

1. Electromagnetism : William Hayt
2. Electronics : Halkiyas, Boylestad
3. Communication Engineering : BP Lathi
4. Maths : BS Grewal
5. Control System : Kuo, Nagrath Gopal
6. Power Electronics : Rashid
7. You can also refer to the book by "Made Easy Publication "

Hope the information is useful.

Good luck!!! 

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