How to prepare for gate maths?

Instead of choosing a random topic from the syllabus, you must break your preparation into sections. Sub-topics from each section should be selected and then strategy on clearing concepts must be made. Never leave any concepts doubtful or unsolved. Once done with the syllabus and concept clarity, you should move towards solving previous years papers. Give mock tests as much as possible. Time management is one more important thing you should look upon. Remember that practise will increase your efficiency.
Important books you can go for-

• Introduction to Real analysis by Donald R. Sherbert Robert G. Bartle.
• Functional Analysis by Rudin
• Solved papers on verbal and numerical ability Made Easy Team