Diving into the world of malware analysis is intimidating. I am compiling a list of resources I am using myself as I dive into this and hope they will be useful for others. This list is by no means authoritative or definitive and is a work in progress as I come across new resources.
This will not include any information on recommended background knowledge, but to get the most out of these resources you should have some familiarity with networking, programming and operating systems.
Practical Malware Analysis - https://nostarch.com/malware
MalwareBytes|So You Want To Be A Malware Analyst - https://blog.malwarebytes.com/security-world/2012/09/so-you-want-to-be-a-malware-analyst
vx-underground - https://vx-underground.org