What are the books IIM A, B, and C follow for finance, marketing, strategy and operations management?

The books followed by IIMs depend upon the faculty and the specific courses being taught. 

Here are the commonly recommended books for these subjects-

• Finance-

•  Principles of Corporate Finance by Richard Brealey, Stewart Myers, and Franklin Allen
• Financial Management: Theory and Practice by Prasanna Chandra
• Security Analysis and Portfolio Management by Donald E. Fischer and Ronald J. Jordan
• Investments by Zvi Bodie, Alex Kane, and Alan J. Marcus
• Corporate Finance: A Focused Approach by Michael C. Ehrhardt and Eugene F. Brigham

• Marketing-

• Marketing Management by Philip Kotler
• Consumer Behavior: Buying, Having, and Being by Michael R. Solomon
• Strategic Brand Management by Kevin Lane Keller
• Marketing Metrics: The Definitive Guide to Measuring Marketing Performance by Paul W. Farris, Neil T. Bendle, Phillip E. Pfeifer, and David J. Reibstein
• The New Rules of Marketing and PR: How to Use Content Marketing, Podcasting, Social Media, AI, Live Video, and Newsjacking to Reach Buyers Directly by David Meerman Scott

• Strategy-

• Competitive Strategy: Techniques for Analyzing Industries and Competitors by Michael E. Porter
• Blue Ocean Strategy: How to Create Uncontested Market Space and Make the Competition Irrelevant by W. Chan Kim and Renée Mauborgne
• Good Strategy Bad Strategy: The Difference and Why It Matters by Richard P. Rumelt
• The Innovator's Dilemma: When New Technologies Cause Great Firms to Fail by Clayton M. Christensen
• The Lean Startup: How Today's Entrepreneurs Use Continuous Innovation to Create Radically Successful Businesses by Eric Ries

• Operations Management-

• Operations Management by Jay Heizer and Barry Render
• Production and Operations Management by R. B. Khanna
• Operations Strategy by Nigel Slack and Michael Lewis
• The Goal: A Process of Ongoing Improvement by Eliyahu M. Goldratt and Jeff Cox
• The Toyota Way: 14 Management Principles from the World's Greatest Manufacturer by Jeffrey K. Liker

This list is not fixed for IIM A, B, C, or any other IIM. The professors at each IIM have their own preference list of the books and resources for their respective course. 

By discussing other courses, as well as the teaching style, The question can be better understood.

The teaching method of IIM Ahmedabad is case pedagogy. It elaborates case discussions, accompanied by books as well as readings from different reputable journals, magazines and online articles.

Students are provided with case packs, which combine the cases with the readings needed. These readings are most often certain chapters from a book. The case pack is self sufficient which eliminates the need of a book.

Everyone is aware of exactly what will be taught on what day, so it becomes more meaningful to plan and participate in the lesson.

Now focussing on the broader areas, such as how much they are driven by cases vs. readings/books. For the different areas like economics, marketing, operations, finance and strategy the books that we follow are:

Economics - The courses are entirely driven by theory.

• Economics : Paul Samuelson
• Macroeconomics : Errol D Souza
• Microeconomics : Paul Krugman
• Principles of Macroeconomics : Gregory Mankiw

Finance and Accounting - The courses are mostly driven by books rather than cases.

• Accounting : Anthony
• Cost Accounting: A Managerial Emphasis : Horngren
• Investments : Bodie, Kane and Marcus
• Investment Valuation : Aswath Damodaran
• Options, Futures and Derivatives : Hull
• Principles of Corporate Finance : Brealey, Myers, Allen
• Trading and Exchanges : Haaris

Marketing and Business Research - The courses are mostly driven by cases

• Business Research Methods : Cooper and Schindler
• Principles of Marketing : Philip Kotler

Operations Management - The courses are largely driven by cases and less by books

• Operations Management : Stevenson

Strategy - The courses are focuses equally on cases and books

• Competitive Strategy : Porter
• HBR's 10 Must Reads : On Strategy
• Competing for the Future : Hamel, Prahalad

Others - 

• A First Course in Probability : Sheldon Ross
• Human Resource Management : Dressler
• Legal Aspects Of Business : Akhil Pathak

I hope my answer will help you in future. There are more books which you can find in bookstores and also online. Do not worry, because the syllabus is designed in a way that reduces the usage of books. They are mostly used as a reference material. They mainly focus on case studies for core learning. Best of luck!