Balakrishnan is in rigor but shorter and more focused on physics intuition. It lacks the massive reference tables of Arfken – that is a feature, not a bug.
You may be able to download the eBook through institutional access on SpringerLink . Key Chapters: Warming Up: Functions of a Real Variable Generalized Functions and Tensors Linear Vector Spaces and Operator Algebras Stochastic Processes and Probability Green’s Functions and Partial Differential Equations 3. Video Lectures mathematical physics v balakrishnan pdf