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FROM THE SHARED SHELF · 2006–2026 SAMPLE

Mathematical Physics

Richard Geroch

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SICP doesn't really cover very much in the grand scheme of CS, so "like SICP" might mean ... ... something covering "how to do math". This might be an introductory real analysis or linear algebra book, or (alas, I haven't read much in this area) you could do no wrong looking for books on problem solving, contests, and inequalities, say by Polya or Andreescu. ... a higher-level view of day-to-day mathematical practice. There probably isn't one book for this, but I'd recommend Loomis and Sternberg's Advanced Calculus as a summation of linear algebra and calculus on manifolds; you'd also need to read on complex and functional analysis, algebra (Lang and the unofficial companion volume?), topology ... ... a broad but shallow introduction to several fields and applications unified but a common underlying approach (abstraction and programming language design). I'd recommend Geroch's Mathematical physics, which, as the name implies, studies algebra, algebraic topology, and functional analysis through the common lens of category theory. ... a somewhat quirky book on foundations? You could look for a book on naive or axiomatic set theory, categories, or type theory.

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