Is there any way you can help a brainlet friend of mine with creating a mathematics reading list for the next five years or so? He sent me this, based on charts from here and lurking elsewhere, and it looks long and unwieldy. What would you remove, reorder, replace, etc.?
Smith - Logic: The Laws of Truth
Gelfand - Algebra
Gelfand - Functions and Graphs
Gelfand - Trigonometry
Gelfand - The Method of Coordinates
Gelfand - Geometry
Lang - Basic Mathematics
Hammack - Book of Proof
Ash - A Primer of Abstract Mathematics
Apostol - Calculus, Vol. 1: One-Variable Calculus, w/ intro to Linear Algebra
Apostol - Calculus, Vol. 2: Multi-Variable Calculus and Linear Algebra
Enderton - Elements of Set Theory
Landau - Foundations of Analysis
Allendoerfer & Oakley - Principles of Mathematics
Smith, Eggen, & St. Andre - A Transition to Advanced Mathematics
Spivak - Calculus
Friedberg - Linear Algebra
Pinter - A Book of Abstract Algebra
Abbott - Understanding Analysis
Rudin - Principles of Mathematical Analysis
Tao - Analysis I
Tao - Analysis II
Ross - A First Course in Probability
Jaynes - Probability Theory: The Logic of Science
Artin - Algebra
West - Introduction to Graph Theory
Munkres - Topology
Do Carmo - Differential Geometry of Curves & Surfaces
Hardy & Wright - An Introduction to the Theory of Numbers
Ireland & Rosen - A Classical Introduction to Modern Number Theory
Jech - Set Theory
Hodges - Model Theory
Homotopy Type Theory: Univalent Foundations of Mathematics
Mac Lane - Categories for the Working Mathematician
Aluffi - Algebra: Chapter 0
Rudin - Real & Complex Analysis
Smith - Logic: The Laws of Truth
Gelfand - Algebra
Gelfand - Functions and Graphs
Gelfand - Trigonometry
Gelfand - The Method of Coordinates
Gelfand - Geometry
Lang - Basic Mathematics
Hammack - Book of Proof
Ash - A Primer of Abstract Mathematics
Apostol - Calculus, Vol. 1: One-Variable Calculus, w/ intro to Linear Algebra
Apostol - Calculus, Vol. 2: Multi-Variable Calculus and Linear Algebra
Enderton - Elements of Set Theory
Landau - Foundations of Analysis
Allendoerfer & Oakley - Principles of Mathematics
Smith, Eggen, & St. Andre - A Transition to Advanced Mathematics
Spivak - Calculus
Friedberg - Linear Algebra
Pinter - A Book of Abstract Algebra
Abbott - Understanding Analysis
Rudin - Principles of Mathematical Analysis
Tao - Analysis I
Tao - Analysis II
Ross - A First Course in Probability
Jaynes - Probability Theory: The Logic of Science
Artin - Algebra
West - Introduction to Graph Theory
Munkres - Topology
Do Carmo - Differential Geometry of Curves & Surfaces
Hardy & Wright - An Introduction to the Theory of Numbers
Ireland & Rosen - A Classical Introduction to Modern Number Theory
Jech - Set Theory
Hodges - Model Theory
Homotopy Type Theory: Univalent Foundations of Mathematics
Mac Lane - Categories for the Working Mathematician
Aluffi - Algebra: Chapter 0
Rudin - Real & Complex Analysis