POST YOUR BEST TEXTBOOKS :

For math I have some stuff I had my old tutor recommended me.

Undergraduate Core:

A Concise Introduction to Pure Mathematics (Martin Liebeck) -

Analysis I (Terrence Tao) -

Linear Algebra Done Right (Axler)

A Book of Abstract Algebra (Pinter)

Introduction to Metric & Topological Spaces (Sutherland)

Analysis II (Terrence Tao)

Princeton Lectures Book 2 - Complex Analysis (Stein & Shakarchi)

Undergrad Extras:

An Infinitely Large Napkin (Evan Chen) - A rapid introduction to many fields of math at the undergraduate and graduate level. Heavily recommend supplementing the undergrad core reading with this.

An Invitation to Ergodic Theory (Silva) -

A sampling of Remarkable Groups (Bonanone et al.) -

Lectures on Fractal Geometry and Dynamical Systems (Pesin and Climenhaga) -

Geometric Group Theory (Loh) - An introduction to the study of groups using geometric/metric techniques.

The Knot Book (Colins) - A very informal introduction to knot theory.

Ramsey Theory on the Integers (Landman and Robertson)

Graduate Core:

Algebra Ch. 0 (Aluffi) - Graduate level Algebra.

An introduction to Measure Theory (Tao) or Measure Theory, Integration and Hilbert spaces (Stein and Shakarchi) - Graduate level real analysis, part 1.

An Epsilon of Room (Tao) - Graduate level real analysis part 2. Includes more on measures and some functional analysis.

Vector Analysis (Janich) or An introduction to manifolds (Tu) - Smooth manifolds.

Linear Analysis (Bella Bollobas) - Functional analysis.

Algebraic Topology (Munkres)

Topology from the Differentiable Viewpoint (Milnor) - Differential topology.

Graduate Extras:

Probability Essentials (Jacod & Protter) - Has measure theory as a prerequisite.

Brownian Motion, Martingales and Stochastic Calculus (Le Gall) - Stochastic processes & calculus. Has measure theoretic probability and functional analysis as a prerequisite.

Princeton Lectures Book 1 and 4 (Stein & Shakarchi) - 1 covers

Introduction to Dynamical Systems (Brin and Stuck) - General overview of dynamical systems, highly recommended.

Introduction to the Modern Theory of Dynamical Systems (Katok Hasselblatt) - Super in depth treatment of dynamical systems, good follow up to the above.

Introduction to 3-Manifolds (Jennifer Schultens) -

Introduction to Riemannian Geometry (Lee) -

An Introduction to Lie Groups and the Geometry of Homogeneous Spaces (Arvanitoyeorgos) - Lie theory.

Measure Theory and Fine Properties of Functions (Evans & Gariepy) -

Ergodic Theory with a view towards Number theory (Ward) -

Morse Theory (Milnor)

Differential Forms in Algebraic Topology (Bott and Tu)

For CHEMISTRY

A Primer of Drug Action, R.M. Julien, 13th ed., by Claire D. Advokat

Katzung, Bertram G., Masters, Susan B., and Trevor, Anthony J. Basic & Clinical Pharmacology, 12th edition. McGraw-Hill Profess. .

Undergraduate

Organic: Organic Chemistry as a Second Language, The art of writing reasonable organic reaction mechanisms

Inorganic: Inorganic Chemistry, Molecular Symmetry and Group Theory

Analytical: Principles of Instrumental Anlsysis, Fundamentals of Analytical Chemistry

Graduate

Organic: Advanced Practical Organic Chemistry, March's Advanced Organic Chemistry, Greene's Protective Groups in Organic Synthesis, Purification of Laboratory Chemicals, Strategic Applications of Named Reactions in Organic Synthesis

Inorganic: Advanced Inorganic Chemistry.

!bookworms