# Biography

1. Calculus Early Transcendentals, Course Notes - J.S. Milne Top. All of Milne’s books are really kind and very easy to read (math.stackexchange.com).
2. LibreTexts, MTH 210 Calculus I (Professor Dean)
3. UTRGV Calculus
4. Study Guides, Calculus.
5. Paul’s Online Notes, QUICK NAV, Calculus I.
6. Math24, Calculus.
8. YouTube, Internet Archive, D.tube, and odysee.
9. Evan Dummit’s Course Notes Page.

# Video Lectures:

1. Free Video Lectures.
2. Andrew Misseldine.
3. ICTP Mathematics, Abstract Algebra - Lothar Göttsche
4. Oxford Mathematics, 1st Year Student Lectures.
5. MIT OpenCourseWare, MIT 18.01 Single Variable Calculus, Fall 2007.
6. Richard E. BORCHERDS.
7. A First Course in Calculus.

# Math symbols

• Greek letters, α, β, γ, δ, ε, ζ, η, θ, ι, λ, μ, π
• ∀ ∃ ≈ ∞
• ℕ ℤ ℝ ℂ ∉ ∅ # {} [] @
• < , >, ≤, ≥, ≠.
• ×, ÷, ±, ∓, 7·8
• ∪, ∩, ⊆, ⊂, ⊊, ⊃, ∈, ∉, ∅
• →, ←, ⇒, ⇐, ↦, ⟹ , ⟺
• HTML Symbols, Entities, Characters, and Codes and HTML Symbols.

# Latex

• LaTeX/Mathematics
• List of LaTeX mathematical symbols
• In order to use math, enclose your formulae with dollar signs “$”. You can also use so-called displaymath blocks by using two dollar signs. • Special symbols and notations, e.g., \lt \gt \le \ge \neq,$\lt \gt \le \ge \neq$• \times \div \pm \mp 7\cdot9:$\times \div \pm \mp 7\cdot9$• \cup \cap \setminus \subset \subseteq \subsetneq \supset \in \notin \emptyset \varnothing:$\cup \cap \setminus \subset \subseteq \subsetneq \supset \in \notin \emptyset \varnothing$• \to \gets \rightarrow \leftarrow \Rightarrow \Leftarrow \mapsto \implies \iff:$\to \gets \rightarrow \leftarrow \Rightarrow \Leftarrow \mapsto \implies \iff $• \forall \exists \approx \infty:$\forall \exists \approx \infty$• {n+1 \choose 2k}:${n+1 \choose 2k}$• Square root: \sqrt{2},$\sqrt{2}$• Square n: \sqrt[n]{2},$\sqrt[n]{2}$• Limit: \lim_{x \to 0} f(x), \lim_{\Delta x \to 0} \frac{f(x_0+\Delta x) -f(x_0)}{\Delta x} ⇨$\lim_{x \to 0} f(x)$,$\lim_{\Delta x \to 0} \frac{f(x_0+\Delta x) -f(x_0)}{\Delta x}$• Fractions: \frac{2}{3},$\frac{2}{3}$• Superscripts and subscripts, e.g., 2^{3}, x_0:$2^{3}, x_0$• \frac{d}{du}e^{u}|_{u=0},$\frac{d}{du}e^{u}|_{u=0}$• Sums and integrals, e.g., \sum_{i=0}^\infty i, \int x^{n}:$\sum_{i=0}^\infty i, \int x^{n}$• Whitespace: \frac{d}{dx} lnx|_ {x=1}=~1,$\frac{d}{dx} lnx|_ {x=1}=~1$• Greek letters: \alpha, \beta, \gamma, \delta, \epsilon, \zeta, \eta, \theta, \lambda, \mu,$\alpha, \beta, \gamma, \delta, \epsilon, \zeta, \eta, \theta, \lambda, \mu$• Symbols, e.g., \Delta x, \epsilon, \pm:$\Delta x, \epsilon, \pm $. • Matrix. GL(2, ℝ) = \bigl\\{ {{[\bigl(\begin{smallmatrix}a & b\\\ c & d\end{smallmatrix}\bigr)]: a, b, c, d ∈ ℝ, ad - bc ≠ 0}} \bigr\}:$GL(2, ℝ) = \bigl\{ {{[\bigl(\begin{smallmatrix}a & b\\ c & d\end{smallmatrix}\bigr)]: a, b, c, d ∈ ℝ, ad - bc ≠ 0}} \bigr\}\$

# Software

• The best Maths software to learn and grow: Speedcrunch, Microsoft Mathematics, Microsoft Math Solver, Maxima, JFractionLab, Gnuplot, GeoGebra, LibreOffice & OpenOffice Calc, Numerical Chameleon, Octave, and R.
• Kids: Gcompris, Omnitux, The KDE Education Project, Tux of Math Command, Kitsune, and TuxMathScrablle.

# Books

• Calculus, 4ed. Michael Spivak.

# Galois Theory

1. NPTEL-NOC IITM, Introduction to Galois Theory.
2. Algebra, Second Edition, by Michael Artin.
3. Galois theory (2ed, London, 1944) by Dr. Emil Artin. Lectures delivered at the University of Notre Dame.
4. Richard E. BORCHERDS, Galois Theory.
5. Notes by Tom Leinster
6. Evan Dummit’s Course Notes Page, Fields and Galois Theory, Fall 2020.

# Complex Analysis

• Visual Complex Functions: an Introduction with Phase Portraits” by Elias Wegert
• Complex Analysis” by Serge Lang
• Videos: Wesleyan University Playlist (Actually unavailable)