دانلود کتاب No bullshit guide to math & physics

فهرست مطالب :

Introduction --
Math fundamentals: Solving equations
Numbers
Variables
Functions and their inverses
Fractions
Basic rules of algebra
Solving quadratic equations
Exponents
Logarithms
The number line
Inequalities
The Cartesian plane
Functions
Function reference
Polynomials
Trigonometry
Trigonometric identities
Geometry
Circle
Ellipse
Hyperbola
Solving systems of linear equations
Compound interest
Set notation
Math problems --
Introduction to physics: Introduction
Kinematics
Introduction to calculus
Kinematics with calculus
Kinematics problems --
Vectors: Great outdoors
Vectors
Basis
Vector products
Complex numbers
Vectors problems --
Mechanics: Introduction
Projectile motion
Forces
Force diagrams
Momentum
Energy
Uniform circular motion
Angular motion
Simple harmonic motion
Conclusion
Mechanics problems --
Calculus: Introduction
Overview
Infinity
LImits
Limit formulas
Derivatives
Derivate formulas
Derivative rules
Higher derivatives
Optimization algorithm
Implicit differentiation
Integrals
Riemann sums
The fundamental theorem of calculus
Techniques of integration
Applications of integration
Improper integrals
Sequences
Series
Conclusion
Calculus problems --
End matter : Conclusion --
A. Answers and solutions --
B. Notation: Math notation
Set notation
Complex numbers notation
Vectors notation
Mechanics notation
Calculus notation --
C. Constants, units and conversion ratios: Fundamental constants of nature
Units
Derived units
Other units and conversions --
D. SymPy tutorial --
E. Formulas : Calculus formulas
Mechanics formulas.