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Introductory Math In General
Related to Quantum Information Science



In General


[Topological Quantum Codes and Anyons.pdf]
[QUANTUM GEOMETRY AND NEW CONCEPT OF SPACE.pdf]
[Chapter 12 - Time-dependent perturbation Theory.pdf]
[Detecting Majorana Modes Via Non-local Two Particle Interferometry.pdf]
[A Mathematics Primer for Physics Graduate Students.pdf]
[Calculus-Based Physics I.pdf]
[Complex Variables.pdf]
[Differential Equations and Linear Algebra Lecture Notes.pdf]
[Differential Geometry in Physics.pdf]
[Geometry in Physics.pdf]
[Introduction to Methods of Applied Mathematics.pdf]
[Intuitive Notes on Mathematical Physics.pdf]
[Mathematical Tools for Physics.pdf]
[Mathematics for Physics I.pdf]
[Partial Differential Equations of Mathematical Physics.pdf]
[Path Integrals - An Example.pdf]
[Quick Introduction to Tensor Analysis.pdf]
[The Fundamentals of Density Functional Theory.pdf]

Elementary Mathematics by WWL Chen and XT Duong

[Chapter 1 - BASIC ALGEBRA.pdf]
[Chapter 2 - INTRODUCTION TO MATRICES.pdf]
[Chapter 3 - TRIGONOMETRY.pdf]
[Chapter 4 - INDICES AND LOGARITHMS.pdf]
[Chapter 5 - POLYNOMIAL EQUATIONS.pdf]
[Chapter 6 - INEQUALITIES AND ABSOLUTE VALUES.pdf]
[Chapter 7 - PROGRESSIONS.pdf]
[Chapter 8 - ELEMENTARY COUNTING TECHNIQUES.pdf]
[Chapter 9 - COMPLEX NUMBERS.pdf]
[Chapter 10 - FUNCTIONS AND LINES.pdf]
[Chapter 11 - INTRODUCTION TO DIFFERENTIATION.pdf]
[Chapter 12 - FURTHER TECHNIQUES OF DIFFERENTIATION.pdf]
[Chapter 13 - APPLICATIONS OF DIFFERENTIATION.pdf]
[Chapter 14 - INTRODUCTION TO INTEGRATION.pdf]

Elementary Number Theory by WWL Chen

[Chapter 1 - DIVISION AND FACTORIZATION.pdf]
[Chapter 2 - ARITHMETIC FUNCTIONS.pdf]
[Chapter 3 - CONGRUENCES.pdf]
[Chapter 4 - QUADRATIC RESIDUES.pdf]
[Chapter 5 - SUMS OF INTEGER SQUARES.pdf]
[Chapter 6 - ELEMENTARY PRIME NUMBER THEORY.pdf]
[Chapter 7 - GAUSS SUMS AND QUADRATIC RECIPROCITY.pdf]

First Year Calculus by WWL Chen

[Chapter 1 - THE NUMBER SYSTEM.pdf]
[Chapter 2 - FUNCTIONS.pdf]
[Chapter 3 - INTRODUCTION TO DERIVATIVES.pdf]
[Chapter 4 - SOME SPECIAL FUNCTIONS.pdf]
[Chapter 5 - APPLICATIONS OF DERIVATIVES.pdf]
[Chapter 6 - LIMITS OF FUNCTIONS.pdf]
[Chapter 7 - CONTINUITY.pdf]
[Chapter 8 - DIFFERENTIATION.pdf]
[Chapter 9 - THE DEFINITE INTEGRAL.pdf]
[Chapter 10 - TECHNIQUES OF INTEGRATION.pdf]
[Chapter 11 - NUMERICAL INTEGRATION.pdf]
[Chapter 12 - APPLICATIONS OF INTEGRATION.pdf]
[Chapter 13 - IMPROPER INTEGRALS.pdf]
[Chapter 14 - ORDINARY DIFFERENTIAL EQUATIONS.pdf]
[Chapter 15 - FIRST ORDER ORDINARY DIFFERENTIAL EQUATIONS.pdf]
[Chapter 16 - SECOND ORDER LINEAR ORDINARY DIFFERENTIAL EQUATIONS.pdf]
[Chapter 17 - FUNCTIONS OF TWO VARIABLES.pdf]
[Chapter 18 - INTERPOLATION AND APPROXIMATION.pdf]
[Chapter 19 - SEQUENCES.pdf]
[Chapter 20 - SERIES.pdf]
[Chapter 21 - POWER SERIES.pdf]
[Chapter 22 - THE BINOMIAL THEOREM.pdf]

Fundamentals of Analysis by WWL Chen

[Chapter1 - THE NUMBER SYSTEM.pdf]
[Chapter2 - SEQUENCES AND LIMITS.pdf]
[Chapter3 - SERIES.pdf]
[Chapter4 - FUNCTIONS AND CONTINUITY.pdf]
[Chapter5 - DIFFERENTIATION.pdf]
[Chapter6 - THE RIEMANN INTEGRAL.pdf]
[Chapter7 - FURTHER TREATMENT OF LIMITS.pdf]
[Chapter8 - UNIFORM CONVERGENCE.pdf]

Introduction to Complex Analysis by WWL Chen

[Chapter 1 - COMPLEX NUMBERS.pdf]
[Chapter 2 - FOUNDATIONS OF COMPLEX ANALYSIS.pdf]
[Chapter 3 - COMPLEX DIFFERENTIATION.pdf]
[Chapter 4 - COMPLEX INTEGRALS.pdf]
[Chapter 5 - CAUCHY'S INTEGRAL THEOREM.pdf]
[Chapter 6 - CAUCHY'S INTEGRAL FORMULA.pdf]
[Chapter 7 - TAYLOR SERIES, UNIQUENESS AND THE MAXIMUM PRINCIPLE.pdf]
[Chapter 8 - ISOLATED SINGULARITIES AND LAURENT SERIES.pdf]
[Chapter 9 - CAUCHY'S INTEGRAL THEOREM REVISITED.pdf]
[Chapter 10 - RESIDUE THEORY.pdf]
[Chapter 11 - EVALUATION OF DEFINITE INTEGRALS.pdf]
[Chapter 12 - HARMONIC FUNCTIONS AND CONFORMAL MAPPINGS.pdf]
[Chapter 13 - MÖBIUS TRANSFORMATIONS.pdf]
[Chapter 14 - SCHWARZ-CHRISTOFFEL TRANSFORMATIONS.pdf]
[Chapter 15 - LAPLACE'S EQUATION REVISITED.pdf]
[Chapter 16 - UNIFORM CONVERGENCE.pdf]

Linear Functional Analysis by WWL Chen

[Chapter 1 - INTRODUCTION TO METRIC SPACES.pdf]
[Chapter 2 - CONNECTEDNESS, COMPLETENESS AND COMPACTNESS.pdf]
[Chapter 3 - NORMED VECTOR SPACES.pdf]
[Chapter 4 - INNER PRODUCT SPACES.pdf]
[Chapter 5 - ORTHOGONAL EXPANSIONS.pdf]
[Chapter 6 - LINEAR FUNCTIONALS.pdf]
[Chapter 7 - INTRODUCTION TO LINEAR TRANSFORMATIONS.pdf]
[Chapter 8 - LINEAR TRANSFORMATIONS ON HILBERT SPACES.pdf]
[Chapter 9 - SPECTRUM OF A LINEAR OPERATOR.pdf]

Miscellaneous Topics in First Year Mathematics by WWL Chen

[Chapter 1 - REVIEW ON TRIGONOMETRY.pdf]
[Chapter 2 - POLYNOMIALS.pdf]
[Chapter 3 - CONGRUENCES.pdf]
[Chapter 4 - INTRODUCTION TO GROUP THEORY.pdf]

An Introduction to Mathematical Physics Via Oscillations

[Table of Contents.pdf]
[0 - Prologue.pdf]
[1 - Introduction.pdf]
[2 - Free Fall and Harmonic Oscillators.pdf]
[3 - Linear Algebra.pdf]
[4 - The Harmonics of Vibrating Strings.pdf]
[5 - Non-sinusoidal Harmonics and Special Functions.pdf]
[6 - Complex Representations of Functions.pdf]
[7 - Transform Techniques in Physics.pdf]
[8 - Vector Analysis and EM Waves.pdf]
[9 - Oscillations in Higher Dimensions.pdf]
[A - Review of Sequences and Infinite Series.pdf]
[Index.pdf]

Differential Geometry (and Relativity)

[Special Topic - Black Holes.pdf]

Chapter 1

[Chapter 1 - Surfaces and the Concept of Curvature.pdf]
[1 - 1 Curves.pdf]
[1 - 2 Gauss Curvature.pdf]
[1 - 3 Surfaces in E3.pdf]
[1 - 4 The First Fundamental Form.pdf]
[1 - 5 The Second Fundamental Form.pdf]
[1 - 6 The Gauss Curvature in Detail.pdf]
[1 - 7 Geodesics.pdf]
[1 - 8 The Curvature Tensor and the Theorema Egregium.pdf]
[1 - 9 Manifolds.pdf]

Chapter 2

[Chapter 2 - Special Relativity - The Geometry of Flat Spacetime.pdf]
[2 - 1 Inertial Frames of Reference.pdf]
[2 - 2 The Michelson-Morley Experiment.pdf]
[2 - 3 The Postulates of Relativity.pdf]
[2 - 4 Relativity of Simultaneity.pdf]
[2 - 5 Coordinates.pdf]
[2 - 6 Invariance of the Interval.pdf]
[2 - 7 The Lorentz Transformation.pdf]
[2 - 8 Spacetime Diagrams.pdf]
[2 - 9 Lorentz Geometry.pdf]
[2 - 10 The Twin Paradox.pdf]
[2 - 11 Temporal Order and Causality.pdf]

Chapter 3

[Chapter 3 - General Relativity - The Geometry of Curved Spacetime.pdf]
[3 - 1 The Principle of Equivalence.pdf]
[3 - 2 Gravity as Spacetime Curvature.pdf]
[3 - 3 The Consequences of Einstein’s Theory.pdf]
[3 - 6 Geodesics.pdf]
[3 - 7 The Field Equations.pdf]
[3 - 8 The Schwarzschild Solution.pdf]
[3 - 9 Orbits in General Relativity.pdf]
[3 - 10 The Bending of Light.pdf]

Introductory Analysis and Calculus

[Introductory analysis and calculus.pdf]

Problem Sets

[Problem Set 1.pdf]
[Problem Set 2.pdf]
[Problem Set 3.pdf]
[Problem Set 4.pdf]

Lecture notes for Mathematical Methods

[Mathematical Methods.pdf]

Problem Sets

[PROBLEM SET 1.pdf]
[PROBLEM SET 2.pdf]
[PROBLEM SET 3.pdf]
[PROBLEM SET 4.pdf]



Knot Theory


[Knot Theory.pdf]
[Knot Theory.pdf]
[The Combinatorial Revolution in Knot Theory.pdf]
[Topics in combinatorial knot theory.pdf]



Number Theory


[A Computational Introduction to Number Theory and Algebra.pdf]
[Algebra & Number Theory.pdf]
[Algebraic Number Theory.pdf]



Set Theory


In General

[1 Elementary Set Theory.pdf]
[AN INTRODUCTION TO SET THEORY.pdf]
[Axiomatic Set Theory.pdf]
[Basic Set Theory.pdf]
[Foundations of Mathematics I.pdf]
[Introduction to Set Theory.pdf]
[Lecture 1, Basic Concepts of Set Theory.pdf]
[Set Theory (2).pdf]
[Set Theory Basics.pdf]
[Set Theory for Computer Science.pdf]
[SET THEORY FROM CANTOR TO COHEN.pdf]
[SET THEORY.pdf]
[The Axioms of Set Theory.pdf]

Handbook of Set Theory

[Partition Relations.pdf]
[Stationary Sets.pdf]

Abstract Set Theory Book

[Disseminate 1.pdf]
[Disseminate 2.pdf]
[Disseminate 3.pdf]
[Disseminate 4.pdf]
[Disseminate 5.pdf]
[Disseminate 6.pdf]
[Disseminate 7.pdf]
[Disseminate 8.pdf]
[Disseminate 9.pdf]
[Disseminate 10.pdf]
[Disseminate 11.pdf]
[Disseminate 12.pdf]
[Disseminate 19.pdf]
[Disseminate 23.pdf]
[Disseminate 24.pdf]
[Disseminate 25.pdf]
[Disseminate 26.pdf]
[Disseminate 27.pdf]
[Disseminate 28.pdf]
[Disseminate 29.pdf]
[Disseminate 30.pdf]



Genetic Programming


[INTRODUCTION TO GENETIC PROGRAMMING TUTORIAL.pdf]
[Genetic Programming An Introductory Tutorial and a Survey of Techniques and Applications.pdf]



Link Collections Related
to Quantum Information Science


[Quantum Link Collections]
[Math Link Collections]


 

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