Mathematics is the academic discipline used throughout the world as an essential tool in many fields, including natural science, engineering, medicine etc.

Online available information resources on mathematics for scientists.

## Content, Topics

## Current Articles

**HyperMaths**

... is a growing collection of examples of applied mathematics with links to their applications to problems in physics and astronomy - [e]

**Math Forum**

... is the leading online resource for improving math learning, teaching, and communication since 1992 - [e]

**World of Math Online**

All about mathematics - [e]

## Lecture Notes, Tutorials

**Mathematics for Chemists**

Lecture notes - [e]

**Mathematics for Chemists**

Lecture notes - [e]

**Mathematics for Chemists**

eBook - [e]

## Journals

**Journal of Mathematical Chemistry**

JOMC publishes original, chemically important mathematical results which use non-routine mathematical methodologies often unfamiliar to the usual audience of mainstream experimental and theoretical chemistry journals. Springer - [e]

## Formularies

**Mathematical tables and formulas**

Tutorial. SOS Math - [e]

**Mathematics reference**

A mathematics reference for students and teachers - [e]

## Error Analysis

**Chemical Analysis**

Errors in chemical analysis - [e]

**Error Analysis**

... in Experimental Physical Science - [e]

**Error Analysis**

A list of techniques that are used to determine how error propagates through an experimental procedure - [e]

**Errors in Chemical Analyses**

Lecture notes - Format: PDF - [e]

**Experimental Errors**

Error analysis - [e]

**Experimental Errors**

... and Error Analysis - [e]

**Experimental Errors
Analysis
Experimental Errors**

... and Error Analysis - Format: PDF - [e]

**Experimental Physical Science**

Error Analysis in Experimental Physical Science - Format: PDF - [e]

**Random Errors in Chemical Analysis**

Lecture notes - Format: PDF - [e]

## Algebra

**Algebra**

Practical Algebra Lessons. Purplemath - [e]

**Algebra**

Practise algebra: free math lessons. Math.com - [e]

**Algebra**

Lecture notes. HyperMath - [e]

**Algebraic Groups**

Algebraic Groups, Lie Groups, and their Arithmetic Subgroups - [e]

**Algebraic Number Theory**

A fairly standard graduate course on algebraic number theory - [e]

**Multivariable Calculus**

Lecture notes - [e]

## Geometry

**Algebraic Geometry**

An introductory course. In contrast to most such accounts it studies abstract algebraic varieties, and not just subvarieties of affine and projective space. This approach leads more naturally into scheme theory - [e]

**Algebraic Geometry**

Lecture notes, 215 pages - Format: PDF - [e]

**Computational Geometry**

Lecture notes - Format: PDF - [e]

**Differential Geometry**

Lecture Notes on Differential Geometry - [e]

**Geometry Mathematics**

Equations, Formula - Engineers Edge: Practical Mechanical Design and Engineering Database and Resources - [e]

**Modular Functions and Modular Forms**

An introduction to the arithmetic theory of modular functions and modular forms, with a greater emphasis on the geometry than most accounts - [e]

## Differential Calculus

**Differential Calculus**

Introduction to Differential Calculus - Format: PDF - [e]

**Differential Calculus**

Lecture notes - [e]

**Differential Equations**

Tutorial. SOS Math - [e]

**Differntial Equations**

Lecture notes. HyperMath - [e]

**Formulas**

Elementary Differential and Integral Calculus - Format: PDF - [e]

**Partial Differentiation**

Lecture notes; Functions of Two Variables - [e]

## Integral Calculus

**Integral Calculus**

Lecture notes - [e]

**Multiple Integrals**

Lecture notes - [e]

## Vector Space

**Spin Chemistry**

... and the Vector Model - Format: PDF - [e]

**Surfaces and Transformations**

Lecture notes - [e]

**Vector Calculus**

Lecture notes. HyperMath - [e]

**Vector Calculus**

Mathematical Tripos: IA Vector Calculus - [e]

**Vector identities and relationships**

Some standard vector identities and relationships among coordinate systems in three dimensions. MathPhysics - [e]

**Vectors**

Lecture notes - [e]

## Matrix, Matrices

**Balancing Equations Using Matrices**

Balancing Equations Using Matrices - [e]

**Matrices**

Matrix Algebra. Tutorial. SOS Math - [e]

## Group Theory

**Group Theory**

... for Maths, Physics and Chemistry students - Format: PDF - [e]

**Group Theory**

Lecture notes - [e]

**Molecular Spectroscopy**

... and Group Theory. Rice University - Format: PDF - [e]

**Point Group Symmetry**

Details of various point-group symmetries, their inter-relations and specific information regarding dipole-transition selection rules - [e]

## Complex Numbers

**Complex Multiplication**

Preliminary notes for a modern account of the theory of complex multiplication - [e]

**Complex Numbers**

Tutorial. SOS Math - [e]

## Other Mathematical Methods

**Abelian Varieties**

An introduction to both the geometry and the arithmetic of abelian varieties. It includes a discussion of the theorems of Honda and Tate concerning abelian varieties over finite fields and the paper of Faltings in which he proves Mordell's Conjecture - [e]

**Class Field Theory**

A course on Class Field Theory - [e]

**Etale Cohomology**

Notes for a course taught at the University of Michigan in 1989 and 1998 - [e]

**Fields and Galois Theory**

concise treatment of Galois theory and the theory of fields, including transcendence degrees and infinite Galois extensions - [e]

**Fundamental Theorems**

Variations on the Fundamental Theorem - [e]

**Inverse Square Law**

Lecture notes - [e]

**Last update: **14.11.2022

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