This is a list of mathematical theories. Almgren–Pitts min-max theory; Approximation theory; Arakelov theory; Asymptotic theory; Automata theory; Bass–Serre theory; Bifurcation theory; Braid theory; Brill–Noether theory; Catastrophe theory; Category theory; Chaos …

2007年9月25日 · In the first decades of the twentieth century, three non-platonistic accounts of mathematics were developed: logicism, formalism, and intuitionism. There emerged in the beginning of the twentieth century also a fourth program: predicativism.

2023年2月25日 · A list of mathematical theories covering a wide range of fields, from algebraic K-theory to topology, including game theory, number theory, and chaos theory.

Mathematics is a field of study that discovers and organizes methods, theories and theorems that are developed and proved for the needs of empirical sciences and mathematics itself.

5 天之前 · Created, developed & nurtured by Eric Weisstein with contributions from the world's mathematical community. Comprehensive encyclopedia of mathematics with 13,000 detailed entries. Continually updated, extensively illustrated, and with interactive examples.

Theoretical mathematics is the study of abstract mathematical structures which form the basic framework for the rest of the mathematical sciences. In large part, theoretical mathematics is inspired by intellectual curiosity.

Foundations of mathematics are the logical and mathematical framework that allows the development of mathematics without generating self-contradictory theories, and, in particular, to have reliable concepts of theorems, proofs, algorithms, etc.This may also include the philosophical study of the relation of this framework with reality. [1]The term "foundations of …

In this section I want to give a nontechnical overview of the subject I am calling type theory. I will discuss these points: It is a foundational theory in the sense of providing definitions of the basic notions in logic, mathematics, and computer science in terms of a few primitive concepts.

Mathematical logic investigates the power of mathematical reasoning itself. The various subfields of this area are connected through their study of foundational notions: sets, proof, computation, and models.

Contemporary number theory is developing rapidly through its interactions with many other areas of mathematics. Insights from ergodic theory have led to dramatic progress in old questions concerning the distribution of primes, geometric representation theory and deformation theory have led to new techniques for constructing Galois ...