About the Book
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 85. Chapters: Field, P-adic number, Fundamental theorem of algebra, Hyperreal number, Galois theory, Finite field, Algebraically closed field, Galois group, Field of fractions, Local field, Number system, Algebraic number field, Eisenstein's criterion, Rational number, Cubic field, Archimedean property, Valuation, Real closed field, Fundamental theorem of Galois theory, Dirichlet's unit theorem, Tensor product of fields, Glossary of field theory, Rational variety, Iwasawa theory, Primitive element theorem, Liouville's theorem, P-adically closed field, Exponential field, Characteristic, Transcendence degree, Construction of splitting fields, Quadratic field, Primitive polynomial, Kummer theory, Polynomial basis, Perfect field, List of number fields with class number one, Thin set, Separable polynomial, Differential Galois theory, Stark conjectures, Additive polynomial, Brumer-Stark conjecture, Grothendieck's Galois theory, Quasi-finite field, Global field, Generic polynomial, Quasi-algebraically closed field, Pythagorean field, Serre's conjecture II, Ramification theory of valuations, Multiplicative group, Field norm, Embedding problem, Conjugate element, Levi-Civita field, Pseudo algebraically closed field, Tschirnhaus transformation, Formally real field, CM-field, Superreal number, Field trace, Normal basis, Minimal polynomial, Adjunction, Change of bases, Krasner's lemma, Totally real number field, Abel's irreducibility theorem, Ground field, All one polynomial, Euclidean field, Strassmann's theorem, Equivariant L-function, Norm form, Function field sieve, Regular extension, Isomorphism extension theorem, Composite field, Equally spaced polynomial, Complete field, Primary extension.
