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Galois Theory is the theory of polynomial equations and their solutions. Suitable for course-following undergraduates and the independent reader, this textbook gives a full account of Galois Theory and the necessary background algebra. This second edition has been revised and re-ordered, with new exercises and examples throughout.

Galois Theory is the theory of polynomial equations and their solutions. Suitable for course-following undergraduates and the independent reader, this textbook gives a full account of Galois Theory and the necessary background algebra. This second edition has been revised and re-ordered, with new exercises and examples throughout.

This is the third of three volumes that provide a full and detailed account of all those elements of real and complex analysis an undergraduate mathematics student can expect to encounter in the first two or three years of study. Numerous exercises, examples and applications are included.

The third volume of three providing a full and detailed account of undergraduate mathematical analysis.

The first volume of three providing a full and detailed account of undergraduate mathematical analysis.

This is the first of three volumes that provide a full and detailed account of all those elements of real and complex analysis the undergraduate mathematics student can expect to encounter in their first two or three years of study. Numerous exercises, examples and applications are included.

This is the second of three volumes that provide a full and detailed account of all those elements of real and complex analysis the undergraduate mathematics student can expect to encounter in their first two or three years of study. Numerous exercises, examples and applications are included.

The second volume of three providing a full and detailed account of undergraduate mathematical analysis.

Detailed account of analysis on Polish spaces with a straightforward introduction to optimal transportation.

Detailed account of analysis on Polish spaces with a straightforward introduction to optimal transportation.

Galois theory is one of the most beautiful branches of mathematics. By synthesising the techniques of group theory and field theory it provides a complete answer to the problem of the solubility of polynomials by radicals: that is, the problem of determining when and how a polynomial equation can be solved by repeatedly extracting roots and using elementary algebraic operations. This textbook, based on lectures given over a period of years at ...

A straightforward introduction to Clifford algebras, providing the necessary background material and many applications in mathematics and physics.

Three volumes that provide a full and detailed account of all those elements of real and complex analysis an undergraduate mathematics student can expect to encounter in the first two or three years of study. Numerous exercises, examples and applications are included.

This straightforward introduction gives a self-contained account of Clifford algebras suitable for research students, final year undergraduates and working mathematicians and physicists. It includes the necessary background material about multilinear algebra, real quadratic spaces and finite-dimensional real algebras and many applications in mathematics and physics.

Contains a wealth of inequalities used in linear analysis, and explains in detail how they are used. The book begins with Cauchy's inequality and ends with Grothendieck's inequality, in between one finds the Loomis-Whitney inequality, maximal inequalities, inequalities of Hardy and of Hilbert, hypercontractive and logarithmic Sobolev inequalities, Beckner's inequality, and many, many more. The inequalities are used to obtain properties of func...

Contains a wealth of inequalities used in linear analysis, and explains in detail how they are used. The book begins with Cauchy's inequality and ends with Grothendieck's inequality, in between one finds the Loomis-Whitney inequality, maximal inequalities, inequalities of Hardy and of Hilbert, hypercontractive and logarithmic Sobolev inequalities, Beckner's inequality, and many, many more. The inequalities are used to obtain properties of func...