Rings, Fields, and Vector Spaces

Rings, Fields, and Vector Spaces: An Introduction to Abstract Algebra via Geometric Constructibility (Undergraduate Texts in Mathematics) by B.A. Sethuraman (Author)

Using the proof of the non-trisectability of an arbitrary angle as a final goal, the author develops in an easy conversational style the basics of rings, fields, and vector spaces.

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The Most Beautiful Mathematical Formulas

A lighthearted tour through 49 of the most interesting and useful mathematical formulas ever derived This whimsical book reacquaints the reader with the pleasure of playing with numbers. Both entertaining and practical, it reaches a level of sophistication consistently high enough to make intelligent people think, but never aims so high that it is difficult to follow.

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Complex Analysis I: Entire and Meromorphic Functions Polyanalytic Functions and Their Generalizations

Complex Analysis I: Entire and Meromorphic Functions Polyanalytic Functions and Their Generalizations (Encyclopaedia of Mathematical Sciences) by A.A. Gonchar (Editor), Viktor P. Havin (Editor), N.K. Nikolski (Editor), V.I. Rublinetskij (Translator), V. Tkachenko (Translator), M.B. Balk (Contributor), A.A. Gol'dberg (Contributor), B.Ya. Levin (Contributor), I.V. Ostrovskii (Contributor)

The first part of the volume contains a comprehensive description of the theory of entire and meromorphic functions of one complex variable and its applications.

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Harmonic Maps, Loop Groups, and Integrable Systems

Harmonic Maps, Loop Groups, and Integrable Systems (London Mathematical Society Student Texts) by Martin A. Guest (Author)

This is an accessible introduction to some of the fundamental connections among differential geometry, Lie groups, and integrable Hamiltonian systems. The text demonstrates how the theory of loop groups can be used to study harmonic maps.

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Compact Connected Lie Transformation Groups on Spheres With Low Cohomogeneity - II

Compact Connected Lie Transformation Groups on Spheres With Low Cohomogeneity - II (Memoirs of the American Mathematical Society) (v. 2) by Eldar Straume (Author)

In this book, the author carries out a systematic investigation and construction of all possible differentiable (homotopy) G-spheres with 2-dimensional orbit space, where G is any compact connected Lie group.

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