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# π Algebraic Numbers and Algebraic Functions by E. Artin β epub download

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Famous Norwegian mathematician Niels Henrik Abel advised that one should "learn from the masters, not from the pupils". When the subject is algebraic numbers and algebraic functions, there is no greater master than Emil Artin. In this classic text, originated from the notes of the course given at Princeton University in 1950-1951 and first published in 1967, one has a beautiful introduction to the subject accompanied by Artin's unique insights and perspectives. The exposition starts with the general theory of valuation fields in Part I, proceeds to the local class field theory in Part II, and then to the theory of function fields in one variable (including the Riemann-Roch theorem and its applications) in Part III. Prerequisites for reading the book are a standard first-year graduate course in algebra (including some Galois theory) and elementary notions of point set topology. With many examples, this book can be used by graduate students and all mathematicians learning number theory and related areas of algebraic geometry of curves.

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Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Advanced Algebra includes chapters on modern algebra which treat various topic...

The central theme of this book is an invariant attached to an ideal class of a totally real algebraic number field. This invariant provides us with a unified understanding of periods of abelian varieties with complex multiplication and the Stark-Shintani ...

Presents new research revealing the interplay between classical analysis and modern computation and complexity theory. Two intimately interwoven threads run though the text: the arithmetic-geometric mean (AGM) iteration of Gauss, Lagrange, and Legendre an...

Complex variables is a precise, elegant, and captivating subject. Presented from the point of view of modern work in the field, this new book addresses advanced topics in complex analysis that verge on current areas of research, including: invariant geome...

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This book provides a self-contained exposition of the theory of algebraic curves without requiring any of the prerequisites of modern algebraic geometry. The self-contained treatment makes this important and mathematically central subject accessible to no...

Functional analysis owes its OrIgms to the discovery of certain striking analogies between apparently distinct disciplines of mathematics such as analysis, algebra, and geometry. At the turn of the nineteenth century, a number of observations, made sporad...

CliffsQuickReview course guides cover the essentials of your toughest classes. Get a firm grip on core concepts and key material, and test your newfound knowledge with review questions.Whether you're looking for an in-depth treatment of the entire subject...

This introductory textbook is designed to teach undergraduates the basic ideas and techniques of number theory, with special consideration to the principles of analytic number theory. The first five chapters treat elementary concepts such as divisibility,...

Because of the radiation dose delivered, multidetector row CT (MDCT) may induce cancers, and the risk of death has been estimated at up to one per 1,000 examinations. Despite this, only a small proportion of referring clinicians, radiologists, and technol...

The book is very innovative, offering a detailed, original representation of normal anatomy of the skull and brain with more than 892 figures in black and white and colours. Plan X Ray, high resolution CT and MRI cuts on conventional planes are collected ...

The book is an introductory book to radiological English on the basis that there are a lot of radiologists, radiology residents, radiology nurses, radiology students, and radiographers worldwide whose English level is indeterminate because their reading s...

Established worldwide as the "gold-standard" reference on pediatric fractures, Rockwood and Wilkins' Fractures in Children is now in its thoroughly revised, updated Sixth Edition. The world's foremost authorities provide comprehensive coverage of all bone...

A state-of-the-art review of the molecular underpinnings of bone-seeking cancers, current treatment approaches for them, and future therapeutic strategies. The authors illuminate the role of various autocrine, paracrine, and immunological factors involved...

Leading expert physicians and investigators from around the world review the state-of-the-art in the management of squamous cell head and neck cancer, with emphasis on coordinating different treatment modalities. The authors address several surgical issue...

For Palm, Pocket PC, Windows and Macintosh, this handbook contains essential current surgical protocols and management strategies, and it includes reviews of current surgical techniques. It is an excellent handbook for students, residents, and practicing ...