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# ðŸ“™ Algebraic Numbers and Algebraic Functions by E. Artin â€” 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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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, origin...

This account of Algebraic Number Theory is written primarily for beginning graduate students in pure mathematics, and encompasses everything that most such students are likely to need; others who need the material will also find it accessible. It assumes ...

From Reviews of the First Edition:This book provides a problem-oriented first course in algebraic number theory. ... The authors have done a fine job in collecting and arranging the problems. Working through them, with or without help from a teacher, will...

This book provides a brisk, thorough treatment of the foundations of algebraic number theory on which it builds to introduce more advanced topics. Throughout, the authors emphasize the systematic development of techniques for the explicit calculation of t...

One of the first of a new generation of books in mathematics that show the reader how to do large or complex computations using the power of computer algebra. It contains descriptions of 148 algorithms, which are fundamental for number theoretic calculati...

This classic book gives a thorough introduction to constructive algebraic number theory, and is therefore especially suited as a textbook for a course on that subject. It also provides a comprehensive look at recent research. For experimental number theor...

This classic book gives a thorough introduction to constructive algebraic number theory, and is therefore especially suited as a textbook for a course on that subject. It also provides a comprehensive look at recent research. For experimental number theor...

This is a second edition of Lang's well-known textbook. It covers all of the basic material of classical algebraic number theory, giving the student the background necessary for the study of further topics in algebraic number theory, such as cyclotomic fi...

Gauss created the theory of binary quadratic forms in "Disquisitiones Arithmeticae" and Kummer invented ideals and the theory of cyclotomic fields in his attempt to prove Fermat's Last Theorem. These were the starting points for the theory of algebraic nu...

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 ...