Author Serge Lang defines algebraic geometry as the study of systems of algebraic equations in several variables and of the structure that one can give to the solutions of such equations. The study can be carried out in four ways: analytical, topolog...Lasīt vairāk
Based on the work in algebraic geometry by Norwegian mathematician Niels Henrik Abel (1802–29), this monograph was originally published in 1959 and reprinted later in author Serge Langs career without revision. The treatment remains a basic ad...Lasīt vairāk
(Izdošanas datums: 01-Dec-2013, PDF+DRM, Izdevniecība: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, ISBN-13: 9783642582271)
In 1988 Shafarevich asked me to write a volume for the Encyclopaedia of Mathematical Sciences on Diophantine Geometry. I said yes, and here is the volume. By definition, diophantine problems concern the solutions of equations in integers, or rational...Lasīt vairāk
(Izdošanas datums: 29-Jun-2013, PDF+DRM, Izdevniecība: Springer-Verlag New York Inc., ISBN-13: 9781461208532)
The present book gives an exposition of the classical basic algebraic and analytic number theory and supersedes my Algebraic Numbers, including much more material, e. g. the class field theory on which 1 make further comments at the appropriate place...Lasīt vairāk
(Izdošanas datums: 29-Jun-2013, PDF+DRM, Izdevniecība: Springer-Verlag New York Inc., ISBN-13: 9781475719499)
Linear Algebra is intended for a one-term course at the junior or senior level. It begins with an exposition of the basic theory of vector spaces and proceeds to explain the fundamental structure theorems for linear maps, including eigenvectors and e...Lasīt vairāk
(Izdošanas datums: 29-Jun-2013, PDF+DRM, Izdevniecība: Springer New York, ISBN-13: 9781475768985)
This book, together with Linear Algebra, constitutes a curriculum for an algebra program addressed to undergraduates. The separation of the linear algebra from the other basic algebraic structures fits all existing tendencies affecting undergraduate...Lasīt vairāk
(Izdošanas datums: 29-Jun-2013, PDF+DRM, Izdevniecība: Springer New York, ISBN-13: 9781475718713)
The present book is meant as a text for a course on complex analysis at the advanced undergraduate level, or first-year graduate level. Somewhat more material has been included than can be covered at leisure in one term, to give opportunities for the...Lasīt vairāk
(Izdošanas datums: 17-Apr-2013, PDF+DRM, Izdevniecība: Springer-Verlag New York Inc., ISBN-13: 9781475720228)
From the reviews: "e;A prominent research mathematician and a high school teacher have combined their efforts in order to produce a high school geometry course. The result is a challenging, vividly written volume which offers a broader treatment...Lasīt vairāk
(Izdošanas datums: 14-Mar-2013, PDF+DRM, Izdevniecība: Springer New York, ISBN-13: 9781475718010)
The present volume is a text designed for a first course in analysis. Although it is logically self-contained, it presupposes the mathematical maturity acquired by students who will ordinarily have had two years of calculus. When used in this context...Lasīt vairāk
(Izdošanas datums: 14-Mar-2013, PDF+DRM, Izdevniecība: Springer-Verlag New York Inc., ISBN-13: 9781475726985)
This is a logically self-contained introduction to analysis, suitable for students who have had two years of calculus. The book centers around those properties that have to do with uniform convergence and uniform limits in the context of differentiat...Lasīt vairāk
(Izdošanas datums: 14-Mar-2013, PDF+DRM, Izdevniecība: Springer-Verlag New York Inc., ISBN-13: 9781475730838)
The present book is meant as a text for a course on complex analysis at the advanced undergraduate level, or first-year graduate level. The first half, more or less, can be used for a one-semester course addressed to undergraduates. The second half c...Lasīt vairāk
A geometry course based on this book was taught success- fully by Gene Murrow for several years. We are much indebted to Springer-Verlag for publishing Geometry, so that others can try our approach. The publishers and we thought it would be appropria...Lasīt vairāk
(Izdošanas datums: 14-Mar-2013, PDF+DRM, Izdevniecība: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, ISBN-13: 9783642592737)
The present book is meant as a text for a course on complex analysis at the advanced undergraduate level, or first-year graduate level. The first half, more or less, can be used for a one-semester course addressed to undergraduates. The second half c...Lasīt vairāk
(Izdošanas datums: 09-Mar-2013, PDF+DRM, Izdevniecība: Springer-Verlag New York Inc., ISBN-13: 9781475719451)
Since the appearance of Kobayashis book, there have been several re- sults at the basic level of hyperbolic spaces, for instance Brodys theorem, and results of Green, Kiernan, Kobayashi, Noguchi, etc. which make it worthwhile to have a systematic e...Lasīt vairāk
(Izdošanas datums: 06-Dec-2012, PDF+DRM, Izdevniecība: Springer-Verlag New York Inc., ISBN-13: 9781461210313)
Arakelov introduced a component at infinity in arithmetic considerations, thus giving rise to global theorems similar to those of the theory of surfaces, but in an arithmetic context over the ring of integers of a number field. The book gives an intr...Lasīt vairāk
(Izdošanas datums: 06-Dec-2012, PDF+DRM, Izdevniecība: Springer-Verlag New York Inc., ISBN-13: 9781461381457)
The File is a collection of documents from a major disputeinvolving a number of American college professors, mainlymathematicians, statisticians,and sociologists. Thecontroversy was ignited by the mathematician Serge Langsreaction to a quest...Lasīt vairāk
