Serge Lang Analysis

Number Theory, Analysis and Geometry: In Memory of Serge Lang  eBooks & eLearning

Posted by AvaxGenius at May 4, 2018
Number Theory, Analysis and Geometry: In Memory of Serge Lang

Number Theory, Analysis and Geometry: In Memory of Serge Lang By Dorian Goldfeld
English | PDF,EPUB | 2012 | 715 Pages | ISBN : 1461412595 | 14.72 MB

Serge Lang was an iconic figure in mathematics, both for his own important work and for the indelible impact he left on the field of mathematics, on his students, and on his colleagues. Over the course of his career, Lang traversed a tremendous amount of mathematical ground. As he moved from subject to subject, he found analogies that led to important questions in such areas as number theory, arithmetic geometry, and the theory of negatively curved spaces.

Number Theory, Analysis and Geometry: In Memory of Serge Lang  eBooks & eLearning

Posted by AvaxGenius at April 22, 2018
Number Theory, Analysis and Geometry: In Memory of Serge Lang

Number Theory, Analysis and Geometry: In Memory of Serge Lang By Dorian Goldfeld
English | PDF,EPUB | 2012 | 715 Pages | ISBN : 1461412595 | 14.72 MB

Serge Lang was an iconic figure in mathematics, both for his own important work and for the indelible impact he left on the field of mathematics, on his students, and on his colleagues. Over the course of his career, Lang traversed a tremendous amount of mathematical ground. As he moved from subject to subject, he found analogies that led to important questions in such areas as number theory, arithmetic geometry, and the theory of negatively curved spaces.

Undergraduate Analysis  eBooks & eLearning

Posted by AvaxGenius at Dec. 12, 2021
Undergraduate Analysis

Undergraduate Analysis by Serge Lang
English | PDF | 1997 | 651 Pages | ISBN : 0387948414 | 40.7 MB

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 differentiation and integration. Topics discussed include the classical test for convergence of series, Fourier series, polynomial approximation, the Poisson kernel, the construction of harmonic functions on the disc, ordinary differential equation, curve integrals, derivatives in vector spaces, multiple integrals, and others. In this second edition, the author has added a new chapter on locally integrable vector fields, has rewritten many sections and expanded others. There are new sections on heat kernels in the context of Dirac families and on the completion of normed vector spaces.

Complex Analysis  eBooks & eLearning

Posted by AvaxGenius at Dec. 11, 2023
Complex Analysis

Complex Analysis by Serge Lang
English | PDF | 1999 | 498 Pages | ISBN : 0387985921 | 31.7 MB

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 can be used for a second semester, at either level. Somewhat more material has been included than can be covered at leisure in one or two terms, to give opportunities for the instructor to exercise individual taste, and to lead the course in whatever directions strikes the instructor's fancy at the time as well as extra read­ ing material for students on their own. A large number of routine exer­ cises are included for the more standard portions, and a few harder exercises of striking theoretical interest are also included, but may be omitted in courses addressed to less advanced students. In some sense, I think the classical German prewar texts were the best (Hurwitz-Courant, Knopp, Bieberbach, etc. ) and I would recommend to anyone to look through them. More recent texts have emphasized connections with real analysis, which is important, but at the cost of exhibiting succinctly and clearly what is peculiar about complex analysis: the power series expansion, the uniqueness of analytic continuation, and the calculus of residues.

Complex Analysis  eBooks & eLearning

Posted by AvaxGenius at Dec. 11, 2023
Complex Analysis

Complex Analysis by Serge Lang
English | PDF | 1993 | 468 Pages | ISBN : N/A | 23.2 MB

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 can be used for a second semester, at either level. Somewhat more material has been included than can be covered at leisure in one or two terms, to give opportunities for the instructor to exercise individual taste, and to lead the course in whatever directions strikes the instructor's fancy at the time as well as extra read­ ing material for students on their own. A large number of routine exer­ cises are included for the more standard portions, and a few harder exercises of striking theoretical interest are also included, but may be omitted in courses addressed to less advanced students. In some sense, I think the classical German prewar texts were the best (Hurwitz-Courant, Knopp, Bieberbach, etc. ) and I would recommend to anyone to look through them. More recent texts have emphasized connections with real analysis, which is important, but at the cost of exhibiting succinctly and clearly what is peculiar about complex analysis: the power series expansion, the uniqueness of analytic continuation, and the calculus of residues.

Complex Analysis  eBooks & eLearning

Posted by insetes at June 13, 2021
Complex Analysis

Complex Analysis By Serge Lang
1999 | 505 Pages | ISBN: 0387985921 | DJVU | 3 MB

Problems and Solutions for Undergraduate Analysis [Repost]  eBooks & eLearning

Posted by ChrisRedfield at Aug. 27, 2018
Problems and Solutions for Undergraduate Analysis [Repost]

Rami Shakarchi - Problems and Solutions for Undergraduate Analysis
Published: 1997-12-19 | ISBN: 0387982353 | PDF + DJVU | 368 pages | 25.02 MB

Undergraduate Analysis  eBooks & eLearning

Posted by insetes at July 5, 2019
Undergraduate Analysis

Undergraduate Analysis By Serge Lang
1997 | 665 Pages | ISBN: 0387948414 | PDF | 13 MB

Complex Analysis, Third Edition  eBooks & eLearning

Posted by AvaxGenius at Feb. 21, 2018
Complex Analysis, Third Edition

Complex Analysis, Third Edition By Serge Lang
English | PDF(Repost),EPUB | 1993 | 467 Pages | ISBN : 3540780599 | 31.21 MB

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 can be used for a second semester, at either level.

Complex Analysis (4th edition)  eBooks & eLearning

Posted by ChrisRedfield at July 31, 2018
Complex Analysis (4th edition)

Serge Lang - Complex Analysis (4th edition)
Published: 2010-11-19 | ISBN: 144193135X | PDF | 489 pages | 31.81 MB