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Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry
The description for this book, Ramification Theoretic Methods in
Algebraic Geometry (AM-43), will be forthcoming.
2014 Reprint of 1959 Edition. Full facsimile of the original
edition, not reproduced with Optical Recognition Software. In
mathematics, particularly in algebraic geometry, complex analysis
and number theory, an abelian variety is a projective algebraic
variety that is also an algebraic group, i.e., has a group law that
can be defined by regular functions. Abelian varieties are at the
same time among the most studied objects in algebraic geometry and
indispensable tools for much research on other topics in algebraic
geometry and number theory. Serge Lang was a French-born American
mathematician. He is known for his work in number theory and for
his mathematics textbooks, including the influential Algebra. He
was a member of the Bourbaki group.
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Henry F.De Francesco
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R477
R395
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Geometric group theory refers to the study of discrete groups using
tools from topology, geometry, dynamics and analysis. The field is
evolving very rapidly and the present volume provides an
introduction to and overview of various topics which have played
critical roles in this evolution. The book contains lecture notes
from courses given at the Park City Math Institute on Geometric
Group Theory. The institute consists of a set of intensive short
courses offered by leaders in the field, designed to introduce
students to exciting, current research in mathematics. These
lectures do not duplicate standard courses available elsewhere. The
courses begin at an introductory level suitable for graduate
students and lead up to currently active topics of research. The
articles in this volume include introductions to CAT(0) cube
complexes and groups, to modern small cancellation theory, to
isometry groups of general CAT(0) spaces, and a discussion of
nilpotent genus in the context of mapping class groups and CAT(0)
groups. One course surveys quasi-isometric rigidity, others contain
an exploration of the geometry of Outer space, of actions of
arithmetic groups, lectures on lattices and locally symmetric
spaces, on marked length spectra and on expander graphs, Property
tau and approximate groups. This book is a valuable resource for
graduate students and researchers interested in geometric group
theory.
2014 Reprint of 1958 Edition. Full facsimile of the original
edition, not reproduced with Optical Recognition Software. This
book, an introduction to the Weil-Zariski algebraic geometry, is an
amplification of lectures for one of a series of courses, given by
various people, going back to Zariski. Restricted to qualitative
algebraic geometry, it is an admirable introduction to Weil's
"Foundations" and, more generally, the whole of the modern
literature as it existed before the advent of sheaves.
I first must share with you that I am bipolar. My mother said that
I have been bipolar all my life. I was not diagnosed with bipolar
until I was 33 years old. My family just thought I was eccentric
and I thought I was having visions from GOD. My Faith was wrapped
up with my visions and hence I believed that the mania was somehow
messages from GOD. I have both auditory and visual illusions and I
still believe that these illusions are visions from GOD. The
delusions came from trying to interpret those visions. After I was
diagnosed with bipolar I no longer try to make sense of these
visions. Instead of seeing myself cursed with a mental disorder I
saw myself blessed with insights that help me think about my world
environment around me. My Faith is still wrapped up with my
visions. My mania, which I call my visions, are like Lewis
Carroll's "Alice's Adventures in Wonderland." But when I am in
clinical depression it is like a hammer of reality that feels like
I am being held down by a whale. I welcome you to my world of
visions. However, just remember that these visions are only mania.
I cannot produce miracles. I have no powers beyond any normal human
beings. Nevertheless, these visions are wrapped up with my Faith in
GOD. I see them as a gift from GOD and not as a curse. I take my
medicine which minimizes the visions so that I can function
normally. The visions I had before 21 were all spiritual visions.
However, at 21 years old I have learned a great deal of science.
The visions took three different path; sometime spirituals,
sometimes science, and sometimes both.
2012 Reprint of 1942 Edition. Exact facsimile of the original
edition, not reproduced with Optical Recognition Software. As a
newly minted Ph.D., Paul Halmos came to the Institute for Advanced
Study in 1938--even though he did not have a fellowship--to study
among the many giants of mathematics who had recently joined the
faculty. He eventually became John von Neumann's research
assistant, and it was one of von Neumann's inspiring lectures that
spurred Halmos to write "Finite Dimensional Vector Spaces." The
book brought him instant fame as an expositor of mathematics.
Finite Dimensional Vector Spaces combines algebra and geometry to
discuss the three-dimensional area where vectors can be plotted.
The book broke ground as the first formal introduction to linear
algebra, a branch of modern mathematics that studies vectors and
vector spaces. The book continues to exert its influence sixty
years after publication, as linear algebra is now widely used, not
only in mathematics but also in the natural and social sciences,
for studying such subjects as weather problems, traffic flow,
electronic circuits, and population genetics. In 1983 Halmos
received the coveted Steele Prize for exposition from the American
Mathematical Society for "his many graduate texts in mathematics
dealing with finite dimensional vector spaces, measure theory,
ergodic theory, and Hilbert space."
This scarce antiquarian book is included in our special Legacy
Reprint Series. In the interest of creating a more extensive
selection of rare historical book reprints, we have chosen to
reproduce this title even though it may possibly have occasional
imperfections such as missing and blurred pages, missing text, poor
pictures, markings, dark backgrounds and other reproduction issues
beyond our control. Because this work is culturally important, we
have made it available as a part of our commitment to protecting,
preserving and promoting the world's literature.
This scarce antiquarian book is a selection from Kessinger
Publishing's Legacy Reprint Series. Due to its age, it may contain
imperfections such as marks, notations, marginalia and flawed
pages. Because we believe this work is culturally important, we
have made it available as part of our commitment to protecting,
preserving, and promoting the world's literature. Kessinger
Publishing is the place to find hundreds of thousands of rare and
hard-to-find books with something of interest for everyone
This scarce antiquarian book is included in our special Legacy
Reprint Series. In the interest of creating a more extensive
selection of rare historical book reprints, we have chosen to
reproduce this title even though it may possibly have occasional
imperfections such as missing and blurred pages, missing text, poor
pictures, markings, dark backgrounds and other reproduction issues
beyond our control. Because this work is culturally important, we
have made it available as a part of our commitment to protecting,
preserving and promoting the world's literature.
This book is a facsimile reprint and may contain imperfections such
as marks, notations, marginalia and flawed pages.
Reprint. Paperback. 387 pp. Diophantus of Alexandria, sometimes
called "the father of algebra," was an Alexandrian mathematician
and the author of a series of books called Arithmetica. These texts
deal with solving algebraic equations, many of which are now lost.
In studying Arithmetica, Pierre de Fermat concluded that a certain
equation considered by Diophantus had no solutions, and noted
without elaboration that he had found "a truly marvelous proof of
this proposition," now referred to as Fermat's Last Theorem. This
led to tremendous advances in number theory, and the study of
diophantine equations ("diophantine geometry") and of diophantine
approximations remain important areas of mathematical research.
Diophantus was the first Greek mathematician who recognized
fractions as numbers; thus he allowed positive rational numbers for
the coefficients and solutions. In modern use, diophantine
equations are usually algebraic equations with integer
coefficients, for which integer solutions are sought. Diophantus
also made advances in mathematical notation. Heath's work is one of
the standard books in the field.
This scarce antiquarian book is included in our special Legacy
Reprint Series. In the interest of creating a more extensive
selection of rare historical book reprints, we have chosen to
reproduce this title even though it may possibly have occasional
imperfections such as missing and blurred pages, missing text, poor
pictures, markings, dark backgrounds and other reproduction issues
beyond our control. Because this work is culturally important, we
have made it available as a part of our commitment to protecting,
preserving and promoting the world's literature.
This scarce antiquarian book is included in our special Legacy
Reprint Series. In the interest of creating a more extensive
selection of rare historical book reprints, we have chosen to
reproduce this title even though it may possibly have occasional
imperfections such as missing and blurred pages, missing text, poor
pictures, markings, dark backgrounds and other reproduction issues
beyond our control. Because this work is culturally important, we
have made it available as a part of our commitment to protecting,
preserving and promoting the world's literature.
An Unabridged Printing With Text And All Figures Digitally Enlarged
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