Lectures on the h-Cobordism Theorem, by John Milnor. Notes by L. Siebenmann and J. Sondow. Princeton Mathematical Notes. These are notes for Lectures of John Milnor that were given as a seminar on differential topology in October and November, 1963 Princeton University.

Lectures on the h-Cobordism Theorem (Princeton Legacy Library)

Science & Math

Milnor, John

Mathematics

Princeton University Press

One of the most cited books in mathematics, John Milnor's exposition of Morse theory has been the most important book on the subject for more than forty years. Morse theory was developed in the 1920s by mathematician Marston Morse. (Morse was on the faculty of the Institute for Advanced Study, and Princeton published his Topological Methods in the Theory of Functions of a Complex Variable in the Annals of Mathematics Studies series in 1947.) One classical application of Morse theory includes the attempt to understand, with only limited information, the large-scale structure of an object. This kind of problem occurs in mathematical physics, dynamic systems, and mechanical engineering. Morse theory has received much attention in the last two decades as a result of a famous paper in which theoretical physicist Edward Witten relates Morse theory to quantum field theory.
 Milnor was awarded the Fields Medal (the mathematical equivalent of a Nobel Prize) in 1962 for his work in differential topology. He has since received the National Medal of Science (1967) and the Steele Prize from the American Mathematical Society twice (1982 and 2004) in recognition of his explanations of mathematical concepts across a wide range of scienti.c disciplines. The citation reads, "The phrase sublime elegance is rarely associated with mathematical exposition, but it applies to all of Milnor's writings. Reading his books, one is struck with the ease with which the subject is unfolding and it only becomes apparent after re.ection that this ease is the mark of a master.?
 Milnor has published five books with Princeton University Press.

Morse Theory (Annals of Mathematic Studies AM-51)

Algebraic K-theory describes a branch of algebra that centers about two functors. K0 and K1, which assign to each associative ring ∧ an abelian group K0∧ or K1∧ respectively. Professor Milnor sets out, in the present work, to define and study an analogous functor K2, also from associative rings to abelian groups. Just as functors K0 and K1 are important to geometric topologists, K2 is now considered to have similar topological applications. The exposition includes, besides K-theory, a considerable amount of related arithmetic.

Introduction to Algebraic K-Theory (Annals of Mathematics Studies)

The theory of characteristic classes provides a meeting ground for the various disciplines of differential topology, differential and algebraic geometry, cohomology, and fiber bundle theory. As such, it is a fundamental and an essential tool in the study of differentiable manifolds.
 In this volume, the authors provide a thorough introduction to characteristic classes, with detailed studies of Stiefel-Whitney classes, Chern classes, Pontrjagin classes, and the Euler class. Three appendices cover the basics of cohomology theory and the differential forms approach to characteristic classes, and provide an account of Bernoulli numbers.
 Based on lecture notes of John Milnor, which first appeared at Princeton University in 1957 and have been widely studied by graduate students of topology ever since, this published version has been completely revised and corrected.

Characteristic Classes. (AM-76)

Stasheff, James D.

Dynamics in One Complex Variable: Third Edition (Annals of Mathematics Studies)

This volume studies the dynamics of iterated holomorphic mappings from a Riemann surface to itself, concentrating on the classical case of rational maps of the Riemann sphere. This subject is large and rapidly growing. These lectures are intended to introduce some key ideas in the field, and to form a basis for further study. The reader is assumed to be familiar with the rudiments of complex variable theory and of two-dimensional differential geometry, as well as some basic topics from topology. This third edition contains a number of minor additions and improvements: A historical survey has been added, the definition of Lattés map has been made more inclusive, and the écalle-Voronin theory of parabolic points is described. The résidu itératif is studied, and the material on two complex variables has been expanded. Recent results on effective computability have been added, and the references have been expanded and updated.
 Written in his usual brilliant style, the author makes difficult mathematics look easy. This book is a very accessible source for much of what has been accomplished in the field.

Dynamics in One Complex Variable: (AM-160) - Third Edition (Annals of Mathematics Studies)

These lectures provide students and specialists with preliminary and valuable information from university courses and seminars in mathematics. This set gives new proof of the h-cobordism theorem that is different from the original proof presented by S. Smale.
Originally published in 1965.
The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

These lectures provide students and specialists with preliminary and valuable information from university courses and seminars in mathematics. This set gives new proof of the h-cobordism theorem that is different from the original proof presented by S. Smale.Originally published in 1965.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

This volume contains papers of one of the best modern geometers and topologists, John Milnor, on various topics related to the notion of the fundamental group. It is excellent reading for any mathematician with an interest in geometry and topology and for any person with an interest in mathematics. The volume contains sixteen papers and is partitioned into four parts: Knot theory, Free action on spheres, Torsion, and Three-dimensional manifolds. Each part is preceded by an introduction containing the author's comments on further development of the subject. Although some of the papers were written quite a while ago, they appear more modern than many of today's publications. Milnor's excellent, clear, and laconic style makes the book a real treat. This volume is highly recommended to a broad mathematical audience, and, in particular, to young mathematicians who will certainly benefit from their acquaintance with Milnor's mode of thinking and writing.

John Milnor Collected Papers: Volume 2: The Fundamental Group

American Mathemataical Society

These notes will study the dynamics of iterated holomorphic mappings from a Riemann surface to itself concentrating on the classical case of rational maps of the Riemann sphere They are based on introductory lectures given at Stony Brook during the Fall Term of 1989 90 and also in later years I am grateful to the audiences for a great deal of constructive criticism and to Branner Douady Hubbard and Shishikura who taught me most of what I know in this field Also I want to thank A Poirier S Zakeri and R Perez for their extremely helpful criticisms of various drafts There have been a number of extremely useful surveys of holomorphic dynamics over the years those of Brolin Douady Blanchard Lyubich Devaney Keen and Eremenko Lyubich as well as the textbooks by Bear don Steinmetz and Carleson Gamelin are particularly recommended to the reader Compare the list of references at the end and see Alexander for historical information This subject is large and rapidly growing These lectures are intended to introduce the reader to some key ideas in the field and to form a basis for further study The reader is assumed to be familiar with the rudiments of complex variable theory and of two dimensional differential geometry as well as some basic topics from topology The necessary material can be found for example in Ahlfors 1966 Hocking and Young Munkres and vVillmore This text studies the dynamics of iterated holomorphic mappings from a Riemann surface to itself concentrating on the classical case of rational maps of the Riemann sphere The subject is large and rapidly growing These notes are intended to introduce the reader to some key ideas in the field and to form a basis for further study The reader is assumed to be familiar with the rudiments of complex variable theory and of two dimensional differential geometry as well as some basic topics from topology This volume studies the dynamics of iterated holomorphic mappings from a

Dynamics in One Complex Variable: Introductory Lectures

Friedrick Vieweg & Son

See the best price to sell, buy, or rent books by Milnor, John. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Milnor, John

See the best price to sell, buy, or rent books by Milnor, John. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Lectures on the h-Cobordism Theorem (Princeton Legacy Library)

Morse Theory (Annals of Mathematic Studies AM-51)

Introduction to Algebraic K-Theory (Annals of Mathematics Studies)

Characteristic Classes. (AM-76)

Dynamics in One Complex Variable: (AM-160) - Third Edition (Annals of Mathematics Studies)

Dynamics in One Complex Variable: Third Edition (Annals of Mathematics Studies)

Lectures on the h-Cobordism Theorem (Princeton Legacy Library)

Lectures on the h-Cobordism Theorem (Princeton Legacy Library)

John Milnor Collected Papers: Volume 2: The Fundamental Group

Dynamics in One Complex Variable: Introductory Lectures