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Notes Of Lectures On The Theor
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Book Synopsis Morse Theory. (AM-51), Volume 51 by : John Milnor
Download or read book Morse Theory. (AM-51), Volume 51 written by John Milnor and published by Princeton University Press. This book was released on 2016-03-02 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Lectures on Invariant Theory by : Igor Dolgachev
Download or read book Lectures on Invariant Theory written by Igor Dolgachev and published by Cambridge University Press. This book was released on 2003-08-07 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: The primary goal of this 2003 book is to give a brief introduction to the main ideas of algebraic and geometric invariant theory. It assumes only a minimal background in algebraic geometry, algebra and representation theory. Topics covered include the symbolic method for computation of invariants on the space of homogeneous forms, the problem of finite-generatedness of the algebra of invariants, the theory of covariants and constructions of categorical and geometric quotients. Throughout, the emphasis is on concrete examples which originate in classical algebraic geometry. Based on lectures given at University of Michigan, Harvard University and Seoul National University, the book is written in an accessible style and contains many examples and exercises. A novel feature of the book is a discussion of possible linearizations of actions and the variation of quotients under the change of linearization. Also includes the construction of toric varieties as torus quotients of affine spaces.
Book Synopsis Lectures on Morse Homology by : Augustin Banyaga
Download or read book Lectures on Morse Homology written by Augustin Banyaga and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a detailed presentation of results needed to prove the Morse Homology Theorem using classical techniques from algebraic topology and homotopy theory. The text presents results that were formerly scattered in the mathematical literature, in a single reference with complete and detailed proofs. The core material includes CW-complexes, Morse theory, hyperbolic dynamical systems (the Lamba-Lemma, the Stable/Unstable Manifold Theorem), transversality theory, the Morse-Smale-Witten boundary operator, and Conley index theory.
Book Synopsis Lecture Notes on Chern-Simons-Witten Theory by : Sen Hu
Download or read book Lecture Notes on Chern-Simons-Witten Theory written by Sen Hu and published by World Scientific. This book was released on 2001 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is based on lectures on topological quantum field theory given in 1989 at Princeton University by E. Witten, in which he unified several important mathematical works in terms of the Donaldson polynomial, Gromov/Floer homology, and Jones polynomials. Witten explained his three-dimensional construction of Jones polynomials, "an elegant construction of a new polynomial invariant in three-dimensional space" (per the author), via quantization of Chern-Simons gauge theory. Hu (Princeton U.) adds missing details and some new developments in the field. Annotation copyrighted by Book News Inc., Portland, OR.
Book Synopsis Lectures in set theory, with particular emphasis on the method of forcing by : Thomas J. Jech
Download or read book Lectures in set theory, with particular emphasis on the method of forcing written by Thomas J. Jech and published by . This book was released on 1971 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Network Information Theory by : Abbas El Gamal
Download or read book Network Information Theory written by Abbas El Gamal and published by Cambridge University Press. This book was released on 2011-12-08 with total page 666 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive treatment of network information theory and its applications provides the first unified coverage of both classical and recent results. With an approach that balances the introduction of new models and new coding techniques, readers are guided through Shannon's point-to-point information theory, single-hop networks, multihop networks, and extensions to distributed computing, secrecy, wireless communication, and networking. Elementary mathematical tools and techniques are used throughout, requiring only basic knowledge of probability, whilst unified proofs of coding theorems are based on a few simple lemmas, making the text accessible to newcomers. Key topics covered include successive cancellation and superposition coding, MIMO wireless communication, network coding, and cooperative relaying. Also covered are feedback and interactive communication, capacity approximations and scaling laws, and asynchronous and random access channels. This book is ideal for use in the classroom, for self-study, and as a reference for researchers and engineers in industry and academia.
Book Synopsis Notes On The Theory Of Choice by : David Kreps
Download or read book Notes On The Theory Of Choice written by David Kreps and published by Routledge. This book was released on 2018-05-04 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, Professor Kreps presents a first course on the basic models of choice theory that underlie much of economic theory. This course, taught for several years at the Graduate School of Business, Stanford University, gives the student an introduction to the axiomatic method of economic analysis, without placing too heavy a demand on mathematical sophistication.The course begins with the basics of choice and revealed preference theory and then discusses numerical representations of ordinal preference. Models with uncertainty come next: First is von Neumann?Morgenstern utility, and then choice under uncertainty with subjective uncertainty, using the formulation of Anscombe and Aumann, and then sketching the development of Savage's classic theory. Finally, the course delves into a number of special topics, including de Finetti's theorem, modeling choice on a part of a larger problem, dynamic choice, and the empirical evidence against the classic models.
Book Synopsis Lectures on Choquet's Theorem by : Robert R. Phelps
Download or read book Lectures on Choquet's Theorem written by Robert R. Phelps and published by Springer. This book was released on 2003-07-01 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: A well written, readable and easily accessible introduction to "Choquet theory", which treats the representation of elements of a compact convex set as integral averages over extreme points of the set. The interest in this material arises both from its appealing geometrical nature as well as its extraordinarily wide range of application to areas ranging from approximation theory to ergodic theory. Many of these applications are treated in this book. This second edition is an expanded and updated version of what has become a classic basic reference in the subject.
Book Synopsis Lectures on the Theory of Numbers by : Harold N. Shapiro
Download or read book Lectures on the Theory of Numbers written by Harold N. Shapiro and published by . This book was released on 1948 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Introduction to Representation Theory by : Pavel I. Etingof
Download or read book Introduction to Representation Theory written by Pavel I. Etingof and published by American Mathematical Soc.. This book was released on 2011 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Very roughly speaking, representation theory studies symmetry in linear spaces. It is a beautiful mathematical subject which has many applications, ranging from number theory and combinatorics to geometry, probability theory, quantum mechanics, and quantum field theory. The goal of this book is to give a ``holistic'' introduction to representation theory, presenting it as a unified subject which studies representations of associative algebras and treating the representation theories of groups, Lie algebras, and quivers as special cases. Using this approach, the book covers a number of standard topics in the representation theories of these structures. Theoretical material in the book is supplemented by many problems and exercises which touch upon a lot of additional topics; the more difficult exercises are provided with hints. The book is designed as a textbook for advanced undergraduate and beginning graduate students. It should be accessible to students with a strong background in linear algebra and a basic knowledge of abstract algebra.
Book Synopsis Lectures on Gas Theory by : Ludwig Boltzmann
Download or read book Lectures on Gas Theory written by Ludwig Boltzmann and published by Univ of California Press. This book was released on 2023-11-15 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title is part of UC Press's Voices Revived program, which commemorates University of California Press’s mission to seek out and cultivate the brightest minds and give them voice, reach, and impact. Drawing on a backlist dating to 1893, Voices Revived makes high-quality, peer-reviewed scholarship accessible once again using print-on-demand technology. This title was originally published in 1964.
Book Synopsis Lecture-Notes on the Theory of Electrical Measurements by : William An; Anthony
Download or read book Lecture-Notes on the Theory of Electrical Measurements written by William An; Anthony and published by Forgotten Books. This book was released on 2015-06-25 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Lecture-Notes on the Theory of Electrical Measurements: Prepared for the Third-Year Classes of the Cooper Union, Night-School of Science It is the purpose of these Notes to furnish the student the topics treated in the lectures; to give in full such facts, data, and courses of reasoning as are not readily mastered by the student in the course of the lecture; in short, to aid the student in those matters which he is likely to find most difficult, or which he may fail at the moment to fully grasp. It is not, however, intended to relieve the student of the necessity of taking his own notes of the lectures as they are delivered, and every student is expected to take such notes, especially as to the experiments and the lessons which they teach. Unless the student writes short-hand, the notes he can take during a lecture must necessarily be brief, and he should aim to record suggestive phrases to be afterward more fully elaborated. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Book Synopsis Notes of Lectures on Molecular Dynamics and the Wave Theory of Light by : William Thomson Baron Kelvin
Download or read book Notes of Lectures on Molecular Dynamics and the Wave Theory of Light written by William Thomson Baron Kelvin and published by . This book was released on 1884 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Lectures on the Theory of Numbers by : Harold N. Shapiro
Download or read book Lectures on the Theory of Numbers written by Harold N. Shapiro and published by . This book was released on 1952 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Notes Toward a Performative Theory of Assembly by : Judith Butler
Download or read book Notes Toward a Performative Theory of Assembly written by Judith Butler and published by Harvard University Press. This book was released on 2015-11-17 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Times Higher Education Book of the Week Judith Butler elucidates the dynamics of public assembly under prevailing economic and political conditions, analyzing what they signify and how. Understanding assemblies as plural forms of performative action, Butler extends her theory of performativity to argue that precarity—the destruction of the conditions of livability—has been a galvanizing force and theme in today’s highly visible protests. “Butler’s book is everything that a book about our planet in the 21st century should be. It does not turn its back on the circumstances of the material world or give any succour to those who wish to view the present (and the future) through the lens of fantasies about the transformative possibilities offered by conventional politics Butler demonstrates a clear engagement with an aspect of the world that is becoming in many political contexts almost illicit to discuss: the idea that capitalism, certainly in its neoliberal form, is failing to provide a liveable life for the majority of human beings.” —Mary Evans, Times Higher Education “A heady immersion into the thought of one of today’s most profound philosophers of action...This is a call for a truly transformative politics, and its relevance to the fraught struggles taking place in today’s streets and public spaces around the world cannot be denied.” —Hans Rollman, PopMatters
Book Synopsis Itep Lectures On Particle Physics And Field Theory (In 2 Vols) by : Misha Shifman
Download or read book Itep Lectures On Particle Physics And Field Theory (In 2 Vols) written by Misha Shifman and published by World Scientific. This book was released on 1999-07-22 with total page 919 pages. Available in PDF, EPUB and Kindle. Book excerpt: For almost two decades Prof. Shifman, a clear and pedagogical expositor, has been giving review lectures on frontier topics in theoretical high energy physics. This two-volume book is a collection of some of the best of those lectures. The lectures written in the 1980's and early 1990's have been revised and updated specifically for this publication. The lectures in this book are intended for beginners - graduate students and young researchers - who are about to delve into the intricacies of the theory. They were used by the author in his course ';Advanced Modern Field Theory and Its Applications';, given in the academic year 1994/95 at the University of Minnesota.A wide range of key topics is covered. In Volume 1, the first two chapters are devoted to quantum chromodynamics as the theory of hadrons. The author gives an in-depth discussion of a variety ofpowerful methods based on Wilson's operator product expansion. Chapter 3 (written together with V Novikov, A Vainshtein, and V Zakharov) is the most systematic and pedagogical presentation of instantons in the gauge theories one can find in the literature. Chapter 4 introduces supersymmetry. Chapter 5, concluding this volume, reviews the fascinating dynamics of supersymmetric gauge theories in the strong coupling regime. Chapter 6, which opens Volume 2, is a culmination of the supersymmetric theme. It gives a state-of-the-art description of the breakthrough developments in supersymmetric gauge theories. It has been written specifically for this book by A Vainshtein and the author. Chapter 7 is designed as a primer of two-dimensional conformal field theory, which constitutes the basis of modern string theory. Chapter 8, the last, presents remarkable new findings in quantum mechanics. Every chapter contains exercises and a list of recommended literature.Prof. Shifman has been an active participant and significant contributor in the development of the ideas presented in this book. This accounts for the historical remarks and digressions interspersed in the book, enhancing its pedagogical role. The book will serve as a comprehensive reference and textbook for all graduate students and researchers interested in modern particle physics. It will also be a useful guide for lecturers.
Book Synopsis Lecture Notes on the General Theory of Relativity by : Øyvind Grøn
Download or read book Lecture Notes on the General Theory of Relativity written by Øyvind Grøn and published by Springer Science & Business Media. This book was released on 2010-03-23 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects lectures on the general theory of relativity given by Dr. Øyvind Grøn at the University of Oslo, Norway. This accessible text allows students to follow the deductions all the way throughout the book.
