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.

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.

Download or read book Lectures On Computation written by Richard P. Feynman and published by Addison-Wesley Longman. This book was released on 1996-09-08 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering the theory of computation, information and communications, the physical aspects of computation, and the physical limits of computers, this text is based on the notes taken by one of its editors, Tony Hey, on a lecture course on computation given b

Download or read book Business Adventures written by John Brooks and published by Open Road Media. This book was released on 2015-05-14 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'The best business book I've ever read.' Bill Gates, Wall Street Journal 'The Michael Lewis of his day.' New York Times What do the $350 million Ford Motor Company disaster known as the Edsel, the fast and incredible rise of Xerox, and the unbelievable scandals at General Electric and Texas Gulf Sulphur have in common? Each is an example of how an iconic company was defined by a particular moment of fame or notoriety. These notable and fascinating accounts are as relevant today to understanding the intricacies of corporate life as they were when the events happened. Stories about Wall Street are infused with drama and adventure and reveal the machinations and volatile nature of the world of finance. John Brooks's insightful reportage is so full of personality and critical detail that whether he is looking at the astounding market crash of 1962, the collapse of a well-known brokerage firm, or the bold attempt by American bankers to save the British pound, one gets the sense that history really does repeat itself. This business classic written by longtime New Yorker contributor John Brooks is an insightful and engaging look into corporate and financial life in America.

Download or read book Feynman s Tips on Physics written by Richard P. Feynman and published by Basic Books. This book was released on 2013-01-29 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: Feynman's Tips on Physics is a delightful collection of Richard P. Feynman's insights and an essential companion to his legendary Feynman Lectures on Physics With characteristic flair, insight, and humor, Feynman discusses topics physics students often struggle with and offers valuable tips on addressing them. Included here are three lectures on problem-solving and a lecture on inertial guidance omitted from The Feynman Lectures on Physics. An enlightening memoir by Matthew Sands and oral history interviews with Feynman and his Caltech colleagues provide firsthand accounts of the origins of Feynman's landmark lecture series. Also included are incisive and illuminating exercises originally developed to supplement The Feynman Lectures on Physics, by Robert B. Leighton and Rochus E. Vogt. Feynman's Tips on Physics was co-authored by Michael A. Gottlieb and Ralph Leighton to provide students, teachers, and enthusiasts alike an opportunity to learn physics from some of its greatest teachers, the creators of The Feynman Lectures on Physics.

Download or read book Lecture Notes on Motivic Cohomology written by Carlo Mazza and published by American Mathematical Soc.. This book was released on 2006 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: The notion of a motive is an elusive one, like its namesake "the motif" of Cezanne's impressionist method of painting. Its existence was first suggested by Grothendieck in 1964 as the underlying structure behind the myriad cohomology theories in Algebraic Geometry. We now know that there is a triangulated theory of motives, discovered by Vladimir Voevodsky, which suffices for the development of a satisfactory Motivic Cohomology theory. However, the existence of motives themselves remains conjectural. This book provides an account of the triangulated theory of motives. Its purpose is to introduce Motivic Cohomology, to develop its main properties, and finally to relate it to other known invariants of algebraic varieties and rings such as Milnor K-theory, etale cohomology, and Chow groups. The book is divided into lectures, grouped in six parts. The first part presents the definition of Motivic Cohomology, based upon the notion of presheaves with transfers. Some elementary comparison theorems are given in this part. The theory of (etale, Nisnevich, and Zariski) sheaves with transfers is developed in parts two, three, and six, respectively. The theoretical core of the book is the fourth part, presenting the triangulated category of motives. Finally, the comparison with higher Chow groups is developed in part five. The lecture notes format is designed for the book to be read by an advanced graduate student or an expert in a related field. The lectures roughly correspond to one-hour lectures given by Voevodsky during the course he gave at the Institute for Advanced Study in Princeton on this subject in 1999-2000. In addition, many of the original proofs have been simplified and improved so that this book will also be a useful tool for research mathematicians. Information for our distributors: Titles in this series are copublished with the Clay Mathematics Institute (Cambridge, MA).

Download or read book The Two Cultures written by C. P. Snow and published by Cambridge University Press. This book was released on 2012-03-26 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: The importance of science and technology and future of education and research are just some of the subjects discussed here.

Download or read book A Course in Model Theory written by Katrin Tent and published by Cambridge University Press. This book was released on 2012-03-08 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concise introduction to current topics in model theory, including simple and stable theories.

Download or read book General Surgery with Wiley E Text written by Harold Ellis and published by John Wiley & Sons. This book was released on 2016-01-26 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: THE 'GOLDEN JUBILEE' EDITION OF A CLASSIC TEXTBOOK, FIRST PUBLISHED IN 1965 Highly Commended at the British Medical Association Book Awards 2016 General Surgery Lecture Notes continues to be an invaluable, appealing and approachable resource for thousands of medical students and surgical trainees throughout the world. This comprehensive guide focuses on the fundamentals of general surgery, and systematically covers all the clinical surgical problems that a student may encounter and about which they need to know. Fully revised and updated to reflect the rapid changes which are taking place in surgical practice, this 50th anniversary edition: Includes principles of treatment written at student level to aid understanding Features full colour illustrations throughout Includes electronic access to a range of extra material including case studies, images and photographs, and biographies Includes free access to the Wiley E-Text Is a perfect review text for medical students as well as junior surgeons taking the MRCS examination and other postgraduate surgical examinations Trusted by generations of medical students, the clinical emphasis of General Surgery Lecture Notes makes this an essential purchase for all those wishing to learn more about general surgery.

Download or read book How To Take Good Notes written by Angelos Georgakis and published by Createspace Independent Publishing Platform. This book was released on 2017-06-25 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Why would I need a book on how to take notes? Notes are just notes!" -- FALSE. Scientists have found that note taking can be as mentally demanding as playing chess can be for an expert. While you take notes, you listen carefully to the lecturer, you process the new material, you organize it in your working memory, and you finally write down what you think is most important. All this happens while someone is talking at an average speed of three words per second and someone is writing down at an average speed of one-third of a word per second. It doesn't sound easy now, does it? Notes are an important tool for learning. We don't take notes just to record a few facts so we can review them later. Learning happens as we take notes. Taking notes the right way leads to good study practices, better performance on exams, and long-term retention of information. "Note taking comes naturally." FALSE. Note taking is not obvious or intuitive. Research has shown that students fail to capture 40% of the main points in a typical lecture. First-year students capture only 11%. In some studies, even the best note takers seem to record less than 75% of the important information. People think they take good notes until they're told they don't. Few of us have consciously thought about how we take notes (let alone how to improve the quality of them). We often reproduce the lecturer's phrases verbatim. We don't save time by systematic use of abbreviations. We fail to become a "good psychologist" of our lecturer. We fail to pick up his enthusiasm. We fail to interpret the tone of his voice. We fail to read his body language. And the result is that we fail to take good notes. "Anyway, no one taught me how to take notes in school or in college." TRUE. Educators believe that students are able to assess the quality of their notes and follow good practices. However, studies have shown the exact opposite. The fact that there isn't a course in college dedicated to the art of taking notes (or learning in general) makes students believe that this is a natural skill that they can perfect with practice over the course of their studies. "At the end of the day, everyone has their own way to take notes." TRUE. In this book, you may be surprised to learn that I don't make any references to different types of note-taking systems like those that other books do. The reason is that it's the practices behind the note taking that matter most. For example, you should not copy the lecturer's phrases word for word, but generate the main points in your own words. And you should leave space on your notes for adding comments and testing yourself later. I encourage students to use the Cornell note-taking system because it utilizes most of the principles of effective note taking. No matter which note-taking system you decide to follow, the cognitive effort you will have to expend is equally high. Note taking may not be rocket science, but it's definitely science-cognitive science. And cognitive science has produced a lot of useful insights that we can use now to take better notes. This book presents these insights in simple words, so you can make the most of your notes and use them to study effectively. The title of this book is How to take good notes. However, note taking is just one part of the picture. Note taking is much broader in the context of this book. We take notes so we can interact with them later. What matters most is what we do with our notes after we finish taking them. Notes can do so many good things for you. They hold all your learning efforts. Treat them well. Look after them.

Download or read book Morse Theory and Floer Homology written by Michèle Audin and published by Springer Science & Business Media. This book was released on 2013-11-29 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to modern methods of symplectic topology. It is devoted to explaining the solution of an important problem originating from classical mechanics: the 'Arnold conjecture', which asserts that the number of 1-periodic trajectories of a non-degenerate Hamiltonian system is bounded below by the dimension of the homology of the underlying manifold. The first part is a thorough introduction to Morse theory, a fundamental tool of differential topology. It defines the Morse complex and the Morse homology, and develops some of their applications. Morse homology also serves a simple model for Floer homology, which is covered in the second part. Floer homology is an infinite-dimensional analogue of Morse homology. Its involvement has been crucial in the recent achievements in symplectic geometry and in particular in the proof of the Arnold conjecture. The building blocks of Floer homology are more intricate and imply the use of more sophisticated analytical methods, all of which are explained in this second part. The three appendices present a few prerequisites in differential geometry, algebraic topology and analysis. The book originated in a graduate course given at Strasbourg University, and contains a large range of figures and exercises. Morse Theory and Floer Homology will be particularly helpful for graduate and postgraduate students.

Download or read book Lecture Notes in Applied Differential Equations of Mathematical Physics written by Luiz C. L. Botelho and published by World Scientific. This book was released on 2008 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: Functional analysis is a well-established powerful method in mathematical physics, especially those mathematical methods used in modern non-perturbative quantum field theory and statistical turbulence. This book presents a unique, modern treatment of solutions to fractional random differential equations in mathematical physics. It follows an analytic approach in applied functional analysis for functional integration in quantum physics and stochastic LangevinOCoturbulent partial differential equations.An errata II to the book is available. Click here to download the pdf.

Download or read book Books in Print written by and published by . This book was released on 1991 with total page 2432 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Lecture Notes in Microeconomic Theory written by Ariel Rubinstein and published by Princeton University Press. This book was released on 2012-03-04 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ariel Rubinstein's well-known lecture notes on microeconomics—now fully revised and expanded This book presents Ariel Rubinstein's lecture notes for the first part of his well-known graduate course in microeconomics. Developed during the fifteen years that Rubinstein taught the course at Tel Aviv University, Princeton University, and New York University, these notes provide a critical assessment of models of rational economic agents, and are an invaluable supplement to any primary textbook in microeconomic theory. In this fully revised and expanded second edition, Rubinstein retains the striking originality and deep simplicity that characterize his famously engaging style of teaching. He presents these lecture notes with a precision that gets to the core of the material, and he places special emphasis on the interpretation of key concepts. Rubinstein brings this concise book thoroughly up to date, covering topics like modern choice theory and including dozens of original new problems. Written by one of the world's most respected and provocative economic theorists, this second edition of Lecture Notes in Microeconomic Theory is essential reading for students, teachers, and research economists. Fully revised, expanded, and updated Retains the engaging style and method of Rubinstein's well-known lectures Covers topics like modern choice theory Features numerous original new problems—including 21 new review problems Solutions manual (available only to teachers) can be found at: http://gametheory.tau.ac.il/microTheory/.

Download or read book Classical Mechanics written by Matthew J. Benacquista and published by Springer. This book was released on 2018-02-27 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides an introduction to classical mechanics at a level intermediate between the typical undergraduate and advanced graduate level. This text describes the background and tools for use in the fields of modern physics, such as quantum mechanics, astrophysics, particle physics, and relativity. Students who have had basic undergraduate classical mechanics or who have a good understanding of the mathematical methods of physics will benefit from this book.

Download or read book A Concise Course in Algebraic Topology written by J. P. May and published by University of Chicago Press. This book was released on 1999-09 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic topology is a basic part of modern mathematics, and some knowledge of this area is indispensable for any advanced work relating to geometry, including topology itself, differential geometry, algebraic geometry, and Lie groups. This book provides a detailed treatment of algebraic topology both for teachers of the subject and for advanced graduate students in mathematics either specializing in this area or continuing on to other fields. J. Peter May's approach reflects the enormous internal developments within algebraic topology over the past several decades, most of which are largely unknown to mathematicians in other fields. But he also retains the classical presentations of various topics where appropriate. Most chapters end with problems that further explore and refine the concepts presented. The final four chapters provide sketches of substantial areas of algebraic topology that are normally omitted from introductory texts, and the book concludes with a list of suggested readings for those interested in delving further into the field.

Download or read book Building Bridges II written by Imre Bárány and published by Springer Nature. This book was released on 2020-02-04 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects together research and survey papers written by invited speakers of the conference celebrating the 70th birthday of László Lovász. The topics covered include classical subjects such as extremal graph theory, coding theory, design theory, applications of linear algebra and combinatorial optimization, as well as recent trends such as extensions of graph limits, online or statistical versions of classical combinatorial problems, and new methods of derandomization. László Lovász is one of the pioneers in the interplay between discrete and continuous mathematics, and is a master at establishing unexpected connections, “building bridges” between seemingly distant fields. His invariably elegant and powerful ideas have produced new subfields in many areas, and his outstanding scientific work has defined and shaped many research directions in the last 50 years. The 14 contributions presented in this volume, all of which are connected to László Lovász's areas of research, offer an excellent overview of the state of the art of combinatorics and related topics and will be of interest to experienced specialists as well as young researchers.