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Lecture Notes For First Paper
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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 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 Turbulence by : Jackson R. Herring
Download or read book Lecture Notes on Turbulence written by Jackson R. Herring and published by World Scientific. This book was released on 1989 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a formal presentation of lectures given at the 1987 Summer School on Turbulence, held at the National Center for Atmospheric Research under the auspices of the Geophysical Turbulence Program. The lectures present in detail certain of the more challenging and interesting current turbulence research problems in engineering, meteorology, plasma physics, and mathematics. The lecturers-Uriel Frisch (Mathematics), Douglas Lilly (Meteorology), David Montgomery (Plasma Physics), and Hendrik Tennekes (Engineering) ? are distinguished for both their research contributions and their abilities to communicate these to students with enthusiasm. This book is distinguished by its simultaneous focus on the fundamentals of turbulent flows (in neutral and ionized fluids) and on a presentation of current research tools and topics in these fields.
Book Synopsis USMLE Step 1 Lecture Notes 2021: 7-Book Set by : Kaplan Medical
Download or read book USMLE Step 1 Lecture Notes 2021: 7-Book Set written by Kaplan Medical and published by Simon and Schuster. This book was released on 2020-12 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kaplan Medical's USMLE Step 1 Lecture Notes 2021: 7-Book Set offers in-depth review with a focus on high-yield topics in every discipline—a comprehensive approach that will help you deepen your understanding while focusing your efforts where they'll count the most. Used by thousands of medical students each year to succeed on USMLE Step 1, Kaplan's official lecture notes are packed with full-color diagrams and clear review. The 7 volumes—Pathology, Pharmacology, Physiology, Biochemistry/Medical Genetics, Immunology/Microbiology, Anatomy, and Behavioral Science/Social Sciences—are updated annually by Kaplan's all-star expert faculty. The Best Review 2,000 pages covering every discipline you'll need on this section of the boards Full-color diagrams and charts for better comprehension and retention Clinical correlations and bridges between disciplines highlighted throughout Chapter summary study guides at the end of every chapter for easier review Up-To-Date Content Clinical updates included in all 7 volumes to align with recent changes Organized in outline format with high-yield summary boxes for efficient study
Download or read book Collected Papers I written by Serge Lang and published by Springer Science & Business Media. This book was released on 2000-04-20 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: Serge Lang is not only one of the top mathematicians of our time, but also an excellent writer. He has made innumerable and invaluable contributions in diverse fields of mathematics and was honoured with the Cole Prize by the American Mathematical Society as well as with the Prix Carriere by the French Academy of Sciences. Here, 83 of his research papers are collected in four volumes, ranging over a variety of topics of interest to many readers.
Book Synopsis Lecture Notes in Algebraic Topology by : James F. Davis
Download or read book Lecture Notes in Algebraic Topology written by James F. Davis and published by American Mathematical Society. This book was released on 2023-05-22 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: The amount of algebraic topology a graduate student specializing in topology must learn can be intimidating. Moreover, by their second year of graduate studies, students must make the transition from understanding simple proofs line-by-line to understanding the overall structure of proofs of difficult theorems. To help students make this transition, the material in this book is presented in an increasingly sophisticated manner. It is intended to bridge the gap between algebraic and geometric topology, both by providing the algebraic tools that a geometric topologist needs and by concentrating on those areas of algebraic topology that are geometrically motivated. Prerequisites for using this book include basic set-theoretic topology, the definition of CW-complexes, some knowledge of the fundamental group/covering space theory, and the construction of singular homology. Most of this material is briefly reviewed at the beginning of the book. The topics discussed by the authors include typical material for first- and second-year graduate courses. The core of the exposition consists of chapters on homotopy groups and on spectral sequences. There is also material that would interest students of geometric topology (homology with local coefficients and obstruction theory) and algebraic topology (spectra and generalized homology), as well as preparation for more advanced topics such as algebraic $K$-theory and the s-cobordism theorem. A unique feature of the book is the inclusion, at the end of each chapter, of several projects that require students to present proofs of substantial theorems and to write notes accompanying their explanations. Working on these projects allows students to grapple with the “big picture”, teaches them how to give mathematical lectures, and prepares them for participating in research seminars. The book is designed as a textbook for graduate students studying algebraic and geometric topology and homotopy theory. It will also be useful for students from other fields such as differential geometry, algebraic geometry, and homological algebra. The exposition in the text is clear; special cases are presented over complex general statements.
Book Synopsis Lecture Notes on Motivic Cohomology by : Carlo Mazza
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).
Book Synopsis Situation Theory and Its Applications: Volume 3 by : Robin Cooper
Download or read book Situation Theory and Its Applications: Volume 3 written by Robin Cooper and published by Center for the Study of Language (CSLI). This book was released on 1990 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: Situation theory is the result of an interdisciplinary effort to create a full-fledged theory of information. Created by scholars and scientists from cognitive science, computer science and AI, linguistics, logic, philosophy, and mathematics, it aims to provide a common set of tools for the analysis of phenomena from all these fields. Unlike Shannon-Weaver type theories of information, which are purely quantitative theories, situation theory aims at providing tools for the analysis of the specific content of a situation (signal, message, data base, statement, or other information-carrying situation). The question addressed is not how much information is carried, but what information is carried.
Book Synopsis Writing and Publishing Scientific Papers by : Gábor Lövei
Download or read book Writing and Publishing Scientific Papers written by Gábor Lövei and published by Open Book Publishers. This book was released on 2021-05-19 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gábor Lövei’s scientific communication course for students and scientists explores the intricacies involved in publishing primary scientific papers, and has been taught in more than twenty countries. Writing and Publishing Scientific Papers is the distillation of Lövei’s lecture notes and experience gathered over two decades; it is the coursebook many have been waiting for. The book’s three main sections correspond with the three main stages of a paper’s journey from idea to print: planning, writing, and publishing. Within the book’s chapters, complex questions such as ‘How to write the introduction?’ or ‘How to submit a manuscript?’ are broken down into smaller, more manageable problems that are then discussed in a straightforward, conversational manner, providing an easy and enjoyable reading experience. Writing and Publishing Scientific Papers stands out from its field by targeting scientists whose first language is not English. While also touching on matters of style and grammar, the book’s main goal is to advise on first principles of communication. This book is an excellent resource for any student or scientist wishing to learn more about the scientific publishing process and scientific communication. It will be especially useful to those coming from outside the English-speaking world and looking for a comprehensive guide for publishing their work in English.
Author :M. Margaret Withgott Publisher :Center for the Study of Language (CSLI) ISBN 13 :9780937073988 Total Pages :168 pages Book Rating :4.0/5 (739 download)
Book Synopsis Computational Models of American Speech by : M. Margaret Withgott
Download or read book Computational Models of American Speech written by M. Margaret Withgott and published by Center for the Study of Language (CSLI). This book was released on 1993 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new perspective on phonetic variation is achieved in this volume through the construction of a series of models of spoken American English. In the past, computer theorists and programmers investigating pronunciation have often relied on their own knowledge of the language or on limited transcription data. Speech recognition researchers, on the other hand, have drawn on a great deal of data but without examining in detail the information about pronunciation the data contains. The authors combine the best of each approach to develop probabilistic and rule-based computational models of transcription data. An ongoing controversy in studies of phonetic variation is the existence and proper definition of a phonetic unit. The authors argue that assumptions about the units of spoken language are critical to a computational model. Their computational models employ suprasegmental elements such as syllable boundaries, stress, and position in a unit called a metrical foot. The use of such elements in modeling data enables the creation of better computational models for both recognition and synthesis technology. This book should be of interest to speech engineers, linguists, and anyone who wishes to understand symbolic systems of communication.
Download or read book College Success written by Amy Baldwin and published by . This book was released on 2020-03 with total page 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.
Download or read book Varsity's Soldiers written by Eric McGeer and published by University of Toronto Press. This book was released on 2019-08-22 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: The role of Canadian universities in selecting and training officers for the armed forces is an important yet overlooked chapter in the history of higher education in Canada. For more than fifty years, the University of Toronto supported the largest and most active contingent of the Canadian Officers' Training Corps (COTC), which sent thousands of officer candidates into the regular and reserve forces. Based on the rich fund of documents housed in the university archives, Varsity’s Soldiers offers the first full-length history of military training in Toronto. Beginning with the formation of a student rifle company in 1861, and focusing on the story of the COTC from 1914 to 1968, author Eric McGeer seeks to enlarge appreciation of the university’s remarkable contribution to the defence of Canada, the place of military education in an academic setting, and the experience of the students who embodied the ideal of service to alma mater and to country.
Book Synopsis Lectures On Computation by : Richard P. Feynman
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 The Personal MBA written by Josh Kaufman and published by Penguin. This book was released on 2010-12-30 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: Master the fundamentals, hone your business instincts, and save a fortune in tuition. The consensus is clear: MBA programs are a waste of time and money. Even the elite schools offer outdated assembly-line educations about profit-and-loss statements and PowerPoint presentations. After two years poring over sanitized case studies, students are shuffled off into middle management to find out how business really works. Josh Kaufman has made a business out of distilling the core principles of business and delivering them quickly and concisely to people at all stages of their careers. His blog has introduced hundreds of thousands of readers to the best business books and most powerful business concepts of all time. In The Personal MBA, he shares the essentials of sales, marketing, negotiation, strategy, and much more. True leaders aren't made by business schools-they make themselves, seeking out the knowledge, skills, and experiences they need to succeed. Read this book and in one week you will learn the principles it takes most people a lifetime to master.
Author :Mary Dalrymple Publisher :Center for the Study of Language (CSLI) ISBN 13 :9781881526063 Total Pages :204 pages Book Rating :4.5/5 (26 download)
Book Synopsis The Syntax of Anaphoric Binding by : Mary Dalrymple
Download or read book The Syntax of Anaphoric Binding written by Mary Dalrymple and published by Center for the Study of Language (CSLI). This book was released on 1993-07 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mary Dalrymple provides a theory of the syntax of anaphoric binding, couched in the framework of Lexical-Functional Grammar. Cross-linguistically, anaphoric elements vary a great deal. One finds long- and short-distance reflexives, sometimes within the same language; pronominals may require local noncoreference or coreference only with nonsubjects. Analyses of the syntax of anaphoric binding which have attempted to fit all languages into the mold of English are inadequate to account for the rich range of syntactic constraints that are attested. How, then, can the cross-linguistic regularities exhibited by anaphoric elements be captured, while at the same time accounting for the diversity that is found? Dalrymple shows that syntactic constraints on anaphoric binding can be expressed in terms of just three grammatical concepts: subject, predicate, and tense. These concepts define a set of complex constraints, combinations of which interact to predict the wide range of universally available syntactic conditions that anaphoric elements obey. Mary Dalrymple is a member of the research staff of the Natural Language Theory and Technology group at the Xerox Palo Alto Research Center.
Book Synopsis Morse Theory and Floer Homology by : Michèle Audin
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.
