Compact Geometry

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Geometry and Spectra of Compact Riemann Surfaces

Author : Peter Buser
Publisher : Springer Science & Business Media
ISBN 13 : 0817649921
Total Pages : 473 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Geometry and Spectra of Compact Riemann Surfaces by : Peter Buser

Download or read book Geometry and Spectra of Compact Riemann Surfaces written by Peter Buser and published by Springer Science & Business Media. This book was released on 2010-10-29 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is a self-contained introduction to the geometry of Riemann Surfaces of constant curvature –1 and their length and eigenvalue spectra. It focuses on two subjects: the geometric theory of compact Riemann surfaces of genus greater than one, and the relationship of the Laplace operator with the geometry of such surfaces. Research workers and graduate students interested in compact Riemann surfaces will find here a number of useful tools and insights to apply to their investigations.

A Guide to the Classification Theorem for Compact Surfaces

Author : Jean Gallier
Publisher : Springer Science & Business Media
ISBN 13 : 3642343643
Total Pages : 184 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis A Guide to the Classification Theorem for Compact Surfaces by : Jean Gallier

Download or read book A Guide to the Classification Theorem for Compact Surfaces written by Jean Gallier and published by Springer Science & Business Media. This book was released on 2013-02-05 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: This welcome boon for students of algebraic topology cuts a much-needed central path between other texts whose treatment of the classification theorem for compact surfaces is either too formalized and complex for those without detailed background knowledge, or too informal to afford students a comprehensive insight into the subject. Its dedicated, student-centred approach details a near-complete proof of this theorem, widely admired for its efficacy and formal beauty. The authors present the technical tools needed to deploy the method effectively as well as demonstrating their use in a clearly structured, worked example. Ideal for students whose mastery of algebraic topology may be a work-in-progress, the text introduces key notions such as fundamental groups, homology groups, and the Euler-Poincaré characteristic. These prerequisites are the subject of detailed appendices that enable focused, discrete learning where it is required, without interrupting the carefully planned structure of the core exposition. Gently guiding readers through the principles, theory, and applications of the classification theorem, the authors aim to foster genuine confidence in its use and in so doing encourage readers to move on to a deeper exploration of the versatile and valuable techniques available in algebraic topology.

Compact Hierarchical Bipolar Transistor Modeling with Hicum

Author : Michael Schrter
Publisher : World Scientific
ISBN 13 : 981427321X
Total Pages : 753 pages
Book Rating : 4.8/5 (142 download)

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Book Synopsis Compact Hierarchical Bipolar Transistor Modeling with Hicum by : Michael Schrter

Download or read book Compact Hierarchical Bipolar Transistor Modeling with Hicum written by Michael Schrter and published by World Scientific. This book was released on 2010 with total page 753 pages. Available in PDF, EPUB and Kindle. Book excerpt: Compact Hierarchical Bipolar Transistor Modeling with HICUM will be of great practical benefit to professionals from the process development, modeling and circuit design community who are interested in the application of bipolar transistors, which include the SiGe:C HBTs fabricated with existing cutting-edge process technology. The book begins with an overview on the different device designs of modern bipolar transistors, along with their relevant operating conditions; while the subsequent chapter on transistor theory is subdivided into a review of mostly classical theories, brought into context with modern technology, and a chapter on advanced theory that is required for understanding modern device designs. This book aims to provide a solid basis for the understanding of modern compact models.

Metric Geometry of Locally Compact Groups

Author : Yves Cornulier
Publisher : European Mathematical Society
ISBN 13 : 9783037191668
Total Pages : 248 pages
Book Rating : 4.1/5 (916 download)

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Book Synopsis Metric Geometry of Locally Compact Groups by : Yves Cornulier

Download or read book Metric Geometry of Locally Compact Groups written by Yves Cornulier and published by European Mathematical Society. This book was released on 2016 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main aim of this book is the study of locally compact groups from a geometric perspective, with an emphasis on appropriate metrics that can be defined on them. The approach has been successful for finitely generated groups and can be favorably extended to locally compact groups. Parts of the book address the coarse geometry of metric spaces, where ``coarse'' refers to that part of geometry concerning properties that can be formulated in terms of large distances only. This point of view is instrumental in studying locally compact groups. Basic results in the subject are exposed with complete proofs; others are stated with appropriate references. Most importantly, the development of the theory is illustrated by numerous examples, including matrix groups with entries in the the field of real or complex numbers, or other locally compact fields such as $p$-adic fields, isometry groups of various metric spaces, and last but not least, discrete groups themselves. The book is aimed at graduate students, advanced undergraduate students, and mathematicians seeking some introduction to coarse geometry and locally compact groups.

Introduction to Geometry and Topology

Author : Werner Ballmann
Publisher : Birkhäuser
ISBN 13 : 3034809832
Total Pages : 174 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Introduction to Geometry and Topology by : Werner Ballmann

Download or read book Introduction to Geometry and Topology written by Werner Ballmann and published by Birkhäuser. This book was released on 2018-07-18 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to topology, differential topology, and differential geometry. It is based on manuscripts refined through use in a variety of lecture courses. The first chapter covers elementary results and concepts from point-set topology. An exception is the Jordan Curve Theorem, which is proved for polygonal paths and is intended to give students a first glimpse into the nature of deeper topological problems. The second chapter of the book introduces manifolds and Lie groups, and examines a wide assortment of examples. Further discussion explores tangent bundles, vector bundles, differentials, vector fields, and Lie brackets of vector fields. This discussion is deepened and expanded in the third chapter, which introduces the de Rham cohomology and the oriented integral and gives proofs of the Brouwer Fixed-Point Theorem, the Jordan-Brouwer Separation Theorem, and Stokes's integral formula. The fourth and final chapter is devoted to the fundamentals of differential geometry and traces the development of ideas from curves to submanifolds of Euclidean spaces. Along the way, the book discusses connections and curvature--the central concepts of differential geometry. The discussion culminates with the Gauß equations and the version of Gauß's theorema egregium for submanifolds of arbitrary dimension and codimension. This book is primarily aimed at advanced undergraduates in mathematics and physics and is intended as the template for a one- or two-semester bachelor's course.

Geometry of String Theory Compactifications

Author : Alessandro Tomasiello
Publisher : Cambridge University Press
ISBN 13 : 1108473733
Total Pages : 677 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis Geometry of String Theory Compactifications by : Alessandro Tomasiello

Download or read book Geometry of String Theory Compactifications written by Alessandro Tomasiello and published by Cambridge University Press. This book was released on 2022-01-13 with total page 677 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unified perspective on new and advanced mathematical techniques used in string theory research for graduate students and researchers.

Small Unmanned Fixed-wing Aircraft Design

Author : Andrew J. Keane
Publisher : John Wiley & Sons
ISBN 13 : 1119406293
Total Pages : 501 pages
Book Rating : 4.1/5 (194 download)

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Book Synopsis Small Unmanned Fixed-wing Aircraft Design by : Andrew J. Keane

Download or read book Small Unmanned Fixed-wing Aircraft Design written by Andrew J. Keane and published by John Wiley & Sons. This book was released on 2017-12-04 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: Small Unmanned Fixed-wing Aircraft Design is the essential guide to designing, building and testing fixed wing UAVs (or drones). It deals with aircraft from two to 150 kg in weight and is based on the first-hand experiences of the world renowned UAV team at the UK’s University of Southampton. The book covers both the practical aspects of designing, manufacturing and flight testing and outlines and the essential calculations needed to underpin successful designs. It describes the entire process of UAV design from requirements definition to configuration layout and sizing, through preliminary design and analysis using simple panel codes and spreadsheets to full CFD and FEA models and on to detailed design with parametric CAD tools. Its focus is on modest cost approaches that draw heavily on the latest digital design and manufacturing methods, including a strong emphasis on utilizing off-the-shelf components, low cost analysis, automated geometry modelling and 3D printing. It deliberately avoids a deep theoretical coverage of aerodynamics or structural mechanics; rather it provides a design team with sufficient insights and guidance to get the essentials undertaken more pragmatically. The book contains many all-colour illustrations of the dozens of aircraft built by the authors and their students over the last ten years giving much detailed information on what works best. It is predominantly aimed at under-graduate and MSc level student design and build projects, but will be of interest to anyone engaged in the practical problems of getting quite complex unmanned aircraft flying. It should also appeal to the more sophisticated aero-modeller and those engaged on research based around fixed wing UAVs.

The Complete Book of Road Cycling & Racing

Author : Willard Peveler
Publisher : McGraw Hill Professional
ISBN 13 : 0071643419
Total Pages : 240 pages
Book Rating : 4.0/5 (716 download)

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Book Synopsis The Complete Book of Road Cycling & Racing by : Willard Peveler

Download or read book The Complete Book of Road Cycling & Racing written by Willard Peveler and published by McGraw Hill Professional. This book was released on 2008-09-06 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ride faster, fitter, smarter, & farther Every road rider has goals. Yours may be to begin racing, to become more competitive, or to win a specific tour. Not interested in racing? Perhaps you want to complete your first century ride, improve your overall fitness, or ride father and faster just for the sheer joy of flying on two wheels. No matter what your goals, The Complete Book of Road Cycling and Racing gives you all the information you need to become a better, more performance-focused cyclist. Written by an accomplished racing coach, cyclist, and exercise physiologist, this book shows you how to: Fit the bike to your body for maximum efficiency and comfort Ride safely in a group Cope with any weather or altitude Maintain your bike Prepare for races of all types Master racing strategies and tactics Train efficiently and stay in peak condition year-round And much more

Complex Non-Kähler Geometry

Author : Sławomir Dinew
Publisher : Springer Nature
ISBN 13 : 3030258831
Total Pages : 242 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Complex Non-Kähler Geometry by : Sławomir Dinew

Download or read book Complex Non-Kähler Geometry written by Sławomir Dinew and published by Springer Nature. This book was released on 2019-11-05 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Collecting together the lecture notes of the CIME Summer School held in Cetraro in July 2018, the aim of the book is to introduce a vast range of techniques which are useful in the investigation of complex manifolds. The school consisted of four courses, focusing on both the construction of non-Kähler manifolds and the understanding of a possible classification of complex non-Kähler manifolds. In particular, the courses by Alberto Verjovsky and Andrei Teleman introduced tools in the theory of foliations and analytic techniques for the classification of compact complex surfaces and compact Kähler manifolds, respectively. The courses by Sebastien Picard and Sławomir Dinew focused on analytic techniques in Hermitian geometry, more precisely, on special Hermitian metrics and geometric flows, and on pluripotential theory in complex non-Kähler geometry.

Algebraic Geometry

Author : Michael Artin
Publisher : American Mathematical Society
ISBN 13 : 1470468484
Total Pages : 332 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Algebraic Geometry by : Michael Artin

Download or read book Algebraic Geometry written by Michael Artin and published by American Mathematical Society. This book was released on 2022-09-20 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the geometry of complex algebraic varieties. It is intended for students who have learned algebra, analysis, and topology, as taught in standard undergraduate courses. So it is a suitable text for a beginning graduate course or an advanced undergraduate course. The book begins with a study of plane algebraic curves, then introduces affine and projective varieties, going on to dimension and constructibility. $mathcal{O}$-modules (quasicoherent sheaves) are defined without reference to sheaf theory, and their cohomology is defined axiomatically. The Riemann-Roch Theorem for curves is proved using projection to the projective line. Some of the points that aren't always treated in beginning courses are Hensel's Lemma, Chevalley's Finiteness Theorem, and the Birkhoff-Grothendieck Theorem. The book contains extensive discussions of finite group actions, lines in $mathbb{P}^3$, and double planes, and it ends with applications of the Riemann-Roch Theorem.

Compact Projective Planes

Author : Helmut Salzmann
Publisher : Walter de Gruyter
ISBN 13 : 3110876833
Total Pages : 705 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Compact Projective Planes by : Helmut Salzmann

Download or read book Compact Projective Planes written by Helmut Salzmann and published by Walter de Gruyter. This book was released on 2011-06-24 with total page 705 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany Katrin Wendland, University of Freiburg, Germany Honorary Editor Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) Yakov G. Berkovich and Z. Janko, Groups of Prime Power Order, Volume 6 (2019) Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019) Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019) Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021) Ioannis Diamantis, Boštjan Gabrovšek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)

Fundamental Groups of Compact Kahler Manifolds

Author : Jaume Amorós
Publisher : American Mathematical Soc.
ISBN 13 : 0821804987
Total Pages : 154 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Fundamental Groups of Compact Kahler Manifolds by : Jaume Amorós

Download or read book Fundamental Groups of Compact Kahler Manifolds written by Jaume Amorós and published by American Mathematical Soc.. This book was released on 1996 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an exposition of what is currently known about the fundamental groups of compact Kähler manifolds. This class of groups contains all finite groups and is strictly smaller than the class of all finitely presentable groups. For the first time ever, this book collects together all the results obtained in the last few years which aim to characterize those infinite groups which can arise as fundamental groups of compact Kähler manifolds. Most of these results are negative ones, saying which groups don not arise. The methods and techniques used form an attractive mix of topology, differential and algebraic geometry, and complex analysis. The book would be useful to researchers and graduate students interested in any of these areas, and it could be used as a textbook for an advanced graduate course. One of its outstanding features is a large number of concrete examples. The book contains a number of new results and examples which have not appeared elsewhere, as well as discussions of some important open questions in the field.

Geometry

Author : D. A. Brannan
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (988 download)

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Book Synopsis Geometry by : D. A. Brannan

Download or read book Geometry written by D. A. Brannan and published by . This book was released on 2012 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Geometry of Riemann Surfaces

Author : William J. Harvey
Publisher : Cambridge University Press
ISBN 13 : 0521733073
Total Pages : 416 pages
Book Rating : 4.5/5 (217 download)

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Book Synopsis Geometry of Riemann Surfaces by : William J. Harvey

Download or read book Geometry of Riemann Surfaces written by William J. Harvey and published by Cambridge University Press. This book was released on 2010-02-11 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Original research and expert surveys on Riemann surfaces.

Complete and Compact Minimal Surfaces

Author : Kichoon Yang
Publisher : Springer Science & Business Media
ISBN 13 : 9400910150
Total Pages : 185 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Complete and Compact Minimal Surfaces by : Kichoon Yang

Download or read book Complete and Compact Minimal Surfaces written by Kichoon Yang and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Et moi ..., si j'avait su comment en reveni.r, One service mathematics has rendered the je n'y serais point aile.' human race. It has put common sense back Jules Verne where it belongs. on the topmost shelf next to the dusty canister labelled 'discarded non 111e series is divergent; therefore we may be sense'. Eric T. Bell able to do something with it. O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.

Bike Touring

Author : Raymond Bridge
Publisher : Catapult
ISBN 13 : 1578051851
Total Pages : 352 pages
Book Rating : 4.5/5 (78 download)

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Book Synopsis Bike Touring by : Raymond Bridge

Download or read book Bike Touring written by Raymond Bridge and published by Catapult. This book was released on 2010-07-01 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1979, Bike Touring introduced tens of thousands of riders to the joys of bicycle travel, and quickly became the go–to reference for an entire generation of bike–touring enthusiasts. But much has changed in the last three decades—and this fully revamped edition provides authoritative information on both the latest equipment and the ever–expanding universe of touring options for a whole new generation of riders. Readers learn how to train, equip, plan, and pack for tours of any length and difficulty, from overnight trips near home to multiweek journeys abroad. Author Raymond Bridge surveys the wide range of touring options, which now include extensive commercial offerings and roof–to–roof (or "credit card") tours, as well as independent, self–contained travel. Chapters covering bike styles—road, mountain, and world–touring models—along with bike frames and fit, drive trains, wheels, brakes, saddles and handlebars, and accessories, offer up–to–date guidance on the myriad equipment choices from the booming bike industry. And chapters on camping, transporting bikes, and roadside repairs are full of expert advice to help both novice and experienced bike travelers get maximum pleasure from any journey while saving money and staying safe.

Mathematics and the 21st Century

Author : A. A. Ashour
Publisher : World Scientific
ISBN 13 : 9812810242
Total Pages : 412 pages
Book Rating : 4.8/5 (128 download)

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Book Synopsis Mathematics and the 21st Century by : A. A. Ashour

Download or read book Mathematics and the 21st Century written by A. A. Ashour and published by World Scientific. This book was released on 2001 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Conference on "Mathematics and the 21st Century" was held in Cairo, Egypt during the period 15-20 January 2000. The conference's sessions consisted of plenary lectures and topical sessions. Some of the plenary lectures covered general fields such as: rewriting the history of mathematics; education of mathematics; relation between mathematics and sciences; and mathematical aspects of transportation.