Download or read book An Introduction to Manifolds written by Loring W. Tu and published by Springer Science & Business Media. This book was released on 2010-10-05 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: Manifolds, the higher-dimensional analogs of smooth curves and surfaces, are fundamental objects in modern mathematics. Combining aspects of algebra, topology, and analysis, manifolds have also been applied to classical mechanics, general relativity, and quantum field theory. In this streamlined introduction to the subject, the theory of manifolds is presented with the aim of helping the reader achieve a rapid mastery of the essential topics. By the end of the book the reader should be able to compute, at least for simple spaces, one of the most basic topological invariants of a manifold, its de Rham cohomology. Along the way, the reader acquires the knowledge and skills necessary for further study of geometry and topology. The requisite point-set topology is included in an appendix of twenty pages; other appendices review facts from real analysis and linear algebra. Hints and solutions are provided to many of the exercises and problems. This work may be used as the text for a one-semester graduate or advanced undergraduate course, as well as by students engaged in self-study. Requiring only minimal undergraduate prerequisites, 'Introduction to Manifolds' is also an excellent foundation for Springer's GTM 82, 'Differential Forms in Algebraic Topology'.

Download or read book Harmonic Function Theory written by Sheldon Axler and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about harmonic functions in Euclidean space. This new edition contains a completely rewritten chapter on spherical harmonics, a new section on extensions of Bochers Theorem, new exercises and proofs, as well as revisions throughout to improve the text. A unique software package supplements the text for readers who wish to explore harmonic function theory on a computer.

Download or read book Technical Mathematics written by Paul A. Calter and published by John Wiley & Sons. This book was released on 2011-03-22 with total page 836 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook has been in constant use since 1980, and this edition represents the first major revision of this text since the second edition. It was time to select, make hard choices of material, polish, refine, and fill in where needed. Much has been rewritten to be even cleaner and clearer, new features have been introduced, and some peripheral topics have been removed. The authors continue to provide real-world, technical applications that promote intuitive reader learning. Numerous fully worked examples and boxed and numbered formulas give students the essential practice they need to learn mathematics. Computer projects are given when appropriate, including BASIC, spreadsheets, computer algebra systems, and computer-assisted drafting. The graphing calculator has been fully integrated and calculator screens are given to introduce computations. Everything the technical student may need is included, with the emphasis always on clarity and practical applications.

Download or read book Log Linear Models and Logistic Regression written by Ronald Christensen and published by Springer Science & Business Media. This book was released on 2006-04-06 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: The primary focus here is on log-linear models for contingency tables, but in this second edition, greater emphasis has been placed on logistic regression. The book explores topics such as logistic discrimination and generalised linear models, and builds upon the relationships between these basic models for continuous data and the analogous log-linear and logistic regression models for discrete data. It also carefully examines the differences in model interpretations and evaluations that occur due to the discrete nature of the data. Sample commands are given for analyses in SAS, BMFP, and GLIM, while numerous data sets from fields as diverse as engineering, education, sociology, and medicine are used to illustrate procedures and provide exercises. Throughoutthe book, the treatment is designed for students with prior knowledge of analysis of variance and regression.

Download or read book Probability Theory and Statistical Inference written by Aris Spanos and published by Cambridge University Press. This book was released on 2019-09-19 with total page 787 pages. Available in PDF, EPUB and Kindle. Book excerpt: This empirical research methods course enables informed implementation of statistical procedures, giving rise to trustworthy evidence.

Download or read book Fundamentals of Cryptology written by Henk C.A. van Tilborg and published by Springer Science & Business Media. This book was released on 2006-04-18 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: The protection of sensitive information against unauthorized access or fraudulent changes has been of prime concern throughout the centuries. Modern communication techniques, using computers connected through networks, make all data even more vulnerable for these threats. Also, new issues have come up that were not relevant before, e. g. how to add a (digital) signature to an electronic document in such a way that the signer can not deny later on that the document was signed by him/her. Cryptology addresses the above issues. It is at the foundation of all information security. The techniques employed to this end have become increasingly mathematical of nature. This book serves as an introduction to modern cryptographic methods. After a brief survey of classical cryptosystems, it concentrates on three main areas. First of all, stream ciphers and block ciphers are discussed. These systems have extremely fast implementations, but sender and receiver have to share a secret key. Public key cryptosystems (the second main area) make it possible to protect data without a prearranged key. Their security is based on intractable mathematical problems, like the factorization of large numbers. The remaining chapters cover a variety of topics, such as zero-knowledge proofs, secret sharing schemes and authentication codes. Two appendices explain all mathematical prerequisites in great detail. One is on elementary number theory (Euclid's Algorithm, the Chinese Remainder Theorem, quadratic residues, inversion formulas, and continued fractions). The other appendix gives a thorough introduction to finite fields and their algebraic structure.

Download or read book Essentials of Tropical Combinatorics written by Michael Joswig and published by American Mathematical Society. This book was released on 2021-12-08 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of this book is to explain, at the graduate student level, connections between tropical geometry and optimization. Building bridges between these two subject areas is fruitful in two ways. Through tropical geometry optimization algorithms become applicable to questions in algebraic geometry. Conversely, looking at topics in optimization through the tropical geometry lens adds an additional layer of structure. The author covers contemporary research topics that are relevant for applications such as phylogenetics, neural networks, combinatorial auctions, game theory, and computational complexity. This self-contained book grew out of several courses given at Technische Universität Berlin and elsewhere, and the main prerequisite for the reader is a basic knowledge in polytope theory. It contains a good number of exercises, many examples, beautiful figures, as well as explicit tools for computations using $texttt{polymake}$.

Download or read book Foundations and Methods of Stochastic Simulation written by Barry Nelson and published by Springer Science & Business Media. This book was released on 2013-01-31 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate-level text covers modeling, programming and analysis of simulation experiments and provides a rigorous treatment of the foundations of simulation and why it works. It introduces object-oriented programming for simulation, covers both the probabilistic and statistical basis for simulation in a rigorous but accessible manner (providing all necessary background material); and provides a modern treatment of experiment design and analysis that goes beyond classical statistics. The book emphasizes essential foundations throughout, rather than providing a compendium of algorithms and theorems and prepares the reader to use simulation in research as well as practice. The book is a rigorous, but concise treatment, emphasizing lasting principles but also providing specific training in modeling, programming and analysis. In addition to teaching readers how to do simulation, it also prepares them to use simulation in their research; no other book does this. An online solutions manual for end of chapter exercises is also provided.​

Download or read book Global Burden of Disease and Risk Factors written by Alan D. Lopez and published by World Bank Publications. This book was released on 2006-04-02 with total page 511 pages. Available in PDF, EPUB and Kindle. Book excerpt: Strategic health planning, the cornerstone of initiatives designed to achieve health improvement goals around the world, requires an understanding of the comparative burden of diseases and injuries, their corresponding risk factors and the likely effects of invervention options. The Global Burden of Disease framework, originally published in 1990, has been widely adopted as the preferred method for health accounting and has become the standard to guide the setting of health research priorities. This publication sets out an updated assessment of the situation, with an analysis of trends observed since 1990 and a chapter on the sensitivity of GBD estimates to various sources of uncertainty in methods and data.

Download or read book Python For Dummies written by Stef Maruch and published by John Wiley & Sons. This book was released on 2011-05-09 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: Python is one of the most powerful, easy-to-read programming languages around, but it does have its limitations. This general purpose, high-level language that can be extended and embedded is a smart option for many programming problems, but a poor solution to others. Python For Dummies is the quick-and-easy guide to getting the most out of this robust program. This hands-on book will show you everything you need to know about building programs, debugging code, and simplifying development, as well as defining what actions it can perform. You’ll wrap yourself around all of its advanced features and become an expert Python user in no time. This guide gives you the tools you need to: Master basic elements and syntax Document, design, and debug programs Work with strings like a pro Direct a program with control structures Integrate integers, complex numbers, and modules Build lists, stacks, and queues Create an organized dictionary Handle functions, data, and namespace Construct applications with modules and packages Call, create, extend, and override classes Access the Internet to enhance your library Understand the new features of Python 2.5 Packed with critical idioms and great resources to maximize your productivity, Python For Dummies is the ultimate one-stop information guide. In a matter of minutes you’ll be familiar with Python’s building blocks, strings, dictionaries, and sets; and be on your way to writing the program that you’ve dreamed about!

Download or read book Independent Study Catalog written by Joan H. Hunter and published by Peterson Nelnet Company. This book was released on 1983-02 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Near Surface Applied Geophysics written by Mark E. Everett and published by Cambridge University Press. This book was released on 2013-04-25 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: A refreshing, up-to-date exploration of the latest developments in near-surface techniques, for advanced-undergraduate and graduate students, and professionals.

Download or read book Long Night of the Tankers written by D. H. Bercuson and published by . This book was released on 2014-02-07 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: On February 16th, 1942 a Nazi U-boat brazenly shelled the huge Lago oil refinery on Aruba and torpedoed the tankers Pedernales and Oranjestad, both tied up in Aruba's San Nicolas Harbour. Oranjestad was sunk and Pedernales badly damaged. The damage to the refinery was minor, but that same night other U-boats attacked and sank four more tankers in the waters between Aruba and Curaçao and Venezuela. It was the long night of the tankers and the opening salvo of a two year struggle to dominate the Caribbean Sea. In the last twelve days of February, 1942 alone the submarines sank 17 more ships, most of them tankers. Long Night of the Tankersis the story of the German effort to cut the Caribbean off from Britain, the United States andCanada and the desperate defence mounted by the Allies, along with a half dozen other Caribbean and South American nations. The loss of the oil threatened Britain's ability to wage war; the loss of the tankers almost strangled the oil supply to America's industrial north east. When even Churchill and Roosevelt began to worry about the vulnerable Caribbean, the US and its allies poured thousands of men, hundreds of aircraft and dozens of ships into the Caribbean region, organized an effective convoy system and rallied the Central and South American nations against the Germans. By mid 1944, the Caribbean had become an Allied lake and the submarine threat was defeated. But to this day, the old timers of the islands still remember the oil-soaked beaches, the explosions in the night and the bodies of dead sailors washed ashore that marked this dramatic chapter in the Second World War.

Download or read book Multidimensional Similarity Structure Analysis written by I. Borg and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multidimensional Similarity Structure Analysis comprises a class of models that represent similarity among entities (for example, variables, items, objects, persons, etc.) in multidimensional space to permit one to grasp more easily the interrelations and patterns present in the data. The book is oriented to both researchers who have little or no previous exposure to data scaling and have no more than a high school background in mathematics and to investigators who would like to extend their analyses in the direction of hypothesis and theory testing or to more intimately understand these analytic procedures. The book is repleted with examples and illustrations of the various techniques drawn largely, but not restrictively, from the social sciences, with a heavy emphasis on the concrete, geometric or spatial aspect of the data representations.

Download or read book Classics in the Theory of Public Finance written by Richard A. Musgrave and published by Springer. This book was released on 1958-01-01 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book was prepared mainly for specialists on the assumption that it would provide the background to an important neglected field of discussion in public finance. Since it was first published in 1958, the theory of public goods and its implications for public policy have become incorporated in the main body of the economic analysis of public finance in the literature. A glance at the footnotes of some of the standard textbooks on public finance indicates that this assembly of articles has not been in vain. Probably the most influential part of this collection has been the papers concerned with the theory of public expenditure, which contains two closely related elements. The first is as a part of welfare economics: under what conditions can Pareto optimality be achieved in an economic system in which some goods supplied are indivisible? The other strand of thought is concerned with the positive theory of the public sector: how can economic analysis be used in order to explain how the size and composition of the budget is actually determined?

Download or read book Analysis Patterns written by Martin Fowler and published by Addison-Wesley Professional. This book was released on 1997 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: Martin Fowler is a consultant specializing in object-oriented analysis and design. This book presents and discusses a number of object models derived from various problem domains. All patterns and models presented have been derived from the author's own consulting work and are based on real business cases.

Download or read book Topology in Molecular Biology written by Michael I. Monastyrsky and published by Springer Science & Business Media. This book was released on 2006-10-26 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing a course of modern topology intended for biologists and physicists, this book presents a class of results in molecular biology for which topological methods and ideas are important. These include: the large-scale conformation properties of DNA; computational methods; the structure of proteins; and other problems in molecular biology.