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| Author | : Lawrence M Graves |
| Publisher | : Courier Corporation |
| Total Pages | : 361 |
| Release | : 2012-01-27 |
| Genre | : Mathematics |
| ISBN | : 0486158136 |
This balanced introduction covers all fundamentals, from the real number system and point sets to set theory and metric spaces. Useful references to the literature conclude each chapter. 1956 edition.
| Author | : Hans-Heinrich Lieb |
| Publisher | : John Benjamins Publishing |
| Total Pages | : 276 |
| Release | : 1993-01-01 |
| Genre | : Language Arts & Disciplines |
| ISBN | : 9027236119 |
This book for the first time reconstructs in a single theoretical framework the more important approaches to linguistic variation found in areas as different as historical linguistics, dialectology, sociolinguistics, psycholinguistics, stylistics, contrastive linguistics, language typology, so-called evaluation grammar, and current Chomskyan generative grammar (generally with an emphasis on syntax). The book concentrates on language-internal variation but also analyses typological research and considers the question of how linguistic descriptions may account for variation both within and between languages. The book's first and primary aim is adequate conceptualization in the area of linguistic variation. Its second aim is a practical one: to contribute, from a theoretical point of view, to the vast descriptive effort that is demanded in linguistics in documenting endangered languages. Its third aim is, simply, orientation. Using a non-Labovian notion of linguistic variable, the author distinguishes a holistic and a component approach to linguistic variation. A precise version of the former is developed by formulating a theory of language varieties based on the concept of variety structure of a language; it is then shown how the proposals made by major representatives of the component approach can be integrated into this framework. The theory is extended to interlanguage variation and applied, in particular, to typology. It is further extended to establish the properties of linguistic descriptions that account for variation in a unified way.
| Author | : Robert Clifford Gunning |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 338 |
| Release | : 2009 |
| Genre | : Mathematics |
| ISBN | : 0821821652 |
The theory of analytic functions of several complex variables enjoyed a period of remarkable development in the middle part of the twentieth century. This title intends to provide an extensive introduction to the Oka-Cartan theory and some of its applications, and to the general theory of analytic spaces.
| Author | : Janie H. Wilson |
| Publisher | : SAGE Publications |
| Total Pages | : 441 |
| Release | : 2016-07-21 |
| Genre | : Psychology |
| ISBN | : 1483392163 |
This innovative text offers a completely integrated approach to teaching research methods and statistics by presenting a research question accompanied by the appropriate methods and statistical procedures needed to address it. Research questions and designs become more complex as chapters progress, building on simpler questions to reinforce student learning. Using a conversational style and research examples from published works, this comprehensive book walks readers through the entire research process and includes ample pedagogical support for SPSS, Excel, and APA style.
| Author | : John W. Dettman |
| Publisher | : Courier Corporation |
| Total Pages | : 514 |
| Release | : 2012-05-07 |
| Genre | : Mathematics |
| ISBN | : 0486158284 |
Fundamentals of analytic function theory — plus lucid exposition of 5 important applications: potential theory, ordinary differential equations, Fourier transforms, Laplace transforms, and asymptotic expansions. Includes 66 figures.
| Author | : Alexander von Eye |
| Publisher | : Elsevier |
| Total Pages | : 307 |
| Release | : 1996-02-05 |
| Genre | : Psychology |
| ISBN | : 0080528716 |
Categorical Variables in Developmental Research provides developmental researchers with the basic tools for understanding how to utilize categorical variables in their data analysis. Covering the measurement of individual differences in growth rates, the measurement of stage transitions, latent class and log-linear models, chi-square, and more, the book provides a means for developmental researchers to make use of categorical data. Measurement and repeated observations of categorical data Catastrophe theory Latent class and log-linear models Applications
| Author | : Wendell Fleming |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 420 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1468494619 |
This new edition, like the first, presents a thorough introduction to differential and integral calculus, including the integration of differential forms on manifolds. However, an additional chapter on elementary topology makes the book more complete as an advanced calculus text, and sections have been added introducing physical applications in thermodynamics, fluid dynamics, and classical rigid body mechanics.
| Author | : Shmuel Kantorovitz |
| Publisher | : Springer |
| Total Pages | : 317 |
| Release | : 2016-02-09 |
| Genre | : Mathematics |
| ISBN | : 3319279564 |
This undergraduate textbook is based on lectures given by the author on the differential and integral calculus of functions of several real variables. The book has a modern approach and includes topics such as: •The p-norms on vector space and their equivalence •The Weierstrass and Stone-Weierstrass approximation theorems •The differential as a linear functional; Jacobians, Hessians, and Taylor's theorem in several variables •The Implicit Function Theorem for a system of equations, proved via Banach’s Fixed Point Theorem •Applications to Ordinary Differential Equations •Line integrals and an introduction to surface integrals This book features numerous examples, detailed proofs, as well as exercises at the end of sections. Many of the exercises have detailed solutions, making the book suitable for self-study. Several Real Variables will be useful for undergraduate students in mathematics who have completed first courses in linear algebra and analysis of one real variable.
| Author | : Serge Lang |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 624 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1461210682 |
This new, revised edition covers all of the basic topics in calculus of several variables, including vectors, curves, functions of several variables, gradient, tangent plane, maxima and minima, potential functions, curve integrals, Green’s theorem, multiple integrals, surface integrals, Stokes’ theorem, and the inverse mapping theorem and its consequences. It includes many completely worked-out problems.
| Author | : John J. Shynk |
| Publisher | : John Wiley & Sons |
| Total Pages | : 850 |
| Release | : 2012-10-15 |
| Genre | : Computers |
| ISBN | : 1118393953 |
Probability, Random Variables, and Random Processes is a comprehensive textbook on probability theory for engineers that provides a more rigorous mathematical framework than is usually encountered in undergraduate courses. It is intended for first-year graduate students who have some familiarity with probability and random variables, though not necessarily of random processes and systems that operate on random signals. It is also appropriate for advanced undergraduate students who have a strong mathematical background. The book has the following features: Several appendices include related material on integration, important inequalities and identities, frequency-domain transforms, and linear algebra. These topics have been included so that the book is relatively self-contained. One appendix contains an extensive summary of 33 random variables and their properties such as moments, characteristic functions, and entropy. Unlike most books on probability, numerous figures have been included to clarify and expand upon important points. Over 600 illustrations and MATLAB plots have been designed to reinforce the material and illustrate the various characterizations and properties of random quantities. Sufficient statistics are covered in detail, as is their connection to parameter estimation techniques. These include classical Bayesian estimation and several optimality criteria: mean-square error, mean-absolute error, maximum likelihood, method of moments, and least squares. The last four chapters provide an introduction to several topics usually studied in subsequent engineering courses: communication systems and information theory; optimal filtering (Wiener and Kalman); adaptive filtering (FIR and IIR); and antenna beamforming, channel equalization, and direction finding. This material is available electronically at the companion website. Probability, Random Variables, and Random Processes is the only textbook on probability for engineers that includes relevant background material, provides extensive summaries of key results, and extends various statistical techniques to a range of applications in signal processing.
