Guide to Cultivating Complex Analysis PDF Download
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Author: Jiri Lebl
Publisher:
ISBN:
Category :
Languages : en
Pages : 306
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Book Description
An introductory course in complex analysis for incoming graduate students. Created to teach Math 5283 at Oklahoma State University. The book has somewhat more material than could fit in a one-semester course, allowing some choices. There are also appendices on metric spaces and some basic analysis background to make for a longer and more complete course for those that have only had an introduction to basic analysis on the real line.
Author: Jiri Lebl
Publisher:
ISBN:
Category :
Languages : en
Pages : 306
Get Book
Book Description
An introductory course in complex analysis for incoming graduate students. Created to teach Math 5283 at Oklahoma State University. The book has somewhat more material than could fit in a one-semester course, allowing some choices. There are also appendices on metric spaces and some basic analysis background to make for a longer and more complete course for those that have only had an introduction to basic analysis on the real line.
Author: Jiri Lebl
Publisher: Lulu.com
ISBN: 1365095576
Category :
Languages : en
Pages : 142
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Book Description
This book is a polished version of my course notes for Math 6283, Several Complex Variables, given in Spring 2014 and Spring 2016 semester at Oklahoma State University. The course covers basics of holomorphic function theory, CR geometry, the dbar problem, integral kernels and basic theory of complex analytic subvarieties. See http: //www.jirka.org/scv/ for more information.
Author: Steven George Krantz
Publisher: American Mathematical Soc.
ISBN: 0821827243
Category : Functions of several complex variables
Languages : en
Pages : 586
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Book Description
Emphasizing integral formulas, the geometric theory of pseudoconvexity, estimates, partial differential equations, approximation theory, inner functions, invariant metrics, and mapping theory, this title is intended for the student with a background in real and complex variable theory, harmonic analysis, and differential equations.
Author: Jerry R. Muir, Jr.
Publisher: John Wiley & Sons
ISBN: 1118705270
Category : Mathematics
Languages : en
Pages : 280
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Book Description
A thorough introduction to the theory of complex functions emphasizing the beauty, power, and counterintuitive nature of the subject Written with a reader-friendly approach, Complex Analysis: A Modern First Course in Function Theory features a self-contained, concise development of the fundamental principles of complex analysis. After laying groundwork on complex numbers and the calculus and geometric mapping properties of functions of a complex variable, the author uses power series as a unifying theme to define and study the many rich and occasionally surprising properties of analytic functions, including the Cauchy theory and residue theorem. The book concludes with a treatment of harmonic functions and an epilogue on the Riemann mapping theorem. Thoroughly classroom tested at multiple universities, Complex Analysis: A Modern First Course in Function Theory features: Plentiful exercises, both computational and theoretical, of varying levels of difficulty, including several that could be used for student projects Numerous figures to illustrate geometric concepts and constructions used in proofs Remarks at the conclusion of each section that place the main concepts in context, compare and contrast results with the calculus of real functions, and provide historical notes Appendices on the basics of sets and functions and a handful of useful results from advanced calculus Appropriate for students majoring in pure or applied mathematics as well as physics or engineering, Complex Analysis: A Modern First Course in Function Theory is an ideal textbook for a one-semester course in complex analysis for those with a strong foundation in multivariable calculus. The logically complete book also serves as a key reference for mathematicians, physicists, and engineers and is an excellent source for anyone interested in independently learning or reviewing the beautiful subject of complex analysis.
Author: Thomas Lumley
Publisher: John Wiley & Sons
ISBN: 111821093X
Category : Mathematics
Languages : en
Pages : 329
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Book Description
A complete guide to carrying out complex survey analysis using R As survey analysis continues to serve as a core component of sociological research, researchers are increasingly relying upon data gathered from complex surveys to carry out traditional analyses. Complex Surveys is a practical guide to the analysis of this kind of data using R, the freely available and downloadable statistical programming language. As creator of the specific survey package for R, the author provides the ultimate presentation of how to successfully use the software for analyzing data from complex surveys while also utilizing the most current data from health and social sciences studies to demonstrate the application of survey research methods in these fields. The book begins with coverage of basic tools and topics within survey analysis such as simple and stratified sampling, cluster sampling, linear regression, and categorical data regression. Subsequent chapters delve into more technical aspects of complex survey analysis, including post-stratification, two-phase sampling, missing data, and causal inference. Throughout the book, an emphasis is placed on graphics, regression modeling, and two-phase designs. In addition, the author supplies a unique discussion of epidemiological two-phase designs as well as probability-weighting for causal inference. All of the book's examples and figures are generated using R, and a related Web site provides the R code that allows readers to reproduce the presented content. Each chapter concludes with exercises that vary in level of complexity, and detailed appendices outline additional mathematical and computational descriptions to assist readers with comparing results from various software systems. Complex Surveys is an excellent book for courses on sampling and complex surveys at the upper-undergraduate and graduate levels. It is also a practical reference guide for applied statisticians and practitioners in the social and health sciences who use statistics in their everyday work.
Author: O. Carruth McGehee
Publisher: Wiley-Interscience
ISBN:
Category : Mathematics
Languages : en
Pages : 464
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Book Description
Recent decades have seen profound changes in the way we understand complex analysis. This new work presents a much-needed modern treatment of the subject, incorporating the latest developments and providing a rigorous yet accessible introduction to the concepts and proofs of this fundamental branch of mathematics. With its thorough review of the prerequisites and well-balanced mix of theory and practice, this book will appeal both to readers interested in pursuing advanced topics as well as those wishing to explore the many applications of complex analysis to engineering and the physical sciences. * Reviews the necessary calculus, bringing readers quickly up to speed on the material * Illustrates the theory, techniques, and reasoning through the use of short proofs and many examples * Demystifies complex versus real differentiability for functions from the plane to the plane * Develops Cauchy's Theorem, presenting the powerful and easy-to-use winding-number version * Contains over 100 sophisticated graphics to provide helpful examples and reinforce important concepts
Author: Andrew Flachs
Publisher: University of Arizona Press
ISBN: 0816539634
Category : Social Science
Languages : en
Pages : 241
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Book Description
A single seed is more than just the promise of a plant. In rural south India, seeds represent diverging paths toward a sustainable livelihood. Development programs and global agribusiness promote genetically modified seeds and organic certification as a path toward more sustainable cotton production, but these solutions mask a complex web of economic, social, political, and ecological issues that may have consequences as dire as death. In Cultivating Knowledge anthropologist Andrew Flachs shows how rural farmers come to plant genetically modified or certified organic cotton, sometimes during moments of agrarian crisis. Interweaving ethnographic detail, discussions of ecological knowledge, and deep history, Flachs uncovers the unintended consequences of new technologies, which offer great benefits to some—but at others’ expense. Flachs shows that farmers do not make simple cost-benefit analyses when evaluating new technologies and options. Their evaluation of development is a complex and shifting calculation of social meaning, performance, economics, and personal aspiration. Only by understanding this complicated nexus can we begin to understand sustainable agriculture. By comparing the experiences of farmers engaged with these mutually exclusive visions for the future of agriculture, Cultivating Knowledge investigates the human responses to global agrarian change. It illuminates the local impact of global changes: the slow, persistent dangers of pesticides, inequalities in rural life, the aspirations of people who grow fibers sent around the world, the place of ecological knowledge in modern agriculture, and even the complex threat of suicide. It all begins with a seed.
Author: Albert Edward Ingham
Publisher: Cambridge University Press
ISBN: 9780521397896
Category : Mathematics
Languages : en
Pages : 140
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Book Description
Originally published in 1934, this volume presents the theory of the distribution of the prime numbers in the series of natural numbers. Despite being long out of print, it remains unsurpassed as an introduction to the field.
Author: Risto Lehtonen
Publisher: John Wiley & Sons
ISBN: 0470091630
Category : Mathematics
Languages : en
Pages : 360
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Book Description
Large surveys are becoming increasingly available for public use, and researchers are often faced with the need to analyse complex survey data to address key scientific issues. For proper analysis it is also important to be aware of the different aspects of the design of complex surveys. Practical Methods for Design and Analysis of Complex Surveys features intermediate and advanced statistical techniques for use in designing and analysing complex surveys. This extensively updated edition features much new material, and detailed practical exercises with links to a Web site, helping instructors and enabling use for distance learning. * Provides a comprehensive introduction to sampling and estimation in descriptive surveys, including design effect statistic and use of auxiliary data. * Includes detailed coverage of complex survey analysis, including design-based ANOVA and logistic regression with GEE estimation. * Contains much new material, including handling of non-sampling errors, and model-assisted estimation for domains. * Features detailed real-li fe case studies, such as multilevel modeling in a multinational educational survey. * Supported by a Web site containing software codes, real data sets, computerized exercises with solutions, and online training materials. Practical Methods for Design and Analysis of Complex Surveys provides a useful practical resource for researchers and practitioners working in the planning, implementation or analysis of complex surveys and opinion polls, including business, educational, health, social, and socio-economic surveys and official statistics. In addition, the book is well suited for use on intermediate and advanced courses in survey sampling.
Author: John P. Dugan
Publisher: John Wiley & Sons
ISBN: 1118864174
Category : Education
Languages : en
Pages : 504
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Book Description
The facilitator's guide brings to life the content of the survey text, Leadership Theory. It offers instructive advice on how to prepare for the use of a critical perspective as well as providing practical resources to translate survey text content to practice. The facilitator's guide consists of: An overview of how to use the guide as well as recommended skills and reflection questions for educators prior to implementing material. Objectives, critical concepts, a chapter overview, and a chapter framework for each chapter from Leadership Theory Lesson plan "walk-throughs" containing 2-3 activities for each chapter of the survey text, with information for learning outcomes, activity setup, and additional notes for facilitation.
