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Author: Warren P. Johnson
Publisher: American Mathematical Soc.
ISBN: 1470456230
Category : Education
Languages : en
Pages : 537
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Book Description
Starting from simple generalizations of factorials and binomial coefficients, this book gives a friendly and accessible introduction to q q-analysis, a subject consisting primarily of identities between certain kinds of series and products. Many applications of these identities to combinatorics and number theory are developed in detail. There are numerous exercises to help students appreciate the beauty and power of the ideas, and the history of the subject is kept consistently in view. The book has few prerequisites beyond calculus. It is well suited to a capstone course, or for self-study in combinatorics or classical analysis. Ph.D. students and research mathematicians will also find it useful as a reference.
Author: Warren P. Johnson
Publisher: American Mathematical Soc.
ISBN: 1470456230
Category : Education
Languages : en
Pages : 537
Get Book Here
Book Description
Starting from simple generalizations of factorials and binomial coefficients, this book gives a friendly and accessible introduction to q q-analysis, a subject consisting primarily of identities between certain kinds of series and products. Many applications of these identities to combinatorics and number theory are developed in detail. There are numerous exercises to help students appreciate the beauty and power of the ideas, and the history of the subject is kept consistently in view. The book has few prerequisites beyond calculus. It is well suited to a capstone course, or for self-study in combinatorics or classical analysis. Ph.D. students and research mathematicians will also find it useful as a reference.
Author: John L. Casti
Publisher: Springer Science & Business Media
ISBN: 3642709532
Category : Mathematics
Languages : en
Pages : 295
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Book Description
In May 1984 the Swedish Council for Scientific Research convened a small group of investigators at the scientific research station at Abisko, Sweden, for the purpose of examining various conceptual and mathematical views of the evolution of complex systems. The stated theme of the meeting was deliberately kept vague, with only the purpose of discussing alternative mathematically based approaches to the modeling of evolving processes being given as a guideline to the participants. In order to limit the scope to some degree, it was decided to emphasize living rather than nonliving processes and to invite participants from a range of disciplinary specialities spanning the spectrum from pure and applied mathematics to geography and analytic philosophy. The results of the meeting were quite extraordinary; while there was no intent to focus the papers and discussion into predefined channels, an immediate self-organizing effect took place and the deliberations quickly oriented themselves into three main streams: conceptual and formal structures for characterizing sys tem complexity; evolutionary processes in biology and ecology; the emergence of complexity through evolution in natural lan guages. The chapters presented in this volume are not the proceed ings of the meeting. Following the meeting, the organizers felt that the ideas and spirit of the gathering should be preserved in some written form, so the participants were each requested to produce a chapter, explicating the views they presented at Abisko, written specifically for this volume. The results of this exercise form the volume you hold in your hand.
Author: Lynn H. Loomis
Publisher: Courier Corporation
ISBN: 0486282317
Category : Mathematics
Languages : en
Pages : 210
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Book Description
Written by a prominent figure in the field of harmonic analysis, this classic monograph is geared toward advanced undergraduates and graduate students and focuses on methods related to Gelfand's theory of Banach algebra. 1953 edition.
Author: Daniel J. Madden
Publisher: John Wiley & Sons
ISBN: 1119314720
Category : Education
Languages : en
Pages : 450
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Book Description
An engaging and accessible introduction to mathematical proof incorporating ideas from real analysis A mathematical proof is an inferential argument for a mathematical statement. Since the time of the ancient Greek mathematicians, the proof has been a cornerstone of the science of mathematics. The goal of this book is to help students learn to follow and understand the function and structure of mathematical proof and to produce proofs of their own. An Introduction to Proof through Real Analysis is based on course material developed and refined over thirty years by Professor Daniel J. Madden and was designed to function as a complete text for both first proofs and first analysis courses. Written in an engaging and accessible narrative style, this book systematically covers the basic techniques of proof writing, beginning with real numbers and progressing to logic, set theory, topology, and continuity. The book proceeds from natural numbers to rational numbers in a familiar way, and justifies the need for a rigorous definition of real numbers. The mathematical climax of the story it tells is the Intermediate Value Theorem, which justifies the notion that the real numbers are sufficient for solving all geometric problems. • Concentrates solely on designing proofs by placing instruction on proof writing on top of discussions of specific mathematical subjects • Departs from traditional guides to proofs by incorporating elements of both real analysis and algebraic representation • Written in an engaging narrative style to tell the story of proof and its meaning, function, and construction • Uses a particular mathematical idea as the focus of each type of proof presented • Developed from material that has been class-tested and fine-tuned over thirty years in university introductory courses An Introduction to Proof through Real Analysis is the ideal introductory text to proofs for second and third-year undergraduate mathematics students, especially those who have completed a calculus sequence, students learning real analysis for the first time, and those learning proofs for the first time. Daniel J. Madden, PhD, is an Associate Professor of Mathematics at The University of Arizona, Tucson, Arizona, USA. He has taught a junior level course introducing students to the idea of a rigorous proof based on real analysis almost every semester since 1990. Dr. Madden is the winner of the 2015 Southwest Section of the Mathematical Association of America Distinguished Teacher Award. Jason A. Aubrey, PhD, is Assistant Professor of Mathematics and Director, Mathematics Center of the University of Arizona.
Author: Simon Watts
Publisher: SAGE
ISBN: 1446290700
Category : Reference
Languages : en
Pages : 251
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Book Description
This book is a simple yet thorough introduction to Q methodology, a research technique designed to capture the subjective or first-person viewpoints of its participants. Watts and Stenner outline the key theoretical concepts developed by William Stephenson, the founder of Q methodology, including subjectivity, concourse theory and abduction. They then turn to the practicalities of delivering high quality Q methodological research. Using worked examples throughout, the reader is guided through: • important design issues • the conduct of fieldwork • all the analytic processes of Q methodology, including factor extraction, factor rotation and factor interpretation. Drawing on helpful conceptual introductions to potentially difficult statistical concepts and a step-by-step guide to running Q methodological analyses using dedicated software, this book enables interested readers to design, manage, analyse, interpret and publish their own Q methodological research.
Author: David Causton
Publisher: Springer Science & Business Media
ISBN: 9401179816
Category : Science
Languages : en
Pages : 363
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Book Description
TO VEGETATION ANALYSIS Principles, practice and interpretation D.R.CAUSTON Department of Botany and Microbiology, University College of Wales, Aberystwyth London UNWIN HYMAN Boston Sydney Wellington © D. R. Causton, 1988 This book is copyright under the Berne Convention. No reproduction without permission. All rights reserved. Published by the Academic Division of Unwin Hyman Ltd 15/17 Broadwick Street, London W1V 1FP, UK Allen & Unwin Inc., 8 Winchester Place, Winchester, Mass. 01890, USA Allen & Unwin (Australia) Ltd, 8 Napier Street, North Sydney, NSW 2060, Australia Allen & Unwin (New Zealand) Ltd in association with the Port Nicholson Press Ltd, 60 Cambridge Terrace, Wellington, New Zealand First published in 1988 British Library Cataloguing in Publication Data Causton, David R. An introduction to vegetation analysis: principles, practice and intepretation. 1. Botany-Ecology-Mathematics I. Title 581.5'247 QK901 ISBN-13: 978-0-04-581025-3 e-ISBN-13: 978-94-011-7981-2 DOl: 10.1007/978-94-011-7981-2 Library of Congress Cataloging-in-Publication Data Causton, David R. An introduction to vegetation analysis. Bibliography: p. Includes index. 1. Botany-Ecology-Methodology. 2. Plant communities-Research-Methodology. 3. Vegetation surveys. 4. Vegetation classification. I. Title. QK90I.C33 1987 581.5 87-19327 ISBN-13: 978-0-04-581025-3 Typeset in 10 on 12 point Times by Mathematical Composition Setters Ltd, Salisbury and Biddies of Guildford Preface This book has been written to help students and their teachers, at various levels, to understand the principles, some of the methods, and ways of interpreting vegetational and environmental data acquired in the field.
Author: Bruce McKeown
Publisher: SAGE Publications
ISBN: 148332284X
Category : Psychology
Languages : en
Pages : 121
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Book Description
Direct, well-organized, and easy to follow, Q Methodology, Second Edition, by Bruce McKeown and Dan B. Thomas, reviews the philosophical foundations of subjective communicability (concourse theory), operant subjectivity, and quantum-theoretical aspects of Q as relevant to the social and behavioral sciences. The authors discuss data-gathering techniques (communication concourses, Q samples, and Q sorting), statistical techniques (correlation and factor analysis and the important calculation of factor scores), and strategies for conducting small person-sample research along Q methodological lines.
Author: Yitzhak Katznelson
Publisher:
ISBN:
Category : Harmonic analysis
Languages : en
Pages : 292
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Book Description
Author: George Kesidis
Publisher: John Wiley & Sons
ISBN: 0470168676
Category : Computers
Languages : en
Pages : 248
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Book Description
A self-contained text on modeling and performance evaluation of communication networks This quantitative book focuses on the real issues behind modeling and analysis of communication networks. The author covers a wide variety of topical networking subject matter based on the provided background material in probability, Markov chains, and queues. Leveraging this material, the author explores topics in local multiplexing and routing over three successive chapters, stressing both continuous-time and discrete-time contexts. The remaining chapters focus more directly on networking, such as traffic shaping and multiplexing, static routing, dynamic routing, and peer-to-peer file sharing systems. Providing more rigorous and technically deep coverage than most commonly used networking textbooks, An Introduction to Communication Network Analysis covers classical (e.g., queuing theory) and modern (e.g., pricing) aspects of networking in a clear, accessible manner. Chapters include: * Review of Elementary Probability Theory * Markov Chains * Introduction to Queuing Theory * Local Multiplexing * Queuing Networks with Static Routing * Dynamic Routing with Incentives * Peer-to-Peer File Sharing with Incentives Appendices include additional background information, solutions, and references for selected problems, making this an invaluable text for graduate-level students and networking researchers alike.
Author: John B. Little
Publisher: American Mathematical Soc.
ISBN: 1470448696
Category : Mathematics
Languages : en
Pages : 342
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Book Description
Can we coexist with the other life forms that have evolved on this planet? Are there realistic alternatives to fossil fuels that would sustainably provide for human society's energy needs and have fewer harmful effects? How do we deal with threats such as emergent diseases? Mathematical models—equations of various sorts capturing relationships between variables involved in a complex situation—are fundamental for understanding the potential consequences of choices we make. Extracting insights from the vast amounts of data we are able to collect requires analysis methods and statistical reasoning. This book on elementary topics in mathematical modeling and data analysis is intended for an undergraduate “liberal arts mathematics”-type course but with a specific focus on environmental applications. It is suitable for introductory courses with no prerequisites beyond high school mathematics. A great variety of exercises extends the discussions of the main text to new situations and/or introduces new real-world examples. Every chapter ends with a section of problems, as well as with an extended chapter project which often involves substantial computing work either in spreadsheet software or in the R statistical package.
