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.
This authoritative book on MALDI MS, now finally available in its second edition and edited by one of its inventors, gives an in-depth description of the many different applications, along with a detailed discussion of the technology itself. Thoroughly updated and expanded, with contributions from key players in the field, this unique book provides a comprehensive overview of MALDI MS along with its possibilities and limitations. The initial chapters deal with the technology and the instrumental setup, followed by chapters on the use of MALDI MS in protein research (including proteomics), genomics, glycomics and lipidomics. The option of MALDI-MS for the analysis of polymers and small molecules are also covered in separate chapters, while new to this edition is a section devoted to the interplay of MALDI MS and bioinformatics. A much-needed practical and educational asset for individuals, academic institutions and companies in the field of bioanalytics.
This book highlights analytical chemistry instrumentation and practices applied to the analysis of natural products and their complex mixtures, describing techniques for isolating and characterizing natural products. • Applies analytical techniques to natural products research – an area of critical importance to drug discovery • Offers a one-stop shop for most analytical methods: x-ray diffraction, NMR analysis, mass spectrometry, and chemical genetics • Includes coverage of natural products basics and highlights antibacterial research, particularly important as efforts to combat drug resistance gain prominence • Covers instrumental techniques with enough detail for both current practitioners and beginning researchers
Moisture analysis covers a variety of methods for measuring high levels of moisture, as well as trace amounts, in solids, liquids, or gases. There are many applications where trace moisture measurements are indispensable for manufacturing and for process quality assurance. Trace moisture in solids must be controlled for plastics, pharmaceuticals and heat treatment processes. Measurement applications in gases and liquids include, for example, drying processes, hydrocarbon processing, pure gases in the semiconductor industry, natural gas pipeline transport, the conditioning of food and other products. Written by experts with over 20 years of experience in the field, this one-stop guide covers all aspects of these measurements, including both the theory and a wealth of practical know-how. As such, it includes guidelines on installation, on the realization of standards for absolute and relative humidity, verification and traceability measurements, equipment calibration methods and the latest research developments. Backed by numerous case studies, this practical book serves the needs of those working in the industry tasked with performing or developing new techniques and processes for moisture and humidity measurement. As a result, the scientist or engineer has all the information required for accurate, reliable, economically viable and efficient moisture measurement.
This book is intended for use by natural resource managers and scientists, and students in the fields of natural resource management, ecology, and conservation biology, who are confronted with complex and difficult decision making problems. The book takes readers through the process of developing a structured approach to decision making, by firstly deconstructing decisions into component parts, which are each fully analyzed and then reassembled to form a working decision model. The book integrates common-sense ideas about problem definitions, such as the need for decisions to be driven by explicit objectives, with sophisticated approaches for modeling decision influence and incorporating feedback from monitoring programs into decision making via adaptive management. Numerous worked examples are provided for illustration, along with detailed case studies illustrating the authors’ experience in applying structured approaches. There is also a series of detailed technical appendices. An accompanying website provides computer code and data used in the worked examples. Additional resources for this book can be found at: www.wiley.com/go/conroy/naturalresourcemanagement.
Understand the design factors of campus environmental theory that impact student success and create a campus of consequence Designing for Learning is a comprehensive introduction to campus environmental theory and practice, summarizing the influence of collegiate environments on learning and providing practical strategies for facilitating student success through intentional design. This second edition offers new coverage of universal design, learning communities, multicultural environments, online environments, social networking, and safety, and challenges educators to evaluate the potential for change on their own campuses. You'll learn which factors make a living-learning community effective, and how to implement these factors in the renovation of campus facilities. An updated selection of vignettes, case scenarios, and institutional examples help you apply theory to practice, and end-of-chapter reflection questions allow you to test your understanding and probe deeper into the material and how it applies to your environment. Campus design is no longer just about grassy quads and ivy-covered walls—the past decade has seen a surge in new designs that facilitate learning and nurture student development. This book introduces you to the many design factors that impact student success, and helps you develop a solid strategy for implementing the changes that can make the biggest difference to your campus. Learn how environments shape and influence student behavior Evaluate your campus and consider the potential for change Make your spaces more welcoming, inclusive, and functional Organize the design process from research to policy implementation Colleges and universities are institutions of purpose and place, and the physical design of the facilities must be undertaken with attention to the ways in which the space's dimensions and features impact the behavior and outlook of everyone from students to faculty to staff. Designing for Learning gives you a greater understanding of modern campus design, and the practical application that brings theory to life.
What could be more important to college and university faculty than teaching well? Indeed, in the past several years researchers have not only investigated key variables influencing teaching and learning, they also have applied empirical findings to develop and refine new systems of teaching and learning—approaches that provide the infrastructure for the day-to-day organization and assessment of student learning over the course of an academic term. This volume presents an overview of these systems and offers an assessment of the effectiveness of each relative to both student learning and enjoyment of the learning process. Written by leading teaching scholars, these systems include the lecture, problem-based learning, case studies, team-based learning, interteaching, service-learning, just-in-time teaching, Web-based computer-aided personalized instruction, and online teaching. Each contributor outlines the basic principles of a system, describes how to implement the system, and reviews the system’s overall effectiveness. This is the 128th volume of the Jossey-Bass higher education quarterly report New Directions for Teaching and Learning, which offers a comprehensive range of ideas and techniques for improving college teaching based on the experience of seasoned instructors and the latest findings of educational and psychological researchers.
This book is dedicated to the formulation and solution of forward and inverse problems related to coupled media, and provides examples of how to solve concrete problems in environmental remote sensing of coupled atmosphere-surface systems. The authors discuss radiative transfer in coupled media such as the atmosphere-ocean system with Lambertian as well non-Lambertian reflecting surfaces at the lower boundary. The spectral range from the ultraviolet to the microwave region of the electromagnetic spectrum is considered, as are multi-spectral as well as hyperspectral remote sensing, while solutions of the forward problem for unpolarized and polarized radiation are discussed in detail.
This state-of-the-art resource brings together the most innovative scholars and thinkers in the field of testing to capture the changing conceptual, methodological, and applied landscape of cognitively-grounded educational assessments. Offers a methodologically-rigorous review of cognitive and learning sciences models for testing purposes, as well as the latest statistical and technological know-how for designing, scoring, and interpreting results Written by an international team of contributors at the cutting-edge of cognitive psychology and educational measurement under the editorship of a research director at the Educational Testing Service and an esteemed professor of educational psychology at the University of Alberta as well as supported by an expert advisory board Covers conceptual frameworks, modern methodologies, and applied topics, in a style and at a level of technical detail that will appeal to a wide range of readers from both applied and scientific backgrounds Considers emerging topics in cognitively-grounded assessment, including applications of emerging socio-cognitive models, cognitive models for human and automated scoring, and various innovative virtual performance assessments
With the increase in the international student population, student affairs professionals need a deeper understanding of the challenges and benefits of globalizing a campus. This volume: Examines how student affairs professionals and their campus partners might welcome diverse populations of international students. Provides strategies for enhancing interactions between international and domestic students, as well as the greater campus community. Offers innovative, culturally competent approaches to working with international students. Shares ways to inclusively and effectively educate and support international students to succeed on campuses in the USA. Shares examples of innovative programs designed to increase cultural competence and be more inclusive of international students both inside and outside the classroom. This sourcebook explores the various ways international students in the United States strengthen our country and campus communities, further citizen diplomacy, increase intercultural competency skills, and develop more global mindsets. This is the 158th volume of this Jossey-Bass higher education quarterly series. An indispensable resource for vice presidents of student affairs, deans of students, student counselors, and other student services professionals, New Directions for Student Services offers guidelines and programs for aiding students in their total development: emotional, social, physical, and intellectual.