This book provides a broad yet comprehensive introduction to the analysis of harmonic maps and their heat flows. The first part of the book contains many important theorems on the regularity of ...minimizing harmonic maps by Schoen–Uhlenbeck, stationary harmonic maps between Riemannian manifolds in higher dimensions by Evans and Bethuel, and weakly harmonic maps from Riemannian surfaces by Helein, as well as on the structure of a singular set of minimizing harmonic maps and stationary harmonic maps by Simon and Lin.
This study is based on research on secondary textbook and school library provision in Botswana, Cameroon, Cote dIvoire, Ghana, Kenya, Malawi, Rwanda, Tanzania, and Togo, as well as existing recent ...country reports on textbook provision and an extensive desk research. Considerable variations exist in Sub-Saharan African textbook requirements needed to meet secondary curriculum specifications just as significant differences exist between and within countries in regard to the average price of recommended textbooks. Some countries have no approved textbooks list. This study aims to discuss the textbook situation in Sub-Saharan Africa with a special focus on secondary textbook availability, cost and financing, distribution and publishing, as well as, the status of school libraries. Its objective is to analyze the issues in secondary textbook and school library provision and to provide some options and strategies for improvement.
This volume explores Nordic textbooks chronologically and empirically from the Protestant reformation to our own time. The chapters are written by scholars from Finland, Denmark, Sweden, and Norway, ...and deploy a wide range of methods, representing different academic fields.
Thermal quantum field theory Khanna, Faqir C; Khanna, Faqir C; Malbouisson, Adolfo P. C ...
2009., 2009, 2009-02-06
eBook
This monograph presents recent developments in quantum field theory at finite temperature. By using Lie groups, ideas from thermal theory are considered with concepts of symmetry, allowing for ...applications not only to quantum field theory but also to transport theory, quantum optics and statistical mechanics. This includes an analysis of geometrical and topological aspects of spatially confined systems with applications to the Casimir effect, superconductivity and phase transitions. Finally, some developments in open systems are also considered. The book provides a unified picture of the fundamental aspects in thermal quantum field theory and their applications, and is important to the field as a result, since it combines several diverse ideas that lead to a better understanding of different areas of physics.
Background: The 3500-kcal rule, though often overly simplistic, is used to linearly predict weight or adipose change in clinical or research settings. We sampled textbooks to assess how quantitative ...energy balance models (QEBM) are taught, emphasizing the 3500-kcal rule. Methods: Top 15 Amazon best-selling textbooks in nutrition, diet therapy, preventive medicine, physiology, and physical therapy were identified resulting in 53 unique recent editions. QEBM text was identified and extracted via manually reviewing weight-or energy-balance- related sections and keyword searching in hardcopy-and e-textbooks. Ten books were piloted for text extraction and double coded via a semi-structured coding template. QEBMs (e.g., 3500-kcal rule) were compared to the validated NIDDK body weight planner (BWP) and the Weight Loss Predictor Calculator by Pennington Biomedical Research Center (PBRC) for the average 30 y.o. adult American female (63.5"; 170.8 lbs) and male (69.0"; 199.8 lbs) from NCHS. Results: We developed 16 coding items, including energy amount; amount and time of weight change; positive/negative QEBM; whether predicting body weight (BW)/fat mass/adipose tissue; approximate/exact predictions; and whether the text prominently acknowledged weight change complexity. Six of 10 piloted textbooks included QEBMs, five of which proposed a 3500-kcal based equation to change BW; specifically, lowering caloric intake by 200-1000 kcal/d to lose 0.4-2 Ibs BW/wk. Four of six models presented approximate changes; three of six acknowledged physiological complexity. Compared to BWP and PBRC, the 3500-kcal rule underestimated energy deficits required to lose weight in relatively longer durations (e.g., at 500 kcal/d deficit for 180 days, 3500-kcal rule predicts 26 Ibs loss in the average male, while BWP and PBRC predict 18.2 and 14.8 Ibs, respectively). We identified at least five other textbooks mentioning the 3500-kcal rule through digital previews; extraction of texts is ongoing. Conclusions: Our pilot sample of top-selling textbooks suggests despite availability of more sophisticated-yet-accessible web-based tools to estimate weight change dynamics, the 3500-kcal rule continues to be a basis for energy balance education.
The functional equation of associativity is the topic of Abel's first contribution to Crelle's Journal. Seventy years later, it was featured as the second part of Hilbert's Fifth Problem, and it was ...solved under successively weaker hypotheses by Brouwer (1909), Cartan (1930) and Aczel (1949). In 1958, B Schweizer and A Sklar showed that the “triangular norms” introduced by Menger in his definition of a probabilistic metric space should be associative; and in their book Probabilistic Metric Spaces, they presented the basic properties of such triangular norms and the closely related copulas. Since then, the study of these two classes of functions has been evolving at an ever-increasing pace and the results have been applied in fields such as statistics, information theory, fuzzy set theory, multi-valued and quantum logic, hydrology, and economics, in particular, risk analysis. This book presents the foundations of the subject of associative functions on real intervals. It brings together results that have been widely scattered in the literature and adds much new material. In the process, virtually all the standard techniques for solving functional equations in one and several variables come into play. Thus, the book can serve as an advanced undergraduate or graduate text on functional equations.
A continuation of the author's previous book “An Introduction to the Theory of Piezoelectricity” (Springer, New York, 2005) on the three-dimensional theory of piezoelectricity, this volume covers ...lower dimensional theories for various piezoelectric structures and device applications. The development of two-, one- and zero-dimensional theories for high frequency vibrations of piezoelectric plates, shells, beams, rings curved bars and parallelepipeds is systematically presented. In addition to linear piezoelectricity, certain nonlinear effects are also considered and examples for device applications are provided. The material emphasizes dynamic theories and high frequency motions as well as device applications as there are relatively few books on piezoelectric structures, especially for high frequency theories. The volume is destined to be one of the most systematic and comprehensive books on piezoelectric structures.
Unlike most introductory texts that take a topical approach to studying sociology, this smart, challenging, and accessibly written text looks at the core principles of the discipline, making links to ...a contemporary context.
The second edition of this award-winning book has been substantially revised, making more direct connections between Generation Z, Mills’s concept of the sociological imagination, and the challenges students face in higher education today. The section on popular culture contains a new chapter on the history of popular music from early rock ’n’ roll to contemporary pop and R&B. New chapter objectives, end-of-chapter review and reflection questions, key terms, and glossary, as well as an instructor’s manual, make this text much more useful in the classroom.
The revised and expanded text on food fermentation microbiology With this second edition of Microbiology and Technology of Fermented Foods, Robert Hutkins brings fresh perspectives and updated ...content to his exhaustive and engaging text on food fermentations. The text covers all major fermented foods, devoting chapters to fermented dairy, meat, and vegetable products, as well breads, beers, wines, vinegars, and soy foods. These insights are enhanced by detailed explanations of the microbiological and biochemical processes that underpin fermentation, while an account of its fascinating history provides readers with richly contextualizing background knowledge. New to this edition are two additional chapters. One discusses the role that fermentation plays in the production of spirits and other distilled beverages, whereas another focuses on cocoa, coffee, and fermented cereal products. Furthermore, key chapters on microorganisms and metabolism have been expanded and elaborated upon, and are complemented by other relevant revisions and additions made throughout the book, ensuring that it is as up-to-date and applicable as possible. This essential text includes: Discussions of major fermented foods from across the globe Background information on the science and history behind food fermentation Information on relevant industrial processes, technologies, and scientific discoveries Two new chapters covering distilled spirits and cocoa, coffee, and cereal products Expanded chapters on microorganisms and metabolism Microbiology and Technology of Fermented Foods, Second Edition is a definitive reference tool that will be of great interest and use to industry professionals, academics, established or aspiring food scientists, and anyone else working with fermented foods.
