Jan Myland – författare

koldham@trentu.ca,jmyland@trentu.caorjspanier@uci.edu.AnErrataofknownerrorsandrevisionswillbefound on the publisher's website; please access www.springer.com/978-0-387-48806-6 and follow the links. This will be updated as and if new errors are detected or clarifications are found to be needed. Use of the Atlas of Functions or Equator, the Atlas function calculator is at your own risk. The authors and the publisher disclaim liability for any direct or consequential damage resulting from use of the Atlas or Equator. It is a pleasure to express our gratitude to Michelle Johnston, Sten Engblom, and Trevor Mace-Brickman for theirhelpinthecreationoftheAtlasandEquator. Thefrankcommentsofseveralreviewerswhoinspectedanearly versionofthemanuscripthavealsobeenofgreatvalue. WegivesincerethankstoSpringer,andparticularlytoAnn KostantandOonaSchmid,fortheircommitmenttothelengthytaskofcarryingtheconceptofAnAtlasofFunctions through to reality with thoroughness, enthusiasm, skill, and even some humor. Their forbearance in dealing with the authors is particularly appreciated. WehopeyouwillenjoyusingAnAtlasofFunctionsandEquator,andthattheywillprovehelpfulinyourwork or studies. January 2008 Keith B.Oldham Jan C. Myland Jerome Spanier Every chapter has sections devoted to: notation, behavior, definitions, special cases, intrarelationships, expansions, particular values, numerical values, limits and approximations, operations of the calculus, complex argument, generalizations, and cognate functions. In addition, each chapter has the special features itemized below its title. PREFACE v GENERAL CONSIDERATIONS 1 What functions are. Organization of the Atlas. Notational conventions. Rules of the calculus. THE CONSTANT FUNCTION c 13 Mathematical constants. Complex numbers. Pulse functions. Series of powers of natural numbers. THE FACTORIAL FUNCTION n!21 Double and triple factorial functions. Combinatorics. Stirling numbers of the second kind. THE ZETA NUMBERS AND RELATED FUNCTIONS 29 Special values. Apery's constant. The Debye functions of classical physics.

Electrochemistry is a discipline of wide scientific and technological interest. Scientifically, it explores the electrical properties of materials and especially the interfaces between different kinds of matter. Technologically, electrochemistry touches our lives in many ways that few fully appreciate; for example, materials as diverse as aluminum, nylon, and bleach are manufactured electrochemically, while the batteries that power all manner of appliances, vehicles, and devices are the products of electrochemical research.  Other realms in which electrochemical science plays a crucial role include corrosion, the disinfection of water, neurophysiology, sensors, energy storage, semiconductors, the physics of thunderstorms, biomedical analysis, and so on. This book treats electrochemistry as a science in its own right, albeit resting firmly on foundations provided by chemistry, physics, and mathematics. Early chapters discuss the electrical and chemical properties of materials from which electrochemical cells are constructed. The behavior of such cells is addressed in later chapters, with emphasis on the electrodes and the reactions that occur on their surfaces. The role of transport to and from electrodes is a topic that commands attention, because it crucially determines cell efficiency. Final chapters deal with voltammetry, the methodology used to investigate electrode behavior. Interspersed among the more fundamental chapters are chapters devoted to applications of electrochemistry: electrosynthesis, power sources, “green electrochemistry”, and corrosion.Electrochemical Science and Technology is addressed to all who have a need to come to grips with the fundamentals of electrochemistry and to learn about some of its applications. It will constitute a text for a senior undergraduate or graduate course in electrochemistry. It also serves as a source of material of interest to scientists and technologists in various fields throughout academia, industry, and government – chemists, physicists, engineers, environmentalists, materials scientists, biologists, and those in related endeavors.This book: Provides a background to electrochemistry, as well as treating the topic itself.Is accessible to all with a foundation in physical science, not solely to chemists.Is addressed both to students and those later in their careers.Features web links (through http://www.wiley.com/go/EST to extensive material that is of a more tangential, specialized, or mathematical nature.Includes questions as footnotes to support the reader’s evolving comprehension of the material, with fully worked answers provided on the web.Provides web access to Excel® spreadsheets which allow the reader to model electrochemical events.Has a copious Appendix of relevant data.

Electrochemistry is a discipline of wide scientific and technological interest. Scientifically, it explores the electrical properties of materials and especially the interfaces between different kinds of matter. Technologically, electrochemistry touches our lives in many ways that few fully appreciate; for example, materials as diverse as aluminum, nylon, and bleach are manufactured electrochemically, while the batteries that power all manner of appliances, vehicles, and devices are the products of electrochemical research.  Other realms in which electrochemical science plays a crucial role include corrosion, the disinfection of water, neurophysiology, sensors, energy storage, semiconductors, the physics of thunderstorms, biomedical analysis, and so on. This book treats electrochemistry as a science in its own right, albeit resting firmly on foundations provided by chemistry, physics, and mathematics. Early chapters discuss the electrical and chemical properties of materials from which electrochemical cells are constructed. The behavior of such cells is addressed in later chapters, with emphasis on the electrodes and the reactions that occur on their surfaces. The role of transport to and from electrodes is a topic that commands attention, because it crucially determines cell efficiency. Final chapters deal with voltammetry, the methodology used to investigate electrode behavior. Interspersed among the more fundamental chapters are chapters devoted to applications of electrochemistry: electrosynthesis, power sources, “green electrochemistry”, and corrosion.Electrochemical Science and Technology is addressed to all who have a need to come to grips with the fundamentals of electrochemistry and to learn about some of its applications. It will constitute a text for a senior undergraduate or graduate course in electrochemistry. It also serves as a source of material of interest to scientists and technologists in various fields throughout academia, industry, and government – chemists, physicists, engineers, environmentalists, materials scientists, biologists, and those in related endeavors.This book: Provides a background to electrochemistry, as well as treating the topic itself.Is accessible to all with a foundation in physical science, not solely to chemists.Is addressed both to students and those later in their careers.Features web links (through http://www.wiley.com/go/EST to extensive material that is of a more tangential, specialized, or mathematical nature.Includes questions as footnotes to support the reader’s evolving comprehension of the material, with fully worked answers provided on the web.Provides web access to Excel® spreadsheets which allow the reader to model electrochemical events.Has a copious Appendix of relevant data.