{"title":"Keith B Oldham","description":null,"products":[{"product_id":"equator-a-function-calculator-cd-9780387097732","title":"Equator","description":"This software package generates numerical values of nearly 200 mathematical functions and function families, ranging from sines and cosines to Bessel functions and elliptic integrals. It complements the second edition of An Atlas of Functions.","brand":"WoB","offers":[{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":49909827961105,"sku":"CIN0387097732VG","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0387097732.jpg?v=1750813437"},{"product_id":"the-fractional-calculus-book-keith-b-oldham-9780486450018","title":"The Fractional Calculus","description":"The product of a collaboration between a mathematician and a chemist, this text is geared toward advanced undergraduates and graduate students. Not only does it explain the theory underlying the properties of the generalized operator, but it also illustrates the wide variety of fields to which these ideas may be applied. Rather than an exhaustive treatment, it represents an introduction that will appeal to a broad spectrum of students. Accordingly, the mathematics is kept as simple as possible.\u003cbr\u003eThe first of the two-part treatment deals principally with the general properties of differintegral operators. The second half is mainly oriented toward the applications of these properties to mathematical and other problems. Topics include integer order, simple and complex functions, semiderivatives and semi-integrals, and transcendental functions. The text concludes with overviews of applications in the classical calculus and diffusion problems.","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51002881605905,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":51002885538065,"sku":"NIN9780486450018","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ GOOD \/ SBYB","offer_id":51461531271441,"sku":"CIN0486450015G","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ GOOD \/ INTERNAL","offer_id":51769126093073,"sku":"GOR012681647","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":51769833947409,"sku":"GOR012702014","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":53135959982353,"sku":"CIN0486450015VG","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0486450015.jpg?v=1751007250"},{"product_id":"atlas-of-functions-book-keith-b-oldham-9780387488066","title":"An Atlas of Functions","description":"This book comprehensively covers several hundred functions or function families. In chapters that progress by degree of complexity, it starts with simple, integer-valued functions then moves on to polynomials, Bessel, hypergeometric and hundreds more.","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51331878027537,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":51331881173265,"sku":"CIN0387488065VG","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ GARDNERS","offer_id":52500860403985,"sku":"NGR9780387488066","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/B01CMUOGD2.jpg?v=1751260073"},{"product_id":"atlas-of-functions-book-keith-b-oldham-9781493950584","title":"An Atlas of Functions","description":"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.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52589666828561,"sku":"NLS9781493950584","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":52750731641105,"sku":"NIN9781493950584","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9781493950584.jpg?v=1761060522"}],"url":"https:\/\/www.worldofbooks.com\/en-gb\/collections\/author-books-by-keith-b-oldham.oembed","provider":"World of Books ","version":"1.0","type":"link"}