{"product_id":"nonstandard-analysis-dover-books-on-mathematics","title":"Nonstandard Analysis (Dover Books on Mathematics)","description":"\u003cp data-start=\"64\" data-end=\"81\"\u003e\u003cstrong data-start=\"64\" data-end=\"81\"\u003eBook Details:\u003c\/strong\u003e\u003c\/p\u003e\n\u003cul data-start=\"82\" data-end=\"295\"\u003e\n\u003cli data-start=\"82\" data-end=\"113\"\u003e\n\u003cp data-start=\"84\" data-end=\"113\"\u003e\u003cstrong data-start=\"84\" data-end=\"95\"\u003eAuthor:\u003c\/strong\u003e Alain M. Robert\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"114\" data-end=\"138\"\u003e\n\u003cp data-start=\"116\" data-end=\"138\"\u003e\u003cstrong data-start=\"116\" data-end=\"130\"\u003ePublisher:\u003c\/strong\u003e Dover\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"139\" data-end=\"165\"\u003e\n\u003cp data-start=\"141\" data-end=\"165\"\u003e\u003cstrong data-start=\"141\" data-end=\"153\"\u003eBinding:\u003c\/strong\u003e Paperback\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"166\" data-end=\"194\"\u003e\n\u003cp data-start=\"168\" data-end=\"194\"\u003e\u003cstrong data-start=\"168\" data-end=\"188\"\u003eNumber of Pages:\u003c\/strong\u003e 176\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"195\" data-end=\"225\"\u003e\n\u003cp data-start=\"197\" data-end=\"225\"\u003e\u003cstrong data-start=\"197\" data-end=\"209\"\u003eISBN-13:\u003c\/strong\u003e 0800759432790\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"226\" data-end=\"252\"\u003e\n\u003cp data-start=\"228\" data-end=\"252\"\u003e\u003cstrong data-start=\"228\" data-end=\"242\"\u003eLanguages:\u003c\/strong\u003e English\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"253\" data-end=\"295\"\u003e\n\u003cp data-start=\"255\" data-end=\"295\"\u003e\u003cstrong data-start=\"255\" data-end=\"270\"\u003eDimensions:\u003c\/strong\u003e 9.0 x 5.9 x 0.5 inches\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cp data-start=\"297\" data-end=\"879\"\u003e\u003cstrong data-start=\"297\" data-end=\"316\"\u003eAbout The Book:\u003c\/strong\u003e\u003cbr data-start=\"316\" data-end=\"319\"\u003e\u003cem data-start=\"319\" data-end=\"341\"\u003eNonstandard Analysis\u003c\/em\u003e by Alain M. Robert is a brilliant and concise introduction to the world of nonstandard analysis (NSA). Written with clarity and wit, this book is designed to bring a complete change in how NSA is taught, making it both accessible and engaging. The author succeeds in presenting complex mathematical concepts in a way that is simple, deep, and insightful—qualities that are rarely seen in educational literature. As praised by J.-M. Lévy-Leblond in the \u003cem data-start=\"794\" data-end=\"823\"\u003eEuropean Journal of Physics\u003c\/em\u003e, this book represents mathematics teaching at its best.\u003c\/p\u003e\n\u003cp data-start=\"881\" data-end=\"1104\"\u003eThis book introduces NSA through the axiomatic IST (internal set theory) approach, presenting the theory in a structured, rigorous manner. The two-part treatment begins with a clear exposition of theoretical topics such as:\u003c\/p\u003e\n\u003cul data-start=\"1105\" data-end=\"1238\"\u003e\n\u003cli data-start=\"1105\" data-end=\"1150\"\u003e\n\u003cp data-start=\"1107\" data-end=\"1150\"\u003eIdealization, standardization, and transfer\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"1151\" data-end=\"1189\"\u003e\n\u003cp data-start=\"1153\" data-end=\"1189\"\u003eReal numbers and numerical functions\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"1190\" data-end=\"1238\"\u003e\n\u003cp data-start=\"1192\" data-end=\"1238\"\u003eContinuity, differentiability, and integration\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cp data-start=\"1240\" data-end=\"1297\"\u003eThe second part covers practical applications, including:\u003c\/p\u003e\n\u003cul data-start=\"1298\" data-end=\"1437\"\u003e\n\u003cli data-start=\"1298\" data-end=\"1315\"\u003e\n\u003cp data-start=\"1300\" data-end=\"1315\"\u003eInvariant means\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"1316\" data-end=\"1344\"\u003e\n\u003cp data-start=\"1318\" data-end=\"1344\"\u003eApproximation of functions\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"1345\" data-end=\"1369\"\u003e\n\u003cp data-start=\"1347\" data-end=\"1369\"\u003eDifferential equations\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"1370\" data-end=\"1404\"\u003e\n\u003cp data-start=\"1372\" data-end=\"1404\"\u003ePerturbation of a Green function\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"1405\" data-end=\"1437\"\u003e\n\u003cp data-start=\"1407\" data-end=\"1437\"\u003eAn invariant subspaces problem\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cp data-start=\"1439\" data-end=\"1776\"\u003eExercises at the end of each chapter, along with hints and full solutions, allow readers to deepen their understanding of the material. Whether you are a student or a professional, \u003cem data-start=\"1620\" data-end=\"1642\"\u003eNonstandard Analysis\u003c\/em\u003e equips you with a solid foundation in this advanced area of mathematics, making it a valuable resource for learning and teaching NSA.\u003c\/p\u003e","brand":"Dover","offers":[{"title":"Default Title","offer_id":49937720967472,"sku":"Sarat_9780486432793","price":1209.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0690\/9968\/4144\/files\/dover-book-default-title-nonstandard-analysis-dover-books-on-mathematics-41280506102064.jpg?v=1775941935","url":"https:\/\/www.retailmaharaj.com\/products\/nonstandard-analysis-dover-books-on-mathematics","provider":"Retail Maharaj","version":"1.0","type":"link"}