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[null,"1.","Record Nr.",null,"UNISA996387099303316"]
[null,null,"Titolo",null,"A Most straunge and wounderfull accident happened at Weersburch by Franckford, by a most fearefull earthquake and daknesse [sic], with a mighty tempest of thunder and lightning [[electronic resource] ] : also a most dreadfull embassage vttered to the governour of that Cittie, by three straunge children which were found in a wood, threatning destruction to that countrie, and to all christendome"]
[null,null,"Pubbl/distr/stampa",null,"London, : Printed by William Barley, and are to bee sold at his shop in Gracious streete, 1600"]
[null,null,"Descrizione fisica",null,"[2], 10 p., [2] leaves of plates : ill"]
[null,null,"Soggetti",null,"Disasters - Germany - Religious aspects"]
[{"$nulls":4},"Omens"]
[{"$nulls":4},"Earthquakes - Germany"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Illustration consists of two copies of the same  plate."]
[{"$nulls":4},"Signatures: A-B⁴."]
[{"$nulls":4},"Reproduction of original in the Harvard University Library."]
[null,null,null,"Sommario/riassunto","eebo-0062"]
[null,"2.","Record Nr.",null,"UNINA9910300099003321"]
[null,null,"Autore",null,"Ghorpade Sudhir R"]
[null,null,"Titolo",null,"A Course in Calculus and Real Analysis / / by Sudhir R. Ghorpade, Balmohan V. Limaye"]
[null,null,"Pubbl/distr/stampa",null,"Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018"]
[null,null,"ISBN",null,"9783030014001"]
[{"$nulls":4},"3030014002"]
[null,null,"Edizione",null,"[2nd ed. 2018.]"]
[null,null,"Descrizione fisica",null,"1 online resource (IX, 538 p.)"]
[null,null,"Collana",null,"Undergraduate Texts in Mathematics, , 2197-5604"]
[null,null,"Disciplina",null,"515"]
[null,null,"Soggetti",null,"Mathematical analysis"]
[{"$nulls":4},"Functions of real variables"]
[{"$nulls":4},"Sequences (Mathematics)"]
[{"$nulls":4},"Integral Transforms and Operational Calculus"]
[{"$nulls":4},"Real Functions"]
[{"$nulls":4},"Sequences, Series, Summability"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,"Nota di contenuto",null,"1. Numbers and Functions -- 2. Sequences -- 3. Continuity and Limits -- 4. Differentiation -- 5. Applications of Differentiation -- 6. Integration -- 7. Elementary Transcendental Functions -- 8. Applications and Approximations of Riemann Integrals -- 9. Infinite Series and Improper Integrals -- 10. Sequences and Series of Functions, Integrals Depending on a Parameter -- A. Construction of the Real Numbers -- B. Fundamental Theorem of Algebra -- References -- List of Symbols and Abbreviations -- Index."]
[null,null,null,"Sommario/riassunto","Offering a unified exposition of calculus and classical real analysis, this textbook presents a meticulous introduction to single‐variable calculus. Throughout, the exposition makes a distinction between the intrinsic geometric definition of a notion and its analytic characterization, establishing firm foundations for topics often encountered earlier without proof. Each chapter contains numerous examples and a large selection of exercises, as well as a “Notes and Comments” section, which highlights distinctive features of the exposition and provides additional references to relevant literature. This second edition contains substantial revisions and additions, including several simplified proofs, new sections, and new and revised figures and "]
[{"$nulls":4},"exercises. A new chapter discusses sequences and series of real‐valued functions of a real variable, and their continuous counterpart: improper integrals depending on a parameter. Two new appendices cover a construction of the real numbers using Cauchy sequences, and a self‐contained proof of the Fundamental Theorem of Algebra. In addition to the usual prerequisites for a first course in single‐variable calculus, the reader should possess some mathematical maturity and an ability to understand and appreciate proofs. This textbook can be used for a rigorous undergraduate course in calculus, or as a supplement to a later course in real analysis. The authors’ A Course in Multivariable Calculus is an ideal companion volume, offering a natural extension of the approach developed here to the multivariable setting. From reviews: [The first edition is] a rigorous, well-presented and original introduction to the core of undergraduate mathematics — first-year calculus. It develops this subject carefully from a foundation of high-school algebra, with interesting improvements and insights rarely found in other books. […] This book is a tour de force, and a necessary addition to thelibrary of anyone involved in teaching calculus, or studying it seriously. N.J. Wildberger, Aust. Math. Soc. Gaz."]