04643nam0 22006973i 450 VAN0026804820260630084222.471N978146159990679771634820231128d1977 |0itac50 baengUS|||| |||||i e bcrˆA ‰first course in real analysisMurray H. Protter, Charles B. Morrey, JrNew YorkSpringer-Verlag1977xii, 507 p.ill.25 cmThe first course in analysis which follows elementary calculus is a critical one for students who are seriously interested in mathematics. Traditional advanced calculus was precisely what its name indicates-a course with topics in calculus emphasizing problem solving rather than theory. As a result students were often given a misleading impression of what mathematics is all about; on the other hand the current approach, with its emphasis on theory, gives the student insight in the fundamentals of analysis. In A First Course in Real Analysis we present a theoretical basis of analysis which is suitable for students who have just completed a course in elementary calculus. Since the sixteen chapters contain more than enough analysis for a one year course, the instructor teaching a one or two quarter or a one semester junior level course should easily find those topics which he or she thinks students should have. The first Chapter, on the real number system, serves two purposes. Because most students entering this course have had no experience in devising proofs of theorems, it provides an opportunity to develop facility in theorem proving. Although the elementary processes of numbers are familiar to most students, greater understanding of these processes is acquired by those who work the problems in Chapter 1. As a second purpose, we provide, for those instructors who wish to give a comprehen­ sive course in analysis, a fairly complete treatment of the real number system including a section on mathematical induction.001VAN000240192001 Undergraduate texts in mathematics210 Berlin [etc.]Springer1958-VAN00301966ˆA ‰first course in real analysis8302126-XXReal functions [MSC 2020]VANC019778MF26A15Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable [MSC 2020]VANC024614MF26A45Functions of bounded variation, generalizations [MSC 2020]VANC022019MF26B05Continuity and differentiation questions [MSC 2020]VANC024647MF26B12Calculus of vector functions [MSC 2020]VANC023343MFAnalysisKW:KBoundary Element MethodsKW:KCalculusKW:KDifferential calculusKW:KImprintKW:KIntegral calculusKW:KMathematicsKW:KProblem SolvingKW:KProvingKW:KReal analysisKW:KReal numbersKW:KSystemsKW:KTheorem provingKW:KUSNew YorkVANL000011ProtterMurray H.VANV01954440750MorreyCharles B.jr.VANV01954529283Springer <editore>VANV108073650Protter, Murray HaroldProtter, Murray H.VANV259444Protter, M. H.Protter, Murray H.VANV259445Protter, M.H.Protter, Murray H.VANV259446Morrey, C. B.Morrey, Charles B. <jr.>VANV256070Morrey, C.B.Morrey, Charles B. <jr.>VANV256071Morrey, Charles BradfieldMorrey, Charles B. <jr.>VANV256072Morrey, C.B. <jr.>Morrey, Charles B. <jr.>VANV259449Morrey, Charles Bradfield <jr.>Morrey, Charles B. <jr.>VANV259447Morrey, C. B. <jr.>Morrey, Charles B. <jr.>VANV259448ITSOL20260911RICAhttps://doi.org/10.1007/978-1-4615-9990-6E-book – Accesso al full-text attraverso riconoscimento IP di Ateneo, proxy e/o ShibbolethBIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICAIT-CE0120VAN08NVAN00268048BIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICA08DLOAD e-book 7361 08eMF7361 20231204 First course in real analysis83021UNICAMPANIA