03358nam0 22005173i 450 VAN0026861720260910121615.0N978146125498080017736220231207d1983 |0itac50 baengUS|||| |||||i e bcrProblem-solving through problemsLoren C. LarsonNew YorkSpringer1983xi, 332 p. ill.24 cmThe purpose of this book is to isolate and draw attention to the most important problem-solving techniques typically encountered in undergradu­ ate mathematics and to illustrate their use by interesting examples and problems not easily found in other sources. Each section features a single idea, the power and versatility of which is demonstrated in the examples and reinforced in the problems. The book serves as an introduction and guide to the problems literature (e.g., as found in the problems sections of undergraduate mathematics journals) and as an easily accessed reference of essential knowledge for students and teachers of mathematics. The book is both an anthology of problems and a manual of instruction. It contains over 700 problems, over one-third of which are worked in detail. Each problem is chosen for its natural appeal and beauty, but primarily to provide the context for illustrating a given problem-solving method. The aim throughout is to show how a basic set of simple techniques can be applied in diverse ways to solve an enormous variety of problems. Whenever possible, problems within sections are chosen to cut across expected course boundaries and to thereby strengthen the evidence that a single intuition is capable of broad application. Each section concludes with "Additional Examples" that point to other contexts where the technique is appropriate.001VAN000235822001 Problem books in mathematics210 New York [etc.]Springer1981-VAN00304457Problem-solving through problems92438400A07Problem books [MSC 2020]VANC021527MFArithmeticKW:KBlack InequalityKW:KCalculusKW:KCauchy-Black InequalityKW:KDerivativesKW:KDivisionsKW:KFundamental theoremsKW:KMean value theoremKW:KProblem SolvingKW:KUSNew YorkVANL000011LarsonLoren C.VANV04227848500Springer <editore>VANV108073650Larson, L.C.Larson, Loren C.VANV233967Larson, L. C.Larson, Loren C.VANV233968Larson, Loren CharlesLarson, Loren C.VANV262403ITSOL20260911RICAhttps://doi.org/10.1007/978-1-4612-5498-0E-book – Accesso al full-text attraverso riconoscimento IP di Ateneo, proxy e/o ShibbolethBIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICAIT-CE0120VAN08NVAN00268617BIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICA08DLOAD e-book 7629 08eMF7629 20231211 Problem-Solving through problems924384UNICAMPANIA