Author | Berinde, Vasile. author |
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Title | Exploring, Investigating and Discovering in Mathematics [electronic resource] / by Vasile Berinde |
Imprint | Basel : Birkhรคuser Basel : Imprint: Birkhรคuser, 2004 |
Connect to | http://dx.doi.org/10.1007/978-3-0348-7889-0 |
Descript | XIX, 246 p. 2 illus. online resource |
Preface Introduction -- 1 Chase problems -- 2 Sequences of Integers Simultaneously Prime -- 3 A Geometric Construction Using Ruler and Compass -- 4 Solving a Class of Nonlinear Systems -- 5 A Class of Homogenous Inequalities -- 6 The First Decimal of Some Irrational Numbers -- 7 Polynomial Approximation of Continuous Functions -- 8 On an Interesting Divisibility Problem -- 9 Determinants with Alternate Entries -- 10 Solving Some Cyclic Systems -- 11 On a Property of Recurrent Affine Sequences -- 12 Binomial Characterizations of Arithmetic Progressions -- 13 Using Duality in Studying Homographic Recurrences -- 14 Exponential Equations Having Exactly Two Solutions -- 15 A Class of Functional Equations -- 16 An Extension of the Leibniz-Newton Formula -- 17 A Measurement Problem -- 18 A Class of Discontinuous Functions Admitting Primitives -- 19 On Two Classes of Inequalities -- 20 Another Problem of Geometric Construction -- 21 How Can We Discover New Problems by Means of the Computer -- 22 On the Convergence of Some Sequences of Real Numbers -- 23 An Application of the Integral Mean -- 24 Difference and Differential Equations -- Addendum