000 02800cam a2200337 i 4500
001 22679470
003 OSt
005 20240826154112.0
008 220702s2023 njua b 001 0 eng
010 _a 2022024371
020 _a9789811261046
_q(hardcover)
040 _aLBSOR/DLC
_beng
_erda
_cDLC
_dDLC
042 _apcc
050 0 0 _aQ327
_b.R129 2023
082 0 0 _a516/.15
_223/eng20220825
100 1 _aRadin, Michael A.
_q(Michael Alexander),
_eauthor.
245 1 0 _aAnalyzing Mathematical Patterns--Detection & Formulation :
_binductive approach to recognition, analysis and formulations of patterns /
_cMichael A. Radin.
264 1 _aNew Jersey:
_bWorld Scientific Publishing,
_c2023.
300 _axiii, 237 pages :
_billustrations ;
_c23 cm.
336 _atext
_btxt
_2rdacontent
337 _aunmediated
_bn
_2rdamedia
338 _avolume
_bnc
_2rdacarrier
504 _aIncludes bibliographical references (page 231) and index.
520 _a"The book's objectives are to expose students to analyzing and formulating various patterns such as linear, quadratic, geometric, piecewise, alternating, summation-type, product-type, recursive and periodic patterns. The book will present various patterns graphically and analytically and show the connections between them. Graphical presentations include patterns at same scale, patterns at diminishing scale and alternating patterns. The book's goals are to train and expand students' analytical skills by presenting numerous repetitive-type problems that will lead to formulating results inductively and to the proof by induction method. These will start with formulating basic sequences and piecewise functions and transition to properties of Pascal's Triangle that are horizontally and diagonally oriented and formulating solutions to recursive sequences. The book will start with relatively straight forward problems and gradually transition to more challenging problems and open-ended research questions. The book's aims are to prepare students to establish a base of recognition and formulation of patterns that will navigate to study further mathematics such as Calculus, Discrete Mathematics, Matrix Algebra, Abstract Algebra, Difference Equations, and to potential research projects. The primary aims out of all are to make mathematics accessible and multidisciplinary for students with different backgrounds and from various disciplines"--
_cProvided by publisher.
650 0 _aPattern perception
_xMathematics.
650 0 _aSequences (Mathematics)
650 0 _aPattern recognition systems
_xMathematical models.
906 _a7
_bcbc
_corignew
_d1
_eecip
_f20
_gy-gencatlg
942 _2lcc
_cBK
999 _c6297
_d6297