000 a
999 _c33751
_d33751
008 250227b xxu||||| |||| 00| 0 eng d
020 _a9783031462696
_c(hbk)
082 _a510.285
_bCHO
100 _aChongchitnan, Siri
245 _aExploring university mathematics with Python
260 _bSpringer,
_c2023
_aCham :
300 _axiii, 514 p. ;
_bill., (chiefly col.),
_c25 cm
365 _b74.99
_c
_d93.20
504 _aIncludes bibliographical references and index.
520 _aThis book provides a unique tour of university mathematics with the help of Python. Written in the spirit of mathematical exploration and investigation, the book enables students to utilise Python to enrich their understanding of mathematics through: Calculation: performing complex calculations and numerical simulations instantly Visualisation: demonstrating key theorems with graphs, interactive plots and animations Extension: using numerical findings as inspiration for making deeper, more general conjectures. This book is for all learners of mathematics, with the primary audience being mathematics undergraduates who are curious to see how Python can enhance their understanding of core university material. The topics chosen represent a mathematical overview of what students typically study in the first and second years at university, namely analysis, calculus, vector calculus and geometry, differential equations and dynamical systems, linear algebra, abstract algebra and number theory, probability and statistics. As such, it can also serve as a preview of university mathematics for high-school students. The prerequisites for reading the book are a familiarity with standard A-Level mathematics (or equivalent senior high-school curricula) and a willingness to learn programming. For mathematics lecturers and teachers, this book is a useful resource on how Python can be seamlessly incorporated into the mathematics syllabus, assuming only basic knowledge of programming.
650 _aCayley table
650 _aDouble pendulum
650 _aEigenvalues
650 _aImport numpy
650 _aMandelbrot set
650 _aMatplotlib
650 _aRandom variables
650 _aRank-nullity theorem
650 _aSimpson's Rule
650 _aTaylor series
650 _aTrapezium Rule
942 _2ddc
_cBK