000 | a | ||
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999 |
_c33751 _d33751 |
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008 | 250227b xxu||||| |||| 00| 0 eng d | ||
020 |
_a9783031462696 _c(hbk) |
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082 |
_a510.285 _bCHO |
||
100 | _aChongchitnan, Siri | ||
245 | _aExploring university mathematics with Python | ||
260 |
_bSpringer, _c2023 _aCham : |
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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 |