21st Math'fia

Chapter 1:

• https://services.math.duke.edu/undergraduate/Handbook96_97/node5.html

• https://www.splashlearn.com/math-vocabulary/geometry/pattern#:~:text=In%20math%2C%20a%20pattern%20is, not%20belong%20to%20the%20pattern.

• https://www.youtube.com/watch?v=vV7C7bXm4VI

• https://owlcation.com/stem/Mathematical-Language-and-Symbols

• https://www.youtube.com/watch?v=S-F5Xhrolts

• https://sites.millersville.edu/bikenaga/math-proof/truth-tables/truth-tables.html

• https://www.youtube.com/watch?v=UuMWkFa8b5o

• https://learn.sparkfun.com/tutorials/binary/bitwise-operators

• https://www.math-aids.com/Number_Systems/Bitwise_Operations.html

• https://byjus.com/maths/statements-in-mathematical-reasoning/#:~:text=What%20is%20Mathematical%20Reasoning%3F,easy%20and%20fun%20to%20solve.

• https://www.youtube.com/watch?v=CLSPiSJrb_k

• https://condor.depaul.edu/ichu/csc383/notes/notes1/Proof.htm

• https://calcworkshop.com/logic/rules-inference/

• https://mathshistory.st-andrews.ac.uk/HistTopics/History_overview/

• http://www.historyworld.net/wrldhis/plaintexthistories.asp?historyid=aa50 

Chapter 2:

• https://www.ipracticemath.com/learn/consumermath 

• https://www.fortunebuilders.com/simple-vs-compound-interest/ 

• https://smartasset.com/investing/difference-between-simple-and-compound-interest 

• Mathematics in the Modern World, authors: Recto “Rex” M. Calingasan, Ph.D, Mary C. Martin, M.Sc, Enrico M. Yambao, M.Sc 

• https://www.varsitytutors.com/gmat_math-help/word-problems/problem-solving-questions/interest-problems?page=4 

• https://math.libretexts.org/Bookshelves/Applied_Mathematics/Business_Math_(Olivier)/11%3A_Compound_Interest_Annuities/11.01%3A__Fundamentals_of_Annuities 

• https://www.investopedia.com/terms/p/presentvalue.asp 

• https://www.investopedia.com/terms/t/termdeposit.asp 

• https://www.toppr.com/guides/business-mathematics-and-statistics/time-value-of-money/effective-rate-of-interest/

• https://www.investopedia.com/terms/s/stock.asp 

• https://www.disnat.com/en/learning/trading-basics/stock-basics/how-to-read-a-stock-tablequote 

• https://www.nerdwallet.com/article/investing/stock-trading-how-to-begin 

• https://www.forbes.com/advisor/investing/what-is-a-bond/ 

• https://study.com/academy/lesson/bond-valuation-formula-steps-examples.html 

• https://www.360financialliteracy.org/Topics/Investor-Education/Investing-Basics/Mutual-fund-basics 

• https://am.jpmorgan.com/us/en/asset-management/adv/resources/glossary-of-investment-terms/ 

• https://granite.pressbooks.pub/math502/chapter/annuities-and-loans/

• https://www.ncl.ac.uk/webtemplate/ask-assets/external/maths-resources/finance/loans.html 

• https://www.britannica.com/science/modular-arithmetic 

• https://courses.cs.washington.edu/courses/cse311/18au/doc/lecture12.pdf 

• https://silo.tips/download/problems-and-solutions-4 

• https://www.investopedia.com/terms/b/balancedfund.asp 

• https://corporatefinanceinstitute.com/resources/commercial-lending/loan/ 

• https://www.investopedia.com/terms/r/repayment.asp 

Chapter 3:

• https://www.education.vic.gov.au/school/teachers/teachingresources/discipline/english/literacy/Pages/communicating_mathematical_understanding.aspx 

• http://archive.dimacs.rutgers.edu/nj_math_coalition/framework/ch01-04/ch01-04_s2.html 

• https://programs.online.american.edu/msc/masters-strategic-communication/resources/5-ways-technology-has-changed-the-communication-field 

• https://pressbooks.bccampus.ca/professionalcomms/chapter/3-2-the-communication-process-communication-in-the-real-world-an-introduction-to-communication-studies/ 

• https://pressbooks.library.torontomu.ca/communicationnursing/chapter/transmission-model-of-communication/ 

• https://ieeexplore.ieee.org/document/9371300 

• https://mathworld.wolfram.com/Error-CorrectingCode.html 

• https://vtechworks.lib.vt.edu/bitstream/handle/10919/36910/chap1.pdf 

• https://people.math.harvard.edu/~ctm/home/text/others/shannon/entropy/entropy.pdf 

• https://www.youtube.com/watch?v=7SVSXiWc0-o 

• https://digitalcommons.unl.edu/cgi/viewcontent.cgi?article=1075&context=mathmidactionresearch 

• https://ncsce.net/the-mathematics-of-communication-keeping-secrets/ 

• https://privacycanada.net/mathematics/ 

Chapter 4: 

• https://plato.stanford.edu/entries/decision-theory/ 

• https://www.diva-portal.org/smash/get/diva2:1072112/FULLTEXT01.pdf 

• https://www.abs.gov.au/ausstats/abs@.nsf/lookup/1500.0chapter42010#:~:text=Statistics%20can%20also%20aid%20the,any%20areas%20which%20require%20improvement. 

• https://www.wisdomjobs.com/e-university/quantitative-techniques-for-management-tutorial-297/decision-making-under-uncertainty-10067.html#:~:text=A%20decision%20under%20uncertainty%20is,of%20our%20actions%20will%20be. 

• https://ceur-ws.org/Vol-2093/paper1.pdf 

• https://www.cambridge.org/highereducation/books/an-introduction-to-decision-theory/93E043CC210347D7F3FE39665FD26C9F#overview 

• https://www.gsb.stanford.edu/faculty-research/books/primer-decision-making-how-decisions-happen 

• http://students.aiu.edu/submissions/profiles/resources/onlineBook/Y5z2A2_Game_Theory_An_Introduction.pdf 

• https://bond.edu.au/subject/econ13-301-game-theory-and-strategic-decision-making#:~:text=Game%20theory%20is%20a%20field,strategies%20used%20by%20a%20business. 

• https://plato.stanford.edu/entries/social-choice/ 

• https://testbook.com/question-answer/in-which-method-are-the-mathematical-problems-solv--6035e08dd3610236ea1ba0a5 

• https://www.mathsisfun.com/algebra/word-questions-solving.html 

• https://www.mathsisfun.com/algebra/word-questions-solving.html 

• https://www.investopedia.com/terms/m/montecarlosimulation.asp

• http://ndl.ethernet.edu.et/bitstream/123456789/59681/1/53.pdf 

• https://www.investopedia.com/terms/m/montecarlosimulation.asp 

• https://corporatefinanceinstitute.com/resources/capital-markets/dominant-strategy/ 

• https://corporatefinanceinstitute.com/resources/economics/nash-equilibrium-game-theory/ 

• https://en.wikipedia.org/wiki/Strategic_voting#:~:text=Strategic%20voting%2C%20also%20called%20tactical,to%20prevent%20an%20undesirable%20outcome 

• https://blogs.lse.ac.uk/lseupr/2021/02/12/gv225-the-basics-of-preference-aggregation/ 

Chapter 5:

• https://www.cuemath.com/algebra/linear-inequalities-in-two-variables/ 

• https://www.analyticsvidhya.com/blog/2017/02/lintroductory-guide-on-linear-programming-explained-in-simple-english/ 

• https://www.analyticssteps.com/blogs/dijkstras-algorithm-shortest-path-algorithm 

• https://www.geeksforgeeks.org/kruskals-minimum-spanning-tree-algorithm-greedy-algo-2/ 

• https://kanchiuniv.ac.in/coursematerials/OperationResearch.pdf

• https://people.math.wisc.edu/~jwrobbin/141dir/propp/COMAP/Guidefor1stTimeInstructors/e_FAPP07_FTI_04.pdf

• Mathematics in the Modern World, authors: Recto “Rex” M. Calingasan, Ph.D, Mary C. Martin, M.Sc, Enrico M. Yambao, M.Sc. 

Chapter 6:

• https://irenenaested.com/publications-works/art-math/ 

• https://www.mathsisfun.com/numbers/fibonacci-sequence.html 

• https://insteading.com/blog/fibonacci-sequence-in-nature/ 

• https://mathshistory.st-andrews.ac.uk/Biographies/Fibonacci/ 

• https://www.mathsisfun.com/numbers/golden-ratio.html 

• https://science.howstuffworks.com/math-concepts/fractals.htm 

• https://simply.science/index.php/fractals-in-nature 

• https://calcworkshop.com/transformations/isometry/ 

• https://sites.math.washington.edu/~king/coursedir/m444a03/notes/trans/tables-fixed-invariant.html 

• https://byjus.com/maths/symmetry/ 

• https://lindagreen.web.unc.edu/wp-content/uploads/sites/5262/2015/12/Math53_Part8_Rosettes.pdf 

• https://www.onlinemath4all.com/frieze-patterns-geometry.html 

• https://www.people.vcu.edu/~rhammack/Math122/bob.pdf 

• https://mathstat.slu.edu/escher/index.php/Wallpaper_Patterns 

• http://www.csun.edu/~lmp99402/Math_Art/Tesselations/tesselations.html#:~:text=Tessellation%20Definition,a%20tessellation%20is%20a%20tiling. 

• https://www.mathsisfun.com/geometry/tessellation.html 

• https://www.mathnasium.com/blog/14-interesting-examples-of-the-golden-ratio-in-nature 

• https://www.creativebloq.com/design/designers-guide-golden-ratio-12121546 

• https://www.nicepng.com/ourpic/u2y3a9t4w7q8r5u2_golden-french-horn-french-horn-golden-ratio/ 

• https://www.ucsart.com/learn/blog/learn-the-golden-ratio-for-your-artworks-on-canvas 

• https://www.creatopy.com/blog/golden-ratio-in-graphic-design/ 

• https://fractalwork.com/julian-wilson-explains-the-nature-of-a-fractal-using-an-example-from-nature/ 

• https://fractalfoundation.org/OFC/OFC-10-2.html 

• https://mathsmodels.co.uk/2021/04/01/MengerSponge/ 

• https://www.mcgoodwin.net/julia/juliajewels.html 

• https://fractalfoundation.org/resources/fractivities/fractal-trees/ 

• https://www.treehugger.com/amazing-fractals-found-in-nature-4868776 

• https://www.verywellhealth.com/types-of-neurons-5201172 

• https://www.everydayhealth.com/news/10-amazing-facts-about-your-blood-vessels/ 

• https://www.prevention.com/health/a32851873/struck-by-lightning-effects/ 

• https://ucsdvis159.wordpress.com/tag/snowflake/