How to Read Historical Mathematics
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At only 23, young Isaac Newton developed theorems such as differential and integral calculus in a very short period of time; these brought a revolution to contemporaneous science as well as still being taught and applied nowadays. As precise as they are, the mathematical sciences stalled in the early 20th century with the debate about infinity, completeness and the consistency of theorems.
How to Read Historical Mathematics
Despite not having access to the university, she ended up formulating fundamental theories to understand relativity. For centuries, many of the physical phenomena that occured in nature were classified as random, but scientists from different fields researched the predictability of these events in order to predict them. Thanks to the study of dynamic systems, terms such as the butterfly effect, the Smale horseshoe, or the Feigenbaum constant were created, which are still used to describe the system of chaos, in which little variations produce totally disproportionate results. However, his achievements in mathematics are not less remarkable.
His approach to geometry is the origin of the cartesian axes and he was even hired by the queen of Sweden to develop his work. The Middle Ages in India were tremendously fruitful in terms of mathematics. Classical Indian thinkers developed the classical arithmetics that the Arabs would later collect. This would have not been possible without the introduction of the number zero in the numerical system, which led them to operate like never before.
The Indian sages carried out an authentic mathematical revolution after which the world of numbers would never be the same again. Alexandria was one of the most important intellectual centers of the ancient world. The mixture of cultures, the museum and the library and the congregation of wise people from different fields made the city a benchmark in knowledge worldwide. There lived Euclid, the mathematician who wrote one of the most influential books in history , Elements, which for many years modern mathematicians drank and laid the foundations of geometry.
In the same way as Alexandria, Baghdad was another important gathering point for scholars and thinkers from the Arab world. Al-Khwarizmi developed in this context the bases of algebra by inheriting the creation of zero by the Indians.
'How to read historical mathematics'
Also, in honor of his name we call the algorithms. We use our own and third-party cookies to offer you a pleasant experience and display to users advertising related with your preferences, based on analysis of your browsing habits. By continuing to browse this website you agree to their use. You can change the cookie settings or obtain further information by accessing our cookies policy. Click Enter. Login Profile.
Es En. Economy Humanities Science Technology. Scientific Insights. Multimedia OpenMind books Authors. Featured author. Robin Shields. University of Bath, Bath, UK. Latest book. Abundantly filled with exercises, well chosen examples, and even biographies on notable mathematicians, this book makes the perfect companion for both students and teaching assistants.
More info. Review : Serious math learners will be thrilled by the rigorous conciseness of this textbook. It seamlessly bridges any gap between graduate and undergraduate studies.
The book is chock-full of clear examples and succinct proofs, making it evident that the authors have no intention of keeping the reader on a particular topic any longer than is necessary. With countless exercises and examples, Abstract Algebra proves to be an invaluable tool that is undeniably worth the price. Review : Introduction to Algorithms is a distinctly theoretical but all-around comprehensive book.
Its use is not only limited to those taking algorithms courses but can also be utilized by anyone as an extensive reference source. Readers will learn quintessential algorithms as well as concepts such as what makes an algorithm efficient and why. Students will need a bit of mathematical background to get from cover to cover, however those who are able to do so will be intrigued by the content depth and wide spectrum of topics covered.
These topics run the gamut from classical algorithms to computational geometry. Review : This 3 volume box set does a marvelous job of covering subjects in the vast field of computer science. The writing is intact and brimming with mathematical rigor. Readers whose sole focus is learning can easily skim over areas that are excessively detailed without losing grasp of the core concepts.
The Team | Reading Euclid
All three volumes are equally definitive and provide a clean theoretical explanation of fundamentals of computer science. Additionally, each chapter section comes with questions students can use to gain better hands on experience. This is book is akin to the bible for computer scientists. A fourth volume is also available. Review : Lengthy yet vital, this resource book is jam packed with straight-forward explanations and loads of solved problems for students to easily learn from. Excelling many of its contemporaries by leaps and bounds, The Calculus Lifesaver truly lives up to its title.
Students who are tired of dreary calculus textbooks that provide no motivation behind the concepts will be gladly surprised by the detailed and informal approach Banner uses to capture their attention. He fills all gaps and leaves readers feeling satisfied and enlightened. This book dually holds the characteristics of both an instructive primary aid as well as that of a supplementary read.
A Concise History of Mathematics
Review : Even those who are not particularly gifted or even proficient in mathematics will enjoy sitting down and studying from Calculus Made Easy. Thompson creates a warm, inviting environment where students will learn and grasp the true essence of calculus without any added fluff or overt technicality.
Frustrated students who have sought after a compatible calculus aid to no avail will agree that this is a professional tool that is presented to the reader on the same wavelength. Thompson knows that math is hard. Rather than taking the standard approach that many use to confound and further bewilder students, he breaks calculus down into a form that is a lot less threatening. He wanders off the standard presentational path for a calculus course and thereby creates a more historically accurate and useful book. But this is a book that was written for the curious student with the intention of being read and understood, not practiced and blindly memorized.
The result is that students will be ready to tackle calculus subjects and courses with a newfound clarity. Review : Tenacious students in favor of stimulating study will love this book. He forces them to rely on their own perspicacity and reason instead of a collection of random techniques and mechanics.
This fourth edition includes additional problems and other minor changes not included in the third. Review : In this follow-up to Volume I of his series, Apostol continues to lay the groundwork for calculus students with precision and ease. Unlike other calculus books, this one is replete with substance. The author takes time to build and prove each theorem the way it ought to be done. Unlike many follow-up math books, this one never mindlessly repeats the same material. Instead, it vigorously moves ahead into new territory involving the use of multi-variables and advanced applications.
Review : This short and concise book only focuses on what is essential and nothing else. Spivak makes his writing on the main objective of the book — Stokes Theorem — painless and easy to grasp.
Readers are encouraged to keep a pen and paper on hand to rewrite the proofs on their own. Review : In this uniquely interesting book, photographer Mariana Cook offers readers high quality black and white photographs of 92 noteworthy mathematicians. However it provides a much needed break from the rather austere climate that the math world is usually comprised of.
Her selected mathematicians come from diverse backgrounds and have all reached their authoritative status in equally different ways. Each photograph is accompanied by a quick, informative and often enlightening essay by the mathematician at hand, frequently revealing the passion and deep love for their discipline that each mathematician possesses.
Cook does a wonderful job of capturing her subjects in an honest and purely human light. As such, this title is the ideal coffee table book for math geeks.