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Fibonacci’s Liber Abaci
First published in 1202, Fibonacci’s Liber Abaci was one of the most important books on mathematics in the Middle Ages, introducing Arabic numerals and methods throughout Europe. This is the first translation into a modern European language, of interest not only to historians of science but also to all mathematicians and mathematics teachers interested in the origins of their methods.
Finding Fibonacci
In 2000, Keith Devlin set out to research the life and legacy of the medieval mathematician Leonardo of Pisa, popularly known as Fibonacci, whose book Liber abbaci has quite literally affected the lives of everyone alive today. Although he is most famous for the Fibonacci numbers--which, it so happens, he didn't invent--Fibonacci's greatest contribution was as an expositor of mathematical ideas at a level ordinary people could understand. In 1202, Liber abbaci--the "Book of Calculation"--Introduced modern arithmetic to the Western world. Yet Fibonacci was long forgotten after his death, and it was not until the 1960s that his true achievements were finally recognized. Finding Fibonacci is De...
Fibonacci's De Practica Geometrie
Leonardo da Pisa, perhaps better known as Fibonacci (ca. 1170 – ca. 1240), selected the most useful parts of Greco-Arabic geometry for the book known as De Practica Geometrie. This translation offers a reconstruction of De Practica Geometrie as the author judges Fibonacci wrote it, thereby correcting inaccuracies found in numerous modern histories. It is a high quality translation with supplemental text to explain text that has been more freely translated. A bibliography of primary and secondary resources follows the translation, completed by an index of names and special words.
The Economics of Business Valuation
For decades, the market, asset, and income approaches to business valuation have taken center stage in the assessment of the firm. This book brings to light an expanded valuation toolkit, consisting of nine well-defined valuation principles hailing from the fields of economics, finance, accounting, taxation, and management. It ultimately argues that the "value functional" approach to business valuation avoids most of the shortcomings of its competitors, and more correctly matches the actual motivations and information set held by stakeholders. Much of what we know about corporate finance and mathematical finance derives from a narrow subset of firms: publicly traded corporations. The value functional approach can be readily applied to both large firms and companies that do not issue publicly traded stocks and bonds, cannot borrow without constraints, and often rely upon entrepreneurs to both finance and manage their operations. With historical side notes from an international set of sources and real-world exemplars that run throughout the text, this book is a future-facing resource for scholars in economics and finance, as well as the academically minded valuation practitioner.
A Transition to Advanced Mathematics
A Transition to Advanced Mathematics: A Survey Course promotes the goals of a "bridge'' course in mathematics, helping to lead students from courses in the calculus sequence (and other courses where they solve problems that involve mathematical calculations) to theoretical upper-level mathematics courses (where they will have to prove theorems and grapple with mathematical abstractions). The text simultaneously promotes the goals of a ``survey'' course, describing the intriguing questions and insights fundamental to many diverse areas of mathematics, including Logic, Abstract Algebra, Number Theory, Real Analysis, Statistics, Graph Theory, and Complex Analysis. The main objective is "to brin...
Numbers and the World
This book is a collection of essays written by a distinguished mathematician with a very long and successful career as a researcher and educator working in many areas of pure and applied mathematics. The author writes about everything he found exciting about math, its history, and its connections with art, and about how to explain it when so many smart people (and children) are turned off by it. The three longest essays touch upon the foundations of mathematics, upon quantum mechanics and Schrödinger's cat phenomena, and upon whether robots will ever have consciousness. Each of these essays includes some unpublished material. The author also touches upon his involvement with and feelings about issues in the larger world. The author's main goal when preparing the book was to convey how much he loves math and its sister fields.
Analysing Historical Mathematics Textbooks
This book is about the creation and production of textbooks for learning and teaching mathematics. It covers a period from Antiquity to Modern Times. The analysis begins by assessing principal cultures with a practice of mathematics. The tension between the role of the teacher and his oral mode, on the one hand, and the use of a written (printed) text, in their respective relation with the student, is one of the dimensions of the comparative analysis, conceived of as the ‘textbook triangle’. The changes in this tension with the introduction of the printing press are discussed. The book presents various national case studies (France, Germany, Italy) as well as analyses of the internationalisation of textbooks via transmission processes. As this topic has not been sufficiently explored in the literature, it will be very well received by scholars of mathematics education, mathematics teacher educators and anyone with an interest in the field.
Science on Stage in Early Modern Spain
Science on Stage in Early Modern Spain features essays by leading scholars in the fields of literary studies and the history of science, exploring the relationship between technical innovations and theatrical events that incorporated scientific content into dramatic productions. Focusing on Spanish dramas between 1500 and 1700, through the birth and development of its playhouses and coliseums and the phenomenal success of its major writers, this collection addresses a unique phenomenon through the most popular, versatile, and generous medium of the time. The contributors tackle subjects and disciplines as diverse as alchemy, optics, astronomy, acoustics, geometry, mechanics, and mathematics to reveal how theatre could be used to deploy scientific knowledge. While Science on Stage contributes to cultural and performance studies it also engages with issues of censorship, the effect of the Spanish Inquisition on the circulation of ideas, and the influence of the Eastern traditions in Spain.
