Having a master's degree in chemical engineering, I wasn't destined to work in the area of quantitative finance… the reason why I professionally moved to this discipline aren't worth exposing, but as a matter of fact, I've been quickly fascinated by this science, and encountered some of my favorites, such as maths and statistics, as used in the traditional activity of an engineer. And I had many opportunities of combining the knowledge and practice of financial markets with pragmatism, typically of the engineer’s education, i.e. oriented toward problem solving. In addition, I've always loved teaching, and writing books on financial markets & instruments, hence the importance I'm giving to pedagogy in professional books.
Having read or browsed many books dedicated to the mathematics of options and other derivative instruments, I unquestionably consider Neftci’s book as by far the best choice.
Starting with the fundamentals, it goes much further than a simple “introduction”, and typically fits with the needs of a “quant” specializing in options, with a good balance between pure theoretical, mathematical developments (such as Partial Differential Equations, Girsanov theorem, Markov processes, etc) and practical applications on option pricing.
An Introduction to the Mathematics of Financial Derivatives, Second Edition, introduces the mathematics underlying the pricing of derivatives.
The increased interest in dynamic pricing models stems from their applicability to practical situations: with the freeing of exchange, interest rates, and capital controls, the market for derivative products has matured and pricing models have become more accurate. This updated edition has six new chapters and chapter-concluding exercises, plus one thoroughly expanded chapter. The text answers the need for a resource targeting professionals, Ph.D. students, and advanced MBA students who are specifically interested in financial derivatives.
As a boy, Joseph D’Agnese grew up absolutely convinced that he was terrible at two school subjects: math and science. Lo and behold—he ended up making a career writing about both! For more than seven years, he edited a children’s math magazine for Scholastic, and was rewarded for his work by multiple Educational Press Association Awards. His children's book about the Fibonacci Sequence, Blockhead: The Life of Fibonacci, is available in five languages worldwide, and as a classroom DVD. Blockhead is an Honor Book for the Mathical Book Prize—the first-ever prize for math-themed children's books. Joe’s work in science journalism has been featured twice in the prestigious annual anthology, Best American Science Writing.
This is a classic mathematical fable that has been brought to life by several authors. Demi sets the story in India, and it’s marvelous to watch how quickly the numbers add up when you take a single grain of rice and double it day after day. The illustrations, inspired by traditional Indian art, are breathtaking, and may well inspire your child to create their own mathematical art. At the very least, they’ll start demanding more tasty rice dishes at the dinner table.
Long ago in India, there lived a raja who believed that he was wise and fair. But every year he kept nearly all of the people's rice for himself. Then when famine came, the raja refused to share the rice, and the people went hungry. Then a village girl named Rani devises a clever plan. She does a good deed for the raja, and in return the raja lets her choose her reward. Rani asks for just one grain of rice, doubled every day for thirty days. Through the surprising power of doubling, one grain of rice grows into more…
Philosophy’s core questions have always obsessed me: What is real? What makes life worth living? Can knowledge be made secure? In graduate school at the University of Virginia I was drawn to mathematically formalized approaches to such questions, especially those of C. S. Peirce and Alain Badiou. More recently, alongside colleagues at Endicott College’s Center for Diagrammatic and Computational Philosophy and GCAS College Dublin I have explored applications of diagrammatic logic, category theory, game theory, and homotopy type theory to such problems as abductive inference and artificial intelligence. Philosophers committed to the perennial questions have much to gain today from studying the new methods and results of contemporary mathematics.
Zalamea’s book is the perfect introduction and survey if you want to understand how developments in contemporary mathematics are relevant to current philosophy.
Zalamea’s own approach follows closely in the steps of Peirce, Lautman, and Grothendieck, merging pragmatism, dialectics, and sheaf theory, but he also engages the work of dozens of other key mathematicians and philosophers coming from different points of view, sometimes cursorily, always tantalizingly.
No philosopher can read this book without a quickened heartbeat and eager plans to clear shelf space for some of the many volumes of mathematics and philosophy of mathematics canvassed here by Zalamea.
A panoramic survey of the vast spectrum of modern and contemporary mathematics and the new philosophical possibilities they suggest.
A panoramic survey of the vast spectrum of modern and contemporary mathematics and the new philosophical possibilities they suggest, this book gives the inquisitive non-specialist an insight into the conceptual transformations and intellectual orientations of modern and contemporary mathematics.
The predominant analytic approach, with its focus on the formal, the elementary and the foundational, has effectively divorced philosophy from the real practice of mathematics and the profound conceptual shifts in the discipline over the last century. The first part discusses the…
I am an applied mathematician at Oxford University, and author of the bestseller 1089 and All That, which has now been translated into 13 languages. In 1992 I discovered a strange mathematical theorem – loosely related to the Indian Rope Trick - which eventually featured on BBC television. My books and public lectures are now aimed at bringing mainstream mathematics to the general public in new and exciting ways.
One way of enlivening any presentation of mathematics is by including some history of the subject, but this only really works if there is some serious scholarship behind it. I especially like Hollingdale's book, partly because of the concise writing style, and partly because of the unusually good balance between history and mathematics itself. The calculus, in all its various forms, with some aspects going right back to the Ancient Greeks, is treated especially well.
Fascinating and highly readable, this book recounts the history of mathematics as revealed in the lives and writings of the most distinguished practitioners of the art: Archimedes, Descartes, Fermat, Pascal, Newton, Leibniz, Euler, Gauss, Hamilton, Einstein, and many more. Author Stuart Hollingdale introduces and explains the roles of these gifted and often colorful figures in the development of mathematics as well as the ways in which their work relates to mathematics as a whole. Although the emphasis in this absorbing survey is primarily biographical, Hollingdale also discusses major historical themes and explains new ideas and techniques. No specialized mathematical knowledge…
I’m a professor of computer science at Oregon State University. My research focus is on programming languages, but I also work on computer science education and outreach. I grew up in Germany and moved to the United States in 2000. Since computer science is a fairly new and not widely understood discipline, I am interested in explaining its core ideas to the general public. I believe that in order to attract a more diverse set of people to the field we should emphasize that coding is only a small part of computer science.
This book is not about computing, but it is relevant in an indirect way. I love this book, since it is written in such an engaging style and illustrates with many examples that math is not a dry subject to be practiced only by mathematicians but helps everyone to solve real-world problems. The book shows how important it is to be precise in describing problems and that applying a little mathematical rigor goes a long way in solving them. Ellenberg describes mathematics as the “extension of common sense by other means.” In a similar way, I view computer science as the extension of problem-solving methods (aka “algorithms”) by other means.
"Witty, compelling, and just plain fun to read . . ." -Evelyn Lamb, Scientific American
The Freakonomics of math-a math-world superstar unveils the hidden beauty and logic of the world and puts its power in our hands
The math we learn in school can seem like a dull set of rules, laid down by the ancients and not to be questioned. In How Not to Be Wrong, Jordan Ellenberg shows us how terribly limiting this view is: Math isn't confined to abstract incidents that never occur in real life, but rather touches everything we do-the whole world is shot through…
I have raised miniature dairy goats since 1998 and encountered many health issues in my goats and those of friends. Only one mainstream book on raising my goats existed when I got them. I decided to write my own book. That plan was put on hold when I became publisher of Ruminations magazine. I frequently wrote about goat health care and reviewed new goat books as they came out. In 2009, I published my book, a comprehensive compilation of articles from Ruminations. Afterwards, I wrote Raising Goats for Dummies. Not many studies are done on goats, but each book has added to the body of knowledge regarding goat health care.
Many goat owners don’t have easy access to a veterinarian or veterinary medicines or just want to raise their goats naturally. This down-to-earth book suggests natural methods to keep goats healthy.
The author discusses various minerals and the types of problems that can be caused when a goat has a deficiency, even offering a checklist of diseases that can indicate such a deficiency. Its biggest strength is that it offers various ways to ensure that your goats stay in optimum condition, avoiding medical or pharmaceutical treatments.
Goats thrive on fully organic natural care. As natural browsers, they have higher mineral requirements than other domestic animals, so diet is a critical element to maintaining optimal livestock health. In Natural Goat Care, consultant Pat Coleby shows how to solve health problems both with natural herbs and medicines and the ultimate cure, bringing the soil into healthy balance. Topics include: correct housing and farming methods; choosing the right livestock; diagnosing health problems; nutritional requirements and feeding practices; vitamins and herbal, homeopathic and natural remedies; psychological needs of goats; breeds & breeding techniques. An invaluable resource for anyone with goats.
I am a Professor of Economics at Washington State University. My research focuses on applying Game Theory and Industrial Organization models to polluting industries and other regulated markets. I analyze how firms strategically respond to environmental regulation, including their output and pricing decisions, their investments in clean technologies, and merger decisions, both under complete and incomplete information contexts.
This book is a beautiful, non-mathematical introduction to Game Theory for everyone, even high school students interested in strategy, its basic modeling, and how to solve games.
It has applications to everyday life, including examples from real business and political science, making it accessible to all sorts of readers. Its verbal description of some solution concepts and mathematical results is, however, too lengthy at times, especially for non-English speakers and students with a good math background, potentially leading to unnecessary confusion.
Game theory means rigorous strategic thinking. It's the art of anticipating your opponent's next moves, knowing full well that your rival is trying to do the same thing to you. Though parts of game theory involve simple common sense, much is counterintuitive, and it can only be mastered by developing a new way of seeing the world. Using a diverse array of rich case studies-from pop culture, TV, movies, sports, politics, and history-the authors show how nearly every business and personal interaction has a game-theory component to it. Mastering game theory will make you more successful in business and life,…
Meaningful communications with people through life, books, and films have always given me a certain kind of mental nirvana of being transported to a place of delight. I see fine writing as an informative and entertaining conversation with a stranger I just met on a plane who has interesting things to say about the world. Books of narrative merit in mathematics and science are my strangers eager to be met. For me, the best narratives are those that bring me to places I have never been, to tell me things I have not known, and to keep me reading with the feeling of being alive in a human experience.
Great Circles is a unique tale of the life and works of mathematicians, scientists, philosophers, poets, and other literary figures. It is collections of circles of thoughts and implications that return on themselves as if they are gravitationally attached to some core red dwarf of universal meaning.
I loved reading this book. One moment I was into the math, and in the next, I was immersed in a relevant poem or was personality attached to some math or a philosophical thought about a connection of a poem with the math. It was a ride more than a read. It is a calming cognitive exercise on tour through and between chapters – mind wandering not permitted-- with a smooth comfort of thought as if Grosholz is in the room (or perhaps in your brain) reading and guiding.
The poetry is gripping and wonderfully placed between the appropriate background materials.
This volume explores the interaction of poetry and mathematics by looking at analogies that link them. The form that distinguishes poetry from prose has mathematical structure (lifting language above the flow of time), as do the thoughtful ways in which poets bring the infinite into relation with the finite. The history of mathematics exhibits a dramatic narrative inspired by a kind of troping, as metaphor opens, metonymy and synecdoche elaborate, and irony closes off or shifts the growth of mathematical knowledge.
The first part of the book is autobiographical, following the author through her discovery of these analogies, revealed by…
Although I loved studying mathematics in school, I have since learned that mathematics is so much more than school mathematics. My enthusiasm for all areas of mathematics has led me to conduct original mathematical research, to study the history of mathematics, to analyze puzzles and games, to create mathematical art, crafts, and activities, and to write about mathematics for general audiences. I am fortunate that my job—I am a professor of mathematics and the John J. & Ann Curley Faculty Chair in the Liberal Arts at Dickinson College—allows me the freedom to follow my passions, wherever they take me, and to share that passion with my students and with others.
They say that Plato was not a mathematician but was a maker of mathematicians. The same could be said of Martin Gardner, a prolific author who wrote, among many other things, the “Mathematical Games” column forScientific American for a quarter of a century. Although all his books are excellent, The Colossal Book of Mathematics is a great entry point to Gardner’s oeuvre. It consists of what Gardner viewed as his 50 best Scientific Americancolumns along with addenda containing updated material on each topic. With topics like topology, geometry, recreational mathematics, the infinite, and probability, each article is an informative, playful, well-written gem.
Whether discussing hexaflexagons or number theory, Klein bottles or the essence of "nothing," Martin Gardner has single-handedly created the field of "recreational mathematics." The Colossal Book of Mathematics collects together Gardner's most popular pieces from his legendary "Mathematical Games" column, which ran in Scientific American for twenty-five years. Gardner's array of absorbing puzzles and mind-twisting paradoxes opens mathematics up to the world at large, inspiring people to see past numbers and formulas and experience the application of mathematical principles to the mysterious world around them. With articles on topics ranging from simple algebra to the twisting surfaces of Mobius strips,…
Having a master's degree in chemical engineering, I wasn't destined to work in the area of quantitative finance… the reason why I professionally moved to this discipline aren't worth exposing, but as a matter of fact, I've been quickly fascinated by this science, and encountered some of my favorites, such as maths and statistics, as used in the traditional activity of an engineer. And I had many opportunities of combining the knowledge and practice of financial markets with pragmatism, typically of the engineer’s education, i.e. oriented toward problem solving. In addition, I've always loved teaching, and writing books on financial markets & instruments, hence the importance I'm giving to pedagogy in professional books.
In the vast array of quantitative finance relative to financial markets instruments and related risks, the case of credit or counterparty risk remains by far the most complex one, and thus, unsurprisingly, the least mastered by financial markets professionals.
A lot has been done, but a lot remains to be done: covering this is precisely the goal of this book. In a nutshell, the main obstacle to succeed in developing grounded and useful models of default prediction is due to the fact that a default is (fortunately) a rare event, in other words, with a (very) low probability of occurrence, and statistical tools are uncomfortable with very low probability levels. Hence the need of this book, to help the practitioner to go ahead in this matter.
The book reveals to traders how to consistently outperform credit benchmarks, how to hedge the credit risk premium, and how to overcome pension liability deficits. In addition, several successful trading strategies are presented including debt versus equities, Co-Co bond trading and a quantitative analysis of the municipal bond market. Chapters include: Credit Models, Past Present and Future Predicting Annual Default Rates and Implications for Market Prices Risk and Relative Value in the Municipal Bond Market Contingent Collateral Bonds Model for Sovereign Default and Relative Value Beating Credit Benchmarks Analyzing and Hedging Systemic Liquidity Risk Building on the best-selling first edition,…
