Here are 100 books that The Mathematics of Life fans have personally recommended if you like
The Mathematics of Life.
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I have lived a life filled with diverse life experiences and have encountered people in very different professions who could think effectively and deeply understand topics unrelated to their profession. My life changed for the better when I finally started to develop a deep understanding of math, which empowered me to believe that I could develop a deep understanding of things I encountered. However, this change did not occur in me until my late twenties. My current passion is to empower people to think more effectively early in their lives.
I love how it provides a wonderful historical perspective on how striving for a deeper understanding of a relatively simple concept (the ratio of the circumference of a circle to its diameter) led to advances in mathematics. I particularly enjoy the ride the author takes us on through the generations of great mathematicians and their contributions to the history of π.
I strongly echo the book's closing paragraphs, emphasizing the importance of free and effective societal thinking. “Destroy it! Is what the Soviet censor screams when he sees a copy of Orwell’s 1984.” (see the next book on my list.)
The history of pi, says the author, though a small part of the history of mathematics, is nevertheless a mirror of the history of man. Petr Beckmann holds up this mirror, giving the background of the times when pi made progress -- and also when it did not, because science was being stifled by militarism or religious fanaticism.
It is April 1st, 2038. Day 60 of China's blockade of the rebel island of Taiwan.
The US government has agreed to provide Taiwan with a weapons system so advanced that it can disrupt the balance of power in the region. But what pilot would be crazy enough to run…
As a UK registered lawyer, I have spent most of the past 35 years writing about my work. But what has always excited me, from my childhood, is the science fiction worlds which state a truth which is yet to happen, The worlds of H.G Wells; Huxley; Aldous; Orwell; Bradbury; and Atwell. An individual's struggle against overwhelming odds. Not always somewhere where you would want to go. But from which you will always take something away.
I'd heard about this famous book many years before I actually got around to reading it. What I loved about this book was its originality.
I am always reminded about Orwell's book whenever I hear phrases like ‘ thought police’ or ‘big brother’, which have become part of our everyday language. Probably one of the most influential books ever written. For me, the message of Orwell’s book is that the State will always win.
1984 is the year in which it happens. The world is divided into three superstates. In Oceania, the Party's power is absolute. Every action, word, gesture and thought is monitored under the watchful eye of Big Brother and the Thought Police. In the Ministry of Truth, the Party's department for propaganda, Winston Smith's job is to edit the past. Over time, the impulse to escape the machine and live independently takes hold of him and he embarks on a secret and forbidden love affair. As he writes the words 'DOWN WITH BIG…
I have lived a life filled with diverse life experiences and have encountered people in very different professions who could think effectively and deeply understand topics unrelated to their profession. My life changed for the better when I finally started to develop a deep understanding of math, which empowered me to believe that I could develop a deep understanding of things I encountered. However, this change did not occur in me until my late twenties. My current passion is to empower people to think more effectively early in their lives.
I love this book because the ideas shared helped transform how I teach my mathematics courses. It helped me see that mathematics is the perfect vehicle to illustrate, reinforce, and learn to become a more effective thinker in all aspects of life.
It is a quick read and is timelier than ever, as I believe the ability to think effectively is often not emphasized today.
The 5 Elements of Effective Thinking presents practical, lively, and inspiring ways for you to become more successful through better thinking. The idea is simple: You can learn how to think far better by adopting specific strategies. Brilliant people aren't a special breed--they just use their minds differently. By using the straightforward and thought-provoking techniques in The 5 Elements of Effective Thinking, you will regularly find imaginative solutions to difficult challenges, and you will discover new ways of looking at your world and yourself--revealing previously hidden opportunities. The book offers real-life stories, explicit action items, and concrete methods that allow…
A Duke with rigid opinions, a Lady whose beliefs conflict with his, a long disputed parcel of land, a conniving neighbour, a desperate collaboration, a failure of trust, a love found despite it all.
Alexander Cavendish, Duke of Ravensworth, returned from war to find that his father and brother had…
I have lived a life filled with diverse life experiences and have encountered people in very different professions who could think effectively and deeply understand topics unrelated to their profession. My life changed for the better when I finally started to develop a deep understanding of math, which empowered me to believe that I could develop a deep understanding of things I encountered. However, this change did not occur in me until my late twenties. My current passion is to empower people to think more effectively early in their lives.
I love this book as it illustrates the importance of developing a great love, appreciation, and understanding of what you study to make significant advances in your field.
Lockwood's passion and beauty for what he studies (grasshoppers) is delightfully shared. If this same passion and beauty for learning were shared by those who help others learn, our world would greatly benefit.
Grasshopper Dreaming is a collection of first-person musings about the ethical and philosophical implications of the author's work as an entomologist who specializes in grasshoppers and pest control. Lockwood deftly explores the moral implications of his work and speculates on about the actual relationship between "pests" and humanity if we consider all living creatures to have value in and of themselves, regardless of their usefulness or inconvenience for us. The author, self-described as "a hired assassin for agriculture," offers readers a rich account of the sometimes painful, often odd, occasionally funny, and invariably complex realizations that come out of balancing…
I became enthused about using mathematical models to understand the natural world as an undergraduate, got trained to do so, and spent my career working on a wide variety of applications. Most recently, I translated ideas from disease modeling to understand cyber variability and security.
To maximize success when applying mathematics to the natural or (for cyber) operational world, one needs to master the appropriate mathematical tools and have a deep knowledge of the subject matter. My recommendations are three really great books that will help you gain proficiency in the needed mathematical tools and how to apply them, and two equally great books on cyber systems.
This is a classic! I have had (and worn through copies) since 1969.
There is no explicit mention of disease in Maynard Smith’s book, but the two chapters on population regulation will give you all the tools you need to start applying ideas from disease biology.
As with the Feynman lectures, there is mathematics in this book – but it begins with arithmetic. I recommend it for much the same reason that I recommend Feynman because it will show you how mathematical reasoning can illuminate biology and was written by one the great mathematical biologists of the 20th century.
The book is written for biologists and has the same quality as Feynman’s lectures of having plenty of words that bring the mathematics to life.
This is a lucid introduction to some of the mathematical ideas which are useful to biologists. Professor Maynard Smith introduces the reader to the ways in which biological problems can be expressed mathematically, and shows how the mathematical equations which arise in biological work can be solved. Each chapter has a number of examples which present further points of biological and mathematical interest. interest. Professor Maynard Smith's book is written for all biologists, from undergraduate level upwards, who need mathematical tools. Only an elementary knowledge of mathematics is assumed. Since there are already a number of books dealing with statistics…
I'm a mathematician but an unusual one because I am interested in how mathematics is created and how it is learned. From an early age, I loved mathematics because of the beauty of its concepts and the precision of its organization and reasoning. When I started to do research I realized that things were not so simple. To create something new you had to suspend or go beyond your rational mind for a while. I realized that the learning and creating of math have non-logical features. This was my eureka moment. It turned the conventional wisdom (about what math is and how it is done) on its head.
Lots of people have a priori ideas about what mathematics is all about but Lakatos had the brilliant idea of looking at what actually happened. His book is all about one famous theorem: “for all regular polyhedra, V – E + F =2, where V is the number of vertices, E is the number of edges, and F is the number of faces. Think of a cube where V=8, E = 12, F = 6.
We tend to think that mathematics proceeds from a well-defined hypothesis to conclusion. But that is only the finishing step. Along the way the definitions keep changing as do the hypotheses and even the conclusion. Everything is moving! This is what makes doing mathematics so exciting!
Imre Lakatos's Proofs and Refutations is an enduring classic, which has never lost its relevance. Taking the form of a dialogue between a teacher and some students, the book considers various solutions to mathematical problems and, in the process, raises important questions about the nature of mathematical discovery and methodology. Lakatos shows that mathematics grows through a process of improvement by attempts at proofs and critiques of these attempts, and his work continues to inspire mathematicians and philosophers aspiring to develop a philosophy of mathematics that accounts for both the static and the dynamic complexity of mathematical practice. With a…
The Duke's Christmas Redemption
by
Arietta Richmond,
A Duke who has rejected love, a Lady who dreams of a love match, an arranged marriage, a house full of secrets, a most unneighborly neighbor, a plot to destroy reputations, an unexpected love that redeems it all.
Lady Charlotte Wyndham, given in an arranged marriage to a man she…
I experienced being a parent as a return to my own childhood. As much as I enjoyed teaching my children, I loved learning from them as well. That got me thinking about how one might recapture the joys and insights of childhood. As a philosopher interested in education, I have long wondered whether we leave childhood behind or somehow carry it with us into old age. I discovered that several important philosophers, such as Aristotle, Augustine, and Rousseau have keen insights about the relation of childhood to adulthood. And the biblical Jesus seems to have been the first person to suggest that adults can learn from children.
What if children are not little adults but a different species? Perhaps children are butterflies who develop into caterpillars? Child psychologist Allision Gopnik asks wonderful questions about human development. She notes that most of us produce our best art and ask our deepest questions (“Why is the sky blue?”) as small children.
Childhood, she says, is our time of basic research; adulthood is the time for practical applications. Like Jean-Jacques Rousseau, she celebrates the unique gifts of childhood, but she does not offer suggestions about how we might recapture those gifts.
In the last decade there has been a revolution in our understanding of the minds of infants and young children. We used to believe that babies were irrational, and that their thinking and experience were limited. Now Alison Gopnik ― a leading psychologist and philosopher, as well as a mother ― explains the cutting-edge scientific and psychological research that has revealed that babies learn more, create more, care more, and experience more than we could ever have imagined. And there is good reason to believe that babies are actually smarter, more thoughtful, and more conscious than adults. In a lively…
I taught for 45 years at Ithaca College broken by two years as Fulbright Professor in West Africa at the University of Liberia. During my years in academia, I developed several new courses including a popular “Math in Africa” class and the first U.S. course for college credit in chess theory. I’ve always had a passion for and continue to have strong interests in (1) national educational and social issues concerning equal access to math education for all and (2) teaching others about the power of mathematics and statistics to help one more deeply understand social issues.
The author shows how our inability to deal rationally with data results in misinformed governmental policies, muddled personal decisions, and a heightened vulnerability to accepting baseless conclusions.
With examples from drug testing and sex discrimination to law and relative risk, and everything in between, the reader is shown how understanding numbers can improve society as a whole as well as better individual lives. I’ve handed out copies of this book to my students, friends, and academic associates.
Why do even well-educated people often understand so little about maths - or take a perverse pride in not being a 'numbers person'?
In his now-classic book Innumeracy, John Allen Paulos answers questions such as: Why is following the stock market exactly like flipping a coin? How big is a trillion? How fast does human hair grow in mph? Can you calculate the chances that a party includes two people who have the same birthday? Paulos shows us that by arming yourself with some simple maths, you don't have to let numbers get the better of you.
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.
This book follows the journey of a writer in search of wisdom as he narrates encounters with 12 distinguished American men over 80, including Paul Volcker, the former head of the Federal Reserve, and Denton Cooley, the world’s most famous heart surgeon.
In these and other intimate conversations, the book…
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.
The Univalent Foundations program in foundations of mathematics launched by Voevodsky and others in the past decade and a half has contributed to a promising new paradigm unifying computation, mathematics, logic, and proof theory.
Understanding the core elements of this research program, Homotopy Type Theory, is essential for contemporary philosophers who want to engage directly with current developments in mathematics and computer science.
Corfield is a well-established name in philosophy of mathematics, and this book is the best introduction to Homotopy Type Theory for philosophers.
Working within themes and problematics that will be familiar to philosophers with a basic background in logic, Corfield covers the elementary constructions of homotopy types from a logical point of view and provides plenty of provocative suggestions for how these formal tools might reinvigorate philosophical research today.
"The old logic put thought in fetters, while the new logic gives it wings."
For the past century, philosophers working in the tradition of Bertrand Russell - who promised to revolutionise philosophy by introducing the 'new logic' of Frege and Peano - have employed predicate logic as their formal language of choice. In this book, Dr David Corfield presents a comparable revolution with a newly emerging logic - modal homotopy type theory.
Homotopy type theory has recently been developed as a new foundational language for mathematics, with a strong philosophical pedigree. Modal Homotopy Type Theory: The Prospect of a New…
