Ever since I studied control theory as an undergrad chemical engineer, mathematical models of complex phenomena have fascinated me. Mathematical models have the uncanny ability to uncover key aspects of biological systems, whose complexity poses a great challenge for understanding. As a researcher in systems biology for over 15 years, I have enjoyed reading several books that explore the exciting interface between computation and biology, trying to capture the burgeoning literature on this rapidly advancing field. I hope you enjoy these books and will join these authors on an exciting journey into the cartography of molecular networks underlying every living cell, using a variety of mathematical models!
One of the earliest books on this subject, Uri Alon presents an engaging account of biological networks. Focussing on transcriptional networks, and their motifs, the book illustrates the nexus between network structures and functions. The second edition of the book launched a few years ago and has some updated content and new material on interesting functionalities such as fold change detection. Uri Alon is a very accomplished scientist, mentor, and a leader in the field of biological networks/systems biology.
Thorough and accessible, this book presents the design principles of biological systems, and highlights the recurring circuit elements that make up biological networks. It provides a simple mathematical framework which can be used to understand and even design biological circuits. The textavoids specialist terms, focusing instead on several well-studied biological systems that concisely demonstrate key principles.
An Introduction to Systems Biology: Design Principles of Biological Circuits builds a solid foundation for the intuitive understanding of general principles. It encourages the reader to ask why a system is designed in a particular way and then proceeds to answer with simplified models.
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.
This may seem an odd choice, but as a maths popularizer I need to know all that I can about why some people find the main elements of the subject so difficult. I found Doug French's book exceptionally helpful in this respect, even though it is aimed principally at high school teachers. This is partly because he focuses throughout on the most important mathematical ideas and difficulties. Moreover, the scope is wider than the title suggests, for he also ventures imaginatively into both geometry and calculus.
Continuum has repackaged some of its key academic backlist titles to make them available at a more affordable price. These reissues will have new ISBNs, distinctive jackets and strong branding. They cover a range of subject areas that have a continuing student sale and make great supplementary reading more accessible. A comprehensive, authoritative and constructive guide to teaching algebra.
Watching my grandson count the ants and ask to hear the rhythmic text again was joyous together time!It's filled with fun, and we just want to keep turning the pages to see what's next.
As a picture book author myself, I appreciate these unique books that have layers of offerings. There's wordplay, friendship and working together, rhyming text, great illustrations, humor, AND math!
Ants are busy little creatures, and these smarty ants are extra busy using their maths skills! They are ready to build one gigantic home, filled with everything an ant could want. But what happens when disaster strikes? Dynamic author duo Corey Rosen Schwartz and Kirsti Call use simple addition, word play and rhyming text to create a memorable maths picture book that young learners will want to read over and over again.
I've always believed in the power behind positive thinking, but it’s easy to get caught up in feelings of worry or disappointment. I picked this topic because I feel that perspective is the tool that can help us change a negative attitude into a positive one. We don’t always have control of various things happening in the world around us. However, we do have the power to try to change our perspective and look at things in a more positive way. I believe this skill is essential to find gratitude and happiness in life, and I love how each of these books approach the topic of the importance of perspective in different ways.
In this book, a little girl named Sarah is worried about starting her first day at school. She can’t help but imagine all the terrible things that could happen. Her friend named Benny helps her to change her perspective by showing her all the things that could go right instead of wrong. I really enjoy this book because it’s so easy to let our minds wander to the negative possibilities. I like how this book reminds us to see the good that can happen in situations and also encourages us to find good positive friends like Benny that will help give us a boost when needed!
**From the best-selling Team Supercrew Series** **First Place Winner - Purple Dragonfly Book Awards 2022 - New Author Fiction**
First day? New School? New experience? Feeling scared? Benny the Brave is here to help!
Meet Sarah. She’s about to start a new school that’s on a distant planet. She doesn’t have any friends yet. Her teacher may or may not be a swamp creature. And worse, lunch looks like it’s wriggling, slimy and alive! But just before the school bus arrives, Team Supercrew’s Benny the Brave comes to the rescue!
Team Supercrew’s Benny the Brave reminds kids that they have…
I've had a long-time interest in two things: mathematics and social issues. This is why I got degrees in social work (Masters) and sociology (PhD) and eventually focused on the quantitative aspects of these two areas. Social Workers Count gave me the chance to marry these two interests by showing the role mathematics can play in illuminating a number of pressing social issues.
Many quant geeks are familiar with statistics. The dominant school of statistical thought is called "Frequentist" or "Classical."
It focuses on either 1) testing a given hypothesis by determining how likely observed data are on the assumption that the hypothesis is true or 2) constructing intervals for which a certain percentage of them contain the actual value of whatever is being estimated.
A lesser known, although this seems to be changing, school of thought is Bayesian statistics. It focuses on using prior information about some phenomenon in order to revise or update one's beliefs about it.
If you're into stats but don't know much about Bayesian statistics, Donovan and Mickey's book is a great place to start. It's somewhat mathematical but covers the technical aspects much more accessibly that any other book I've seen on the topic.
Bayesian statistics is currently undergoing something of a renaissance. At its heart is a method of statistical inference in which Bayes' theorem is used to update the probability for a hypothesis as more evidence or information becomes available. It is an approach that is ideally suited to making initial assessments based on incomplete or imperfect information; as that information is gathered and disseminated, the Bayesian approach corrects or replaces the assumptions and alters its decision-making accordingly to generate a new set of probabilities. As new data/evidence becomes available the probability for a particular hypothesis can therefore be steadily refined and…
I am a professor of quantum physics—the most notoriously complicated science humans have ever invented. While the likes of Albert Einstein commented on how difficult quantum physics is to understand, I disagree! Ever since my mum asked me—back while I was a university student—to explain to her what I was studying, I’ve been on a mission to make quantum physics as widely accessible as possible. Science belongs to us all and we should all have an opportunity to appreciate it!
Are you still here? Good. Because by now you are probably reading to tackle some university-level courses in quantum physics, right? Well, with your background in pop quantum physics all you need to get there is a little more abstraction. So, if you have the stomach for a bit of mathematics, Quantum Mechanics: The Theoretical Minimum by Leonard Susskind is your ticket to the big show! (Don’t say I didn’t warn you about the math, though.)
First he taught you classical mechanics. Now, physicist Leonard Susskind has teamed up with data engineer Art Friedman to present the theory and associated mathematics of the strange world of quantum mechanics.In this follow-up to the New York Times best-selling The Theoretical Minimum , Susskind and Friedman provide a lively introduction to this famously difficult field, which attempts to understand the behaviour of sub-atomic objects through mathematical abstractions. Unlike other popularizations that shy away from quantum mechanics' weirdness, Quantum Mechanics embraces the utter strangeness of quantum logic. The authors offer crystal-clear explanations of the principles of quantum states, uncertainty and…
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.
I’m interested in how mathematicians create mathematics but this book made me realize that learning mathematics is also a form of creativity. Each of us has created our understanding of mathematics as we were growing up. We are all creative!
What is amazing about this book is that even children as young as six months possess rudimentary mathematical concepts, in particular, the concept of number. (Actually, Carey shows children have two distinct ways of thinking about numbers). The concept of number is built-in. That’s amazing to me! The mastery of counting numbers, 1,2,3,… is a great creative leap in the development of the child. This leap is followed by a series of further amazing accomplishments, for example, the insight that a fraction like 2/3, is a completely new kind of number (and not just a problem in division). How do kids manage to accomplish such radical changes in their concept…
Only human beings have a rich conceptual repertoire with concepts like tort, entropy, Abelian group, mannerism, icon and deconstruction. How have humans constructed these concepts? And once they have been constructed by adults, how do children acquire them? While primarily focusing on the second question, in The Origin of Concepts , Susan Carey shows that the answers to both overlap substantially.
Carey begins by characterizing the innate starting point for conceptual development, namely systems of core cognition. Representations of core cognition are the output of dedicated input analyzers, as with perceptual representations, but these core representations differ from perceptual representations…
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.
From a strictly philosophical perspective, the emergence of category theory as a unifying paradigm rivaling set theory is probably the most important development in mathematics in the last half-century.
But for philosophers without a lot of mathematical background, learning even its rudiments can be daunting. Among many introductory texts (Lawvere and Schanuel, Awodey, Riehl, Spivak), Cheng’s book stands out as perhaps the friendliest and most accessible.
She does not forego rigor, but she isn’t afraid to put aside precise formalism when necessary for intuition and clearer understanding. Her book takes the reader from mathematical beginnings through category theory’s core constructions to glimpses of higher-order categories (one of Cheng’s areas of expertise).
A mathematically novice philosopher who wants to understand the basics of category theory couldn’t do better.
Mathematician and popular science author Eugenia Cheng is on a mission to show you that mathematics can be flexible, creative, and visual. This joyful journey through the world of abstract mathematics into category theory will demystify mathematical thought processes and help you develop your own thinking, with no formal mathematical background needed. The book brings abstract mathematical ideas down to earth using examples of social justice, current events, and everyday life - from privilege to COVID-19 to driving routes. The journey begins with the ideas and workings of abstract mathematics, after which you will gently climb toward more technical material,…
Michael Dresdner is a nationally known finishing and woodworking expert and guitar maker/designer, author of five books and several videos on wood finishing and guitar making. He’s been a Contributing Editor to Fine Woodworking Magazine, American Woodworker Magazine, and Woodworker’s Journal, wrote the Just Finishing byline column for American Woodworker Magazine for over 7 years, and the Finishing Thoughts byline column for Woodworker’s Journal for almost 20 years. While a consultant to one of the country’s largest coatings conglomerates, he wrote answers to over 8,000 questions for the www.woodanswers.com website blog and edited the Woodworker’s Journal eZine, an award-winning online woodworking magazine with over a quarter of a million subscribers.
Forget the tape measure. Leave the fractions, decimals, and mathematics behind. Long before the tape measure was a universal adornment on the woodworker’s belt, people designed furniture, houses, bridges, and cathedrals using nothing more than simple whole number ratios. This slender tome will show you how to do just that and will entertain you along the way.
Cartoon character, "Journeyman" and his dog, "Snidely" teach the basics of furniture making. Geometry is a major component of the instruction plus the basic tools of the trade are explained and applied to this art. A novice will truly learn the craft while an experienced carpenter will find this enjoyable reading.
I'm a British writer, (though I now live and work in California) and a Stanford professor who is passionate about helping everyone know they have endless potential and that math is a subject of creativity, connections, and beautiful ideas. I spend time battling against math elitism, systemic racism, and the other barriers that have stopped women and people of color from going forward in STEM. I am the cofounder of youcubed, a site that inspires millions of educators and their students, with creative mathematics and mindset messages. I've also made a math app, designed to help students feel good about struggling, called Struggly.com. I love to write books that help people develop their mathematical superpowers!
I love all of Eugenia’s books, she is a cool mathematician working to educate the public about real mathematics – a subject of deep explorations and connected ideas.
Eugenia shares the creativity in mathematics, and the importance of pushing against boundaries, including the gender boundaries that often stop girls and women going forward in STEM. Her playful use of mathematical ideas to disrupt the myths of narrow and inequitable mathematics and the dominance of men in the field, is so fascinating, especially for those of us perturbed by the inequities in STEM.
This is a great book for those who would like to love mathematics a little more than they do now.
One of the world’s most creative mathematicians offers a new way to look at math—focusing on questions, not answers
Where do we learn math: From rules in a textbook? From logic and deduction? Not really, according to mathematician Eugenia Cheng: we learn it from human curiosity—most importantly, from asking questions. This may come as a surprise to those who think that math is about finding the one right answer, or those who were told that the “dumb” question they asked just proved they were bad at math. But Cheng shows why people who ask questions like “Why does 1 +…
