Here are 100 books that A Mind For Numbers fans have personally recommended if you like
A Mind For Numbers.
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I'm a writer, programmer, traveler and avid reader of interesting things. For the last ten years I've been experimenting to find out how to learn and think better. I don't promise I have all the answers, just a place to start.
The best book for college students, Newport wrote the book by looking at top-scoring, relaxed students and observing what they used to study. His findings mostly back up my own book, Ultralearning, which points to the importance of active recall over review, solving problem sets in technical classes and Quiz and Recall for essay-based classes.
Most college students believe that straight A’s can be achieved only through cramming and painful all-nighters at the library. But Cal Newport knows that real straight-A students don’t study harder—they study smarter. A breakthrough approach to acing academic assignments, from quizzes and exams to essays and papers, How to Become a Straight-A Student reveals for the first time the proven study secrets of real straight-A students across the country and weaves them into a simple, practical system that anyone can master.
You will learn how to:
• Streamline and maximize your study time • Conquer…
Though I’ve coached endurance athletes to world championships, I’m an expert on not working out. It’s what you do when you’re not training that matters most! All the books on this list teach habits that help you relax about things that don’t matter while guiding you to define what does matter and explaining ways to most efficiently focus your energies there. This jibes with my work as a yoga teacher: we seek to find the right application of effort, and to layer in ease wherever possible. I don’t think it’s stretching too much to call each book on the list both a work of philosophy and also a deeply practical life manual.
I think about this book every day, even though it was written almost 25 years ago, and the edition I read explained how to manage your paper file folders! (One of my most-used apps, the to-do manager Things, is built on this system.)
I love how much time this book has saved me as I juggle running several businesses, staying active in my hobbies, and running a household. Allen’s approach to capturing your ideas and then deciding how to organize them so that you can keep track of what needs your attention is both simple and really profound.
For athletes who need to be as efficient as possible to reserve time and energy for training, this book is a lifesaver.
The book Lifehack calls "The Bible of business and personal productivity."
"A completely revised and updated edition of the blockbuster bestseller from 'the personal productivity guru'"-Fast Company
Since it was first published almost fifteen years ago, David Allen's Getting Things Done has become one of the most influential business books of its era, and the ultimate book on personal organization. "GTD" is now shorthand for an entire way of approaching professional and personal tasks, and has spawned an entire culture of websites, organizational tools, seminars, and offshoots.
Allen has rewritten the book from start to finish, tweaking his classic text…
I'm a writer, programmer, traveler and avid reader of interesting things. For the last ten years I've been experimenting to find out how to learn and think better. I don't promise I have all the answers, just a place to start.
Harvard-educated cognitive scientist Daniel Willingham is one of the foremost experts in educational psychology. While the title of this book may not sound so appealing, it’s really a tight summary of some of the most important principles of psychology to learning more effectively. Willingham’s blog and other books are also excellent resources for someone who wants to understand how to learn well.
Easy-to-apply, scientifically-based approaches for engaging students in the classroomCognitive scientist Dan Willingham focuses his acclaimed research on the biological and cognitive basis of learning. His book will help teachers improve their practice by explaining how they and their students think and learn. It reveals-the importance of story, emotion, memory, context, and routine in building knowledge and creating lasting learning experiences. * Nine, easy-to-understand principles with clear applications for the classroom * Includes surprising findings, such as that intelligence is malleable, and that you cannot develop "thinking skills" without facts * How an understanding of the brain's workings can help teachers…
When I was in middle school, I’d spend much of my time in class daydreaming. Imagining myself in, say, a debate with someone I disagree with and going through a litany of scenarios where I’d try to convince that other person to change their mind. It’s a lot of fun. (My teachers would likely disagree.) When I grew older, I did more of that on my daily walks, and then about 11 years ago, I decided to start writing about creative ways to teach someone something they’re vehemently opposed to or just ambivalent about. I’ve published four books since then on this topic.
I read this book during my last year in college. I finished it in one day and figured there was no better personification for teaching in an unconventional way than the charismatic Richard Feynman.
I loved the story in one chapter about people attending his talks, being totally mesmerized, and then not being able to say what the lesson was about afterward. How we say something really is more important than what we say.
Richard P. Feynman, winner of the Nobel Prize in physics, thrived on outrageous adventures. In this lively work that "can shatter the stereotype of the stuffy scientist" (Detroit Free Press), Feynman recounts his experiences trading ideas on atomic physics with Einstein and cracking the uncrackable safes guarding the most deeply held nuclear secrets-and much more of an eyebrow-raising nature. In his stories, Feynman's life shines through in all its eccentric glory-a combustible mixture of high intelligence, unlimited curiosity, and raging chutzpah.
Included for this edition is a new introduction by Bill Gates.
I've been teaching math and physics for more than 20 years as a private tutor. During this time, I experimented with different ways to explain concepts to make them easy to understand. I'm a big fan of using concept maps to show the connections between concepts and teaching topics in an integrated manner, including prerequisites and applications. While researching the material for my book, I read dozens of linear algebra textbooks and watched hundreds of videos, looking for the best ways to explain complicated concepts intuitively. I've tried to distill the essential ideas of linear algebra in my book and prepared this list to highlight the books I learned from.
In my opinion, Prof. Axler's book is the best way to learn the formal proofs of linear algebra theorems.
My undergraduate studies were in engineering, so I never learned the proofs. This is why I chose this book to solidify my understanding of the material; it didn't disappoint! Already, in the first few chapters, I learned new things about concepts that I thought I understood.
The book contains numerous exercises which were essential for the learning process. I went through the exercises with a group of friends, which helped me stay motivated. It wasn't easy, but all the time I invested in the proofs was rewarded by a solid understanding of the material.
I highly recommend this book as a second book on linear algebra.
This best-selling textbook for a second course in linear algebra is aimed at undergrad math majors and graduate students. The novel approach taken here banishes determinants to the end of the book. The text focuses on the central goal of linear algebra: understanding the structure of linear operators on finite-dimensional vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra.
The third edition contains major improvements and revisions throughout the book. More than 300 new exercises have…
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.
I've been teaching math and physics for more than 20 years as a private tutor. During this time, I experimented with different ways to explain concepts to make them easy to understand. I'm a big fan of using concept maps to show the connections between concepts and teaching topics in an integrated manner, including prerequisites and applications. While researching the material for my book, I read dozens of linear algebra textbooks and watched hundreds of videos, looking for the best ways to explain complicated concepts intuitively. I've tried to distill the essential ideas of linear algebra in my book and prepared this list to highlight the books I learned from.
This book has been a bit of an inspiration for me, and I use it regularly as a reference.
First of all, the content is complete and covers all the standard topics, including complete proofs. I like Heffron's book particularly because of the comprehensive exercises with complete worked solutions. It's hard to over-emphasize the importance of solving problems when learning, and this book has A LOT of them, which makes it an excellent choice for anyone learning on their own.
The author also provides lots of bonus material through his website, including slides, homework assignments, and a video lecture series. Last but not least, the entire book is released under an open license, allowing instructors to adapt and customize the material.
The approach is developmental. Although it covers the requisite material by proving things, it does not assume that students are already able at abstract work. Instead, it proceeds with a great deal of motivation, many computational examples, and exercises that range from routine verifications to (a few) challenges. The goal is, in the context of developing the usual material of an undergraduate linear algebra course, to help raise each student's level of mathematical maturity.
I've been teaching math and physics for more than 20 years as a private tutor. During this time, I experimented with different ways to explain concepts to make them easy to understand. I'm a big fan of using concept maps to show the connections between concepts and teaching topics in an integrated manner, including prerequisites and applications. While researching the material for my book, I read dozens of linear algebra textbooks and watched hundreds of videos, looking for the best ways to explain complicated concepts intuitively. I've tried to distill the essential ideas of linear algebra in my book and prepared this list to highlight the books I learned from.
Prof. Strang has been teaching linear algebra at MIT for more than 60 years! This wealth of experience shines through in his book, which covers all the standard concepts using clear and concise explanations that have been polished through time and contain just the right amount of details.
The book is accompanied by a whole course of video lectures available through MIT OpenCourseWare or via YouTube. I learned a lot from Prof. Strang's approach to teaching; in particular, I appreciate the visualization of the fundamental theorem of linear algebra and his explanation of the matrix-vector product from the column picture and the row picture.
If you want to learn linear algebra, you can't go wrong with this classic.
Linear algebra is something all mathematics undergraduates and many other students, in subjects ranging from engineering to economics, have to learn. The fifth edition of this hugely successful textbook retains all the qualities of earlier editions, while at the same time seeing numerous minor improvements and major additions. The latter include: • A new chapter on singular values and singular vectors, including ways to analyze a matrix of data • A revised chapter on computing in linear algebra, with professional-level algorithms and code that can be downloaded for a variety of languages • A new section on linear algebra and…
If you want to know what conducting an orchestra is like, you ask a conductor. If you want to know what being a mathematician is like, you ask a mathematician. I have been studying, researching, and teaching mathematics (mainly at Cambridge but also in France and elsewhere) for a lifetime and loved (almost) every moment of it. In the words of Constance Reid, `Mathematicians are people who devote their lives to what seems to me a wonderful kind of play.'
This book is out of print, but I include it in the hope that some public-spirited publisher may be persuaded to reissue this large-format picture book. It was the first book on mathematics that I read at about the age of ten and it contained precisely what I needed to show me that this was a subject with a history and a use. (Nor am I the only mathematician to have this experience.)
As an adult, I found the same author’s Mathematics for the Million a bit crass and utilitarian but I pardon him everything for a wonderful first experience.
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it.
This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.
Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been…
Having majored in both philosophy and physics as an undergraduate, I specialized in the philosophy of science in graduate school–with a focus on the possibility of a “logic of scientific discovery.” Most philosophers of science have been skeptical about such a sub-discipline, restricting their theories of scientific method to the justification of already-formulated hypotheses. Others (including myself) have held that there is also a logic to the generation of hypotheses.
This is a fascinating analysis of the works of Copernicus, Kepler, Galileo, Descartes, Hobbes, Gilbert, Boyle, and Newton. It not only establishes the reasons for the triumph of the modern perspective but also accounts for certain limitations in this view that continue to characterize contemporary scientific thought.
A criticism as well as a history of the change that made possible the rise of modern science, this volume is also a guide to understanding the methods and accomplishments of the great philosopher-scientists of the sixteenth and seventeenth centuries.
s/t: A Historical & Critical Essay Many books well received when originally published ultimately fail the test of time & seem outdated to future generations. Occasionally, a book seen as a solid effort when written is found later to be the definitive work on the subject. The Metaphysical Foundations of Modern Science by Edwin Arthur Burtt is such. Burtt investigates the origins of the modern scientific worldview, a view that's only a few centuries old. Concepts used to describe the world--mass, velocity, energy, time etc--form the substratum of so many modern ideas that their very ubiquity has made it hard…
