Here are 100 books that Conceptual Mathematics fans have personally recommended if you like
Conceptual Mathematics.
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I hate nothing more than feeling uncertain about my views on an important topic. That’s why I cherish tools for thought that help me cut through the various confusions to which humans are prone. The sharpest tool we’ve got is modern symbolic logic, as it has been developed since the late 19th century. I’ve loved symbolic logic since I took my first logic class in college. I’ve been teaching Intro Logic for over twenty years at Princeton University, and I’ve published several papers and books that employ logic to try to gain clarity on philosophical issues.
A true gem in the realm of symbolic logic textbooks, this book stands out for its crystal-clear explanations and elegant English prose. It’s my top recommendation for anyone coming from a humanities background or returning to academia after a break.
Tomassi’s writing makes symbolic logic both accessible and engaging.
Bringing elementary logic out of the academic darkness into the light of day, Paul Tomassi makes logic fully accessible for anyone attempting to come to grips with the complexities of this challenging subject. Including student-friendly exercises, illustrations, summaries and a glossary of terms, Logic introduces and explains:
* The Theory of Validity * The Language of Propositional Logic * Proof-Theory for Propositional Logic * Formal Semantics for Propositional Logic including the Truth-Tree Method * The Language of Quantificational Logic including the Theory of Descriptions.
Logic is an ideal textbook for any logic student: perfect for revision, staying on top of…
The Victorian mansion, Evenmere, is the mechanism that runs the universe.
The lamps must be lit, or the stars die. The clocks must be wound, or Time ceases. The Balance between Order and Chaos must be preserved, or Existence crumbles.
Appointed the Steward of Evenmere, Carter Anderson must learn the…
I hate nothing more than feeling uncertain about my views on an important topic. That’s why I cherish tools for thought that help me cut through the various confusions to which humans are prone. The sharpest tool we’ve got is modern symbolic logic, as it has been developed since the late 19th century. I’ve loved symbolic logic since I took my first logic class in college. I’ve been teaching Intro Logic for over twenty years at Princeton University, and I’ve published several papers and books that employ logic to try to gain clarity on philosophical issues.
One of my teachers once described this as "the best book with the most misleading title." Despite the title, it’s not about physics—it’s about the symbolic reasoning that underpins theoretical physics.
If you’re looking for a fast-paced overview of the mathematical tools used in cutting-edge physics, this book is unparalleled.
Mathematical Physics is an introduction to such basic mathematical structures as groups, vector spaces, topological spaces, measure spaces, and Hilbert space. Geroch uses category theory to emphasize both the interrelationships among different structures and the unity of mathematics. Perhaps the most valuable feature of the book is the illuminating intuitive discussion of the "whys" of proofs and of axioms and definitions. This book, based on Geroch's University of Chicago course, will be especially helpful to those working in theoretical physics, including such areas as relativity, particle physics, and astrophysics.
I hate nothing more than feeling uncertain about my views on an important topic. That’s why I cherish tools for thought that help me cut through the various confusions to which humans are prone. The sharpest tool we’ve got is modern symbolic logic, as it has been developed since the late 19th century. I’ve loved symbolic logic since I took my first logic class in college. I’ve been teaching Intro Logic for over twenty years at Princeton University, and I’ve published several papers and books that employ logic to try to gain clarity on philosophical issues.
Although I’m not a programmer, I couldn’t leave programming—a quintessential example of symbolic reasoning—off this list. For someone like me, with a background in mathematics and philosophy, this book provides a concrete look at how abstract reasoning can be applied in programming.
For programmers, it’s an engaging introduction to category theory. This is a brilliant example of interdisciplinary thinking at its best.
Magical realism meets the magic of Christmas in this mix of Jewish, New Testament, and Santa stories–all reenacted in an urban psychiatric hospital!
On locked ward 5C4, Josh, a patient with many similarities to Jesus, is hospitalized concurrently with Nick, a patient with many similarities to Santa. The two argue…
As a kid I read every popular math book I could lay my hands on. When I became a mathematician I wanted to do more than teaching and research. I wanted to tell everyone what a wonderful and vital subject math is. I started writing popular math books, and soon was up to my neck in radio, TV, news media, magazines... For 12 years I wrote the mathematical Recreations Column for Scientific American. I was only the second mathematician in 170 years to deliver the Royal Institution Christmas Lectures, on TV with a live tiger. The University changed my job description: half research, half ‘outreach’. I had my dream job.
Mathematicians are constantly baffled by the public’s lack of awareness, not just of what mathematics does, but what it is. Today’s technological society functions only because of a vast range of mathematical concepts, techniques, and discoveries, which go far beyond elementary arithmetic and algebra. This was one of the first books to tackle these misunderstandings head on. It does so by examining not just the math and what it’s used for, but the social structures, the ‘conditions of civilization’ that have brought us to this curious state: utterly dependent on math, almost universally unaware that we are.
"A passionate plea against the use of formal mathematical reasoning as a method for solving mankind's problems. . . . An antidote to the Cartesian view that mathematical and scientific knowledge will suffice to solve the central problems of human existence." — The New York Times "These cogitations can and should be read by every literate person." — Science Books and Films "A warning against being seduced or intimidated by mathematics into accepting bad science, bad policies, and bad personal decisions." — Philadelphia Inquirer Rationalist philosopher and mathematician René Descartes visualized a world unified by mathematics, in which all intellectual…
I am a Research Assistant Professor of Computer Science at Stony Brook University learning/teaching/researching mathematics/algorithms/puzzles. In these fields, I have published a book, published 15+ papers in conferences/journals, been granted a US patent, won two Outstanding Paper Awards, taught 10+ courses in 25+ offerings, and have supervised 90+ master's/bachelor students. I am a puzzle addict involved in this field for 25 years and puzzles are my religion/God. Puzzles are the main form of supreme energy in this universe that can consistently give me infinite peace.
This is one of the first books in the entire puzzles literature that gave multiple detailed solutions to several beautiful mathematical puzzles.
Some of today's most famous puzzles were either popularized or introduced in this book. For example, truck in the desert, start of the snow, the rookie electrician, hole in a sphere, captivating problem in navigation, the hunter and his dog, the counterfeit coin, and common birthdays.
This book with its multiple-solutions feature taught me that we should never stop searching for more solutions as there can always be a better solution. Furthermore, when 1- or 2-paragraph solutions were the norm, this book illustrated the beauty of having multi-page detailed solutions.
Interestingly, this book is a crowd-written book as most of the puzzles and solutions presented in this book are contributed by readers of a magazine. This implies that it is possible to write great crowd-written books.
For two decades, an international readership of workers in applied mathematics submitted their favorite puzzles to a mid-twentieth-century column, The Graham Dial. This original collection features 100 of the publication's very best problems, with themes ranging from logic and engineering situations to number theory and geometry. Each problem was specifically selected for its widely differing modes of solution, and most include several methods of solution plus assessments of their efficacy. In checking their solutions against the book's, readers may find that their interest in the puzzles increases. The search for an answer can develop into a challenge to improve upon…
I have enjoyed mathematics and writing since I’ve been a kid, not only enjoying doing research in mathematics but assisting others to appreciate and enjoy mathematics. Along the way, I’ve gained an interest in the history of mathematics and the mathematicians who created mathematics. Perhaps most important, my primary goal has been to show others how enjoyable mathematics can be. Mathematics has given me the marvelous opportunity to meet and work with other mathematicians who have a similar passion for mathematics.
Have you ever been to a mathematics lecture where the speaker wore a tuxedo and baffled the audience with his mystifying knowledge of numbers? Well, I have and the speaker was Arthur Benjamin, who combined mathematics and magic. He even displayed this knowledge with Stephen Colbert on his earlier show The Colbert Report. It is our good fortune that he describes much of this mathematical wizardry in this fascinating book.
A New York Times Bestseller Arthur Benjamin . . . joyfully shows you how to make nature's numbers dance." ,Bill Nye The Magic of Math is the math book you wish you had in school. Using a delightful assortment of examples,from ice-cream scoops and poker hands to measuring mountains and making magic squares,this book revels in key mathematical fields including arithmetic, algebra, geometry, and calculus, plus Fibonacci numbers, infinity, and, of course, mathematical magic tricks. Known throughout the world as the mathemagician," Arthur Benjamin mixes mathematics and magic to make the subject fun, attractive, and easy to understand for math…
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 because it illustrates how a deep understanding of one subject area (mathematics) can help develop a deeper understanding of another (biology). This is a common theme in my teaching. I love how the author links the two fields of mathematics and biology in a way that is accessible to people in both fields.
This book will extend the knowledge of anyone working in the interdisciplinary area of mathematical biology and encourage the reader to see the value of viewing the world through interdisciplinary eyes.
Biologists have long dismissed mathematics as being unable to meaningfully contribute to our understanding of living beings. Within the past ten years, however, mathematicians have proven that they hold the key to unlocking the mysteries of our world--and ourselves. In The Mathematics of Life, Ian Stewart provides a fascinating overview of the vital but little-recognized role mathematics has played in pulling back the curtain on the hidden complexities of the natural world--and how its contribution will be even more vital in the years ahead. In his characteristically clear and entertaining fashion, Stewart explains how mathematicians and biologists have come to…
I have taught undergraduate and PhD students physics and biophysics for 36 years, and I never get tired of it. I always look for hot new topics and everyday things that we all see but rarely notice as interesting. I also look for “how could anything like that possibly happen at all?”-type questions and the eureka moment when some idea from physics or math pries off the lid, making a seemingly insoluble problem easy. Finally, I look for the skills and frameworks that will open the most doors to students in their future work.
Steve Strogatz is our generation’s poet laureate of math. I could not put this book down because, although I use math daily, I was amazed at how Strogatz connects everything to everyday experience. Just one example: Hardly anyone gets told about “group theory” in high school because it’s “too advanced”—but here we find it beautifully illustrated with the problem of flipping your mattress twice a year.
This book will help you have your own ideas by opening your eyes to a world of things that just make better sense through the lens of careful analysis, the interplay of the visual and the symbolic, and (just enough) abstraction.
Award-winning Steven Strogatz, one of the foremost popularisers of maths, has written a witty and fascinating account of maths' most compelling ideas and how, so often, they are an integral part of everyday life.
Maths is everywhere, often where we don't even realise. Award-winning professor Steven Strogatz acts as our guide as he takes us on a tour of numbers that - unbeknownst to the unitiated - connect pop culture, literature, art, philosophy, current affairs, business and even every day life. In The Joy of X, Strogatz explains the great ideas of maths - from negative numbers to calculus, fat…
I was trained in physics and applied mathematics, but my mother—a teacher of literature and history—secured a place for the humanities in my intellectual luggage, and I finally ended up in the social sciences. One of my first encounters with economics was John Nash’s theory of bargaining, illustrating how a wealthy person will gain more from a negotiation than a pauper, thus reinforcing inequality and leading to instability. Decades later, I returned to this problem and found that relatively little had still been done to analyze it. I believe that a combination of mathematical tools and illustrations from history, literature, and philosophy is an appropriate way of approaching the complex of inequality.
Most people, when asked to name a philosopher who wrote about inequality, would think of Rousseau. Condorcet was the last of the Encyclopédistes, young enough to experience the revolution in 1789—sadly, also one of its victims.
Unlike his philosopher colleagues, he participated actively in public policymaking, first in the Ministry of Finance, later as an elected member of the Legislative Assembly after the revolution. He chaired an organization working for the abolition of slavery. He argued for equal rights for women before Olympe de Gouges and Mary Wollstonecraft had published their more well-known pamphlets. He co-authored the Declaration of the Rights of Man and of the Citizen and also wrote a proposal for new constitution for France.
Most importantly, he realized the fundamental role of education as a means to reduce inequality and liberate mankind, and he even developed curricula for the various stages of a general…
A premium flagship range from Letts Educational, the brand leader in home study. The Premier series is specifically designed to be the most accessible and fresh series on the home study market and to work closely alongside the primary curriculum. The series strengthens numeracy, literacy and ICT skills from playschool right through to secondary school. Each book covers thirty topics to provide thorough revision and a solid learning foundation, and comes with twenty flashcards to give additional visual stimulus for key concepts.
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…
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.
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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…
