Here are 100 books that Introduction to Classical and Quantum Computing fans have personally recommended if you like
Introduction to Classical and Quantum Computing.
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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.
I like Prof. Cohen's book because it includes computational examples based on Python and NumPy to illustrate each concept. This is the way I like to think about linear algebra concepts.
Yes, it's important to understand the formulas and theoretical ideas, but applying linear algebra operations in the real world will always involve some computational platform and not pen and paper. This is the only book I know that shows readers the practical computational linear algebra in parallel with the theory.
The author provides computational notebooks for each chapter on GitHub, which makes it easy to explore all the material from a code-first computational perspective.
Linear algebra is perhaps the most important branch of mathematics for computational sciences, including machine learning, AI, data science, statistics, simulations, computer graphics, multivariate analyses, matrix decompositions, signal processing, and so on. The way linear algebra is presented in traditional textbooks is different from how professionals use linear algebra in computers to solve real-world applications in machine learning, data science, statistics, and signal processing. For example, the "determinant" of a matrix is important for linear algebra theory, but should you actually use the determinant in practical applications? The answer may surprise you! If you are interested in learning the mathematical…
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…
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'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 am an academic researcher and an avid non-fiction reader. There are many popular books on science or music, but it’s much harder to find texts that manage to occupy the space between popular and professional writing. I’ve always been looking for this kind of book, whether on physics, music, AI, or math – even when I knew that as a non-pro, I wouldn’t be able to understand everything. In my new book I’ve been trying to accomplish something similar: A book that can intrigue readers who are not professional economic theorists, that they will find interesting even if they can’t follow everything.
A simple (not perfect) test of whether you’re going to love this book: Just check out the author’s blog, called “shtetl-optimized”. The style is similar: sharp, funny, mixing professional theoretical Computer Science with broader takes.
I am still in the middle of the book, and nevertheless, I’m happy to recommend it. As an amateur with superficial CS knowledge, I am enjoying this introduction to classical complexity theory and the basic theory of quantum computation.
Aaronson’s distinctive style makes the ride all the more enjoyable. It’s neither a “real” textbook nor a pop-science book. It’s in a weird space somewhere in between, and I love it!
Written by noted quantum computing theorist Scott Aaronson, this book takes readers on a tour through some of the deepest ideas of maths, computer science and physics. Full of insights, arguments and philosophical perspectives, the book covers an amazing array of topics. Beginning in antiquity with Democritus, it progresses through logic and set theory, computability and complexity theory, quantum computing, cryptography, the information content of quantum states and the interpretation of quantum mechanics. There are also extended discussions about time travel, Newcomb's Paradox, the anthropic principle and the views of Roger Penrose. Aaronson's informal style makes this fascinating book accessible…
I am a professor of physics, passionate about researching physics and inspiring non-scientists to enjoy learning about physics. My research addresses how to use quantum physics to accelerate the development of quantum information science including quantum computing, quantum communications, and quantum measurement. My current projects are in developing quantum satellite communications, increasing the precision of telescopes, and constructing a quantum version of the Internet—the Quantum Internet. These topics revolve around quantum optics—the study of how light interacts with matter. I originated the idea of a National Quantum Initiative and lobbied the U.S. Congress to pass it into law, resulting in large investments in the new, exciting field of quantum technology.
This masterful book goes one step further and presents a game-based analogy that goes a long way toward explaining how a quantum computer actually works. Working through the book, one gains an understanding of how qubits can be quantum entangled and how entanglement leads to computing tasks that could not be performed on an ordinary computer. Deceptively simple in appearance, the method leads you deep into the inner workings of quantum logic operations without realizing you are digesting some pretty advanced concepts. The author knows of what he writes, as his theoretical discoveries led to one of the world’s most ambitious quantum computing efforts.
COMPUTING. ENTANGLEMENT. REALITY. Books containing these three words are typically fluff or incomprehensible; this one is not. "Q is for Quantum" teaches a theory at the forefront of modern physics to an audience presumed to already know only basic arithmetic. Topics covered range from the practical (new technologies we can expect soon) to the foundational (old ideas that attempt to make sense of the theory). The theory is built up precisely and quantitatively. Deceptively vague jargon and analogies are avoided, and mysterious features of the theory are made explicit and not skirted. The tenacious reader will emerge with a better…
I am a professor of philosophy at New York University, but my interests have always fallen at the intersection of physics and philosophy. Unable to commit to just one side or the other, I got a joint degree in Physics and Philosophy from Yale and a PhD in History and Philosophy of Science at the University of Pittsburgh. My fascination with Bell’s Theorem began when I read an article in Scientific American in 1979, and I have been trying to get to the bottom of things ever since. My most recent large project is a Founder and Director of the John Bell Institute for the Foundations of Physics.
John Bell’s theorem about the unavoidability of what Einstein called “spooky action-at-a-distance” in quantum mechanics set off the second quantum revolution, leading to quantum computation, quantum cryptography, and quantum teleportation among other insights. This book collects Bell’s most important papers which range in style from professionally mathematical to popular and intuitive, so there is something for everyone. Beginners can start with “Quantum Mechanics for Cosmologists” or “Six Possible Worlds of Quantum Mechanics” or “Bertlmann’s Socks and the Nature of Reality” or “La Nouvelle Cuisine”. Experts can learn from “Against ‘Measurement’”. People interested in the mathematical details can find them, and people scared by math can largely avoid them.
John Bell, FRS was one of the leading expositors and interpreters of modern quantum theory. He is particularly famous for his discovery of the crucial difference between the predictions of conventional quantum mechanics and the implications of local causality, a concept insisted on by Einstein. John Bell's work played a major role in the development of our current understanding of the profound nature of quantum concepts and of the fundamental limitations they impose on the applicability of the classical ideas of space, time and locality. This book includes all of John Bell's published and unpublished papers on the conceptual and…
I am a professor of physics, passionate about researching physics and inspiring non-scientists to enjoy learning about physics. My research addresses how to use quantum physics to accelerate the development of quantum information science including quantum computing, quantum communications, and quantum measurement. My current projects are in developing quantum satellite communications, increasing the precision of telescopes, and constructing a quantum version of the Internet—the Quantum Internet. These topics revolve around quantum optics—the study of how light interacts with matter. I originated the idea of a National Quantum Initiative and lobbied the U.S. Congress to pass it into law, resulting in large investments in the new, exciting field of quantum technology.
Now we are getting to the modern era, where physics meets computing in ways never dreamed of by the founders of quantum physics. Seth Lloyd is a professor at MIT and one of the first to prove that quantum theory admits the possibility of building computers on wholly quantum foundations. He is also one of the most creative and engaging writers on the subject. His main message is that information is the basis of all things physical. From quantum bits or qubits to cosmology, this book has it all, and is written in a highly accessible way. Not a single equation can be found.
The universe is made of bits of information and it has been known for more than a century that every piece of the the universe - every electron, atom and molecule - registers these bits and that information. It is only in the last years, however, with the discovery and development of quantum computers, that scientists have gained a fundamental understanding of just how that information is registered and processed.
Building on recent breakthroughs in quantum computation, Seth Lloyd shows how the universe itself is a giant computer. Every atom and elementary particle stores…
I played semi-professional baseball in France in 1986. If your baseball career has brought you to France, you should be rethinking your professional aspirations. No problem, I thought. I will write. I like to write. To my dismay, publishers were not fans of novels about French baseball players. The world of espionage I became acquainted with in Europe, however….
Ignatius’s most recent novel is in many respects a mashup of books no. 1 and 2 on this list: terrific storytelling and the latest spy recent tech: You’ll conclude that it’s just a matter of time until “bad actors” (spy speak for “bad guys”) can hack your brain. At the same time, you’ll enjoy the story.
A hyper-fast quantum computer is the digital equivalent of a nuclear bomb; whoever possesses one will be able to shred any encryption and break any code in existence. The question is: who will build one first, the U.S. or China?
In this gripping thriller, U.S. quantum research labs are compromised by a suspected Chinese informant, inciting a mole hunt of history-altering proportions. CIA officer Harris Chang leads the charge, pursuing his target from Singapore to Mexico and beyond. Do the leaks expose real secrets, or are they false trails meant to deceive the Chinese? The answer forces Chang to question…
Saying just the right words in just the right way can cause a box of electronics to behave however you want it to behave… that’s an idea that has captivated me ever since I first played around with a computer at Radio Shack back in 1979. I’m always on the lookout for compelling ways to convey the topic to people who are open-minded, but maybe turned off by things that are overly technical. I teach computer science and study artificial intelligence as a way of expanding what we can get computers to do on our behalf.
The fields of Psychology, Economics, and Biology are well-known for offering interesting and informative introductory courses that provide a doorway into the area for budding scientists but also essential background knowledge appropriate for any educated person.
In Computer Science, we don't really do things that way. I wanted to offer a new kind of Computer Science introductory course that laid out the coolest ideas we have to offer along with compelling descriptions of why they matter.
I ended up using this book as the required reading in the class I built because it tells a personal, moving story while taking the reader from the nuts and bolts of bits and bytes all the way up to cutting-edge ideas surrounding artificial intelligence. It's a great read! Plus, it's short so I thought I could get my students to actually finish it.
Most people are baffled by how computers work and assume that they will never understand them. What they don't realize,and what Daniel Hillis's short book brilliantly demonstrates,is that computers'seemingly complex operations can be broken down into a few simple parts that perform the same simple procedures over and over again. Computer wizard Hillis offers an easy-to-follow explanation of how data is processed that makes the operations of a computer seem as straightforward as those of a bicycle.Avoiding technobabble or discussions of advanced hardware, the lucid explanations and colourful anecdotes in The Pattern on the Stone go straight to the heart…
