Recent advances in hardware performance and software technology have made possible a wholly different approach to computational mathematics. Symbolic computation systems have revolutionized the field, building upon established and recent mathematical theory to open new possibilities in virtually every industry. Formerly dubbed Scratchpad, AXIOM is a powerful new symbolic and numerical system developed at the IBM Thomas J. Watson Research Center. AXIOM's scope, structure, and organization make it outstanding among computer algebra systems. AXIOM: The Scientific Computation System is a companion to the AXIOM system. The text is written in a straightforward style and begins with a spirited foreword by David and Gregory Chudnovsky. The book gives the reader a technical introduction to AXIOM, interacts with the system's tutorial, accesses algorithms newly developed by the symbolic computation community, and presents advanced programming and problem solving techniques. Eighty illustrations and eight pages of color inserts accompany text detailing methods used in the 2D and 3D interactive graphics system, and over 2500 example input lines help the reader solve formerly intractable problems.

Explore the key mathematical principles, practicalities, and future implications of quantum computing with this detailed, comprehensive guide Key Features * Discover how quantum computing works and delve into the math behind it with practical examples * Explore the inner workings of existing quantum computing technologies to quickly process complex cloud data and solve problems * Learn about the most up-to-date quantum computing topics like encoded data in qubits and quantum machine learning Book Description Quantum computing is changing everything we know about computers from the ground up, making it a key topic to explore for anyone who wants to stay on top of technological innovation. Dancing with Qubits, Second Edition, is a comprehensive quantum computing textbook that starts with an overview of why quantum computing is so different from classical computing and describes several industry use cases where it can have a major impact. A fuller description of classical computing and the mathematical underpinnings will follow, helping you better understand concepts as superposition, entanglement, and interference. Next up is circuits and algorithms, both basic and more sophisticated, as well as a survey of the physics and engineering ideas behind how quantum computing hardware is built. Finally, the book looks to the future and gives you guidance on understanding how further developments will affect you. This new edition has a bigger focus on practical examples, alongside new chapters on encoding data, NISQ algorithm, and quantum ML. Understanding quantum computing requires a lot of math, and this book doesn't shy away from the necessary math concepts you'll need. Each topic is explained thoroughly and with helpful examples, leaving you with a solid foundation in quantum computing that will help you pursue and leverage quantum-led technologies. What you will learn * Explore the mathematical foundations of quantum computing * Discover the complex, mind-bending mechanics that underpin quantum systems * Understand the necessary concepts behind classical and quantum computing * Refresh and extend your grasp of essential mathematics, computing, and quantum theory * Explore the main applications of quantum computing to the fields of scientific computing, AI, and elsewhere * Examine a detailed overview of qubits, quantum circuits, and quantum algorithm Who This Book Is For Dancing with Qubits, Second Edition, is a quantum computing textbook for all those who want to deeply explore the inner workings of quantum computing. This entails some sophisticated mathematical exposition and is therefore best suited for those with a healthy interest in mathematics, physics, engineering, and computer science.

Develop skills in Python and Quantum Computing by implementing exciting algorithms, mathematical functions, classical searching, data analysis, plotting data, machine learning techniques, and quantum circuits. Key Features Create quantum circuits and algorithms using Qiskit and run them on quantum computing hardware and simulators Learn the Pythonic way to write elegant and efficient code Delve into Python's advanced features, including machine learning, analyzing data, and searching Book DescriptionDancing with Python helps you learn Python and quantum computing in a practical way. It will help you explore how to work with numbers, strings, collections, iterators, and files. The book goes beyond functions and classes and teaches you to use Python and Qiskit to create gates and circuits for classical and quantum computing. Learn how quantum extends traditional techniques using the Grover Search Algorithm and the code that implements it. Dive into some advanced and widely used applications of Python and revisit strings with more sophisticated tools, such as regular expressions and basic natural language processing (NLP). The final chapters introduce you to data analysis, visualizations, and supervised and unsupervised machine learning. By the end of the book, you will be proficient in programming the latest and most powerful quantum computers, the Pythonic way. What you will learn Explore different quantum gates and build quantum circuits with Qiskit and Python Write succinct code the Pythonic way using magic methods, iterators, and generators Analyze data, build basic machine learning models, and plot the results Search for information using the quantum Grover Search Algorithm Optimize and test your code to run efficiently Who this book is forThe book will help you get started with coding for Python and Quantum Computing. Basic familiarity with algebra, geometry, trigonometry, and logarithms is required as the book does not cover the detailed mathematics and theory of quantum computing. You can check out the author's Dancing with Qubits book, also published by Packt, for an approachable and comprehensive introduction to quantum computing.

Explore the principles and practicalities of quantum computing Key Features * Discover how quantum computing works and delve into the math behind it with this quantum computing textbook * Learn how it may become the most important new computer technology of the century * Explore the inner workings of quantum computing technology to quickly process complex cloud data and solve problems Book Description Quantum computing is making us change the way we think about computers. Quantum bits, a.k.a. qubits, can make it possible to solve problems that would otherwise be intractable with current computing technology. Dancing with Qubits is a quantum computing textbook that starts with an overview of why quantum computing is so different from classical computing and describes several industry use cases where it can have a major impact. From there it moves on to a fuller description of classical computing and the mathematical underpinnings necessary to understand such concepts as superposition, entanglement, and interference. Next up is circuits and algorithms, both basic and more sophisticated. It then nicely moves on to provide a survey of the physics and engineering ideas behind how quantum computing hardware is built. Finally, the book looks to the future and gives you guidance on understanding how further developments will affect you. Really understanding quantum computing requires a lot of math, and this book doesn't shy away from the necessary math concepts you'll need. Each topic is introduced and explained thoroughly, in clear English with helpful examples. What you will learn * See how quantum computing works, delve into the math behind it, what makes it different, and why it is so powerful with this quantum computing textbook * Discover the complex, mind-bending mechanics that underpin quantum systems * Understand the necessary concepts behind classical and quantum computing * Refresh and extend your grasp of essential mathematics, computing, and quantum theory * Explore the main applications of quantum computing to the fields of scientific computing, AI, and elsewhere * Examine a detailed overview of qubits, quantum circuits, and quantum algorithm Who this book is for Dancing with Qubits is a quantum computing textbook for those who want to deeply explore the inner workings of quantum computing. This entails some sophisticated mathematical exposition and is therefore best suited for those with a healthy interest in mathematics, physics, engineering, and computer science.