Computers in Science and Mathematics, Revised Edition


Book Description

Computers in Science and Mathematics, Revised Edition examines notable contributions to the advancement of computer technology, as well as the many ways in which scientists and mathematicians use computers in their daily work. This newly revised edition places a focus on the development of computer hardware and software, the theory underlying the design of computer systems, and the use of computers to advance science and mathematics. Computers in Science and Mathematics, Revised Edition also provides a history of computers as scientific and mathematical tools, followed by examples of how computers are used to solve an increasingly wide range of scientific and mathematical problems. Chapters include: Before Computers: Mechanizing Arithmetic, Counting, and Sorting Early Computers: Automating Computation Cryptography: Sending Secret Messages Mathematical Proofs: Computers Find Truth Simulation: Creating Worlds Inside a Computer Weather: Mapping the Past, Predicting the Future Computer-Inspired Biology: Making Computers from Living Things Biology-Inspired Computing: Learning from Nature Recent Developments.




Phase Change


Book Description

Robertson's earlier work, The New Renaissance projected the likely future impact of computers in changing our culture. Phase Change builds on and deepens his assessment of the role of the computer as a tool driving profound change by examining the role of computers in changing the face of the sciences and mathematics. He shows that paradigm shifts in understanding in science have generally been triggered by the availability of new tools, allowing the investigator a new way of seeing into questions that had not earlier been amenable to scientific probing.




Mathematics for Computer Science


Book Description

This book covers elementary discrete mathematics for computer science and engineering. It emphasizes mathematical definitions and proofs as well as applicable methods. Topics include formal logic notation, proof methods; induction, well-ordering; sets, relations; elementary graph theory; integer congruences; asymptotic notation and growth of functions; permutations and combinations, counting principles; discrete probability. Further selected topics may also be covered, such as recursive definition and structural induction; state machines and invariants; recurrences; generating functions.




Mathematics for Electronics and Computers


Book Description

This book provides a complete math course for those who want to learn technology. The book reinforces all math topics with extensive electronic and computer applications to show readers the value of math as a tool. (Midwest).




Discrete Mathematics for Computer Scientists


Book Description

Stein/Drysdale/Bogart's Discrete Mathematics for Computer Scientists is ideal for computer science students taking the discrete math course. Written specifically for computer science students, this unique textbook directly addresses their needs by providing a foundation in discrete math while using motivating, relevant CS applications. This text takes an active-learning approach where activities are presented as exercises and the material is then fleshed out through explanations and extensions of the exercises.




Computers in Science and Mathematics, Revised Edition


Book Description

Computers in Science and Mathematics, Revised Edition examines notable contributions to the advancement of computer technology, as well as the many ways in which scientists and mathematicians use computers in their daily work. This newly revised edition places a focus on the development of computer hardware and software, the theory underlying the design of computer systems, and the use of computers to advance science and mathematics. Computers in Science and Mathematics, Revised Edition also provides a history of computers as scientific and mathematical tools, followed by examples of how computers are used to solve an increasingly wide range of scientific and mathematical problems. Chapters include: Before Computers: Mechanizing Arithmetic, Counting, and Sorting Early Computers: Automating Computation Cryptography: Sending Secret Messages Mathematical Proofs: Computers Find Truth Simulation: Creating Worlds Inside a Computer Weather: Mapping the Past, Predicting the Future Computer-Inspired Biology: Making Computers from Living Things Biology-Inspired Computing: Learning from Nature Recent Developments.




Windows on Mathematical Meanings


Book Description

This book challenges some of the conventional wisdoms on the learning of mathematics. The authors use the computer as a window onto mathematical meaning-making. The pivot of their theory is the idea of webbing, which explains how someone struggling with a new mathematical idea can draw on supportive knowledge, and reconciles the individual's role in mathematical learning with the part played by epistemological, social and cultural forces.




Logic for Mathematics and Computer Science


Book Description

This text is intended for one semester courses in Logic, it can also be applied to a two semester course, in either Computer Science or Mathematics Departments. Unlike other texts on mathematical logic that are either too advanced, too sparse in examples or exercises, too traditional in coverage, or too philosophical in approach, this text provides an elementary "hands-on" presentation of important mathematical logic topics, new and old, that is readily accessible and relevant to all students of the mathematical sciences -- not just those in traditional pure mathematics.




Foundation Mathematics for Computer Science


Book Description

John Vince describes a range of mathematical topics to provide a foundation for an undergraduate course in computer science, starting with a review of number systems and their relevance to digital computers, and finishing with differential and integral calculus. Readers will find that the author's visual approach will greatly improve their understanding as to why certain mathematical structures exist, together with how they are used in real-world applications. Each chapter includes full-colour illustrations to clarify the mathematical descriptions, and in some cases, equations are also coloured to reveal vital algebraic patterns. The numerous worked examples will consolidate comprehension of abstract mathematical concepts. Foundation Mathematics for Computer Science covers number systems, algebra, logic, trigonometry, coordinate systems, determinants, vectors, matrices, geometric matrix transforms, differential and integral calculus, and reveals the names of the mathematicians behind such inventions. During this journey, John Vince touches upon more esoteric topics such as quaternions, octonions, Grassmann algebra, Barycentric coordinates, transfinite sets and prime numbers. Whether you intend to pursue a career in programming, scientific visualisation, systems design, or real-time computing, you should find the author’s literary style refreshingly lucid and engaging, and prepare you for more advanced texts.




Mindstorms


Book Description

In this revolutionary book, a renowned computer scientist explains the importance of teaching children the basics of computing and how it can prepare them to succeed in the ever-evolving tech world. Computers have completely changed the way we teach children. We have Mindstorms to thank for that. In this book, pioneering computer scientist Seymour Papert uses the invention of LOGO, the first child-friendly programming language, to make the case for the value of teaching children with computers. Papert argues that children are more than capable of mastering computers, and that teaching computational processes like de-bugging in the classroom can change the way we learn everything else. He also shows that schools saturated with technology can actually improve socialization and interaction among students and between students and teachers. Technology changes every day, but the basic ways that computers can help us learn remain. For thousands of teachers and parents who have sought creative ways to help children learn with computers, Mindstorms is their bible.