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.




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.




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).




Science, Computers, and People


Book Description

STANISLAW MARCIN ULAM, or Stan as his friends called him, was one of those great creative mathematicians whose interests ranged not only over all fields of mathematics, but over the physical and biological sciences as well. Like his good friend "Johnny" von Neumann, and unlike so many of his peers, Ulam is unclassifiable as a pure or applied mathematician. He never ceased to find as much beauty and excitement in the applications of mathematics as in working in those rarefied regions where there is a total un concern with practical problems. In his Adventures of a Mathematician Ulam recalls playing on an oriental carpet when he was four. The curious patterns fascinated him. When his father smiled, Ulam remembers thinking: "He smiles because he thinks I am childish, but I know these are curious patterns. I know something my father does not know." The incident goes to the heart of Ulam's genius. He could see quickly, in flashes of brilliant insight, curious patterns that other mathematicians could not see. "I am the type that likes to start new things rather than improve or elaborate," he wrote. "I cannot claim that I know much of the technical material of mathematics.




Where Mathematics, Computer Science, Linguistics and Biology Meet


Book Description

In the last years, it was observed an increasing interest of computer scientists in the structure of biological molecules and the way how they can be manipulated in vitro in order to define theoretical models of computation based on genetic engineering tools. Along the same lines, a parallel interest is growing regarding the process of evolution of living organisms. Much of the current data for genomes are expressed in the form of maps which are now becoming available and permit the study of the evolution of organisms at the scale of genome for the first time. On the other hand, there is an active trend nowadays throughout the field of computational biology toward abstracted, hierarchical views of biological sequences, which is very much in the spirit of computational linguistics. In the last decades, results and methods in the field of formal language theory that might be applied to the description of biological sequences were pointed out.




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.




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.