No other volume provides as broad, as thorough, or as accessible an introduction to the realm of computer science as A. K. Dewdney's The Turing Omnibus. For everyone from the curious beginner to the working professional, The New Turing Omnibus offers 66 concise, brilliantly written mathematically oriented articles on the major points of interest in computer science theory, technology, and applications. Foundational for this tour: information on algorithms, detecting primes, noncomputable functions, and self-replicating computers--plus fundamental sections on the Mandelbrot set, genetic…mehr
No other volume provides as broad, as thorough, or as accessible an introduction to the realm of computer science as A. K. Dewdney's The Turing Omnibus. For everyone from the curious beginner to the working professional, The New Turing Omnibus offers 66 concise, brilliantly written mathematically oriented articles on the major points of interest in computer science theory, technology, and applications. Foundational for this tour: information on algorithms, detecting primes, noncomputable functions, and self-replicating computers--plus fundamental sections on the Mandelbrot set, genetic algorithms, the Newton-Raphson Method, neural networks that learn, DOS systems for personal computers, and computer viruses.
Preface Icons ALGORITHMS Cooking Up Programs FINITE AUTOMATA The Black Box SYSTEMS OF LOGIC Boolean Bases SIMULATION The Monte Carlo Method GÖDEL'S THEOREM Limits on Logic GAME TRESS The Minimax Method THE COMSKY HIERARCHY Four Computers RANDOM NUMBERS The Chaitin-Kolmogoroff Theory MATHEMATICAL RESEARCH The Mandelbrot Set PROGRAM CORRECTNESS Ultimate Debugging SEARCH TRESS Traversal and Maintenance ERROR-CORRECTING CODE Pictures from Space BOOLEAN LOGIC Expressions and Circuits REGULAR LANGUAGE Pumping Words TIME AND SPACE COMPLEXITY The Big-0 Notation GENETIC ALGORITHMS Solutions That Evolve THE RANDOM ACCESS MACHINE An Abstract Computer SPINAL CURVES Smooth Interpolation COMPUTER VISION Polyhedral Scenes KARNAUGH MAPS Circuit Minimization THE NEWTON-RAPHSON METHOD Finding Roots MINIMUM SPANNING TREES A Fast Algorithm GENERATIVE GRAMMARS Lindenmayer Systems RECURSION The Sierpinski Curve FAST MULTIPLICATION Divide and Conquer NONDETERMINISM Automata That Guess Correctly PERCEPTIONS A Lack of Vision ENCODERS AND MULTIPLEXERS Manipulating Memory CAT SCANNING Cross-Sectional X-Rays TIE PARTITION PROBLEM A Pseudo-fast Algorithm TURING MACHINES The Simplest Computers THE FAST FOURIER TRANSFORM Redistributing Images ANALOG COMPUTATION Spaghetti Computers SATISFIABILITY A Central Problem SEQUENTIAL SORTING A Lower Bound on Speed NEURAL NETWORKS THAT LEARN Converting Coordinates PUBLIC KEY CRYPTOGRAPHY Intractable Secrets SEQUENTIAL CIRCUITS A Computer Memory NONCOMPUTABLE FUNCTIONS The Busy Beaver Problem HEAPS AND MERGES The Fastest Sorts of Sorts NP-COMPLETENESS Wall of Intractability NUMBER SYSTEMS FOR COMPUTING Chinese Arithmetic STORAGE BY HASHING The Key Is the Address CELLULAR AUTOMATA The Game of Life COOK'S THEOREM Nuts and Bolts SELF-REPLICATING COMPUTERS Codd's Machine STORING IMAGES A Cat in a Quad Tree THE SCRAM A Simplified Computer SHANNON'S THEORY The Elusive Codes DETECTING PRIMES An Algorithm that Almost Always Works UNIVERSAL TURING MACHINES Computers as Programs TEXT COMPRESSION Huffman Coding DISK OPERATING SYSTEMS Bootstrapping the Computer NP-COMPLETE PROBLEMS The Tree of Intractability ITERATION AND RECURSION The Towers of Hanoi VLSI COMPUTERS Circuits in Silicon LINEAR PROGRAMMING The Simplex Method PREDICATE CALCULUS The Resolution Method THE HALTING PROBLEM The Uncomputable COMPUTER VIRUSES A Software Invasion SEARCHING STRINGS The Boyer-Moore Algorithm PARALLEL COMPUTING Processors with Connections THE WORD PROBLEM Dictionaries as Programs LOGIC PROGRAMMING Prologue to Expertise RELATIONAL DATABASES Do-It-Yourself Queries CHURCH'S THESIS All Computers Are Created Equal Index
Preface Icons ALGORITHMS Cooking Up Programs FINITE AUTOMATA The Black Box SYSTEMS OF LOGIC Boolean Bases SIMULATION The Monte Carlo Method GÖDEL'S THEOREM Limits on Logic GAME TRESS The Minimax Method THE COMSKY HIERARCHY Four Computers RANDOM NUMBERS The Chaitin-Kolmogoroff Theory MATHEMATICAL RESEARCH The Mandelbrot Set PROGRAM CORRECTNESS Ultimate Debugging SEARCH TRESS Traversal and Maintenance ERROR-CORRECTING CODE Pictures from Space BOOLEAN LOGIC Expressions and Circuits REGULAR LANGUAGE Pumping Words TIME AND SPACE COMPLEXITY The Big-0 Notation GENETIC ALGORITHMS Solutions That Evolve THE RANDOM ACCESS MACHINE An Abstract Computer SPINAL CURVES Smooth Interpolation COMPUTER VISION Polyhedral Scenes KARNAUGH MAPS Circuit Minimization THE NEWTON-RAPHSON METHOD Finding Roots MINIMUM SPANNING TREES A Fast Algorithm GENERATIVE GRAMMARS Lindenmayer Systems RECURSION The Sierpinski Curve FAST MULTIPLICATION Divide and Conquer NONDETERMINISM Automata That Guess Correctly PERCEPTIONS A Lack of Vision ENCODERS AND MULTIPLEXERS Manipulating Memory CAT SCANNING Cross-Sectional X-Rays TIE PARTITION PROBLEM A Pseudo-fast Algorithm TURING MACHINES The Simplest Computers THE FAST FOURIER TRANSFORM Redistributing Images ANALOG COMPUTATION Spaghetti Computers SATISFIABILITY A Central Problem SEQUENTIAL SORTING A Lower Bound on Speed NEURAL NETWORKS THAT LEARN Converting Coordinates PUBLIC KEY CRYPTOGRAPHY Intractable Secrets SEQUENTIAL CIRCUITS A Computer Memory NONCOMPUTABLE FUNCTIONS The Busy Beaver Problem HEAPS AND MERGES The Fastest Sorts of Sorts NP-COMPLETENESS Wall of Intractability NUMBER SYSTEMS FOR COMPUTING Chinese Arithmetic STORAGE BY HASHING The Key Is the Address CELLULAR AUTOMATA The Game of Life COOK'S THEOREM Nuts and Bolts SELF-REPLICATING COMPUTERS Codd's Machine STORING IMAGES A Cat in a Quad Tree THE SCRAM A Simplified Computer SHANNON'S THEORY The Elusive Codes DETECTING PRIMES An Algorithm that Almost Always Works UNIVERSAL TURING MACHINES Computers as Programs TEXT COMPRESSION Huffman Coding DISK OPERATING SYSTEMS Bootstrapping the Computer NP-COMPLETE PROBLEMS The Tree of Intractability ITERATION AND RECURSION The Towers of Hanoi VLSI COMPUTERS Circuits in Silicon LINEAR PROGRAMMING The Simplex Method PREDICATE CALCULUS The Resolution Method THE HALTING PROBLEM The Uncomputable COMPUTER VIRUSES A Software Invasion SEARCHING STRINGS The Boyer-Moore Algorithm PARALLEL COMPUTING Processors with Connections THE WORD PROBLEM Dictionaries as Programs LOGIC PROGRAMMING Prologue to Expertise RELATIONAL DATABASES Do-It-Yourself Queries CHURCH'S THESIS All Computers Are Created Equal Index
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