Feasible Mathematics
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Author | : S.R. Buss |
Publisher | : Springer Science & Business Media |
Total Pages | : 352 |
Release | : 2013-03-07 |
Genre | : Computers |
ISBN | : 1461234662 |
A so-called "effective" algorithm may require arbitrarily large finite amounts of time and space resources, and hence may not be practical in the real world. A "feasible" algorithm is one which only requires a limited amount of space and/or time for execution; the general idea is that a feasible algorithm is one which may be practical on today's or at least tomorrow's computers. There is no definitive analogue of Church's thesis giving a mathematical definition of feasibility; however, the most widely studied mathematical model of feasible computability is polynomial-time computability. Feasible Mathematics includes both the study of feasible computation from a mathematical and logical point of view and the reworking of traditional mathematics from the point of view of feasible computation. The diversity of Feasible Mathematics is illustrated by the. contents of this volume which includes papers on weak fragments of arithmetic, on higher type functionals, on bounded linear logic, on sub recursive definitions of complexity classes, on finite model theory, on models of feasible computation for real numbers, on vector spaces and on recursion theory. The vVorkshop on Feasible Mathematics was sponsored by the Mathematical Sciences Institute and was held at Cornell University, June 26-28, 1989.
Author | : Peter Clote |
Publisher | : Springer Science & Business Media |
Total Pages | : 456 |
Release | : 2013-03-13 |
Genre | : Computers |
ISBN | : 1461225663 |
Perspicuity is part of proof. If the process by means of which I get a result were not surveyable, I might indeed make a note that this number is what comes out - but what fact is this supposed to confirm for me? I don't know 'what is supposed to come out' . . . . 1 -L. Wittgenstein A feasible computation uses small resources on an abstract computa tion device, such as a 'lUring machine or boolean circuit. Feasible math ematics concerns the study of feasible computations, using combinatorics and logic, as well as the study of feasibly presented mathematical structures such as groups, algebras, and so on. This volume contains contributions to feasible mathematics in three areas: computational complexity theory, proof theory and algebra, with substantial overlap between different fields. In computational complexity theory, the polynomial time hierarchy is characterized without the introduction of runtime bounds by the closure of certain initial functions under safe composition, predicative recursion on notation, and unbounded minimization (S. Bellantoni); an alternative way of looking at NP problems is introduced which focuses on which pa rameters of the problem are the cause of its computational complexity and completeness, density and separation/collapse results are given for a struc ture theory for parametrized problems (R. Downey and M. Fellows); new characterizations of PTIME and LINEAR SPACE are given using predicative recurrence over all finite tiers of certain stratified free algebras (D.
Author | : Xin-She Yang |
Publisher | : World Scientific |
Total Pages | : 258 |
Release | : 2008 |
Genre | : Mathematics |
ISBN | : 9812818170 |
This unique book provides a comprehensive introduction to computational mathematics, which forms an essential part of modern numerical algorithms and scientific computing. It uses a theorem-free approach with just the right balance between mathematics and numerical algorithms. It covers all major topics in computational mathematics with a wide range of carefully selected numerical algorithms, ranging from the root-finding algorithms, numerical integration, numerical methods of partial differential equations, finite element methods, optimization algorithms, stochastic models, to nonlinear curve-fitting and swarm optimization. Especially suitable for undergraduates and graduates in computational mathematics, numerical algorithms, and scientific computing, it can be used as a textbook and/or reference book.
Author | : Oswaal Editorial Board |
Publisher | : Oswaal Books |
Total Pages | : 241 |
Release | : 2023-12-08 |
Genre | : Study Aids |
ISBN | : 9359587222 |
Description of the product: • Strictly as per the Latest Exam Pattern issued by NTA • 100% Updated with 2023 Exam Paper • Previous Years’ Questions (2021-2023) for better Exam insights • Revision Notes for Crisp Revision with Smart Mind Maps • Concept Videos for complex concepts clarity • 800+Questions for Extensive Practice
Author | : Disha Experts |
Publisher | : Disha Publications |
Total Pages | : 599 |
Release | : |
Genre | : |
ISBN | : 9388919890 |
Author | : Peter Gritzmann |
Publisher | : American Mathematical Soc. |
Total Pages | : 660 |
Release | : 1991 |
Genre | : Mathematics |
ISBN | : 9780821870839 |
This volume, published jointly with the Association for Computing Machinery, comprises a collection of research articles celebrating the occasion of Victor Klee's 65th birthday in September 1990. During his long career, Klee has made contributions to a wide variety of areas, such as discrete and computational geometry, convexity, combinatorics, graph theory, functional analysis, mathematical programming and optimization, and theoretical computer science. In addition, Klee made important contributions to mathematics, education, mathematical methods in economics and the decision sciences, applications of discrete mathematics in the biological and social sciences, and the transfer of knowledge from applied mathematics to industry. In honour of Klee's achievements, this volume presents more than 40 papers on topics related to Klee's research. While the majority of the papers are research articles, a number of survey articles are also included. Mirroring the breadth of Klee's mathematical contributions, this book shows how different branches of mathematics interact. It is a fitting tribute to one of the leading figures in discrete mathematics.
Author | : Oswaal Editorial Board |
Publisher | : Oswaal Books |
Total Pages | : 695 |
Release | : 2023-10-28 |
Genre | : Study Aids |
ISBN | : 9359585238 |
Description of the product • Chapter-wise and Topic-wise presentation • Chapter-wise Objectives: A sneak peek into the chapter • Mind Map: A single page snapshot of the entire chapter • Revision Notes: Concept based study materials • Tips & Tricks: Useful guidelines for attempting each question perfectly • Some Commonly Made Errors: Most common and unidentified errors are focused • Expert Advice: Oswaal Expert Advice on how to score more • Oswaal QR Codes: For Quick Revision on your Mobile Phones and Tablets
Author | : |
Publisher | : |
Total Pages | : 226 |
Release | : 1994 |
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Author | : R. S. Bhardwaj |
Publisher | : Excel Books India |
Total Pages | : 572 |
Release | : 2007-04 |
Genre | : Business & Economics |
ISBN | : 9788174464507 |
This book is designed to meet the requirements of a wide range of students, keeping in view the varied applications of mathematical techniques in different areas of Economics, Commerce, Finance and Management, at the Undergraduate and Post Graduate levels. The subject matter has been presented in a very simple and lucid manner. A large number of questions from various University examination papers have been included to provide a range of questions on different topics of the subjects. Exercises given at the end of each topic will provide a source of practice to the students and make them more confident, assuring better performance in the Examination. Teachers in the subject may also find it absorbing and different from other books, in respect of approach, style and lucidity in explanation supported by appropriate diagrams.
Author | : Nancy Crisler |
Publisher | : Macmillan |
Total Pages | : 640 |
Release | : 2005-12-23 |
Genre | : Mathematics |
ISBN | : 071670000X |
Listen here for author Nancy Crisler's introduction to Discrete Mathematics Through Applications. Written specifically for high school courses, Discrete Mathematics Through Applications is designed to help you put the established NCTM Standards for Discrete Math to work in your classroom, in a way that promotes active learning, critical thinking, and fully-engaged student participation. With this text, students will see the connections among mathematical topics and real-life events and situations, while sharpening their problem solving, mathematical reasoning and communication skills. The new edition adds new topics and significantly revised exercise sets and enhanced supplements.