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- CRC Press 2014; US$ 59.95
Introduction The need for proof The language of mathematics Reasoning Deductive reasoning and truth Example proofs Logic and Reasoning Introduction Propositions, connectives, and truth tables Logical equivalence and logical implication Predicates and quantification Logical reasoning Sets and Functions Introduction Sets... more...
- Elsevier Science 2009; US$ 72.95
This fundamental and straightforward text addresses a weakness observed among present-day students, namely a lack of familiarity with formal proof. Beginning with the idea of mathematical proof and the need for it, associated technical and logical skills are developed with care and then brought to bear on the core material of analysis in such a lucid... more...
- C.H. Beck 2014; US$ 18.30
Klaus Mainzer zeigt in diesem Buch, wie es bei dem Vorhaben, die Welt zu berechnen, zu einer Revolution der Denkart kam. Während Generationen von Mathematikern, Physikern und Philosophen auf der Suche nach der Weltformel mit Gleichungen arbeiteten und in den Kategorien von Ursache und Wirkung dachten, ist die «new science» dadurch charakterisiert,... more...
- Springer 2014; US$ 169.00
Sparse grids have gained increasing interest in recent years for the numerical treatment of high-dimensional problems. Whereas classical numerical discretization schemes fail in more than three or four dimensions, sparse grids make it possible to overcome the ?curse? of dimensionality to some degree, extending the number of dimensions that can be dealt... more...
- CRC Press 2015; US$ 129.95
Choose the Correct Solution Method for Your Optimization Problem Optimization: Algorithms and Applications presents a variety of solution techniques for optimization problems, emphasizing concepts rather than rigorous mathematical details and proofs. The book covers both gradient and stochastic methods as solution techniques for unconstrained... more...
- World Scientific Publishing Company 1990; US$ 116.00
This proceedings contains contributions on topics such as the models of computation, analysis and design of sequential and parallel algorithms, data structures and their applications, approximating algorithms and probabilistic analysis, and computational complexity. Contents: Analysis and Implementation of Parallel Uniform Hashing (F Luccio et al);... more...
- Elsevier Science 2014; US$ 72.95
Studies in Logic and the Foundations of Mathematics, Volume 123: Constructivism in Mathematics: An Introduction, Vol. II focuses on various studies in mathematics and logic, including metric spaces, polynomial rings, and Heyting algebras. The publication first takes a look at the topology of metric spaces, algebra, and finite-type arithmetic and theories... more...
- Taylor and Francis 2005; US$ 155.00
The mathematical proof is the most important form of justification in mathematics. It is not, however, the only kind of justification for mathematical propositions. The existence of other forms, some of very significant strength, places a question mark over the prominence given to proof within mathematics. This collection of essays, by leading figures... more...
- Oxford University Press 2006; US$ 23.99
When ordinary people - mathematicians among them - take something to follow (deductively) from something else, they are exposing the backbone of our self-ascribed ability to reason. This book investigates the connection between that ordinary notion of consequence and the formal analogues invented by logicians. more...
- Elsevier Science 2006; US$ 170.00
The Curry-Howard isomorphism states an amazing correspondence between systems of formal logic as encountered in proof theory and computational calculi as found in type theory. For instance, minimal propositional logic corresponds to simply typed lambda-calculus, first-order logic corresponds to dependent types, second-order logic corresponds to polymorphic... more...