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#### Proof and Proving in Mathematics Education

Springer Netherlands 2012; US$ 219.00Proof and Proving in Mathematics Education argues that deductive reasoning and proof should be integral parts of any mathematics curriculum. It identifies the resources teachers needed to enact such instruction, and facilitates the design of teacher education and development programs that provide them. more...

#### Sparse Grids and Applications - Munich 2012

Springer International Publishing 2014; US$ 169.00Sparse 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... more...

#### Optimization

CRC Press 2015; US$ 129.95Choose 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...

#### Computable Structures and the Hyperarithmetical Hierarchy

Elsevier Science 2000; US$ 175.00This book describes a program of research in computable structure theory. The goal is to find definability conditions corresponding to bounds on complexity which persist under isomorphism. The results apply to familiar kinds of structures (groups, fields, vector spaces, linear orderings Boolean algebras, Abelian p-groups, models of arithmetic). There... more...

#### Algorithms and Complexity

World Scientific Publishing Company 1990; US$ 116.00This 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...

#### Tracking Reason

Oxford University Press 2006; US$ 23.99When 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...

#### The Lambda Calculus

Elsevier Science 2013; US$ 133.00The revised edition contains a new chapter which provides an elegant description of the semantics. The various classes of lambda calculus models are described in a uniform manner. Some didactical improvements have been made to this edition. An example of a simple model is given and then the general theory (of categorical models) is developed. Indications... more...

#### The Moment of Proof

Oxford University Press, USA 2000; US$ 22.99When Archimedes, while bathing, suddenly hit upon the principle of buoyancy, he ran wildly through the streets of Syracuse, stark naked, crying "eureka!" In The Moment of Proof, Donald Benson attempts to convey to general readers the feeling of eureka--the joy of discovery--that mathematicians feel when they first encounter an elegant proof.... more...

#### Around and Beyond the Square of Opposition

Springer Basel 2012; US$ 89.95This book collects previously unpublished papers exploring the theory of oppositions based on Aristotelian foundations of logic, reflecting renewed interest and challenging re-interpretations which extend the original theory in breadth and depth. more...

#### Proof Theory

CRC Press 2014; US$ 89.95Proofs and proof theory Proofs of all kinds Early history of proof theory in a nutshell Proofs as calculations Classical first-order logic The sequent calculus LK An axiom system for FOL Equivalence of LK and K Interpretations, soundness and completeness Variants of the first sequent calculi Intuitionistic logic and... more...