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#### Sparse Grids and Applications - Munich 2012

Springer 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 dealt... more...

#### Die Berechnung der Welt

C.H. Beck 2014; US$ 18.65Klaus 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...

#### 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...

#### Mathematical Analysis and Proof

Elsevier Science 2009; US$ 72.95This 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...

#### The Nuts and Bolts of Proofs

Elsevier Science 2011; US$ 49.95The Nuts and Bolts of Proofs: An Introduction to Mathematical Proofs provides basic logic of mathematical proofs and shows how mathematical proofs work. It offers techniques for both reading and writing proofs. The second chapter of the book discusses the techniques in proving if/then statements by contrapositive and proofing by contradiction. It... more...

#### Constructivism in Mathematics Vol.2

Elsevier Science 2014; US$ 72.95Studies 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...

#### 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...

#### Mathematical Thinking and Writing

Elsevier Science 2001; US$ 107.00The ability to construct proofs is one of the most challenging aspects of the world of mathematics. It is, essentially, the defining moment for those testing the waters in a mathematical career. Instead of being submerged to the point of drowning, readers of Mathematical Thinking and Writing are given guidance and support while learning the language... more...

#### Lectures on the Curry-Howard Isomorphism

Elsevier Science 2006; US$ 170.00The 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...