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#### Logic and Computation

Cambridge University Press 1987; US$ 60.00This book is concerned with techniques for formal theorem-proving, with particular reference to Cambridge LCF (Logic for Computable Functions). Cambridge LCF is a computer program for reasoning about computation. It combines the methods of mathematical logic with domain theory, the basis of the denotational approach to specifying the meaning of program... more...

#### The Proof is in the Pudding

Springer 2011; US$ 49.99This text explores the many transformations that the mathematical proof has undergone from its inception to its versatile, present-day use, considering the advent of high-speed computing machines. Though there are many truths to be discovered in this book, by the end it is clear that there is no formalized approach or standard method of discovery to... more...

#### A Transition to Abstract Mathematics

Elsevier Science 2008; US$ 89.95Constructing concise and correct proofs is one of the most challenging aspects of learning to work with advanced mathematics. Meeting this challenge is a defining moment for those considering a career in mathematics or related fields. Mathematical Thinking and Writing teaches readers to construct proofs and communicate with the precision necessary... more...

#### Theory of Computation

Wiley 2014; US$ 124.00Learn the skills and acquire the intuition to assess thetheoretical limitations of computer programming Offering an accessible approach to the topic, Theory ofComputation focuses on the metatheory of computing and thetheoretical boundaries between what various computational modelscan do and not do—from the most general model, the URM(Unbounded... more...

#### Frege's Notations

Palgrave Macmillan 2012; US$ 95.00A new approach to reading Frege's notations that adheres to the modern view that terms and well-formed formulas are any disjoint syntactic categories. On this new approach, we can at last read Frege's notations in their original form revealing striking new solutions to many of the outstanding problems of interpreting his philosophy. more...

#### Apartness and Uniformity

Springer 2011; US$ 129.00This book presents a theory of apartness encompassing both point-set topology and the theory of uniform spaces. The first book on the apartness approach to constructive topology, it is a valuable addition to the literature on topology in computer science. more...

#### Computable Models

Springer 2009; US$ 109.00Computational models can be found everywhere in present day science and engineering. In providing a logical framework and foundation for the specification and design of specification languages, Raymond Turner uses this framework to introduce and study computable models. In doing so he presents the first systematic attempt to provide computational models... more...

#### Complexity Theory

Springer 2005; US$ 89.95Reflects recent developments in its emphasis on randomized and approximation algorithms and communication models All topics are considered from an algorithmic point of view stressing the implications for algorithm design more...

#### Mathematischer Einführungskurs für die Physik

Springer 2012; US$ 29.95Studierende, die ein Physikstudium aufnehmen, brauchen zu Beginn vor allem eines: mathematische Grundkenntnisse. Da es sich hierbei zun chst um einen relativ beschr nkten und charakteristischen Ausschnitt aus der Mathematik handelt, werden die ben tigten Kompetenzen vor allem im Rahmen von Tutorien oder Arbeitsgruppen vermittelt. Dieser Einf hrungskurs... more...

#### Bounded Arithmetic, Propositional Logic and Complexity Theory

Cambridge University Press 1995; US$ 152.00Discusses the deep connections between logic and complexity theory, and lists a number of intriguing open problems. more...