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An Invitation to Combinatorics - Shahriar (pomona College Shahriari - Bog - Cambridge University Press - Plusbog.dk

An Invitation to Combinatorics - Shahriar (pomona College Shahriari - Bog - Cambridge University Press - Plusbog.dk

Active student engagement is key to this classroom-tested combinatorics text, boasting 1200+ carefully designed problems, ten mini-projects, section warm-up problems, and chapter opening problems. The author – an award-winning teacher – writes in a conversational style, keeping the reader in mind on every page. Students will stay motivated through glimpses into current research trends and open problems as well as the history and global origins of the subject. All essential topics are covered, including Ramsey theory, enumerative combinatorics including Stirling numbers, partitions of integers, the inclusion-exclusion principle, generating functions, introductory graph theory, and partially ordered sets. Some significant results are presented as sets of guided problems, leading readers to discover them on their own. More than 140 problems have complete solutions and over 250 have hints in the back, making this book ideal for self-study. Ideal for a one semester upper undergraduate course, prerequisites include the calculus sequence and familiarity with proofs.

DKK 420.00
3

An Invitation to Model Theory - Jonathan (university Of East Anglia) Kirby - Bog - Cambridge University Press - Plusbog.dk

An Invitation to Model Theory - Jonathan (university Of East Anglia) Kirby - Bog - Cambridge University Press - Plusbog.dk

Model theory begins with an audacious idea: to consider statements about mathematical structures as mathematical objects of study in their own right. While inherently important as a tool of mathematical logic, it also enjoys connections to and applications in diverse branches of mathematics, including algebra, number theory and analysis. Despite this, traditional introductions to model theory assume a graduate-level background of the reader. In this innovative textbook, Jonathan Kirby brings model theory to an undergraduate audience. The highlights of basic model theory are illustrated through examples from specific structures familiar from undergraduate mathematics, paying particular attention to definable sets throughout. With numerous exercises of varying difficulty, this is an accessible introduction to model theory and its place in mathematics.

DKK 288.00
3

Invitation to Linear Programming and Game Theory - David C. Vella - Bog - Cambridge University Press - Plusbog.dk

Invitation to Linear Programming and Game Theory - David C. Vella - Bog - Cambridge University Press - Plusbog.dk

Written in a conversational tone, this classroom-tested text introduces the fundamentals of linear programming and game theory, showing readers how to apply serious mathematics to practical real-life questions by modelling linear optimization problems and strategic games. The treatment of linear programming includes two distinct graphical methods. The game theory chapters include a novel proof of the minimax theorem for 2x2 zero-sum games. In addition to zero-sum games, the text presents variable-sum games, ordinal games, and n-player games as the natural result of relaxing or modifying the assumptions of zero-sum games. All concepts and techniques are derived from motivating examples, building in complexity, which encourages students to think creatively and leads them to understand how the mathematics is applied. With no prerequisite besides high school algebra, the text will be useful to motivated high school students and undergraduates studying business, economics, mathematics, and the social sciences.

DKK 854.00
3

Invitation to Linear Programming and Game Theory - David C. Vella - Bog - Cambridge University Press - Plusbog.dk

Invitation to Linear Programming and Game Theory - David C. Vella - Bog - Cambridge University Press - Plusbog.dk

Written in a conversational tone, this classroom-tested text introduces the fundamentals of linear programming and game theory, showing readers how to apply serious mathematics to practical real-life questions by modelling linear optimization problems and strategic games. The treatment of linear programming includes two distinct graphical methods. The game theory chapters include a novel proof of the minimax theorem for 2x2 zero-sum games. In addition to zero-sum games, the text presents variable-sum games, ordinal games, and n-player games as the natural result of relaxing or modifying the assumptions of zero-sum games. All concepts and techniques are derived from motivating examples, building in complexity, which encourages students to think creatively and leads them to understand how the mathematics is applied. With no prerequisite besides high school algebra, the text will be useful to motivated high school students and undergraduates studying business, economics, mathematics, and the social sciences.

DKK 467.00
3

An Invitation to Applied Category Theory - Brendan Fong - Bog - Cambridge University Press - Plusbog.dk

An Invitation to Applied Category Theory - Brendan Fong - Bog - Cambridge University Press - Plusbog.dk

Category theory is unmatched in its ability to organize and layer abstractions and to find commonalities between structures of all sorts. No longer the exclusive preserve of pure mathematicians, it is now proving itself to be a powerful tool in science, informatics, and industry. By facilitating communication between communities and building rigorous bridges between disparate worlds, applied category theory has the potential to be a major organizing force. This book offers a self-contained tour of applied category theory. Each chapter follows a single thread motivated by a real-world application and discussed with category-theoretic tools. We see data migration as an adjoint functor, electrical circuits in terms of monoidal categories and operads, and collaborative design via enriched profunctors. All the relevant category theory, from simple to sophisticated, is introduced in an accessible way with many examples and exercises, making this an ideal guide even for those without experience of university-level mathematics.

DKK 986.00
3

An Introduction to Optimization on Smooth Manifolds - Nicolas (ecole Polytechnique Federale De Lausanne) Boumal - Bog - Cambridge University Press -

An Introduction to Optimization on Smooth Manifolds - Nicolas (ecole Polytechnique Federale De Lausanne) Boumal - Bog - Cambridge University Press -

This is a modern invitation to algorithms for optimization with geometry for researchers and advanced undergraduate and graduate students in applied mathematics, computer science and engineering. Readers will appreciate the approachable, yet proof-based, introduction to differential geometry, which is often restricted to pure mathematics curricula.

DKK 948.00
3