Welcome to our book review site go-pdf.online!

You may have to Search all our reviewed books and magazines, click the sign up button below to create a free account.

Sign up

An Invitation to Applied Category Theory
  • Language: en
  • Pages: 351

An Invitation to Applied Category Theory

Category theory reveals commonalities between structures of all sorts. This book shows its potential in science, engineering, and beyond.

An Invitation to Applied Category Theory
  • Language: en
  • Pages: 351

An Invitation to Applied Category Theory

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.

Higher Structures in Topology, Geometry, and Physics
  • Language: en
  • Pages: 332

Higher Structures in Topology, Geometry, and Physics

This volume contains the proceedings of the AMS Special Session on Higher Structures in Topology, Geometry, and Physics, held virtually on March 26–27, 2022. The articles give a snapshot survey of the current topics surrounding the mathematical formulation of field theories. There is an intricate interplay between geometry, topology, and algebra which captures these theories. The hallmark are higher structures, which one can consider as the secondary algebraic or geometric background on which the theories are formulated. The higher structures considered in the volume are generalizations of operads, models for conformal field theories, string topology, open/closed field theories, BF/BV formalism, actions on Hochschild complexes and related complexes, and their geometric and topological aspects.

Asian Americans and the Spirit of Racial Capitalism
  • Language: en
  • Pages: 369

Asian Americans and the Spirit of Racial Capitalism

Any serious consideration of Asian American life forces us to reframe the way we talk about racism and antiracism. There are two contemporary approaches to antiracist theory and practice. The first emphasizes racial identity to the exclusion of political economy, making racialized life in America illegible. This approach's prevalence, in the academy and beyond, now rises to the level of established doctrine. The second approach views racial identity as the function of a particular political economy--what is called "racial capitalism>--and therefore analytically subordinates racial identity to political economy. Jonathan Tran develops arguments in favor of this second approach. He does so by ...

Category Theory for Programmers (New Edition, Hardcover)
  • Language: en

Category Theory for Programmers (New Edition, Hardcover)

  • Type: Book
  • -
  • Published: 2019-08-24
  • -
  • Publisher: Unknown

Category Theory is one of the most abstract branches of mathematics. It is usually taught to graduate students after they have mastered several other branches of mathematics, like algebra, topology, and group theory. It might, therefore, come as a shock that the basic concepts of category theory can be explained in relatively simple terms to anybody with some experience in programming.That's because, just like programming, category theory is about structure. Mathematicians discover structure in mathematical theories, programmers discover structure in computer programs. Well-structured programs are easier to understand and maintain and are less likely to contain bugs. Category theory provides the language to talk about structure and learning it will make you a better programmer.

Categories for Quantum Theory
  • Language: en
  • Pages: 337

Categories for Quantum Theory

  • Type: Book
  • -
  • Published: 2019
  • -
  • Publisher: Unknown

Categories for Quantum Theory: An Introduction lays foundations for an approach to quantum theory that uses category theory, a branch of pure mathematics. Prior knowledge of quantum information theory or category theory helps, but is not assumed, and basic linear algebra and group theory suffices.

Temporal Type Theory
  • Language: en
  • Pages: 237

Temporal Type Theory

  • Type: Book
  • -
  • Published: 2019-01-29
  • -
  • Publisher: Springer

This innovative monograph explores a new mathematical formalism in higher-order temporal logic for proving properties about the behavior of systems. Developed by the authors, the goal of this novel approach is to explain what occurs when multiple, distinct system components interact by using a category-theoretic description of behavior types based on sheaves. The authors demonstrate how to analyze the behaviors of elements in continuous and discrete dynamical systems so that each can be translated and compared to one another. Their temporal logic is also flexible enough that it can serve as a framework for other logics that work with similar models. The book begins with a discussion of behav...

Starting Category Theory
  • Language: en
  • Pages: 464

Starting Category Theory

One of the central highlights of this work is the exploration of the Yoneda lemma and its profound implications, during which intuitive explanations are provided, as well as detailed proofs, and specific examples. This book covers aspects of category theory often considered advanced in a clear and intuitive way, with rigorous mathematical proofs. It investigates universal properties, coherence, the relationship between categories and graphs, and treats monads and comonads on an equal footing, providing theorems, interpretations and concrete examples. Finally, this text contains an introduction to monoidal categories and to strong and commutative monads, which are essential tools in current r...

Quantum Techniques In Stochastic Mechanics
  • Language: en
  • Pages: 276

Quantum Techniques In Stochastic Mechanics

We introduce the theory of chemical reaction networks and their relation to stochastic Petri nets — important ways of modeling population biology and many other fields. We explain how techniques from quantum mechanics can be used to study these models. This relies on a profound and still mysterious analogy between quantum theory and probability theory, which we explore in detail. We also give a tour of key results concerning chemical reaction networks and Petri nets.

Models, Algorithms, Logics and Tools
  • Language: en
  • Pages: 666

Models, Algorithms, Logics and Tools

  • Type: Book
  • -
  • Published: 2017-08-17
  • -
  • Publisher: Springer

This Festschrift is published in honor of Kim Guldstrand Larsen, one of the earliest precursors of computer science in Denmark, on the occasion of his 60th birthday. During the last three decades, Kim Guldstrand Larsen has given major contributions across a remarkably wide range of topics, including real-time, concurrent, and probabilistic models of computation, logic in computer science, and model checking. Since 1995, he has been one of the prime movers behind the model checking tool for real-time systems UPPAAL, for which he was a co-recipient of the CAV Award in 2013. The Festschrift contains 32 papers that feature the broad range of Kim Guldstrand Larsen's research topics, such as formal languages and automata theory; logic; verification, model checking and testing; algorithmic game theory and mechanism design; semantics and reasoning; real-time and distributed systems; and modeling and simulation.