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Category Theory for the Sciences

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Category Theory for the Sciences by David I. Spivak
2014 | ISBN: 0262028131 | English | 496 pages | PDF | 7 MB

Category Theory for the Sciences
Category theory was invented in the 1940s to unify and synthesize different areas in mathematics, and it has proven remarkably successful in enabling powerful communication between disparate fields and subfields within mathematics. This book shows that category theory can be useful outside of mathematics as a rigorous, flexible, and coherent modeling language throughout the sciences. Information is inherently dynamic; the same ideas can be organized and reorganized in countless ways, and the ability to translate between such organizational structures is becoming increasingly important in the sciences. Category theory offers a unifying framework for information modeling that can facilitate the translation of knowledge between disciplines. Written in an engaging and straightforward style, and assuming little background in mathematics, the book is rigorous but accessible to non-mathematicians. Using databases as an entry to category theory, it begins with sets and functions, then introduces the reader to notions that are fundamental in mathematics: monoids, groups, orders, and graphs — categories in disguise. After explaining the "big three" concepts of category theory — categories, functors, and natural transformations — the book covers other topics, including limits, colimits, functor categories, sheaves, monads, and operads. The book explains category theory by examples and exercises rather than focusing on theorems and proofs. It includes more than 300 exercises, with selected solutions. is intended to create a bridge between the vast array of mathematical concepts used by mathematicians and the models and frameworks of such scientific disciplines as computation, neuroscience, and physics.
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Fundamentals of Engineering Thermodynamics: Si Version

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Fundamentals of Engineering Thermodynamics: Si Version by Michael J. Moran
English | 2006 | ISBN: 0470030372 | 845 Pages | PDF | 25 MB
This book is a comprehensive, best selling introduction to the basics of engineering thermodynamics.

Fundamentals of Engineering Thermodynamics: Si Version
Requiring only college level physics and calculus, this popular book includes numerous illustrations and graphs to help students learn engineering concepts. A tested and proven problem solving methodology encourages readers to think systematically and develop an orderly approach to problem solving. This book provides readers with a state-of-the-art introduction to second law analysis. Design/open ended problems provide readers with brief design experiences that offer them opportunities to apply constraints and consider alternatives.
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Mathematics for Economics and Finance: Methods and Modelling

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Martin Anthony, Norman Biggs, "Mathematics for Economics and Finance: Methods and Modelling"
1996 | ISBN-10: 0521551137, 0521559138 | 410 pages | PDF | 12 MB

Mathematics for Economics and Finance: Methods and Modelling
Mathematics has become indispensable in the modelling of economics, finance, business and management. Without expecting any particular background of the reader, this book covers the following mathematical topics, with frequent reference to applications in economics and finance: functions, graphs and equations, recurrences (difference equations), differentiation, exponentials and logarithms, optimisation, partial differentiation, optimisation in several variables, vectors and matrices, linear equations, Lagrange multipliers, integration, first-order and second-order differential equations. The stress is on the relation of maths to economics, and this is illustrated with copious examples and exercises to foster depth of understanding. Each chapter has three parts: the main text, a section of further worked examples and a summary of the chapter together with a selection of problems for the reader to attempt. For students of economics, mathematics, or both, this book provides an introduction to mathematical methods in economics and finance that will be welcomed for its clarity and breadth.
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Mathematics for Economics and Finance: Methods and Modelling

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Martin Anthony, Norman Biggs, "Mathematics for Economics and Finance: Methods and Modelling"
1996 | ISBN-10: 0521551137, 0521559138 | 410 pages | PDF | 12 MB

Mathematics for Economics and Finance: Methods and Modelling
Mathematics has become indispensable in the modelling of economics, finance, business and management. Without expecting any particular background of the reader, this book covers the following mathematical topics, with frequent reference to applications in economics and finance: functions, graphs and equations, recurrences (difference equations), differentiation, exponentials and logarithms, optimisation, partial differentiation, optimisation in several variables, vectors and matrices, linear equations, Lagrange multipliers, integration, first-order and second-order differential equations. The stress is on the relation of maths to economics, and this is illustrated with copious examples and exercises to foster depth of understanding. Each chapter has three parts: the main text, a section of further worked examples and a summary of the chapter together with a selection of problems for the reader to attempt. For students of economics, mathematics, or both, this book provides an introduction to mathematical methods in economics and finance that will be welcomed for its clarity and breadth.
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The Visual Miscellaneum: A Colorful Guide to the World’s Most Consequential Trivia

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The Visual Miscellaneum: A Colorful Guide to the World's Most Consequential Trivia by David McCandless
English | 2009 | ISBN: 0061748366 | 256 pages | EPUB | 23 MB

The Visual Miscellaneum: A Colorful Guide to the World’s Most Consequential Trivia
The Visual Miscellaneum is a unique, groundbreaking look at the modern information age, helping readers make sense of the countless statistics and random facts that constantly bombard us.

Using cutting edge graphs, charts, and illustrations, David McCandless creatively visualizes the world's surprising relationships and compelling data, covering everything from the most pleasurable guilty pleasures to how long it takes different condiments to spoil to world maps of Internet search terms.
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Inspection of Large Synchronous Machines: Checklists, Failure Identification, and Troubleshooting

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Inspection of Large Synchronous Machines: Checklists, Failure Identification, and Troubleshooting
by Isidor Kerszenbaum
English | 1996 | ISBN: 0780311485 | 200 pages | PDF | 4.5 MB

Inspection of Large Synchronous Machines: Checklists, Failure Identification, and Troubleshooting
"Gain an understanding of the inspection of large synchronous machines, generators, condensers, and motors! This text describes each component of the machine, operational functions, typical design features, and tell-tale signs that indicate each mode of failure. Compact with photos, graphs, commonly-used inspection forms, along with extensive references for each topic, INSPECTION OF LARGE SYNCHRONOUS MACHINES is an excellent tool for operators, inspectors, and student engineers."
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Knots and Applications

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Louis H. Kauffman, "Knots and Applications"
English | ISBN: 9810220049, 9810220308 | 1994 | 500 pages | PDF | 18 MB

Knots and Applications
This volume is a collection of research papers devoted to the study of relationships between knot theory and the foundations of mathematics, physics, chemistry, biology and psychology. Included are reprints of the work of Lord Kelvin (Sir William Thomson) on the 19th-century theory of vortex atoms, reprints of modern papers on knotted flux in physics and in fluid dynamics, and knotted wormholes in general relativity. It also includes papers on Witten's approach to knots via quantum field theory and applications of this approach to quantum gravity and the Ising model in three dimensions. Other papers discuss the topology of RNA folding in relation to invariants of graphs and Vassiliev invariants, the entanglement structures of polymers, the synthesis of molecular Mobius strips and knotted molecules. The book begins with an article on the applications of knot theory to the foundations of mathematics and ends with an article on topology and visual perception. This volume should be of interest to workers interested in new possibilities in the uses of knots and knot theory.
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Autobiography of Benjamin Franklin

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Autobiography of Benjamin Franklin by Benjamin Franklin
English | Jan 14, 2015 | ASIN: B00S7IQ09W | 245 Pages | EPUB/MOBI/AZW/PDF (Converted) | 6 MB
Trajectory presents classics of world literature with 21st century features! Our original-text editions include the following visual enhancements to foster a deeper understanding of the work: Word Clouds at the start of each chapter highlight important words.

Autobiography of Benjamin Franklin
Word, sentence, paragraph counts, and reading time help readers and teachers determine chapter complexity. Co-occurrence graphs depict character-to-character interactions as well character to place interactions. Sentiment indexes identify positive and negative trends in mood within each chapter. Frequency graphs help display the impact this book has had on popular culture since its original date of publication. Use Trajectory analytics to deepen comprehension, to provide a focus for discussions and writing assignments, and to engage new readers with some of the greatest stories ever told.

The is the traditional name for the unfinished record of his own life written by Benjamin Franklin from 1771 to 1790; however, Franklin himself appears to have called the work his Memoirs.
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Proceedings of the Sixth Workshop on Algorithm Engineering and Experiements

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Proceedings of the Sixth Workshop on Algorithm Engineering and Experiements by Lars Arge
English | 2004 | 240 Pages | ISBN: 0898715644 | DJVU | 4 MB

Proceedings of the Sixth Workshop on Algorithm Engineering and Experiements
The aim of the annual ALENEX workshop is to provide a forum for the presentation of original research in the implementation and experimental evaluation of algorithms and data structures. This research presents significant studies in experimental analysis or in the implementation, testing, and evaluation of algorithms for realistic environments and scenarios.

The paper presentations address specific applied areas that present unique challenges in their underlying algorithmic problems as well as methodological issues and standards in the context of empirical research on algorithms and data structures. The ANALCO workshop presents a collection of original research in the analysis of algorithms and associated combinatorial structures. The papers study properties of fundamental combinatorial structures that arise in practical computational applications (such as permutations, trees, strings, tries, and graphs) and address the precise analysis of algorithms for processing such structures, including average-case analysis; analysis of moments, extrema, and distributions; and probabilistic analysis of randomized algorithms. This proceedings collects extended versions of the 14 papers that were selected for presentation from the ALENEX workshop and 10 papers selected for presentation from the ANALCO workshop.
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Graph Algorithms in the Language of Linear Algebra

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Jeremy Kepner, John Gilbert, "Graph Algorithms in the Language of Linear Algebra"
2011 | ISBN-10: 0898719909 | 375 pages | PDF | 5 MB

Graph Algorithms in the Language of Linear Algebra
The field of graph algorithms has become one of the pillars of theoretical computer science, informing research in such diverse areas as combinatorial optimization, complexity theory and topology. To improve the computational performance of graph algorithms, researchers have proposed a shift to a parallel computing paradigm. This book addresses the challenges of implementing parallel graph algorithms by exploiting the well-known duality between a canonical representation of graphs as abstract collections of vertices and edges and a sparse adjacency matrix representation. This linear algebraic approach is widely accessible to scientists and engineers who may not be formally trained in computer science. The authors show how to leverage existing parallel matrix computation techniques and the large amount of software infrastructure that exists for these computations to implement efficient and scalable parallel graph algorithms. The benefits of this approach are reduced algorithmic complexity, ease of implementation and improved performance.
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