Divisors and Sandpiles

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 1470442183
Total Pages : 342 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Divisors and Sandpiles by : Scott Corry

Download or read book Divisors and Sandpiles written by Scott Corry and published by American Mathematical Soc.. This book was released on 2018-07-23 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: Divisors and Sandpiles provides an introduction to the combinatorial theory of chip-firing on finite graphs. Part 1 motivates the study of the discrete Laplacian by introducing the dollar game. The resulting theory of divisors on graphs runs in close parallel to the geometric theory of divisors on Riemann surfaces, and Part 1 culminates in a full exposition of the graph-theoretic Riemann-Roch theorem due to M. Baker and S. Norine. The text leverages the reader's understanding of the discrete story to provide a brief overview of the classical theory of Riemann surfaces. Part 2 focuses on sandpiles, which are toy models of physical systems with dynamics controlled by the discrete Laplacian of the underlying graph. The text provides a careful introduction to the sandpile group and the abelian sandpile model, leading ultimately to L. Levine's threshold density theorem for the fixed-energy sandpile Markov chain. In a precise sense, the theory of sandpiles is dual to the theory of divisors, and there are many beautiful connections between the first two parts of the book. Part 3 addresses various topics connecting the theory of chip-firing to other areas of mathematics, including the matrix-tree theorem, harmonic morphisms, parking functions, M-matrices, matroids, the Tutte polynomial, and simplicial homology. The text is suitable for advanced undergraduates and beginning graduate students.

Introduction to Information Retrieval

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Publisher : Cambridge University Press
ISBN 13 : 1139472100
Total Pages : pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Introduction to Information Retrieval by : Christopher D. Manning

Download or read book Introduction to Information Retrieval written by Christopher D. Manning and published by Cambridge University Press. This book was released on 2008-07-07 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Class-tested and coherent, this textbook teaches classical and web information retrieval, including web search and the related areas of text classification and text clustering from basic concepts. It gives an up-to-date treatment of all aspects of the design and implementation of systems for gathering, indexing, and searching documents; methods for evaluating systems; and an introduction to the use of machine learning methods on text collections. All the important ideas are explained using examples and figures, making it perfect for introductory courses in information retrieval for advanced undergraduates and graduate students in computer science. Based on feedback from extensive classroom experience, the book has been carefully structured in order to make teaching more natural and effective. Slides and additional exercises (with solutions for lecturers) are also available through the book's supporting website to help course instructors prepare their lectures.

The Glossary of Prosthodontic Terms

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Publisher :
ISBN 13 :
Total Pages : 80 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Glossary of Prosthodontic Terms by :

Download or read book The Glossary of Prosthodontic Terms written by and published by . This book was released on 1994 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction To Analysis With Complex Numbers

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Publisher : World Scientific
ISBN 13 : 9811225877
Total Pages : 455 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Introduction To Analysis With Complex Numbers by : Irena Swanson

Download or read book Introduction To Analysis With Complex Numbers written by Irena Swanson and published by World Scientific. This book was released on 2021-02-18 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a self-contained book that covers the standard topics in introductory analysis and that in addition constructs the natural, rational, real and complex numbers, and also handles complex-valued functions, sequences, and series.The book teaches how to write proofs. Fundamental proof-writing logic is covered in Chapter 1 and is repeated and enhanced in two appendices. Many examples of proofs appear with words in a different font for what should be going on in the proof writer's head.The book contains many examples and exercises to solidify the understanding. The material is presented rigorously with proofs and with many worked-out examples. Exercises are varied, many involve proofs, and some provide additional learning materials.

More Math Into LaTeX

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Publisher : Springer Science & Business Media
ISBN 13 : 0387688528
Total Pages : 629 pages
Book Rating : 4.3/5 (876 download)

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Book Synopsis More Math Into LaTeX by : George Grätzer

Download or read book More Math Into LaTeX written by George Grätzer and published by Springer Science & Business Media. This book was released on 2007-07-14 with total page 629 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the fourth edition of the standard introductory text and complete reference for scientists in all disciplines, as well as engineers. This fully revised version includes important updates on articles and books as well as information on a crucial new topic: how to create transparencies and computer projections, both for classrooms and professional meetings. The text maintains its user-friendly, example-based, visual approach, gently easing readers into the secrets of Latex with The Short Course. Then it introduces basic ideas through sample articles and documents. It includes a visual guide and detailed exposition of multiline math formulas, and even provides instructions on preparing books for publishers.

The Second Machine Age: Work, Progress, and Prosperity in a Time of Brilliant Technologies

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Publisher : W. W. Norton & Company
ISBN 13 : 0393239357
Total Pages : 320 pages
Book Rating : 4.3/5 (932 download)

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Book Synopsis The Second Machine Age: Work, Progress, and Prosperity in a Time of Brilliant Technologies by : Erik Brynjolfsson

Download or read book The Second Machine Age: Work, Progress, and Prosperity in a Time of Brilliant Technologies written by Erik Brynjolfsson and published by W. W. Norton & Company. This book was released on 2014-01-20 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: The big stories -- The skills of the new machines : technology races ahead -- Moore's law and the second half of the chessboard -- The digitization of just about everything -- Innovation : declining or recombining? -- Artificial and human intelligence in the second machine age -- Computing bounty -- Beyond GDP -- The spread -- The biggest winners : stars and superstars -- Implications of the bounty and the spread -- Learning to race with machines : recommendations for individuals -- Policy recommendations -- Long-term recommendations -- Technology and the future (which is very different from "technology is the future").

Precalculus with Limits

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Publisher :
ISBN 13 : 9780538735483
Total Pages : 1152 pages
Book Rating : 4.7/5 (354 download)

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Book Synopsis Precalculus with Limits by : Ron Larson

Download or read book Precalculus with Limits written by Ron Larson and published by . This book was released on 2010-05-04 with total page 1152 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the same design and feature sets as the market leading Precalculus, 8/e, this addition to the Larson Precalculus series provides both students and instructors with sound, consistently structured explanations of the mathematical concepts. Designed for a two-term course, this text contains the features that have made Precalculus a complete solution for both students and instructors: interesting applications, cutting-edge design, and innovative technology combined with an abundance of carefully written exercises. In addition to a brief algebra review and the core precalculus topics, PRECALCULUS WITH LIMITS, International Edition, covers analytic geometry in three dimensions and introduces concepts covered in calculus.

Functions Modeling Change, Graphing Calculator Guide for the TI-83/82

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Author :
Publisher : Wiley
ISBN 13 : 9780471380993
Total Pages : 166 pages
Book Rating : 4.3/5 (89 download)

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Book Synopsis Functions Modeling Change, Graphing Calculator Guide for the TI-83/82 by : Eric Connally

Download or read book Functions Modeling Change, Graphing Calculator Guide for the TI-83/82 written by Eric Connally and published by Wiley. This book was released on 2000-06-05 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the Calculus Consortium based at Harvard University, this comprehensible book prepares readers for the study of calculus, presenting families of functions as models for change. These materials stress conceptual understanding and multiple ways of representing mathematical ideas.

Integral, Measure and Derivative

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Publisher : Courier Corporation
ISBN 13 : 0486165612
Total Pages : 258 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Integral, Measure and Derivative by : G. E. Shilov

Download or read book Integral, Measure and Derivative written by G. E. Shilov and published by Courier Corporation. This book was released on 2013-05-13 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This treatment examines the general theory of the integral, Lebesque integral in n-space, the Riemann-Stieltjes integral, and more. "The exposition is fresh and sophisticated, and will engage the interest of accomplished mathematicians." — Sci-Tech Book News. 1966 edition.

Student Success in College

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Publisher : John Wiley & Sons
ISBN 13 : 1118046854
Total Pages : 422 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Student Success in College by : George D. Kuh

Download or read book Student Success in College written by George D. Kuh and published by John Wiley & Sons. This book was released on 2011-01-07 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: Student Success in College describes policies, programs, and practices that a diverse set of institutions have used to enhance student achievement. This book clearly shows the benefits of student learning and educational effectiveness that can be realized when these conditions are present. Based on the Documenting Effective Educational Practice (DEEP) project from the Center for Postsecondary Research at Indiana University, this book provides concrete examples from twenty institutions that other colleges and universities can learn from and adapt to help create a success-oriented campus culture and learning environment.

Algorithmic Algebra

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Publisher : Springer Science & Business Media
ISBN 13 : 1461243440
Total Pages : 427 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Algorithmic Algebra by : Bhubaneswar Mishra

Download or read book Algorithmic Algebra written by Bhubaneswar Mishra and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algorithmic Algebra studies some of the main algorithmic tools of computer algebra, covering such topics as Gröbner bases, characteristic sets, resultants and semialgebraic sets. The main purpose of the book is to acquaint advanced undergraduate and graduate students in computer science, engineering and mathematics with the algorithmic ideas in computer algebra so that they could do research in computational algebra or understand the algorithms underlying many popular symbolic computational systems: Mathematica, Maple or Axiom, for instance. Also, researchers in robotics, solid modeling, computational geometry and automated theorem proving community may find it useful as symbolic algebraic techniques have begun to play an important role in these areas. The book, while being self-contained, is written at an advanced level and deals with the subject at an appropriate depth. The book is accessible to computer science students with no previous algebraic training. Some mathematical readers, on the other hand, may find it interesting to see how algorithmic constructions have been used to provide fresh proofs for some classical theorems. The book also contains a large number of exercises with solutions to selected exercises, thus making it ideal as a textbook or for self-study.

Solving Systems of Polynomial Equations

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821832514
Total Pages : 162 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Solving Systems of Polynomial Equations by : Bernd Sturmfels

Download or read book Solving Systems of Polynomial Equations written by Bernd Sturmfels and published by American Mathematical Soc.. This book was released on 2002 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bridging a number of mathematical disciplines, and exposing many facets of systems of polynomial equations, Bernd Sturmfels's study covers a wide spectrum of mathematical techniques and algorithms, both symbolic and numerical.

Dynamics in Action

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Publisher : MIT Press
ISBN 13 : 9780262600477
Total Pages : 306 pages
Book Rating : 4.6/5 (4 download)

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Book Synopsis Dynamics in Action by : Alicia Juarrero

Download or read book Dynamics in Action written by Alicia Juarrero and published by MIT Press. This book was released on 2002-01-25 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is the difference between a wink and a blink? The answer is important not only to philosophers of mind, for significant moral and legal consequences rest on the distinction between voluntary and involuntary behavior. However, "action theory"—the branch of philosophy that has traditionally articulated the boundaries between action and non-action, and between voluntary and involuntary behavior—has been unable to account for the difference. Alicia Juarrero argues that a mistaken, 350-year-old model of cause and explanation—one that takes all causes to be of the push-pull, efficient cause sort, and all explanation to be prooflike—underlies contemporary theories of action. Juarrero then proposes a new framework for conceptualizing causes based on complex adaptive systems. Thinking of causes as dynamical constraints makes bottom-up and top-down causal relations, including those involving intentional causes, suddenly tractable. A different logic for explaining actions—as historical narrative, not inference—follows if one adopts this novel approach to long-standing questions of action and responsibility.

Mathematical Economics

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Publisher : MDPI
ISBN 13 : 303936118X
Total Pages : 278 pages
Book Rating : 4.0/5 (393 download)

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Book Synopsis Mathematical Economics by : Vasily E. Tarasov

Download or read book Mathematical Economics written by Vasily E. Tarasov and published by MDPI. This book was released on 2020-06-03 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the application of fractional calculus in economics to describe processes with memory and non-locality. Fractional calculus is a branch of mathematics that studies the properties of differential and integral operators that are characterized by real or complex orders. Fractional calculus methods are powerful tools for describing the processes and systems with memory and nonlocality. Recently, fractional integro-differential equations have been used to describe a wide class of economical processes with power law memory and spatial nonlocality. Generalizations of basic economic concepts and notions the economic processes with memory were proposed. New mathematical models with continuous time are proposed to describe economic dynamics with long memory. This book is a collection of articles reflecting the latest mathematical and conceptual developments in mathematical economics with memory and non-locality based on applications of fractional calculus.

The TEXbook

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Publisher :
ISBN 13 :
Total Pages : 483 pages
Book Rating : 4.:/5 (311 download)

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Book Synopsis The TEXbook by : Donald E. Knuth

Download or read book The TEXbook written by Donald E. Knuth and published by . This book was released on 1989 with total page 483 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fundamentals of Biomechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 1475752989
Total Pages : 332 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Fundamentals of Biomechanics by : Duane Knudson

Download or read book Fundamentals of Biomechanics written by Duane Knudson and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamentals of Biomechanics introduces the exciting world of how human movement is created and how it can be improved. Teachers, coaches and physical therapists all use biomechanics to help people improve movement and decrease the risk of injury. The book presents a comprehensive review of the major concepts of biomechanics and summarizes them in nine principles of biomechanics. Fundamentals of Biomechanics concludes by showing how these principles can be used by movement professionals to improve human movement. Specific case studies are presented in physical education, coaching, strength and conditioning, and sports medicine.

Power System Dynamics and Stability

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Publisher :
ISBN 13 :
Total Pages : 376 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Power System Dynamics and Stability by : Peter W. Sauer

Download or read book Power System Dynamics and Stability written by Peter W. Sauer and published by . This book was released on 1998 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: For a one-semester senior or beginning graduate level course in power system dynamics. This text begins with the fundamental laws for basic devices and systems in a mathematical modeling context. It includes systematic derivations of standard synchronous machine models with their fundamental controls. These individual models are interconnected for system analysis and simulation. Singular perturbation is used to derive and explain reduced-order models.