Calculus Revisited

Calculus Revisited PDF

Author: R.W. Carroll

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 513

ISBN-13: 1475747004

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In this book the details of many calculations are provided for access to work in quantum groups, algebraic differential calculus, noncommutative geometry, fuzzy physics, discrete geometry, gauge theory, quantum integrable systems, braiding, finite topological spaces, some aspects of geometry and quantum mechanics and gravity.

Mathematical Methods and Physical Insights

Mathematical Methods and Physical Insights PDF

Author: Alec J. Schramm

Publisher: Cambridge University Press

Published: 2022-06-16

Total Pages: 787

ISBN-13: 1107156416

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This upper-level undergraduate text's unique approach enables students to develop both physical insight and mathematical intuition.

Functional and Logic Programming

Functional and Logic Programming PDF

Author: Keisuke Nakano

Publisher: Springer Nature

Published: 2020-09-08

Total Pages: 229

ISBN-13: 3030590259

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This book constitutes the proceedings of the 15th International Symposium on Functional and Logic Programming, FLOPS 2020, held in Akita, Japan*, in September 2020. The 12 papers presented in this volume were carefully reviewed and selected from 25 submissions. They cover all aspects of the design, semantics, theory, applications, implementations, and teaching of declarative programming focusing on topics such as functional programming, logic programming, declarative programming, constraint programming, formal method, model checking, program transformation, program refinement, and type theory. *The conference was held virtually due to the COVID-19 pandemic.

Mathematics and Statistics for the Quantitative Sciences

Mathematics and Statistics for the Quantitative Sciences PDF

Author: Matthew Betti

Publisher: CRC Press

Published: 2022-12-07

Total Pages: 472

ISBN-13: 1000806014

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Mathematics and Statistics for the Quantitative Sciences was born from a radical reimagining of first-year mathematics. While calculus is often seen as the foundational mathematics required for any scientist, this often leads to mathematics being seen as some, ultimately useless, hoop that needs to be jumped through in order to do what someone really wants to do. This sentiment is everywhere at every level of education. It even shows up in how people stereotype mathematics courses. What this book aims to do, therefore, is serve as a foundational text in everyday mathematics in a way that is both engaging and practically useful. The book seeks to teach the mathematics needed to start to answer fundamental questions like ‘why’ or ‘how’. Why do we only need to take census data once every few years? How do we determine the optimal dosing of a new pharmaceutical without killing people in the process? Or, more generally, what does it even mean to be average? Or what does it mean for two things to actually be different? These questions require a different way of thinking — a quantitative intuition that goes beyond rote memorization and equips readers to meet the quantitative challenges inherent in any applied discipline. Features Draws from a diverse range of fields to make the applications as inclusive as possible Would be ideal as a foundational mathematical and statistical textbook for any applied quantitative science course.

PAUL HALMOS Celebrating 50 Years of Mathematics

PAUL HALMOS Celebrating 50 Years of Mathematics PDF

Author: John Ewing

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 312

ISBN-13: 1461209676

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Paul Halmos will celebrate his 75th birthday on the 3rd of March 1991. This volume, from colleagues, is an expression of affection for the man and respect for his contributions as scholar, writer, and teacher. It contains articles about Paul, about the times in which he worked and the places he has been, and about mathematics. Paul has furthered his profession in many ways and this collection reflects that diversity. Articles about Paul are not biographical, but rather tell about his ideas, his philosophy, and his style. Articles about the times and places in which Paul has worked describe people, events, and ways in which Paul has influenced students and colleagues over the past 50 years. Articles about mathematics are about all kinds of mathematics, including operator theory and Paul's research in the subject. This volume represents a slice of mathematical life and it shows how many parts of mathematics Paul has touched. It is fitting that this volume has been produced with the support and cooperation of Springer-Verlag. For over 35 years, Paul has contributed to mathematics publishing as founder and editor of many outstanding series.

Programming Languages and Systems

Programming Languages and Systems PDF

Author: Helmut Seidl

Publisher: Springer

Published: 2012-03-22

Total Pages: 614

ISBN-13: 3642288693

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This book constitutes the refereed proceedings of the 21st European Symposium on Programming, ESOP 2012, held in Tallinn, Estonia, as part of ETAPS 2012, in March/April 2012. The 28 full papers, presented together with one full length invited talk, were carefully reviewed and selected from 92 submissions. Papers were invited on all aspects of programming language research, including: programming paradigms and styles, methods and tools to write and specify programs and languages, methods and tools for reasoning about programs, methods and tools for implementation, and concurrency and distribution.

Intelligent Learning Environments: The Case of Geometry

Intelligent Learning Environments: The Case of Geometry PDF

Author: Jean-Marie Laborde

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 285

ISBN-13: 3642609279

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This book is a thoroughly revised result, updated to mid-1995, of the NATO Advanced Research Workshop on "Intelligent Learning Environments: the case of geometry", held in Grenoble, France, November 13-16, 1989. The main aim of the workshop was to foster exchanges among researchers who were concerned with the design of intelligent learning environments for geometry. The problem of student modelling was chosen as a central theme of the workshop, insofar as geometry cannot be reduced to procedural knowledge and because the significance of its complexity makes it of interest for intelligent tutoring system (ITS) development. The workshop centred around the following themes: modelling the knowledge domain, modelling student knowledge, design ing "didactic interaction", and learner control. This book contains revised versions of the papers presented at the workshop. All of the chapters that follow have been written by participants at the workshop. Each formed the basis for a scheduled presentation and discussion. Many are suggestive of research directions that will be carried out in the future. There are four main issues running through the papers presented in this book: • knowledge about geometry is not knowledge about the real world, and materialization of geometrical objects implies a reification of geometry which is amplified in the case of its implementation in a computer, since objects can be manipulated directly and relations are the results of actions (Laborde, Schumann). This aspect is well exemplified by research projects focusing on the design of geometric microworlds (Guin, Laborde).