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Algebra Of Programming


Algebra Of Programming
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Algebra Of Programming


Algebra Of Programming
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Author : Richard Simpson Bird
language : en
Publisher:
Release Date : 1997

Algebra Of Programming written by Richard Simpson Bird and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with categories.


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Algebra Of Programming


Algebra Of Programming
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Author : Richard Bird
language : en
Publisher:
Release Date : 1997

Algebra Of Programming written by Richard Bird and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Computers categories.


Describing an algebraic approach to programming, based on a categorical calculus of relations, this book is suitable for the derivation of individual programs and for the study of programming principles in general.



A Programmer S Introduction To Mathematics


A Programmer S Introduction To Mathematics
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Author : Jeremy Kun
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2018-11-27

A Programmer S Introduction To Mathematics written by Jeremy Kun and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-27 with Computer science categories.


A Programmer's Introduction to Mathematics uses your familiarity with ideas from programming and software to teach mathematics. You'll learn about the central objects and theorems of mathematics, including graphs, calculus, linear algebra, eigenvalues, optimization, and more. You'll also be immersed in the often unspoken cultural attitudes of mathematics, learning both how to read and write proofs while understanding why mathematics is the way it is. Between each technical chapter is an essay describing a different aspect of mathematical culture, and discussions of the insights and meta-insights that constitute mathematical intuition. As you learn, we'll use new mathematical ideas to create wondrous programs, from cryptographic schemes to neural networks to hyperbolic tessellations. Each chapter also contains a set of exercises that have you actively explore mathematical topics on your own. In short, this book will teach you to engage with mathematics. A Programmer's Introduction to Mathematics is written by Jeremy Kun, who has been writing about math and programming for 8 years on his blog "Math Intersect Programming." As of 2018, he works in datacenter optimization at Google.



Elements Of Programming


Elements Of Programming
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Author : Alexander Stepanov
language : en
Publisher: Lulu.com
Release Date : 2019-06-17

Elements Of Programming written by Alexander Stepanov and has been published by Lulu.com this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-17 with Computers categories.


Elements of Programming provides a different understanding of programming than is presented elsewhere. Its major premise is that practical programming, like other areas of science and engineering, must be based on a solid mathematical foundation. This book shows that algorithms implemented in a real programming language, such as C++, can operate in the most general mathematical setting. For example, the fast exponentiation algorithm is defined to work with any associative operation. Using abstract algorithms leads to efficient, reliable, secure, and economical software.



Lisp Lore And Logic


Lisp Lore And Logic
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Author : W. Richard Stark
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Lisp Lore And Logic written by W. Richard Stark and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Computers categories.


Here is a presentation of LISP which is both practical and theoretical. For the practical, the syntax of the language, the programming styles, and the semantics of computation are carefully developed. For the theoretical, the algebra of interpreters, the lambda calculus as a foundation for LISP, and the algebraic significance of LISP's approach to artificial intelligence are discussed. As the title suggests, the book reaches beyond the technical side of LISP to present colorful applications, historical comments and quotations, computational philosophy, consequences of LISP's exceptional power, and much more. The material has been designed to appeal to a variety of readers, from the bright freshman to the practicing professional, and from computer scientists and mathematicians to chemists, engineers, and philosophers.



Geometric Algebra For Computer Science


Geometric Algebra For Computer Science
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Author : Leo Dorst
language : en
Publisher: Elsevier
Release Date : 2010-07-26

Geometric Algebra For Computer Science written by Leo Dorst and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-26 with Computers categories.


Until recently, almost all of the interactions between objects in virtual 3D worlds have been based on calculations performed using linear algebra. Linear algebra relies heavily on coordinates, however, which can make many geometric programming tasks very specific and complex-often a lot of effort is required to bring about even modest performance enhancements. Although linear algebra is an efficient way to specify low-level computations, it is not a suitable high-level language for geometric programming. Geometric Algebra for Computer Science presents a compelling alternative to the limitations of linear algebra. Geometric algebra, or GA, is a compact, time-effective, and performance-enhancing way to represent the geometry of 3D objects in computer programs. In this book you will find an introduction to GA that will give you a strong grasp of its relationship to linear algebra and its significance for your work. You will learn how to use GA to represent objects and perform geometric operations on them. And you will begin mastering proven techniques for making GA an integral part of your applications in a way that simplifies your code without slowing it down. * The first book on Geometric Algebra for programmers in computer graphics and entertainment computing* Written by leaders in the field providing essential information on this new technique for 3D graphics* This full colour book includes a website with GAViewer, a program to experiment with GA



3d Math Primer For Graphics And Game Development 2nd Edition


3d Math Primer For Graphics And Game Development 2nd Edition
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Author : Fletcher Dunn
language : en
Publisher: CRC Press
Release Date : 2011-11-02

3d Math Primer For Graphics And Game Development 2nd Edition written by Fletcher Dunn and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-02 with Computers categories.


This engaging book presents the essential mathematics needed to describe, simulate, and render a 3D world. Reflecting both academic and in-the-trenches practical experience, the authors teach you how to describe objects and their positions, orientations, and trajectories in 3D using mathematics. The text provides an introduction to mathematics for game designers, including the fundamentals of coordinate spaces, vectors, and matrices. It also covers orientation in three dimensions, calculus and dynamics, graphics, and parametric curves.



From Mathematics To Generic Programming


From Mathematics To Generic Programming
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Author : Alexander A. Stepanov
language : en
Publisher: Addison-Wesley Professional
Release Date : 2014-11-13

From Mathematics To Generic Programming written by Alexander A. Stepanov and has been published by Addison-Wesley Professional this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-13 with Computers categories.


In this substantive yet accessible book, pioneering software designer Alexander Stepanov and his colleague Daniel Rose illuminate the principles of generic programming and the mathematical concept of abstraction on which it is based, helping you write code that is both simpler and more powerful. If you’re a reasonably proficient programmer who can think logically, you have all the background you’ll need. Stepanov and Rose introduce the relevant abstract algebra and number theory with exceptional clarity. They carefully explain the problems mathematicians first needed to solve, and then show how these mathematical solutions translate to generic programming and the creation of more effective and elegant code. To demonstrate the crucial role these mathematical principles play in many modern applications, the authors show how to use these results and generalized algorithms to implement a real-world public-key cryptosystem. As you read this book, you’ll master the thought processes necessary for effective programming and learn how to generalize narrowly conceived algorithms to widen their usefulness without losing efficiency. You’ll also gain deep insight into the value of mathematics to programming—insight that will prove invaluable no matter what programming languages and paradigms you use. You will learn about How to generalize a four thousand-year-old algorithm, demonstrating indispensable lessons about clarity and efficiency Ancient paradoxes, beautiful theorems, and the productive tension between continuous and discrete A simple algorithm for finding greatest common divisor (GCD) and modern abstractions that build on it Powerful mathematical approaches to abstraction How abstract algebra provides the idea at the heart of generic programming Axioms, proofs, theories, and models: using mathematical techniques to organize knowledge about your algorithms and data structures Surprising subtleties of simple programming tasks and what you can learn from them How practical implementations can exploit theoretical knowledge



Programming For Mathematicians


Programming For Mathematicians
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Author : Raymond Seroul
language : en
Publisher: Springer Science & Business Media
Release Date : 2000

Programming For Mathematicians written by Raymond Seroul and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Computers categories.


Aimed at teaching mathematics students how to program using their knowledge of mathematics, the entire books emphasis is on "how to think" when programming. Three methods for constructing an algorithm or a program are used: manipulation and enrichment of existing code; use of recurrent sequences; deferral of code writing, in order to deal with one difficulty at a time. Many theorems are mathematically proved and programmed, and the text concludes with an explanation of how a compiler works and how to compile "by hand" little programs. Intended for anyone who thinks mathematically and wants to program and play with mathematics.



Beginning Math And Physics For Game Programmers


Beginning Math And Physics For Game Programmers
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Author : Wendy Stahler
language : en
Publisher: New Riders
Release Date : 2004

Beginning Math And Physics For Game Programmers written by Wendy Stahler and has been published by New Riders this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Computers categories.


Whether one is a hobbyist or a budding game design pro, the objective is probably the same: to create the coolest games possible using today's increasingly sophisticated technology. Through clear, step-by-step instructions, author Wendy Stahler covers the trigonometry snippets, vector operations, and 1D/2D/3D motion designers need to improve their level of game development.