Programming For Mathematicians
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Programming For Mathematicians
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Author : Raymond Seroul
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
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 2012-12-06 with Mathematics 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.
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
History Of Mathematical Programming
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Author : J. K. Lenstra
language : en
Publisher: Cwi
Release Date : 1991
History Of Mathematical Programming written by J. K. Lenstra and has been published by Cwi this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Business & Economics categories.
The historical span of mathematical programming, from its conception to its present flourishing state is remarkably short. The 1940's and 1950's were an exciting period when there was a great deal of research activity, but the growth of the field during the 1960's and 1970's worldwide already appears to be of historical interest too, because much of the progress during that time has had an important influence on present-day research. In this volume some pioneers of the field, as well as some prominent younger colleagues, have put their personal recollections in writing. The contributions bear witness to a time of impressive scientific progress, in which the rich new field of mathematical programming was detected and brought up.
Recent Developments In Mathematical Programming
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Author : Santosh Kumar
language : en
Publisher: CRC Press
Release Date : 1991
Recent Developments In Mathematical Programming written by Santosh Kumar and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mathematics categories.
This book is concerned with theoretical developments in the area of mathematical programming including new algorithms (analytic and heuristic) and their applications in science and industry. It exposes recent mathematical developments to a larger audience in science and industry who may not be equipped with the necessary research background and provides good references in many branches of mathematical programming. The text includes research and tutorial papers giving details of use of recent developments in applied areas, as well as review and state-of-the-art papers providing a soruce of references to researchers in this field.
Computer Mathematics For Programmers
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Author : Darrell H. Abney
language : en
Publisher: Elsevier
Release Date : 2014-05-09
Computer Mathematics For Programmers written by Darrell H. Abney and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-09 with Reference categories.
Computer Mathematics for Programmers presents the Mathematics that is essential to the computer programmer. The book is comprised of 10 chapters. The first chapter introduces several computer number systems. Chapter 2 shows how to perform arithmetic operations using the number systems introduced in Chapter 1. The third chapter covers the way numbers are stored in computers, how the computer performs arithmetic on real numbers and integers, and how round-off errors are generated in computer programs. Chapter 4 details the use of algorithms and flowcharting as problem-solving tools for computer programming. Subsequent chapters focuses on specific mathematical topics such as algebra, sets, logic, Boolean algebra, matrices, graphing and linear programming, and statistics. Students of computer programming will find the text very useful.
Mathematical Programming
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Author : T. C. Hu
language : en
Publisher: Academic Press
Release Date : 2014-05-10
Mathematical Programming written by T. C. Hu and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.
Mathematical Programming provides information pertinent to the developments in mathematical programming. This book covers a variety of topics, including integer programming, dynamic programming, game theory, nonlinear programming, and combinatorial equivalence. Organized into nine chapters, this book begins with an overview of optimization of very large-scale planning problems that can be achieved on significant problems. This text then introduces non-stationary policies and determines certain operating characteristics of the optimal policy for a very long planning horizon. Other chapters consider the perfect graph theorem by defining some well-known integer-valued functions of an arbitrary graph. This book discusses as well integer programming that deals with the class of mathematical programming problems in which some or all of the variables are required to be integers. The final chapter deals with the basic theorem of game theory. This book is a valuable resource for readers who are interested in mathematical programming. Mathematicians will also find this book useful.
Object Oriented Programming In Python For Mathematicians
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Author : David Ham
language : en
Publisher:
Release Date : 2021-12-16
Object Oriented Programming In Python For Mathematicians written by David Ham and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-16 with categories.
This book is for mathematicians, scientists, and engineers who have learned the very basics of programming in Python, and who would like to become more capable programmers. You will learn the higher level programming concepts such as objects, inheritance, and abstract data types needed to elegantly create more advanced programs. At the same time, emphasis is placed on programming skills such as good style, so you learn to write code that you and others find easy to understand, and interpreting and debugging errors. If you find yourself baffled by the pages of error messages that Python emits, and would like to make sense of them, then this book is for you. Learning the material is supported by explanatory videos throughout and skeleton codes for all of the exercises, including automated tests of your work. The book takes a mathematician's view of programming, introducing higher level programming abstractions by analogy with the abstract objects that make up higher mathematics. Examples and exercises are chosen from across mathematics, though the actual mathematical knowledge required to understand this book is limited to differentiating functions of one variable. Contents Introduction: abstraction in mathematics and programming Programs in files Objects and abstraction A matter of style Abstract data types Errors and exceptions Inheritance and composition Debugging and testing Trees and directed acyclic graphs Further object-oriented features
Mathematics And Programming For Machine Learning With R
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Author : William B. Claster
language : en
Publisher: CRC Press
Release Date : 2020-10-26
Mathematics And Programming For Machine Learning With R written by William B. Claster and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-26 with Computers categories.
Based on the author’s experience in teaching data science for more than 10 years, Mathematics and Programming for Machine Learning with R: From the Ground Up reveals how machine learning algorithms do their magic and explains how these algorithms can be implemented in code. It is designed to provide readers with an understanding of the reasoning behind machine learning algorithms as well as how to program them. Written for novice programmers, the book progresses step-by-step, providing the coding skills needed to implement machine learning algorithms in R. The book begins with simple implementations and fundamental concepts of logic, sets, and probability before moving to the coverage of powerful deep learning algorithms. The first eight chapters deal with probability-based machine learning algorithms, and the last eight chapters deal with machine learning based on artificial neural networks. The first half of the book does not require mathematical sophistication, although familiarity with probability and statistics would be helpful. The second half assumes the reader is familiar with at least one semester of calculus. The text guides novice R programmers through algorithms and their application and along the way; the reader gains programming confidence in tackling advanced R programming challenges. Highlights of the book include: More than 400 exercises A strong emphasis on improving programming skills and guiding beginners to the implementation of full-fledged algorithms Coverage of fundamental computer and mathematical concepts including logic, sets, and probability In-depth explanations of machine learning algorithms
A Programmer S Introduction To Mathematics
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Author : Jeremy Kun
language : en
Publisher:
Release Date : 2020-05-17
A Programmer S Introduction To Mathematics written by Jeremy Kun and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-17 with 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 10 years on his blog "Math Intersect Programming." As of 2020, he works in datacenter optimization at Google.The second edition includes revisions to most chapters, some reorganized content and rewritten proofs, and the addition of three appendices.
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.