Search results for "Python Arithmetic"
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Subsystems of Second Order Arithmetic
Almost all of the problems studied in this book are motivated by an overriding foundational question: What are the appropriate axioms for mathematics? Through a series of case studies, these axioms are examined to prove particular theorems in core mathematical areas such as algebra, analysis, and topology, focusing on the language of second-order arithmetic, the weakest language rich enough to express and develop the bulk of mathematics. In many cases, if a mathematical theorem is proved from appropriately weak set existence axioms, then the axioms will be logically equivalent to the theorem. Furthermore, only a few specific set existence axioms arise repeatedly in this context, which in turn correspond to classical foundational programs. This is the theme of reverse mathematics, which dominates the first half of the book. The second part focuses on models of these and other subsystems of second-order arithmetic.
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Applying Math with Python
Discover easy-to-follow solutions and techniques to help you to implement applied mathematical concepts such as probability, calculus, and equations using Python's numeric and scientific librariesKey FeaturesCompute complex mathematical problems using programming logic with the help of step-by-step recipesLearn how to utilize Python's libraries for computation, mathematical modeling, and statisticsDiscover simple yet effective techniques for solving mathematical equations and apply them in real-world statisticsBook DescriptionPython, one of the world's most popular programming languages, has a number of powerful packages to help you tackle complex mathematical problems in a simple and efficient way. These core capabilities help programmers pave the way for building exciting applications in various domains, such as machine learning and data science, using knowledge in the computational mathematics domain. The book teaches you how to solve problems faced in a wide variety of mathematical fields, including calculus, probability, statistics and data science, graph theory, optimization, and geometry. You'll start by developing core skills and learning about packages covered in Python's scientific stack, including NumPy, SciPy, and Matplotlib. As you advance, you'll get to grips with more advanced topics of calculus, probability, and networks (graph theory). After you gain a solid understanding of these topics, you'll discover Python's applications in data science and statistics, forecasting, geometry, and optimization. The final chapters will take you through a collection of miscellaneous problems, including working with specific data formats and accelerating code. By the end of this book, you'll have an arsenal of practical coding solutions that can be used and modified to solve a wide range of practical problems in computational mathematics and data science.What you will learnGet familiar with basic packages, tools, and libraries in Python for solving mathematical problemsExplore various techniques that will help you to solve computational mathematical problemsUnderstand the core concepts of applied mathematics and how you can apply them in computer scienceDiscover how to choose the most suitable package, tool, or technique to solve a certain problemImplement basic mathematical plotting, change plot styles, and add labels to the plots using MatplotlibGet to grips with probability theory with the Bayesian inference and Markov Chain Monte Carlo (MCMC) methodsWho this book is forThis book is for professional programmers and students looking to solve mathematical problems computationally using Python. Advanced mathematics knowledge is not a requirement, but a basic knowledge of mathematics will help you to get the most out of this book. The book assumes familiarity with Python concepts of data structures.
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Arithmetic Tales
This textbook covers a wide array of topics in analytic and multiplicative number theory, suitable for graduate level courses.Extensively revised and extended, this Advanced Edition takes a deeper dive into the subject, with the elementary topics of the previous edition making way for a fuller treatment of more advanced topics. The core themes of the distribution of prime numbers, arithmetic functions, lattice points, exponential sums and number fields now contain many more details and additional topics. In addition to covering a range of classical and standard results, some recent work on a variety of topics is discussed in the book, including arithmetic functions of several variables, bounded gaps between prime numbers à la Yitang Zhang, Mordell's method for exponential sums over finite fields, the resonance method for the Riemann zeta function, the Hooley divisor function, and many others. Throughout the book, the emphasis is on explicit results.Assuming only familiarity with elementary number theory and analysis at an undergraduate level, this textbook provides an accessible gateway to a rich and active area of number theory. With an abundance of new topics and 50% more exercises, all with solutions, it is now an even better guide for independent study.
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Matematicas y Programacion En Python (2* Edicion)
El libro contiene 120 programas originales de Python y mas de 110 ilustraciones. Esperamos que sea util tanto a estudiantes de bachillerato, como a estudiantes de ciencias de los primeros cursos universitarios, asi como recurso pedagogico para los profesores. Todos los programas y graficas del libro se han elaborado utilizando software libre, que se puede obtener gratuita y legalmente en internet, por lo que no es necesario adquirir ningun software adicional. El lenguaje Python es especialmente adecuado para el aprendizaje de programacion, y actualmente es el lenguaje mas utilizado como lenguaje de introduccion a la programacion en las universidades de Estados Unidos. Se puede programar en Python tanto si eres usuario de Windows como si prefieres Mac o Linux. Puedes descargar gratuitamente un extracto de mas de 70 paginas del libro en formato pdf desde nuestro sitio web www.pysamples.com. Los compradores del libro tambien pueden descargar gratuitamente el codigo de los programas del libro.
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Arithmetic of Dynamical Systems
This book provides an introduction to the relatively new discipline of arithmetic dynamics. Whereas classical discrete dynamics is the study of iteration of self-maps of the complex plane or real line, arithmetic dynamics is the study of the number-theoretic properties of rational and algebraic points under repeated application of a polynomial or rational function. A principal theme of arithmetic dynamics is that many of the fundamental problems in the theory of Diophantine equations have dynamical analogs.This graduate-level text provides an entry for students into an active field of research and serves as a standard reference for researchers.
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Python Programming and Numerical Methods
Python Programming and Numerical Methods: A Guide for Engineers and Scientists introduces programming tools and numerical methods to engineering and science students, with the goal of helping the students to develop good computational problem-solving techniques through the use of numerical methods and the Python programming language. Part One introduces fundamental programming concepts, using simple examples to put new concepts quickly into practice. Part Two covers the fundamentals of algorithms and numerical analysis at a level that allows students to quickly apply results in practical settings.
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11+ Essentials Mathematics: Mental Arithmetic Book 1
Replaces 9781908684462. Fundamental mathematical skills are at the heart of 11 plus and common entrance exams. Mathematical questions at 11 plus are typically a combination of worded problems, requiring comprehension and mathematical manipulation of data, and quick-fire numerical questions, testing a child s raw mathematical ability. This collection of tests is designed to expose a child to both types of question. The questions provided within this book are intended to develop the fundamental building blocks of mathematics to equip a child with the skills required to sit the numerical reasoning sections of the 11 plus and common entrance exams. The suggested time for each paper is based on data obtained from conventional classroom testing sessions. Students requiring publications that address the numerical reasoning sections of 11 plus will also benefit from the 11+ Essentials Numerical Reasoning Multi-part Book 1 and Book 2, and Numerical Reasoning Quick-fire Book 1 and 2. These books contain practice papers that are representative of the exams set by both independent and public schools and are best used as real exam practice. Extensively road-tested by Eleven Plus Exams, all 11+ Essentials tests are best used to benchmark a child's performance. The online service helps to identify areas for improvement and, crucially, to gauge relative progress. They are perfect for use both in the classroom and at home.
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