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McIntyre N: Calculus for the Curious

Calculus for the Curious

Foreword Acknowledgments Introduction Chapter 1: Python Basics Chapter 2: Drawing with Turtle Graphics Chapter 3: Functions and Derivatives Chapter 4: Integrals Chapter 5: Ordinary Differential Equations and Vectors Chapter 6: Dynamical Systems Chapter 7: Linear Algebra with NumPy Chapter 8: Multivariable Calculus Chapter 9: Fourier Transforms Appendix A Bibliography Index

Weight representations are representations that include many important examples studied by both mathematicians and physicists. Using a combination of algebraic, geometric, and combinatorial methods, description of various classes (simple and indecomposable) of representations is provided in the book. The book serves advanced graduate students and junior researchers who work in the field of representation theory of Lie algebras.

Weight Representations

To write effective code and applications, software engineers and developers have to be able to frame user/customer needs effectively, capture program requirements and use cases, and then develop suitable software architecture and code to meet the need. Code Chronicles: The Art of Storytelling in Software helps readers write better software by teaching readers how to write stories in the context of software development. The book explains the roots of storytelling, clarifies that storytelling historically has been a very powerful tool used to pass along knowledge, presents where storytelling is already present implicitly in software development, discusses how to make it more effective, and finally present experiences in storytelling from software engineering and other scientific disciplines, to foster a full understanding of its power. The authors comprehensively present the pivotal role of storytelling in writing software, and they explain how to do it in a simple, hands-on approach, also taking advantage of clear case studies written by experts in the field.

The Art of Storytelling in Software

Code Chronicles

Differential algebra explores properties of solutions of systems of (ordinary or partial, linear or non-linear) differential equations from an algebraic point of view. It includes as special cases algebraic systems as well as differential systems with algebraic constraints. This algebraic theory of Joseph F Ritt and Ellis R Kolchin is further enriched by its interactions with algebraic geometry, Diophantine geometry, differential geometry, model theory, control theory, automatic theorem proving, combinatorics, and difference equations. Differential algebra now plays an important role in computational methods such as symbolic integration and symmetry analysis of differential equations. These proceedings consist of tutorial and survey papers presented at the Second International Workshop on Differential Algebra and Related Topics at Rutgers University, Newark in April 2007. As a sequel to the proceedings of the First International Workshop, this volume covers more related subjects, and provides a modern and introductory treatment to many facets of differential algebra, including surveys of known results, open problems, and new, emerging, directions of research. It is therefore an excellent companion and reference text for graduate students and researchers.

Differential Algebra and Related Topics II

Annals of Mathematics Studies

A comprehensive new theory of adelic line bundles on quasi-projective varieties over finitely generated fields This book introduces a comprehensive theory of adelic line bundles on quasi-projective varieties over finitely generated fields, developed in both geometric and arithmetic contexts. In the geometric setting, adelic line bundles are defined as limits of line bundles on projective compactifications under the boundary topology. In the arithmetic setting, they are defined as limits of Hermitian line bundles on projective arithmetic compactifications, also under the boundary topology. After establishing these foundational definitions, the book uses the theory to explore key concepts such as intersection theory, effective sections, volumes, and positivity of adelic line bundles. It also applies these results to study height functions of algebraic points and prove an equidistribution theorem on quasi-projective varieties. This theory has broad applications in the study of numerical, dynamical, and Diophantine properties of moduli spaces, quasi-projective varieties, and varieties over finitely generated fields.

Adelic Line Bundles on Quasi-projective Varieties

Programming Language Pragmatics is the most comprehensive programming language textbook available today, with nearly 1000 pages of content in the book, plus hundreds more pages of reference materials and ancillaries online. Michael Scott takes theperspective that language design and language implementation are tightly interconnected, and that neither can be fully understood in isolation. In an approachable, readable style, he discusses more than 50 languages in the context of understanding how code isinterpreted or compiled, providing an organizational framework for learning new languages, regardless of platform. This edition has been thoroughly updated to cover the most recent developments in programming language design and provides both a solid understanding of the most important issues driving software development today

Programming Language Pragmatics

Written by a data scientist with decades of practical experience on some of the most challenging datasets, this book caters to both novices and professionals working in the fields of data science and machine learning. It enables novices to enter these fields with confidence and ease. There are no formal prerequisites. An introduction to Python is included. The book then proceeds to cover some of the language's most advanced features. The mathematical foundations that follow are meticulously explained. The discussion then proceeds to a practical consideration of data science and machine learning. The material is delivered through case studies developed on real datasets. The reader is invited to follow these case studies, and so develop experience in working with real data. Numerous solved exercises make this work suitable for self-study. The contents of this book have been taught by the author to students of different age groups and levels of experience at Imperial College London and at the Thalesians Intensive Summer School in Artificial Intelligence over the years.

Python, Data Science And Machine Learning: From Scratch To Productivity

Using Computational Thinking in Everyday Life

Problem Solving with Python

The Rust Programming Language, 3rd Edition

Dieses Buch deckt alle relevanten mathematischen Themen eines Grundstudiums der Natur- oder Ingenieurwissenschaften ab, von der Analysis (inklusive einer ausführlichen Behandlung gewöhnlicher Differentialgleichungen mitsamt Modellierungsaspekten) und der linearen Algebra bis hin zu den wichtigsten Lösungsmethoden für partielle Differentialgleichungen. Das selbstständige Erlernen der Inhalte wird durch zahlreiche anwendungs- und praxisrelevante Beispiele motiviert und durch interaktive Aufgaben, verlinkte Videos und Repetitionsfragen gefördert. 
 Außerdem werden die Studierenden durch direkt in den entsprechenden Programmen bearbeitbare Dateien befähigt, mit den gängigsten Computer-Algebra-Systemen zu arbeiten, wodurch die eigene Auseinandersetzung mit der Materie weiter unterstützt wird.
 Insgesamt wird hier nicht nur eine äußerst geschickte didaktische Herangehensweise an die Mathematik umgesetzt, sondern die Themen werden zudem mit modernsten multimedialen Mitteln aufbereitet.&nbsp;&nbsp;Die AutorinDr. Laura Keller
 ist Senior Scientist an der ETH Zürich, also einerseits als Dozentin und andererseits als Forscherin tätig. Insbesondere hält sie seit mehreren Jahren Grundstudium-Mathematik-Vorlesungen für Studierende, die Mathematik nicht als Hauptfach belegen. Diese Vorlesungen sind bei den Studierenden nicht zuletzt wegen des großen didaktischen Geschicks der Dozentin und den vielen Praxisbezügen sehr geschätzt.

Dieses Buch deckt alle relevanten mathematischen Themen eines Grundstudiums der Natur- oder Ingenieurwissenschaften ab, von der Analysis (inklusive einer ausführlichen Behandlung gewöhnlicher Differentialgleichungen mitsamt Modellierungsaspekten) und der linearen Algebra bis hin zu den wichtigsten Lösungsmethoden für partielle Differentialgleichungen. Das selbstständige Erlernen der Inhalte wird durch zahlreiche anwendungs- und praxisrelevante Beispiele motiviert und durch interaktive Aufgaben, verlinkte Videos und Repetitionsfragen gefördert. 
 Außerdem werden die Studierenden durch direkt in den entsprechenden Programmen bearbeitbare Dateien befähigt, mit den gängigsten Computer-Algebra-Systemen zu arbeiten, wodurch die eigene Auseinandersetzung mit der Materie weiter unterstützt wird.
 Insgesamt wird hier nicht nur eine äußerst geschickte didaktische Herangehensweise an die Mathematik umgesetzt, sondern die Themen werden zudem mit modernstenmultimedialen Mitteln aufbereitet.&nbsp;&nbsp;

für Naturwissenschaftler, Ingenieure und Mediziner

Mathematik interaktiv und verständlich

Java Generics and Collections has been the go-to guide to generics for more than a decade. This second edition covers Java 21, providing a clear guide to generics from their most common uses to the strangest corner cases, giving you everything you need to know to use and write generic APIs effectively. It covers the collections library thoroughly, so you'll always know how and when to use each collection for any given task. And it explains stream processing, so you'll know which model to use and how they interoperate to get the best out of the platform library. This indispensable guide covers: <ul> <li>Fundamentals of generics: type parameters and generic methods </li><li>Subtyping and wildcards </li><li>Generics and reflection </li><li>Design patterns for generics </li><li>Sets, queues, lists, maps, and their implementations </li><li>Concurrent programming and thread safety with collections </li><li>Performance of different collection implementations </li><li>Best practices for using and extending the Java collections framework </li><li>Design philosophy and comparison with other collections libraries </li></ul>

Fundamentals and Recommended Practices

Java Generics and Collections

Learn How to Code through Interactive Examples

Python Practice Lab

Chapman & Hall/CRC Computational Science

This book is a well-recognized and leading guidebook on High Performance Computing for a broad audience of readers from industry and academia. The new edition is completely reorganized and updated to include the latest research in HPC. A new introductory chapter and a new chapter on accelerated computing have been added to the book to keep pace with recent advances.

This book is a well-recognized and leading guidebook on High Performance Computing for a broad audience of readers from industry and academia. The new edition is completely reorganized and updated to include the latest research in HPC. A new introductory chapter and a new chapter on accelerated computing have been added to the book to keep pace with recent advances.

Introduction to High Performance Computing for Scientists and Engineers, Second Edition

Calculus for the Curious

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Bibliografische Angaben

Inhaltsverzeichnis

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