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Lutzer Carl V.: Professional Calculus,
Multivariable

Professional Calculus, Multivariable

Fractional Order Thinking in Exploring the Frontiers of STEM

Theory and Practice

Fractional Order Intelligent Modeling for Lithium-Ion Batteries

This book caters to both prospective and current mathematics educators at the school and university levels, along with their students and anyone intrigued by the possibilities of integrating software into mathematics education.

Mathematics, being a unified science, is best comprehended when its cohesive nature is emphasized and demonstrated to students. Educational software assumes a pivotal role in achieving this pedagogical goal.

The book outlines the author's methodology in utilizing educational software for developing and applying computer models, grounded in a thorough analysis of the subject matter. This approach is vividly illustrated through examples employing a non-profit authoring program (VisuMatica) provided with the book, enabling users to:Visualize formal mathematical concepts and their interrelations in theorems,
Effortlessly explore and uncover features through a user-friendly interface,
Construct models of the studied material without the need for specialized syntax or programming skills.



Through the guidance of this book, students will discover mathematics as clear, visible, friendly, and enjoyable.

The author exemplifies this approach by focusing on the functional line of mathematics, spanning from school basics to advanced university courses in higher mathematics. Importantly, the assimilated ideas and techniques are readily applicable to teaching and learning other areas of mathematics.

Mathematics Studies Through Technology: Precalculus, Calculus, And More

Theory of Stochastic Integrals aims to provide an answer to the problem of phenomena that cannot be analyzed through the classical Itô theory by introducing readers to the study of some interpretations of stochastic integrals with respect to stochastic processes that are not necessarily semimartingales.

Theory of Stochastic Integrals aims to provide an answer to the problem of phenomena that cannot be analyzed through the classical Itô theory by introducing readers to the study of some interpretations of stochastic integrals with respect to stochastic processes that are not necessarily semimartingales.

Theory of Stochastic Integrals

Exam board: Pearson EdexcelLevel: GCSE Level 2Subject: MathsFirst teaching: 2024, First exam: 2025

Edexcel Level 2 Extended Maths Certificate Study and Practice

Springer Optimization and Its Applications

Optimal Quadratic Programming and QCQP Algorithms with Case Studies

Advanced Engineering Calculus is a content-rich, user-friendly and compact learning and teaching resource. It offers over 440 problems -- many with multiple parts -- as well as detailed figures to aid readers in visualizing and understanding the topics covered.Engaging with a wide range of advanced calculus topics and their applications, this book caters to students enrolled in the sciences and applied sciences. Each chapter begins with an accessible summary of the relevant mathematical notions and their properties. Questions are sorted by topic and accompanied by detailed solutions. To further aid readers, precise and consistent mathematical notation and vocabulary are used throughout. This produces a learning resource capable of clearly communicating complex and advanced calculus ideas and their applications.In short, this book serves as a cross between a handbook, a learning guide, and rich teaching resource on a wide range of advanced calculus topics, something that has been missing in the otherwise crowded field of calculus titles.

Advanced Engineering Calculus: A Collection Of Problems With Solutions

Applied Mathematical Sciences

&nbsp; Within the past few decades, there has been an accelerating development of methods for studying nonlinear equations. Nonlinear analysis offers exciting prospects for certain specific areas of nonlinear problems with continuum mechanics. The objective of this book is to carry out such studies for problems in nonlinear elasticity. This second edition is an enlarged, completely updated, and extensively revised version of the authoritative first edition. It is directed toward the scientist, engineer, and mathematician who wish to see careful treatments of precisely formulated problems. Each chapter contains a wealth of interesting, challenging, and tractable exercises.

I: Strings, Cables, Rods, and Shells

Nonlinear Problems of Elasticity

This comprehensive compendium addresses a critical need in the AI and machine learning era by bridging foundational information theory (IT) concepts with practical applications in statistical learning. Unlike traditional IT textbooks, this volume emphasizes how IT principles, such as entropy and source coding, underpin modern machine learning techniques like cross-entropy, decision trees, and evidence-lower bounds.This unique book connects IT with probabilistic inference, illustrated through real-world applications, such as decoding LDPC codes for error correction. The inclusion of the Lea probabilistic programming package is particularly valuable for pedagogy, offering students a hands-on tool to solve numerical problems and reinforce theoretical concepts.The useful reference text benefits professionals, researchers, academics and students in the fields of calculus and probability, communications and information sciences.

Introduction To Information Theory And Probabilistic Inference, An

This book is designed for first-year university students specializing in business and economics. With real-world business and economics applications seamlessly integrated around the core calculus concepts, students will find the book of real practical value throughout their time in university and beyond.

This book is designed for first-year university students specializing in business and economics. With real-world business and economics applications seamlessly integrated around the core calculus concepts, students will find the book of real practical value throughout their time in university and beyond.

An Example-Based Introduction

Calculus for Business and Economics

This textbook aims to equip readers with a deep understanding of mathematical techniques essential for modeling, analyzing, and solving real-world problems across diverse disciplines. Written for graduate students and professionals, the book emphasizes practical applications of applied mathematics in the context of modern challenges, especially in the age of artificial intelligence and data-driven sciences.The text is structured around core areas including complex analysis, differential equations, variational calculus, optimal control, stochastic processes, statistical inference and learning. These foundational topics are developed through a balance of theoretical principles and practical methods, with examples drawn from physics, engineering, and data science to illustrate each technique's relevance and application. Throughout the book, exercises are proposed to help readers practice and refine these techniques, and the appendices include a collection of past midterm and final exam papers from the University of Arizona's Math 581 course, offering students a valuable resource for further study and self-assessment.

Principles And Methods Of Applied Mathematics

Calculus for the Curious

Professional Calculus, Multivariable

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