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Lutzer Carl V.: Professional Calculus,
Multivariable

Professional Calculus, Multivariable

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

Textbooks in Mathematics

An Invitation to Real Analysis

Applied Mathematical Sciences

II: 3-Dimensional Bodies

Nonlinear Problems of Elasticity

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

Edexcel Level 2 Extended Maths Certificate Study and Practice

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

Modern Computational Methods for Fractional Differential Equations provides a comprehensive introduction to the fundamentals of fractional calculus, covering a range of analytical and numerical methods designed for fractional calculus problems to explain the step-by-step implementation and computational aspects of these methods.

Modern Computational Methods for Fractional Differential Equations provides a comprehensive introduction to the fundamentals of fractional calculus, covering a range of analytical and numerical methods designed for fractional calculus problems to explain the step-by-step implementation and computational aspects of these methods.

Modern Computational Methods for Fractional Differential Equations

Series In Computational Methods

This comprehensive volume explores differentiation and integration, detailing their theories, concepts, and formulations. The book introduces various techniques for computing these mathematical elements for different types of functions and presents their applications.Python code is extensively used throughout the book, allowing readers to practice and interact with the concepts in real-time. This hands-on approach helps in comprehending the theory, techniques, and results of computational operations in differentiation and integration. Real-world engineering problems are connected to the theoretical discussions through numerous examples.Written in Jupyter notebook format, the useful reference text offers a unified environment for theory description, code execution, and real-time interaction, making it ideal for reading, practicing, and further exploration.

Calculus: Formulations And Solutions With Python

Unlock the mysteries of Calculus with a fresh approach rooted in simplicity and historical insight. This book reintroduces a nearly forgotten idea from René Descartes (1596-1650), showing how the fundamental concepts of Calculus can be understood using just basic algebra. Starting with rational functions -- the core of early Calculus -- this method allows the reader to grasp the rules for derivatives without the intimidating concepts of limits or real numbers, making the subject more accessible than ever.But the journey doesn't stop there. While attempting to apply this algebraic approach to exponential functions, the reader will encounter the limitations of simple methods, revealing the necessity for more advanced mathematical tools. This natural progression leads to the discovery of continuity, the approximation process, and ultimately, the introduction of real numbers and limits. These deeper concepts pave the way for understanding differentiable functions, seamlessly bridging the gap between elementary algebra and the profound ideas that underpin Calculus.Whether you're a student, educator, or math enthusiast, this book offers a unique pathway to mastering Calculus. By connecting historical context with modern mathematical practice, it provides a richer, more motivating learning experience. For those looking to dive even deeper, the author's 2015 book, What is Calculus? From Simple Algebra to Deep Analysis, is the perfect next step.

Calculus: A New Approach For Schools That Starts With Simple Algebra

Limits and Derivatives of Real Functions for Physicists

Can one prove that 1 + 1 = 2? Which US president proved Pythagoras' theorem? How long is the coastline of Britain? These and many other questions are answered in this book on famous equations and their historical development. The equations come from a range of mathematical disciplines, and cover 4,000 years from early counting to fractal geometry.

Can one prove that 1 + 1 = 2? Which US president proved Pythagoras' theorem? How long is the coastline of Britain? These and many other questions are answered in this book on famous equations and their historical development. The equations come from a range of mathematical disciplines, and cover 4,000 years from early counting to fractal geometry.

Equations and Their Origins

Sum Stories

This book was written for advanced undergraduate math or science majors. Its initial purpose was to illustrate the elementary mathematical theory of ordinary differential equations and their diverse and powerful applications. Historically these have been decisive in many physical problems, some of which have philosophically challenged and indeed altered our civilization's concepts. Because of the importance of the subject, the book is also suitable for a one-semester course for graduate students. The book consists of 12 chapters and six appendices.

Course In Ordinary Differential Equations With Applications, A

Professional Calculus, Multivariable

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