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Young Cynthia Y.: WP Course Precalculus

WP Course Precalculus

Chapman & Hall/CRC Monographs and Research Notes in Mathematics

Abstract Calculus: A Categorical Approach provides an abstract approach to calculus. It is intended for graduate students pursuing PhDs in pure mathematics but junior and senior researchers in basically any field of mathematics and theoretical physics will also be interested. Any calculus text for undergraduate students majoring in engineering, mathematics or physics deals with the classical concepts of limits, continuity, differentiability, optimization, integrability, summability, and approximation. This book covers the exact same topics, but from a categorical perspective, making the classification of topological modules as the main category involved. 

Features

Suitable for PhD candidates and researchers





Requires prerequisites in set theory, general topology, and abstract algebra, but is otherwise self-contained



Dr. Francisco Javier García-Pacheco is a full professor and Director of the Departmental Section of Mathematics at the College of Engineering of the University of Cádiz, Spain.

Any calculus text for undergraduate students majoring in Engineering, Mathematics or Physics deals with the classical concepts of limits, continuity, differentiability, optimization, integrability, summability, and approximation. This book covers the exact same topics but from a categorical perspective.

A Categorical Approach

Abstract Calculus

Ideal for courses that require the use of a graphing calculator, PRECALCULUS: REAL MATHEMATICS, REAL PEOPLE, 7th Edition, features quality exercises, interesting applications, and innovative resources to help you succeed. True to the book's focus on student support, selected examples include notations directing you to previous sections where you can review concepts and skills needed to master the material at hand. The book's careful writing and detailed solutions that begin and end on the same page, make it accessible and easy-to-read. Side-by-side solutions show algebraic, graphical, and numerical representations of the mathematics and support a variety of learning styles, and examples throughout feature real-life scenarios show you the relevance of mathematics in your life and future career.

Ideal for courses that require the use of a graphing calculator, PRECALCULUS: REAL MATHEMATICS, REAL PEOPLE, 7th Edition, features quality exercises, interesting applications, and innovative resources to help you succeed. True to the book's focus on student support, selected examples include notations directing you to previous sections where you can review concepts and skills needed to master the material at hand. The book's careful writing and detailed solutions that begin and end on the same page, make it accessible and easy-to-read. Side-by-side solutions show algebraic, graphical, and numerical representations of the mathematics and support a variety of learning styles, and examples throughout feature real-life scenarios show you the relevance of mathematics in your life and future career.

Real Mathematics, Real People

Precalculus

Prepare for success in precalculus as Larson's PRECALCULUS WITH LIMITS, 5th Edition provides specially developed ongoing review in addition to clear explanations, real examples, exercises that relate to everyday life and innovative online support. Written by an award-wining author recognized for his reader-friendly approach, this edition provides a brief review of core algebra topics and coverage of analytic geometry in three dimensions in addition to an introduction to concepts covered in calculus. "How Do You See It?" exercises let you practice applying concepts, while new Summarize features and Checkpoint questions reinforce your understanding of skills you need to better prepare for tests. In addition, "Review &amp; Refresh" exercises and Skills Review videos help you strengthen previously learned math skills. You can even access no-cost homework support on the websites CalcChat.com, CalcView.com and LarsonPrecalculus.com and refine your abilities with WebAssign activities and practice.

Prepare for success in precalculus as Larson's PRECALCULUS WITH LIMITS, 5th Edition provides specially developed ongoing review in addition to clear explanations, real examples, exercises that relate to everyday life and innovative online support. Written by an award-wining author recognized for his reader-friendly approach, this edition provides a brief review of core algebra topics and coverage of analytic geometry in three dimensions in addition to an introduction to concepts covered in calculus. "How Do You See It?" exercises let you practice applying concepts, while new Summarize features and Checkpoint questions reinforce your understanding of skills you need to better prepare for tests. In addition, "Review &amp; Refresh" exercises and Skills Review videos help you strengthen previously learned math skills. You can even access no-cost homework support on the websites CalcChat.com, CalcView.com and LarsonPrecalculus.com and refine your abilities with WebAssign activities and practice.

Precalculus with Limits

Get the knowledge and skills you need to solve pre-calculus problems with confidence!


The quickest route to learning a subject is through a solid grounding in the basics. Rather than endless drills, this accessible guide presents an original, step-by-step approach to help you develop a better understanding of pre-calculus topics. You'll find important concepts linked together by clear explanations, invaluable exercises, and helpful worked-out problems. Once you've mastered the topics in this book, you will find yourself well-equipped to begin your calculus studies. 


This book features:
. A new Trigonometry chapter that will round out your pre-calculus studies
. Clear explanations that break down concepts into easy-to-understand steps
. Stay-in-step "pop-ups" offering helpful advice and cautions against common errors
. Step-it-up skill-building exercises linking practice to the core steps already presented
. Worked-out solutions to all exercises that reinforce understanding of concepts

Easy Pre-Calculus Step-By-Step, Second Edition

The main purpose of this captivating book is to help instructors in popularizing mathematics and other subjects by considering them in a unique multidisciplinary way. This integrative technique contributes to innovative teaching strategies to improving students' critical and problem-solving skills and broadening their scientific vision and interdisciplinary knowledge.

The authors motivate the simultaneous learning of mathematics and social studies by telling the story of the United States of America in an original, mathematically oriented way. The readers will discover practical reasoning behind mathematical concepts.

This fascinating book exposes students to a novel educational strategy that aims to overcome fear of mathematics, reduce mathematical anxiety, and show the applicability of mathematics to everyday life and events. It is unique among mathematical books in its devotion to present facts and stories from the country's heritage.

The collection of 325 informative problems is designed to fit any abilities, background, and taste. Their solution requires only basic knowledge of algebra.

This unique book helps instructors in popularizing mathematics by uniting them in a unique multidisciplinary way. This cross-disciplinary approach contributes to innovative teaching strategies that not only improve students’ critical and problem-solving skills, but also broaden their scientific vision and multidisciplinary knowledge.

USA Through the Lens of Mathematics

Princeton Legacy Library

One of the most prominent mathematicians of the twentieth century, Abraham Robinson discovered and developed nonstandard analysis, a rigorous theory of infinitesimals that he used to unite mathematical logic with the larger body of historic and modern mathematics. In this first biography of Robinson, Joseph Dauben reveals the mathematician's personal life to have been a dramatic one: developing his talents in spite of war and ethnic repression, Robinson personally confronted some of the worst political troubles of our times. With the skill and expertise familiar to readers of Dauben's earlier works, the book combines an explanation of Robinson's revolutionary achievements in pure and applied mathematics with a description of his odyssey from Hitler's Germany to the United States via conflict-ridden Palestine and wartime Europe.

Robinson was born in Prussia in 1918. As a boy, he fled with his mother and brother Saul to Palestine. A decade later he narrowly escaped from Paris as the Germans invaded France. Having spent the rest of World War II in England, at the Royal Aircraft Establishment in Farnborough, he began his teaching career at the Royal College of Aeronautics. Subsequently he moved to universities in Canada, Israel, and finally the United States. A joint appointment in mathematics and philosophy at UCLA led to a position at Yale University, where Robinson served as Sterling Professor of Mathematics until his untimely death at the age of fifty-five.

Originally published in 1995.

The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

One of the most prominent mathematicians of the twentieth century, Abraham Robinson discovered and developed nonstandard analysis, a rigorous theory of infinitesimals that he used to unite mathematical logic with the larger body of historic and modern mathematics. In this first biography of Robinson, Joseph Dauben reveals the mathematician's personal life to have been a dramatic one: developing his talents in spite of war and ethnic repression, Robinson personally confronted some of the worst political troubles of our times. With the skill and expertise familiar to readers of Dauben's earlier works, the book combines an explanation of Robinson's revolutionary achievements in pure and applied mathematics with a description of his odyssey from Hitler's Germany to the United States via conflict-ridden Palestine and wartime Europe. Robinson was born in Prussia in 1918. As a boy, he fled with his mother and brother Saul to Palestine. A decade later he narrowly escaped from Paris as the Germans invaded France. Having spent the rest of World War II in England, at the Royal Aircraft Establishment in Farnborough, he began his teaching career at the Royal College of Aeronautics. Subsequently he moved to universities in Canada, Israel, and finally the United States. A joint appointment in mathematics and philosophy at UCLA led to a position at Yale University, where Robinson served as Sterling Professor of Mathematics until his untimely death at the age of fifty-five. Originally published in 1995. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

The Creation of Nonstandard Analysis, A Personal and Mathematical Odyssey

Abraham Robinson

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

Expanding Mathematical Toolbox: Interweaving Topics, Problems, and Solutions offers several topics from different mathematical disciplines and shows how closely they are related. The purpose of this book is to direct the attention of readers who have an interest in and talent for mathematics to engaging and thought-provoking problems that should help them change their ways of thinking, entice further exploration and possibly lead to independent research and projects in mathematics. In spite of the many challenging problems, most solutions require no more than a basic knowledge covered in a high-school math curriculum.

To shed new light on a deeper appreciation for mathematical relationships, the problems are selected to demonstrate techniques involving a variety of mathematical ideas. Included are some interesting applications of trigonometry, vector algebra and Cartesian coordinate system techniques, and geometrical constructions and inversion in solving mechanical engineering problems and in studying models explaining non-Euclidean geometries.

This book is primarily directed at secondary school teachers and college professors. It will be useful in teaching mathematical reasoning because it emphasizes how to teach students to think creatively and strategically and how to make connections between math disciplines. The text also can be used as a resource for preparing for mathematics Olympiads. In addition, it is aimed at all readers who want to study mathematics, gain deeper understanding and enhance their problem-solving abilities. Readers will find fresh ideas and topics offering unexpected insights, new skills to expand their horizons and an appreciation for the beauty of mathematics.

The purpose of the book is to direct the attention of readers who have an interest in and talent for mathematics to engaging and thought-provoking problems that should help them change their ways of thinking, entice further exploration, and could lead to independent research and projects in mathematics.

Expanding Mathematical Toolbox: Interweaving Topics, Problems, and Solutions

Sharpen your skills and prepare for your precalculus exam with a wealth of essential facts in a quick-and-easy Q&amp;A format!Get the question-and-answer practice you need with McGraw-Hill's 500 College Precalculus Questions. Organized for easy reference and intensive practice, the questions cover all essential precalculus topics and include detailed answer explanations. The 500 practice questions are similar to course exam questions so you will know what to expect on test day. Each question includes a fully detailed answer that puts the subject in context. This additional practice helps you build your knowledge, strengthen test-taking skills, and build confidence. From ethical theory to epistemology, this book covers the key topics in precalculus.Prepare for exam day with:<ul><li>500 essential precalculus questions and answers organized by subject</li><li>Detailed answers that provide important context for studying</li><li>Content that follows the current college 101 course curriculum</li></ul>

A wealth of essential facts in the Q-and-A format that students want!

McGraw-Hill's 500 College Precalculus Questions: Ace Your College Exams

The text is divided into three main parts: unconstrained optimization, constrained optimization, and linear programming. The first part addresses unconstrained optimization in single-variable and multivariable functions, introducing key algorithms such as steepest descent, Newton, and quasi-Newton methods.The second part focuses on constrained optimization, starting with linear equality constraints and extending to more general cases, including inequality constraints. It details optimality conditions, sensitivity analysis, and relevant algorithms for solving these problems.The third part covers linear programming, presenting the formulation of LP problems, the simplex algorithm, and sensitivity analysis. Throughout, the text provides numerous applications to data science, such as linear regression, maximum likelihood estimation, expectation-maximization algorithms, support vector machines, and linear neural networks.

Continuous Optimization For Data Science

Advanced Math Concepts

"Glencoe Precalculus (c)2011, 2nd Edition" is a comprehensive program that provides more depth, more applications, and more opportunities for students to be successful in college or AP Calculus programs. Features of this program include: Chapter 0, Graphing Technology Labs, leveled exercise sets, H.O.T. (Higher-Order Thinking) Problems, and Preparation for AP Calculus lessons within every chapter. Also available for "Glencoe Precalculus" is a complete technology suite that contains an online student edition, online teacher edition, Interactive Classroom, and "ExamView(R) Assessment Suite."

Glencoe Precalculus Student Edition

This unique book&nbsp;helps instructors in popularizing mathematics by uniting them in a unique multidisciplinary way. This cross-disciplinary approach contributes to innovative teaching strategies that not only improve students' critical and problem-solving skills, but also broaden their scientific vision and multidisciplinary knowledge.

WP Course Precalculus

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