Sharpening Mathematical Analysis Skills
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Sharpening Mathematical Analysis Skills
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Author : Alina Sîntămărian
language : en
Publisher: Springer Nature
Release Date : 2021-10-25
Sharpening Mathematical Analysis Skills written by Alina Sîntămărian and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-25 with Mathematics categories.
This book gathers together a novel collection of problems in mathematical analysis that are challenging and worth studying. They cover most of the classical topics of a course in mathematical analysis, and include challenges presented with an increasing level of difficulty. Problems are designed to encourage creativity, and some of them were especially crafted to lead to open problems which might be of interest for students seeking motivation to get a start in research. The sets of problems are comprised in Part I. The exercises are arranged on topics, many of them being preceded by supporting theory. Content starts with limits, series of real numbers and power series, extending to derivatives and their applications, partial derivatives and implicit functions. Difficult problems have been structured in parts, helping the reader to find a solution. Challenges and open problems are scattered throughout the text, being an invitation to discover new original methods for proving known results and establishing new ones. The final two chapters offer ambitious readers splendid problems and two new proofs of a famous quadratic series involving harmonic numbers. In Part II, the reader will find solutions to the proposed exercises. Undergraduate students in mathematics, physics and engineering, seeking to strengthen their skills in analysis, will most benefit from this work, along with instructors involved in math contests, individuals who want to enrich and test their knowledge in analysis, and anyone willing to explore the standard topics of mathematical analysis in ways that aren’t commonly seen in regular textbooks.
Improper Riemann Integrals
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Author : Ioannis Roussos
language : en
Publisher: CRC Press
Release Date : 2023-09-27
Improper Riemann Integrals written by Ioannis Roussos and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-27 with Mathematics categories.
The scope of this book is the improper or generalized Riemann integral and infinite sum (series). The reader will study its convergence, principal value, evaluation and application to science and engineering. Improper Riemann integrals and infinite sums are interconnected. In the new edition, the author has involved infinite sums more than he did in the first edition. Apart from having computed and listed a large number of improper integrals and infinite sums, we have also developed the necessary theory and various ways of evaluating them or proving their divergence. Questions, problems and applications involving various improper integrals and infinite sums (series) of numbers emerge in science and application very often. Their complete presentations and all rigorous proofs would require taking the graduate-level courses on these subjects. Here their statements are adjusted to a level students of all levels can understand and use them efficiently as powerful tools in a large list of problems and applications.
Problem Solving Strategies
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Author : Arthur Engel
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-01-19
Problem Solving Strategies written by Arthur Engel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-19 with Mathematics categories.
A unique collection of competition problems from over twenty major national and international mathematical competitions for high school students. Written for trainers and participants of contests of all levels up to the highest level, this will appeal to high school teachers conducting a mathematics club who need a range of simple to complex problems and to those instructors wishing to pose a "problem of the week", thus bringing a creative atmosphere into the classrooms. Equally, this is a must-have for individuals interested in solving difficult and challenging problems. Each chapter starts with typical examples illustrating the central concepts and is followed by a number of carefully selected problems and their solutions. Most of the solutions are complete, but some merely point to the road leading to the final solution. In addition to being a valuable resource of mathematical problems and solution strategies, this is the most complete training book on the market.
A First Course In Mathematical Modeling
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Author : Frank R. Giordano
language : en
Publisher: Cengage Learning
Release Date : 2008-07-03
A First Course In Mathematical Modeling written by Frank R. Giordano and has been published by Cengage Learning this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-07-03 with Mathematics categories.
Offering a solid introduction to the entire modeling process, A FIRST COURSE IN MATHEMATICAL MODELING, 4th Edition delivers an excellent balance of theory and practice, giving students hands-on experience developing and sharpening their skills in the modeling process. Throughout the book, students practice key facets of modeling, including creative and empirical model construction, model analysis, and model research. The authors apply a proven six-step problem-solving process to enhance students' problem-solving capabilities -- whatever their level. Rather than simply emphasizing the calculation step, the authors first ensure that students learn how to identify problems, construct or select models, and figure out what data needs to be collected. By involving students in the mathematical process as early as possible -- beginning with short projects -- the book facilitates their progressive development and confidence in mathematics and modeling. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
Square Matrices Of Order 2
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Author : Vasile Pop
language : en
Publisher: Springer
Release Date : 2017-04-04
Square Matrices Of Order 2 written by Vasile Pop and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-04 with Mathematics categories.
This unique and innovative book presents an exciting and complete detail of all the important topics related to the theory of square matrices of order 2. The readers exploring every detailed aspect of matrix theory are gently led toward understanding advanced topics. They will follow every notion of matrix theory with ease, accumulating a thorough understanding of algebraic and geometric aspects of matrices of order 2. The prime jewel of this book is its offering of an unusual collection of problems, theoretically motivated, most of which are new, original, and seeing the light of publication for the first time in the literature. Nearly all of the exercises are presented with detailed solutions and vary in difficulty from easy to more advanced. Many problems are particularly challenging. These, and not only these, invite the reader to unleash their creativity and research capabilities and to discover their own methods of attacking a problem. Matrices have a vast practical importance to mathematics, science, and engineering; therefore the readership of this book is intended to be broad: high school students wishing to learn the fundamentals of matrix theory, first year students who like to participate in mathematical competitions, graduate students who want to learn more about an application of a certain technique, doctoral students who are preparing for their prelim exams in linear algebra, and linear algebra instructors. Chapters 1–3 complement a standard linear algebra course. Pure and applied mathematicians who use matrix theory for their applications will find this book useful as a refresher. In fact, anyone who is willing to explore the methodologies discussed in this book and work through a collection of problems involving matrices of order 2 will be enriched.
Discover Your Path The Ultimate Gmat Mastery Guide
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Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date : 2025-04-09
Discover Your Path The Ultimate Gmat Mastery Guide written by Pasquale De Marco and has been published by Pasquale De Marco this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-04-09 with Education categories.
Discover Your Path: The Ultimate GMAT Mastery Guide is the ultimate resource for GMAT aspirants, providing a comprehensive and strategic approach to achieving a high score. This book is designed to empower you with the knowledge, skills, and mindset necessary to excel in all sections of the GMAT, including Verbal Reasoning, Quantitative Reasoning, Integrated Reasoning, and the Analytical Writing Assessment. With its reader-friendly style and engaging tone, Discover Your Path: The Ultimate GMAT Mastery Guide demystifies the GMAT and presents it as a conquerable challenge. Through detailed explanations, insightful examples, and proven strategies, this book guides you step-by-step towards GMAT mastery. Whether you're targeting a specific business school or simply seeking to enhance your professional prospects, this book will equip you with the tools you need to succeed. Inside Discover Your Path: The Ultimate GMAT Mastery Guide, you'll discover: * A comprehensive overview of the GMAT exam format, structure, and scoring system * In-depth analysis of each section, including question types, common pitfalls, and effective approaches * A wealth of practice questions and detailed answer explanations to reinforce your understanding and build your confidence * Proven strategies for time management, stress reduction, and maintaining focus on test day * Expert advice on selecting business schools, writing compelling application essays, and preparing for interviews Discover Your Path: The Ultimate GMAT Mastery Guide goes beyond mere test preparation. It empowers you with the skills and knowledge that extend beyond the exam room, serving you well in your academic and professional endeavors. With its comprehensive coverage, engaging writing style, and wealth of resources, this book is an indispensable companion for anyone seeking to achieve GMAT success. Invest in your future and take the first step towards your MBA aspirations with Discover Your Path: The Ultimate GMAT Mastery Guide. Embrace the challenge, unlock your potential, and achieve your GMAT goals. If you like this book, write a review!
Mathematical Analysis I
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Author : Vladimir A. Zorich
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-01-22
Mathematical Analysis I written by Vladimir A. Zorich and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-01-22 with Mathematics categories.
This work by Zorich on Mathematical Analysis constitutes a thorough first course in real analysis, leading from the most elementary facts about real numbers to such advanced topics as differential forms on manifolds, asymptotic methods, Fourier, Laplace, and Legendre transforms, and elliptic functions.
Outsmarting The Keystone Exams A Comprehensive Guide To Success For Pennsylvania Students
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Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date : 2025-04-10
Outsmarting The Keystone Exams A Comprehensive Guide To Success For Pennsylvania Students written by Pasquale De Marco and has been published by Pasquale De Marco this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-04-10 with Education categories.
Embark on a journey to conquer the Keystone Exams with the most comprehensive and up-to-date guide available. Specifically tailored for Pennsylvania students, this book provides an invaluable resource to excel in this crucial assessment. Through its engaging and informative chapters, students will gain a deep understanding of the exam's structure, content, and various question types. With a focus on mastering essential skills and strategies, this book provides a step-by-step roadmap to success. Expert guidance helps students navigate the complexities of the exam, ensuring they're well-equipped to tackle any challenge that comes their way. Time management techniques are also explored, maximizing the efficient use of every minute during the exam. Beyond mastering the academic content, this book addresses the psychological aspects of test-taking, a crucial factor often overlooked in exam preparation. Proven strategies help students overcome test anxiety and self-doubt, cultivating a positive mindset and a confident approach to the Keystone Exams. To ensure comprehensive coverage, entire chapters are dedicated to Math, Reading Comprehension, Writing, Science, and Social Studies. Each chapter is meticulously crafted to provide a thorough understanding of the subject matter, featuring clear explanations, illustrative examples, and practice exercises to reinforce learning. This book is more than just a study guide; it's a trusted companion on the path to Keystone Exams success. With its comprehensive approach, engaging content, and expert guidance, students will gain the knowledge, skills, and confidence needed to excel in this important assessment. Embrace the opportunity to unlock your full potential and seize the keys to educational triumph. Key Features: - Comprehensive coverage of all Keystone Exams subjects: Math, Reading Comprehension, Writing, Science, and Social Studies. - Expert guidance and strategies for tackling different question types. - Time management techniques to maximize efficiency during the exam. - Proven strategies for overcoming test anxiety and self-doubt. - Engaging and informative content that makes learning enjoyable. With this book as your trusted guide, you'll have the confidence and skills needed to conquer the Keystone Exams and achieve your academic aspirations. If you like this book, write a review!
Limits Series And Fractional Part Integrals
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Author : Ovidiu Furdui
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-05-30
Limits Series And Fractional Part Integrals written by Ovidiu Furdui and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-30 with Mathematics categories.
This book features challenging problems of classical analysis that invite the reader to explore a host of strategies and tools used for solving problems of modern topics in real analysis. This volume offers an unusual collection of problems — many of them original — specializing in three topics of mathematical analysis: limits, series, and fractional part integrals. The work is divided into three parts, each containing a chapter dealing with a particular problem type as well as a very short section of hints to select problems. The first chapter collects problems on limits of special sequences and Riemann integrals; the second chapter focuses on the calculation of fractional part integrals with a special section called ‘Quickies’ which contains problems that have had unexpected succinct solutions. The final chapter offers the reader an assortment of problems with a flavor towards the computational aspects of infinite series and special products, many of which are new to the literature. Each chapter contains a section of difficult problems which are motivated by other problems in the book. These ‘Open Problems’ may be considered research projects for students who are studying advanced calculus, and which are intended to stimulate creativity and the discovery of new and original methods for proving known results and establishing new ones. This stimulating collection of problems is intended for undergraduate students with a strong background in analysis; graduate students in mathematics, physics, and engineering; researchers; and anyone who works on topics at the crossroad between pure and applied mathematics. Moreover, the level of problems is appropriate for students involved in the Putnam competition and other high level mathematical contests.
Slicing Pizzas Racing Turtles And Further Adventures In Applied Mathematics
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Author : Robert B. Banks
language : en
Publisher: Princeton University Press
Release Date : 2012-05-02
Slicing Pizzas Racing Turtles And Further Adventures In Applied Mathematics written by Robert B. Banks and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-02 with Mathematics categories.
“Banks turns trivial questions into mind-expanding demonstrations of the magical powers of mathematics. . . . generously garnished with his unpredictable wit.” —Booklist Have you ever daydreamed about digging a hole to the other side of the world? Robert Banks not only entertains such ideas but supplies the mathematical know-how to turn fantasies into problem-solving adventures. Now the author of Towing Icebergs, Falling Dominoes, and Further Adventures in Applied Mathematics presents another collection of puzzles to sharpen your thinking and mathematical skills. The problems range from the wondrous to the eminently practical: What’s the total number of people who’ve lived on Earth? How do you get the most pizza slices with the least number of cuts? To go from point A to point B in a downpour, should you walk slowly, jog moderately, or run as fast as possible to get least wet? What is the length of the seam on a baseball? If all the ice in the world melted, what would happen to Florida, the Mississippi River, and Niagara Falls? Why do snowflakes have six sides? Covering a broad range of fields from geography and environmental studies to map- and flag-making, Banks uses mostly basic algebra and geometry to solve problems. And if famous scientists have also pondered these questions, he shares the historical details with the reader. “[Banks displays] a playful imagination and love of the fantastic that one would not ordinarily associate with a mathematical engineer. . . . entertaining.” —The Christian Science Monitor