Amazing And Aesthetic Aspects Of Analysis
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Amazing And Aesthetic Aspects Of Analysis
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Author : Paul Loya
language : en
Publisher: Springer
Release Date : 2018-05-11
Amazing And Aesthetic Aspects Of Analysis written by Paul Loya and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-11 with Mathematics categories.
Lively prose and imaginative exercises draw the reader into this unique introductory real analysis textbook. Motivating the fundamental ideas and theorems that underpin real analysis with historical remarks and well-chosen quotes, the author shares his enthusiasm for the subject throughout. A student reading this book is invited not only to acquire proficiency in the fundamentals of analysis, but to develop an appreciation for abstraction and the language of its expression. In studying this book, students will encounter: the interconnections between set theory and mathematical statements and proofs; the fundamental axioms of the natural, integer, and real numbers; rigorous ε-N and ε-δ definitions; convergence and properties of an infinite series, product, or continued fraction; series, product, and continued fraction formulæ for the various elementary functions and constants. Instructors will appreciate this engaging perspective, showcasing the beauty of these fundamental results.
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.
An Introduction To Infinite Products
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Author : Charles H. C. Little
language : en
Publisher: Springer Nature
Release Date : 2022-01-10
An Introduction To Infinite Products written by Charles H. C. Little and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-10 with Mathematics categories.
This text provides a detailed presentation of the main results for infinite products, as well as several applications. The target readership is a student familiar with the basics of real analysis of a single variable and a first course in complex analysis up to and including the calculus of residues. The book provides a detailed treatment of the main theoretical results and applications with a goal of providing the reader with a short introduction and motivation for present and future study. While the coverage does not include an exhaustive compilation of results, the reader will be armed with an understanding of infinite products within the course of more advanced studies, and, inspired by the sheer beauty of the mathematics. The book will serve as a reference for students of mathematics, physics and engineering, at the level of senior undergraduate or beginning graduate level, who want to know more about infinite products. It will also be of interest to instructors who teach courses that involve infinite products as well as mathematicians who wish to dive deeper into the subject. One could certainly design a special-topics class based on this book for undergraduates. The exercises give the reader a good opportunity to test their understanding of each section.
Complex Arithmetic Patterns Behind Numbers
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Author : Nick Trif
language : en
Publisher: Nick Trif
Release Date : 2010
Complex Arithmetic Patterns Behind Numbers written by Nick Trif and has been published by Nick Trif this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with categories.
A Compact Capstone Course In Classical Calculus
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Author : Peter R. Mercer
language : en
Publisher: Springer Nature
Release Date : 2023-11-20
A Compact Capstone Course In Classical Calculus written by Peter R. Mercer and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11-20 with Mathematics categories.
This textbook offers undergraduates a self-contained introduction to advanced topics not covered in a standard calculus sequence. The author’s enthusiastic and engaging style makes this material, which typically requires a substantial amount of study, accessible to students with minimal prerequisites. Readers will gain a broad knowledge of the area, with approaches based on those found in recent literature, as well as historical remarks that deepen the exposition. Specific topics covered include the binomial theorem, the harmonic series, Euler's constant, geometric probability, and much more. Over the fifteen chapters, readers will discover the elegance of calculus and the pivotal role it plays within mathematics. A Compact Capstone Course in Classical Calculus is ideal for exploring interesting topics in mathematics beyond the standard calculus sequence, particularly for undergraduates who may not be taking more advanced math courses. It would also serve as a useful supplement for a calculus course and a valuable resource for self-study. Readers are expected to have completed two one-semester college calculus courses.
Coalgebraic Methods In Computer Science
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Author : Helle Hvid Hansen
language : en
Publisher: Springer Nature
Release Date : 2022-07-22
Coalgebraic Methods In Computer Science written by Helle Hvid Hansen and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-07-22 with Mathematics categories.
This book constitutes the thoroughly refereed post-conference proceedings of the 16th International Workshop on Coalgebraic Methods in Computer Science, CMCS 2022, colocated with ETAPS 2022, held in Munich, Germany, in April 2022. The 9 revised full papers were carefully reviewed and selected from 12 submissions. The papers cover a wide range of topics in the theory, logics, and applications of coalgebras.
Excursions In Harmonic Analysis Volume 2
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Author : Travis D Andrews
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-01-04
Excursions In Harmonic Analysis Volume 2 written by Travis D Andrews 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 2013-01-04 with Mathematics categories.
The Norbert Wiener Center for Harmonic Analysis and Applications provides a state-of-the-art research venue for the broad emerging area of mathematical engineering in the context of harmonic analysis. This two-volume set consists of contributions from speakers at the February Fourier Talks (FFT) from 2006-2011. The FFT are organized by the Norbert Wiener Center in the Department of Mathematics at the University of Maryland, College Park. These volumes span a large spectrum of harmonic analysis and its applications. They are divided into the following parts: Volume I · Sampling Theory · Remote Sensing · Mathematics of Data Processing · Applications of Data Processing Volume II · Measure Theory · Filtering · Operator Theory · Biomathematics Each part provides state-of-the-art results, with contributions from an impressive array of mathematicians, engineers, and scientists in academia, industry, and government. Excursions in Harmonic Analysis: The February Fourier Talks at the Norbert Wiener Center is an excellent reference for graduate students, researchers, and professionals in pure and applied mathematics, engineering, and physics.
Byzantine Coins Influenced By The Shroud Of Christ
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Author : Giulio Fanti
language : en
Publisher: CRC Press
Release Date : 2021-11-17
Byzantine Coins Influenced By The Shroud Of Christ written by Giulio Fanti and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-17 with Religion categories.
Numerous studies have been carried out on Byzantine coins, but there are still no univocal interpretations on the details of the figures represented there and in particular on those relating to Jesus Christ. The information derived from the studies on the Holy Shroud, the most important Relic of Christ in Christianity, has clearly resulted in some new interpretations. This is the first book in the world that deals extensively with the effigy of Christ, despite being the most sought after and collected by numismatists. Furthermore, the book relates the different images of the Redeemer on Byzantine coins with the image of Jesus Christ on the Shroud, the most important Relic of Christianity. The numerous collectors will therefore be interested in having not only a numismatic analysis of these coins but also a historical-religious study. This book, which should be understandable to everyone, demonstrates the strong influence that the Shroud had in the Byzantine era.
Lezioni Di Analisi Matematica
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Author : Daniele Ritelli
language : it
Publisher: Società Editrice Esculapio
Release Date : 2022-01-01
Lezioni Di Analisi Matematica written by Daniele Ritelli and has been published by Società Editrice Esculapio this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-01 with Mathematics categories.
Il manuale è rivolto a studenti di primo anno delle lauree triennali a indirizzo scientifico e introduce all’Analisi Matematica per funzioni reali di una variabile reale. Questa edizione è arricchita da oltre 70 contributi video dedicati, a cura del canale YouTube Preparazione 2.0, in cui sono presentate soluzioni di esercizi, simulazioni d’esame ed approfondimenti.
Lessons On The Analytic Of The Sublime
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Author : Jean-François Lyotard
language : en
Publisher: Stanford University Press
Release Date : 1994
Lessons On The Analytic Of The Sublime written by Jean-François Lyotard and has been published by Stanford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Philosophy categories.
This volume presents a close reading of Kant's "Critique of Judgment" looking specifically at the complex paragraphs 23-29: "The Analytic of the Sublime."