Amazing and Aesthetic Aspects of Analysis PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Amazing and Aesthetic Aspects of Analysis PDF full book. Access full book title Amazing and Aesthetic Aspects of Analysis by Paul Loya. Download full books in PDF and EPUB format.
Author: Paul Loya
Publisher: Springer
ISBN: 1493967959
Category : Mathematics
Languages : en
Pages : 730
Get Book Here
Book Description
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.
Author: Paul Loya
Publisher: Springer
ISBN: 1493967959
Category : Mathematics
Languages : en
Pages : 730
Get Book Here
Book Description
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.
Author: Alina Sîntămărian
Publisher: Springer Nature
ISBN: 3030771393
Category : Mathematics
Languages : en
Pages : 543
Get Book Here
Book Description
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.
Author: Nick Trif
Publisher: Nick Trif
ISBN: 0986604615
Category :
Languages : en
Pages : 474
Get Book Here
Book Description
Author: Peter R. Mercer
Publisher: Springer Nature
ISBN: 3031439147
Category : Mathematics
Languages : en
Pages : 162
Get Book Here
Book Description
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.
Author: Helle Hvid Hansen
Publisher: Springer Nature
ISBN: 3031107365
Category : Mathematics
Languages : en
Pages : 210
Get Book Here
Book Description
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.
Author: Jean-François Lyotard
Publisher: Stanford University Press
ISBN: 9780804722421
Category : Philosophy
Languages : en
Pages : 268
Get Book Here
Book Description
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."
Author: Travis D Andrews
Publisher: Springer Science & Business Media
ISBN: 0817683798
Category : Mathematics
Languages : en
Pages : 461
Get Book Here
Book Description
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.
Author: Luana
Publisher: Lulu.com
ISBN: 1483454797
Category : Art
Languages : en
Pages : 120
Get Book Here
Book Description
We all can name some of the Africanist aesthetic-structures that fuel African American and American art ... Syncopation, Improvisation, Call and Response, Cool, Polyrhythm, or Innovation as an ambition- But there are many, many more. What Makes That Black? The African-American Aesthetic identifies and defines seventy-four elements of the aesthetic through text and illustration. Using the magnificent camerawork of R.J. Muna, Sharen Bradford, Jae Man Joo, Rachel Neville, James Barry Knox, and more- as they point their cameras at Alonzo King LINES Ballet, Complexions Contemporary Ballet, and jazz artists such as Cécile McLorin Salvant and Wynton Marsalis- a specific artistic consciousness or sensibility visually unfolds. Luana even joins the camera crew as she shoots Oakland Street Graffiti.
Author: Martin Paul Eve
Publisher: punctum books
ISBN: 1685710360
Category : Computers
Languages : en
Pages : 445
Get Book Here
Book Description
When most people think of piracy, they think of Bittorrent and The Pirate Bay. These public manifestations of piracy, though, conceal an elite worldwide, underground, organized network of pirate groups who specialize in obtaining media – music, videos, games, and software – before their official sale date and then racing against one another to release the material for free. Warez: The Infrastructure and Aesthetics of Piracy is the first scholarly research book about this underground subculture, which began life in the pre-internet era Bulletin Board Systems and moved to internet File Transfer Protocol servers (“topsites") in the mid- to late-1990s. The “Scene," as it is known, is highly illegal in almost every aspect of its operations. The term “Warez" itself refers to pirated media, a derivative of “software." Taking a deep dive in the documentary evidence produced by the Scene itself, Warez describes the operations and infrastructures an underground culture with its own norms and rules of participation, its own forms of sociality, and its own artistic forms. Even though forms of digital piracy are often framed within ideological terms of equal access to knowledge and culture, Eve uncovers in the Warez Scene a culture of competitive ranking and one-upmanship that is at odds with the often communalist interpretations of piracy. Broad in scope and novel in its approach, Warez is indispensible reading for anyone interested in recent developments in digital culture, access to knowledge and culture, and the infrastructures that support our digital age.
Author: Niccolo Guicciardini
Publisher: MIT Press
ISBN: 0262291657
Category : Mathematics
Languages : en
Pages : 449
Get Book Here
Book Description
An analysis of Newton's mathematical work, from early discoveries to mature reflections, and a discussion of Newton's views on the role and nature of mathematics. Historians of mathematics have devoted considerable attention to Isaac Newton's work on algebra, series, fluxions, quadratures, and geometry. In Isaac Newton on Mathematical Certainty and Method, Niccolò Guicciardini examines a critical aspect of Newton's work that has not been tightly connected to Newton's actual practice: his philosophy of mathematics. Newton aimed to inject certainty into natural philosophy by deploying mathematical reasoning (titling his main work The Mathematical Principles of Natural Philosophy most probably to highlight a stark contrast to Descartes's Principles of Philosophy). To that end he paid concerted attention to method, particularly in relation to the issue of certainty, participating in contemporary debates on the subject and elaborating his own answers. Guicciardini shows how Newton carefully positioned himself against two giants in the “common” and “new” analysis, Descartes and Leibniz. Although his work was in many ways disconnected from the traditions of Greek geometry, Newton portrayed himself as antiquity's legitimate heir, thereby distancing himself from the moderns. Guicciardini reconstructs Newton's own method by extracting it from his concrete practice and not solely by examining his broader statements about such matters. He examines the full range of Newton's works, from his early treatises on series and fluxions to the late writings, which were produced in direct opposition to Leibniz. The complex interactions between Newton's understanding of method and his mathematical work then reveal themselves through Guicciardini's careful analysis of selected examples. Isaac Newton on Mathematical Certainty and Method uncovers what mathematics was for Newton, and what being a mathematician meant to him.
