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Pillars Of Transcendental Number Theory
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Book Synopsis Pillars of Transcendental Number Theory by : Saradha Natarajan
Download or read book Pillars of Transcendental Number Theory written by Saradha Natarajan and published by Springer Nature. This book was released on 2020-05-02 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the development of Diophantine problems starting with Thue's path breaking result and culminating in Roth's theorem with applications. It discusses classical results including Hermite–Lindemann–Weierstrass theorem, Gelfond–Schneider theorem, Schmidt’s subspace theorem and more. It also includes two theorems of Ramachandra which are not widely known and other interesting results derived on the values of Weierstrass elliptic function. Given the constantly growing number of applications of linear forms in logarithms, it is becoming increasingly important for any student wanting to work in this area to know the proofs of Baker’s original results. This book presents Baker’s original results in a format suitable for graduate students, with a focus on presenting the content in an accessible and simple manner. Each student-friendly chapter concludes with selected problems in the form of “Exercises” and interesting information presented as “Notes,” intended to spark readers’ curiosity.
Book Synopsis Abstract Algebra and Famous Impossibilities by : Sidney A. Morris
Download or read book Abstract Algebra and Famous Impossibilities written by Sidney A. Morris and published by Springer Nature. This book was released on 2022-11-26 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook develops the abstract algebra necessary to prove the impossibility of four famous mathematical feats: squaring the circle, trisecting the angle, doubling the cube, and solving quintic equations. All the relevant concepts about fields are introduced concretely, with the geometrical questions providing motivation for the algebraic concepts. By focusing on problems that are as easy to approach as they were fiendishly difficult to resolve, the authors provide a uniquely accessible introduction to the power of abstraction. Beginning with a brief account of the history of these fabled problems, the book goes on to present the theory of fields, polynomials, field extensions, and irreducible polynomials. Straightedge and compass constructions establish the standards for constructability, and offer a glimpse into why squaring, doubling, and trisecting appeared so tractable to professional and amateur mathematicians alike. However, the connection between geometry and algebra allows the reader to bypass two millennia of failed geometric attempts, arriving at the elegant algebraic conclusion that such constructions are impossible. From here, focus turns to a challenging problem within algebra itself: finding a general formula for solving a quintic polynomial. The proof of the impossibility of this task is presented using Abel’s original approach. Abstract Algebra and Famous Impossibilities illustrates the enormous power of algebraic abstraction by exploring several notable historical triumphs. This new edition adds the fourth impossibility: solving general quintic equations. Students and instructors alike will appreciate the illuminating examples, conversational commentary, and engaging exercises that accompany each section. A first course in linear algebra is assumed, along with a basic familiarity with integral calculus.
Book Synopsis General/Financial Awareness (Vol 2) Topicwise Notes for All Banking Related Exams | A Complete Preparation Book for All Your Banking Exams with Solved MCQs | IBPS Clerk, IBPS PO, SBI PO, SBI Clerk, RBI and Other Banking Exams by : EduGorilla Prep Experts
Download or read book General/Financial Awareness (Vol 2) Topicwise Notes for All Banking Related Exams | A Complete Preparation Book for All Your Banking Exams with Solved MCQs | IBPS Clerk, IBPS PO, SBI PO, SBI Clerk, RBI and Other Banking Exams written by EduGorilla Prep Experts and published by EduGorilla Community Pvt. Ltd.. This book was released on with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: EduGorilla's General/Financial Awareness (Vol 2) Study Notes are the best-selling notes for General/Financial Awareness in the English edition. Their content for banking exams is well-researched and covers all topics related to General/Financial Awareness. The notes are designed to help students prepare thoroughly for their exams, with topic-wise notes that are comprehensive and easy to understand. The notes also include solved multiple-choice questions (MCQs) for self-evaluation, allowing students to gauge their progress and identify areas that require further improvement. These study notes are tailored to the latest syllabus of all banking-related exams, making them a valuable resource for exam preparation.
Download or read book The Certainty written by Mayukh Maitra and published by Educreation Publishing. This book was released on 2016-11-16 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book deals with the Information theory and explores the logical methods in determination of a measure in the field probability associated with the information processing for real time systems and models, such as to distinguish the certainty that is a power function, and identify the uncertainty which as an unknown variable is a complement of the function, in order to achieve accuracy of the intended results to precisely meet with the predictions.
Book Synopsis Transcendental Number Theory by : Alan Baker
Download or read book Transcendental Number Theory written by Alan Baker and published by Cambridge University Press. This book was released on 2022-06-09 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: Alan Baker's systematic account of transcendental number theory, with a new introduction and afterword explaining recent developments.
Download or read book Dirichlet written by Uta C. Merzbach and published by Springer. This book was released on 2018-12-29 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first extensive biography of the influential German mathematician, Peter Gustav Lejeune Dirichlet (1805 – 1859). Dirichlet made major contributions to number theory in addition to clarifying concepts such as the representation of functions as series, the theory of convergence, and potential theory. His mathematical methodology was explicitly based on a thorough knowledge of the work of his predecessors and his belief in the underlying unity of the branches of mathematics. This unified approach is exemplified in a paper that effectively launched the field of analytic number theory. The same orientation pervaded his teaching, which had a profound influence on the work of many mathematicians of subsequent generations. Chapters dealing with his mathematical work alternate with biographical chapters that place Dirichlet’s life and those of some of his notable associates in the context of the political, social, and artistic culture of the period. This book will appeal not only to mathematicians but also to historians of mathematics and sciences, and readers interested in the cultural and intellectual history of the nineteenth century.
Download or read book POOLS OF WATER/PILLARS OF (cl) written by and published by University of Washington Press. This book was released on with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: To the Western world, Ibuse Masuji is known primarily as the author of Black Rain, a document of the atomic holocaust and perhaps modern Japanese literature's most important contribution to the world of letters. In Japan, where is career has spanned six decades of revolutionary historical and social change, his popular novels, stories, essays and poems have won that nations' highest literary awards. John Whittier Treat's illuminating study of Ibuse is "an inquiry into the life and writings of a man brave enough to attempt a story that, in the view of more than one Hiroshima survivor, was "beyond words." Treat's analysis is the first comprehensive critical work on Ibuse outside of Japan. He provides a key to Ibuse's extraordinary writings, making his Japanese subject accessible to a Western audience. Moving beyond conventional distinctions between Ibuse's earlier and later works, Treat synthesizes a framework in which to read and understand Ibuse as a whole. He begins with a question: why and how did this author come to write Japan's most acclaimed novel of the Hiroshima bombing? His answer is organized chronologically and thematically, incorporating elements of both biography and literary criticism. He translates extensively from Ibuse's works and from interviews with the author. Pervasive themes, motifs, and images are developed and interrelated throughout the short stories, essays and early novels of the 1920s and 1930s, wartime journals, and the historical fiction based on the accounts of castaways in Edo period Japan. Ibuse's quintessential humor and irony culminate in the powerful realism of Black Rain and his postwar writing. Ibuse's voice emerges clearly. His message is human; his subject is man as a survivor. Treat's book reveals an author whose complex themes "explore what binds man to his world--not, as is so often the case with modern fiction, what separates him." To this end, says Treat, Ibuse's work is about the work of literature, about coming to terms "with the power of words to prescribe as well as describe how we see ourselves complete in a fractured world."
Book Synopsis The Theory of Algebraic Number Fields by : David Hilbert
Download or read book The Theory of Algebraic Number Fields written by David Hilbert and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: A translation of Hilberts "Theorie der algebraischen Zahlkörper" best known as the "Zahlbericht", first published in 1897, in which he provides an elegantly integrated overview of the development of algebraic number theory up to the end of the nineteenth century. The Zahlbericht also provided a firm foundation for further research in the theory, and can be seen as the starting point for all twentieth century investigations into the subject, as well as reciprocity laws and class field theory. This English edition further contains an introduction by F. Lemmermeyer and N. Schappacher.
Book Synopsis Ways of Being Bound: Perspectives from post-Kantian Philosophy and Relational Sociology by : Patricio A. Fernández
Download or read book Ways of Being Bound: Perspectives from post-Kantian Philosophy and Relational Sociology written by Patricio A. Fernández and published by Springer Nature. This book was released on 2022-11-01 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses the topic of 'being bound' from a philosophical and a sociological perspective. It examines several ways in which we are bound. We are bound to acknowledge the truth and to follow laws; we are bound to others and to the world. Who we are is partly defined by those bonds, regardless of whether we live up to them – or even of whether we acknowledge them. Puzzling questions arise from the fact that we are bound, such as: How are those bonds binding? Wherein lies their normative character? A venerable philosophical tradition, particularly since Kant, has provided an account of normativity that crucially appeals to such notions as “self-legislation.” But can our normative bonds be properly understood in these essentially first-personal terms? Many argue that our social condition resists any account of those bonds that fails to acknowledge the perspectives of the second and the third person. The first part of the book explores these themes from a historical perspective in the tradition of transcendental philosophy (Kant, Fichte, Hegel, Husserl and Heidegger); it examines the phenomenon of “being bound”, i.e., why and how we are bound. The second part of the book offers a sociological analysis of social bonds that is both historical and systematic. Based on sociological approaches to “solidarity” and “reflexivity”, it explores the way in which the phenomenon of “being bound” manifests through the concept of a “social relation”.
Book Synopsis Pillars in the History of Biblical Interpretation, Volume 1 by : Stanley E. Porter
Download or read book Pillars in the History of Biblical Interpretation, Volume 1 written by Stanley E. Porter and published by Wipf and Stock Publishers. This book was released on 2016-08-17 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-volume set is part of a growing body of literature concerned with the history of biblical interpretation. The ample introduction first sets key players into the story of the development of the major strands of biblical interpretation since the Enlightenment, identifying how different theoretical and methodological approaches are related to each other and describing the academic environment in which they emerged and developed. Volume 1 contains fourteen essays on twenty-two interpreters who were principally active before 1980, and volume 2 has nineteen essays on twenty-seven of those who were active primarily after this date. Each chapter provides a brief biography of one or more scholars, as well as a detailed description of their major contributions to the field. This is followed by an (often new) application of the scholar's theory. By focusing on the individual scholars and their work, the book recognizes that interpretive approaches arise out of certain circumstances, and that scholars are influenced by, and have influences upon, both other interpreters and the times in which they live. This set is ideal for any class on the history of biblical interpretation and for those who want a greater understanding of how the current field of biblical studies developed.
Book Synopsis Pillars in the History of Biblical Interpretation, Volume 2 by : Stanley E. Porter
Download or read book Pillars in the History of Biblical Interpretation, Volume 2 written by Stanley E. Porter and published by Wipf and Stock Publishers. This book was released on 2016-11-03 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-volume set is part of a growing body of literature concerned with the history of biblical interpretation. The ample introduction first situates key players in the story of the development of the major strands of biblical interpretation since the Enlightenment, identifying how different theoretical and methodological approaches are related to each other and describing the academic environment in which they emerged and developed. Volume 1 contains fourteen essays on twenty-two interpreters who were principally active before 1980, and volume 2 has nineteen essays on twenty-seven of those who were active primarily after this date. Each chapter provides a brief biography of one or more scholars, as well as a detailed description of their major contributions to the field. This is followed by an (often new) application of the scholar's theory. By focusing on the individual scholars and their work, the book recognizes that interpretive approaches arise out of certain circumstances, and that scholars are influenced by, and have influences upon, both other interpreters and the times in which they live. This set is ideal for any class on the history of biblical interpretation and for those who want a greater understanding of how the current field of biblical studies developed.
Book Synopsis Kant’s Transcendental Semantics by : Zeljko Loparic
Download or read book Kant’s Transcendental Semantics written by Zeljko Loparic and published by Walter de Gruyter GmbH & Co KG. This book was released on 2024-12-16 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kant’s Transcendental Semantics is a translation of the most influential monograph on Kant published in Brazil, one that launched the “Semantic School” in a country with a thriving tradition of Kant scholarship. Zeljko Loparic differs from most interpreters of the Critique of Pure Reason in claiming that Kant’s main aim is neither metaphysical nor epistemological nor methodological but semantic in asking for the conditions for meaning and reference of terms in order to justify the possibility of meaningful discourse of different types. Loparic asks how our claims can have any meaning at all, how they relate to actual and possible objects, how our terms can ground scientific problem-solving, and what the truth-conditions are for various kinds of statements that differ according to the grounds of their meaning and the targets of their reference. Loparic argues for distinct uses for concepts of perception, concepts of experience, mathematical concepts, pure concepts of the understanding (the categories), and the heuristic ideas of reason. Because Kant’s main worry in the Critique of Pure Reason is with the possibility of synthetic a priori judgments, Loparic labels Kant’s defense of those judgments a transcendental semantics.
Book Synopsis Problems in Algebraic Number Theory by : M. Ram Murty
Download or read book Problems in Algebraic Number Theory written by M. Ram Murty and published by Springer Science & Business Media. This book was released on 2005-09-28 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problems are systematically arranged to reveal the evolution of concepts and ideas of the subject Includes various levels of problems - some are easy and straightforward, while others are more challenging All problems are elegantly solved
Book Synopsis Essential Mathematics for Undergraduates by : Simon G. Chiossi
Download or read book Essential Mathematics for Undergraduates written by Simon G. Chiossi and published by Springer Nature. This book was released on 2022-02-16 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook covers topics of undergraduate mathematics in abstract algebra, geometry, topology and analysis with the purpose of connecting the underpinning key ideas. It guides STEM students towards developing knowledge and skills to enrich their scientific education. In doing so it avoids the common mechanical approach to problem-solving based on the repetitive application of dry formulas. The presentation preserves the mathematical rigour throughout and still stays accessible to undergraduates. The didactical focus is threaded through the assortment of subjects and reflects in the book’s structure. Part 1 introduces the mathematical language and its rules together with the basic building blocks. Part 2 discusses the number systems of common practice, while the backgrounds needed to solve equations and inequalities are developed in Part 3. Part 4 breaks down the traditional, outdated barriers between areas, exploring in particular the interplay between algebra and geometry. Two appendices form Part 5: the Greek etymology of frequent terms and a list of mathematicians mentioned in the book. Abundant examples and exercises are disseminated along the text to boost the learning process and allow for independent work. Students will find invaluable material to shepherd them through the first years of an undergraduate course, or to complement previously learnt subject matters. Teachers may pick’n’mix the contents for planning lecture courses or supplementing their classes.
Book Synopsis Everyman's Judaica by : Geoffrey Wigoder
Download or read book Everyman's Judaica written by Geoffrey Wigoder and published by New York : L. Amiel. This book was released on 1974 with total page 732 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Palgrave Handbook of Cross-Cultural Business Negotiation by : Mohammad Ayub Khan
Download or read book The Palgrave Handbook of Cross-Cultural Business Negotiation written by Mohammad Ayub Khan and published by Springer. This book was released on 2018-12-13 with total page 577 pages. Available in PDF, EPUB and Kindle. Book excerpt: Global business management issues and concerns are complex, diverse, changing, and often intractable. Industry actors and policy makers alike rely upon partnerships and alliances for developing and growing sustainable business organizations and ventures. As a result, global business leaders must be well-versed in managing and leading multidimensional human relationships and business networks – requiring skill and expertise in conducting the negotiation processes that these entail. After laying out a foundation justifying the importance of studying negotiation in a global context, this book will detail conventional and contemporary theories regarding international engagement, culture, cultural difference, and cross-cultural interaction, with particular focus on their influence on negotiation. Building on these elements, the book will provide a broad array of country-specific chapters, each describing and analyzing the negotiation culture of businesspeople in a different country around the world. Finally, the book will look ahead, with an eye towards identifying and anticipating new trends and developments in the field of global negotiation. This text will appeal to scholars and researchers in international business, cross-cultural studies, and conflict management who seek to understand the challenges of intercultural communication and negotiation. It will provide trainers and consultants with the insights they need to prepare their clients for intercultural negotiation. Finally, the text will appeal to businesspeople who find themselves heading out to engage with counterparts in another country, or operating in other multinational environments on a regular basis.
Book Synopsis Transcendental Numbers by : M. Ram Murty
Download or read book Transcendental Numbers written by M. Ram Murty and published by Springer. This book was released on 2014-06-24 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the topic of transcendental numbers for upper-level undergraduate and graduate students. The text is constructed to support a full course on the subject, including descriptions of both relevant theorems and their applications. While the first part of the book focuses on introducing key concepts, the second part presents more complex material, including applications of Baker’s theorem, Schanuel’s conjecture, and Schneider’s theorem. These later chapters may be of interest to researchers interested in examining the relationship between transcendence and L-functions. Readers of this text should possess basic knowledge of complex analysis and elementary algebraic number theory.
