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In this captivating historical novel, Daniele Struppa skillfully weaves a fictional autobiography, bringing Fibonacci to life with vivid details of his upbringing and adult years in Medieval Europe. As we explore the historical context of Fibonacci's time, we delve into the intriguing aspects of a bygone era, painting a compelling picture of a man whose contributions to mathematics continue to resonate today. From his groundbreaking work on congruent numbers to the famous numerical sequence that bears his name, the author invites readers to imagine the creative sparks that ignited Fibonacci's mathematical innovations. When historical evidence is elusive, accuracy and passion are seamlessly combined, offering plausible scenarios grounded in documented facts. A meticulously crafted apparatus of notes distinguishes fact from fiction, providing readers with a clear guide to navigate this enthralling reconstruction of Fibonacci's life. Step into the medieval world of Leonardo Fibonacci, one of the most celebrated mathematicians in history, and discover the man behind the mathematical genius. Mathematicians and curious readers alike will appreciate the allure of Fibonacci's mathematical brilliance.
Mathematics. --- History. --- History of Mathematical Sciences. --- Mathematicians --- Fibonacci, Leonardo,
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Mathematics --- History --- geschiedenis --- wiskunde
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Leon Ehrenpreis has been one of the leading mathematicians in the twentieth century. His contributions to the theory of partial differential equations were part of the golden era of PDEs, and led him to what is maybe his most important contribution, the Fundamental Principle, which he announced in 1960, and fully demonstrated in 1970. His most recent work, on the other hand, focused on a novel and far reaching understanding of the Radon transform, and offered new insights in integral geometry. Leon Ehrenpreis died in 2010, and this volume collects writings in his honor by a cadre of distinguished mathematicians, many of which (Farkas, Kawai, Kuchment, Quinto) were his collaborators.
Ehrenpreis, Leon. --- Mathematicians. --- Mathematics -- History. --- Mathematics --- Mathematicians --- Civil & Environmental Engineering --- Physical Sciences & Mathematics --- Engineering & Applied Sciences --- Mathematics - General --- Operations Research --- History --- History. --- Math --- Ehrenpreis, Eliezer --- Mathematics. --- Fourier analysis. --- Partial differential equations. --- Functions of complex variables. --- Fourier Analysis. --- Several Complex Variables and Analytic Spaces. --- Partial Differential Equations. --- Complex variables --- Elliptic functions --- Functions of real variables --- Partial differential equations --- Analysis, Fourier --- Mathematical analysis --- Science --- Scientists --- Differential equations, partial.
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This engaging volume celebrates the life and work of Theodor Holm “Ted” Nelson, a pioneer and legendary figure from the history of early computing. Presenting contributions from world-renowned computer scientists and figures from the media industry, the book delves into hypertext, the docuverse, Xanadu, and other products of Ted Nelson’s unique mind. Topics and features: Includes a cartoon and a sequence of poems created in Nelson’s honor, reflecting his wide-ranging and interdisciplinary intellect Presents peer histories, providing a sense of the milieu that resulted from Nelson’s ideas Contains personal accounts revealing what it is like to collaborate directly with Nelson Describes Nelson’s legacy from the perspective of his contemporaries from the computing world and the scholars who continue to examine his work Provides a contribution from Ted Nelson himself With a broad appeal spanning practitioners in computer science, historians of science and the general reader, this inspiring collection reveals the continuing influence of the original visionary of the World Wide Web. Prof. Daniele C. Struppa is Chancellor of Chapman University, Orange, CA, USA. His other publications with Springer include the titles The Mathematical Legacy of Leon Ehrenpreis and Noncommutative Functional Calculus. Dr. Douglas R. Dechow is Digital Humanities and Science Librarian at Chapman University Leatherby Libraries.
Computer Science. --- History of Computing. --- Computer Appl. in Arts and Humanities. --- Data Structures. --- User Interfaces and Human Computer Interaction. --- Computer science. --- Data structures (Computer science). --- Information systems. --- Informatique --- Structures de données (Informatique) --- Engineering & Applied Sciences --- Computer Science --- Information storage and retrieval systems --- Systèmes d'information --- Computer science --- Hypertext systems. --- History. --- Nelson, Theodor H. --- Hypertext --- Informatics --- User interfaces (Computer systems). --- Application software. --- Computers. --- Interactive multimedia --- Science --- Nelson, Ted --- Data structures (Computer scienc. --- Data structures (Computer science) --- Information structures (Computer science) --- Structures, Data (Computer science) --- Structures, Information (Computer science) --- Electronic data processing --- File organization (Computer science) --- Abstract data types (Computer science) --- Interfaces, User (Computer systems) --- Human-machine systems --- Human-computer interaction --- Application computer programs --- Application computer software --- Applications software --- Apps (Computer software) --- Computer software --- Automatic computers --- Automatic data processors --- Computer hardware --- Computing machines (Computers) --- Electronic brains --- Electronic calculating-machines --- Electronic computers --- Hardware, Computer --- Computer systems --- Cybernetics --- Machine theory --- Calculators --- Cyberspace --- History of Computing --- Computer Appl. in Arts and Humanities --- Data Structures --- User Interfaces and Human Computer Interaction
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This book presents a functional calculus for n-tuples of not necessarily commuting linear operators. In particular, a functional calculus for quaternionic linear operators is developed. These calculi are based on a new theory of hyperholomorphicity for functions with values in a Clifford algebra: the so-called slice monogenic functions which are carefully described in the book. In the case of functions with values in the algebra of quaternions these functions are named slice regular functions.
Except for the appendix and the introduction all results are new and appear for the first time organized in a monograph. The material has been carefully prepared to be as self-contained as possible. The intended audience consists of researchers, graduate and postgraduate students interested in operator theory, spectral theory, hypercomplex analysis, and mathematical physics.
.Field theory (Physics). --- Function spaces. --- Functional analysis. --- Lp spaces. --- Noncommutative function spaces. --- Functional analysis --- Functions of complex variables --- Operator theory --- Mathematics --- Physical Sciences & Mathematics --- Calculus --- Non-commutative function spaces --- Functional calculus --- Spaces, Lp --- Spaces, Function --- Mathematics. --- Functions of complex variables. --- Operator theory. --- Operator Theory. --- Functional Analysis. --- Functions of a Complex Variable. --- Calculus of variations --- Functional equations --- Integral equations --- Function spaces --- Complex variables --- Elliptic functions --- Functions of real variables
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Yakir Aharonov is one of the leading figures in the foundations of quantum physics. His contributions range from the celebrated Aharonov-Bohm effect (1959), to the more recent theory of weak measurements (whose experimental confirmations were recently ranked as the two most important results of physics in 2011). This volume will contain 27 original articles, contributed by the most important names in quantum physics, in honor of Aharonov's 80-th birthday. Sections include "Quantum mechanics and reality," with contributions from Nobel Laureates David Gross and Sir Anthony Leggett and Yakir Aharonov, S. Popescu and J. Tollaksen; "Building blocks of Nature" with contributions from Francois Englert (co-proposer of the scalar boson along with Peter Higgs); "Time and Cosmology" with contributions from Leonard Susskind, P.C.W. Davies and James Hartle; "Universe as a Wavefunction," with contributions from Phil Pearle, Sean Carroll and David Albert; "Nonlocality," with contributions from Nicolas Gisin, Daniel Rohrlich, Ray Chiao and Lev Vaidman; and finishing with multiple sections on weak values with contributions from A. Jordan, A. Botero, A.D. Parks, L. Johansen, F. Colombo, I. Sabadini, D.C. Struppa, M.V. Berry, B. Reznik, N. Turok, G.A.D. Briggs, Y. Gefen, P. Kwiat, and A. Pines, among others.
Physics. --- Quantum theory. --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Natural philosophy --- Philosophy, Natural --- Quantum field theory. --- String theory. --- Quantum physics. --- Quantum Physics. --- Quantum Field Theories, String Theory. --- History and Philosophical Foundations of Physics. --- Physics --- Mechanics --- Thermodynamics --- Physical sciences --- Dynamics --- Models, String --- String theory --- Nuclear reactions --- Relativistic quantum field theory --- Field theory (Physics) --- Quantum theory --- Relativity (Physics)
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The theory of slice regular functions over quaternions is the central subject of the present volume. This recent theory has expanded rapidly, producing a variety of new results that have caught the attention of the international research community. At the same time, the theory has already developed sturdy foundations. The richness of the theory of the holomorphic functions of one complex variable and its wide variety of applications are a strong motivation for the study of its analogs in higher dimensions. In this respect, the four-dimensional case is particularly interesting due to its relevance in physics and its algebraic properties, as the quaternion forms the only associative real division algebra with a finite dimension n>2. Among other interesting function theories introduced in the quaternionic setting, that of (slice) regular functions shows particularly appealing features. For instance, this class of functions naturally includes polynomials and power series. The zero set of a slice regular function has an interesting structure, strictly linked to a multiplicative operation, and it allows the study of singularities. Integral representation formulas enrich the theory and they are a fundamental tool for one of the applications, the construction of a noncommutative functional calculus. The volume presents a state-of-the-art survey of the theory and a brief overview of its generalizations and applications. It is intended for graduate students and researchers in complex or hypercomplex analysis and geometry, function theory, and functional analysis in general.
Algebra. --- Mathematics. --- Polynomials. --- Functions, Quaternion --- Mathematics --- Physical Sciences & Mathematics --- Calculus --- Functional analysis. --- Functions of complex variables. --- Sequences (Mathematics) --- Mathematical sequences --- Numerical sequences --- Complex variables --- Functional calculus --- Math --- Sequences (Mathematics). --- Functions of a Complex Variable. --- Sequences, Series, Summability. --- Functional Analysis. --- Elliptic functions --- Functions of real variables --- Calculus of variations --- Functional equations --- Integral equations --- Science --- Algebra
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This Briefs volume develops the theory of entire slice regular functions. It is the first self-contained, monographic work on the subject, offering all the necessary background information and detailed studies on several central topics, including estimates on the minimum modulus of regular functions, relations between Taylor coefficients and the growth of entire functions, density of their zeros, and the universality properties. The proofs presented here shed new light on the nature of the quaternionic setting and provide inspiration for further research directions. Also featuring an exhaustive reference list, the book offers a valuable resource for graduate students, postgraduate students and researchers in various areas of mathematical analysis, in particular hypercomplex analysis and approximation theory.
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Operator theory --- Functional analysis --- functies (wiskunde)
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