Author: Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 728
Book Description
Libertas Mathematica
Author: Functional Differential Equations
Author: Constantin CorduneanuPublisher: John Wiley & Sons
ISBN: 1119189470
Category : Mathematics
Languages : en
Pages : 362
Book Description
Features new results and up-to-date advances in modeling and solving differential equations Introducing the various classes of functional differential equations, Functional Differential Equations: Advances and Applications presents the needed tools and topics to study the various classes of functional differential equations and is primarily concerned with the existence, uniqueness, and estimates of solutions to specific problems. The book focuses on the general theory of functional differential equations, provides the requisite mathematical background, and details the qualitative behavior of solutions to functional differential equations. The book addresses problems of stability, particularly for ordinary differential equations in which the theory can provide models for other classes of functional differential equations, and the stability of solutions is useful for the application of results within various fields of science, engineering, and economics. Functional Differential Equations: Advances and Applications also features: • Discussions on the classes of equations that cannot be solved to the highest order derivative, and in turn, addresses existence results and behavior types • Oscillatory motion and solutions that occur in many real-world phenomena as well as in man-made machines • Numerous examples and applications with a specific focus on ordinary differential equations and functional differential equations with finite delay • An appendix that introduces generalized Fourier series and Fourier analysis after periodicity and almost periodicity • An extensive Bibliography with over 550 references that connects the presented concepts to further topical exploration Functional Differential Equations: Advances and Applications is an ideal reference for academics and practitioners in applied mathematics, engineering, economics, and physics. The book is also an appropriate textbook for graduate- and PhD-level courses in applied mathematics, differential and difference equations, differential analysis, and dynamics processes. CONSTANTIN CORDUNEANU, PhD, is Emeritus Professor in the Department of Mathematics at The University of Texas at Arlington, USA. The author of six books and over 200 journal articles, he is currently Associate Editor for seven journals; a member of the American Mathematical Society, Society for Industrial and Applied Mathematics, and the Romanian Academy; and past president of the American Romanian Academy of Arts and Sciences. YIZENG LI, PhD, is Professor in the Department of Mathematics at Tarrant County College, USA. He is a member of the Society for Industrial and Applied Mathematics. MEHRAN MAHDAVI, PhD, is Professor in the Department of Mathematics at Bowie State University, USA. The author of numerous journal articles, he is a member of the American Mathematical Society, Society for Industrial and Applied Mathematics, and the Mathematical Association of America.
Mathematical Analysis With Applications
Author: Sandra PinelasPublisher: Springer Nature
ISBN: 3030421767
Category : Mathematics
Languages : en
Pages : 433
Book Description
This proceedings volume covers research in key areas of applied mathematical analysis, and gathers works presented at the international conference “Concord-90,” in honor of the 90th birthday of Professor Constantin Corduneanu (1928-2018). The event – which Professor Corduneanu was able to attend – was held at Ural Federal University in Ekaterinburg, Russia, on July 26-28, 2018. Professor Corduneanu’s research in mathematical analysis spanned nearly seven decades and explored a range of important issues in the field, including studies of global existence, stability problems, and oscillation theory, with special emphasis on various classes of nonlinear equations. He published over two hundred articles and several books, including “Almost Periodic Oscillations and Waves” (Springer, 2009). In this volume the reader will find selected, peer-reviewed articles from seven fields of research – Differential Equations, Optimal Control and Stabilization; Stochastic Methods; Topology and Functions Approximation; Mathematical Biology and Bioinformatics; Mathematical Modeling in Mining; Mathematical Modeling in Economics; and Computer Science and Image Processing – which honor and reflect Professor Corduneanu’s legacy in the fields of oscillation, stability and control theory.
Revolutions and Continuity in Greek Mathematics
Author: Michalis SialarosPublisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110565951
Category : History
Languages : en
Pages : 401
Book Description
This volume brings together a number of leading scholars working in the field of ancient Greek mathematics to present their latest research. In their respective area of specialization, all contributors offer stimulating approaches to questions of historical and historiographical ‘revolutions’ and ‘continuity’. Taken together, they provide a powerful lens for evaluating the applicability of Thomas Kuhn’s ideas on ‘scientific revolutions’ to the discipline of ancient Greek mathematics. Besides the latest historiographical studies on ‘geometrical algebra’ and ‘premodern algebra’, the reader will find here some papers which offer new insights into the controversial relationship between Greek and pre-Hellenic mathematical practices. Some other contributions place emphasis on the other edge of the historical spectrum, by exploring historical lines of ‘continuity’ between ancient Greek, Byzantine and post-Hellenic mathematics. The terminology employed by Greek mathematicians, along with various non-textual and material elements, is another topic which some of the essays in the volume explore. Finally, the last three articles focus on a traditionally rich source on ancient Greek mathematics; namely the works of Plato and Aristotle.
Making and Breaking Mathematical Sense
Author: Roi WagnerPublisher: Princeton University Press
ISBN: 0691171718
Category : Mathematics
Languages : en
Pages : 250
Book Description
In line with the emerging field of philosophy of mathematical practice, this book pushes the philosophy of mathematics away from questions about the reality and truth of mathematical entities and statements and toward a focus on what mathematicians actually do—and how that evolves and changes over time. How do new mathematical entities come to be? What internal, natural, cognitive, and social constraints shape mathematical cultures? How do mathematical signs form and reform their meanings? How can we model the cognitive processes at play in mathematical evolution? And how does mathematics tie together ideas, reality, and applications? Roi Wagner uniquely combines philosophical, historical, and cognitive studies to paint a fully rounded image of mathematics not as an absolute ideal but as a human endeavor that takes shape in specific social and institutional contexts. The book builds on ancient, medieval, and modern case studies to confront philosophical reconstructions and cutting-edge cognitive theories. It focuses on the contingent semiotic and interpretive dimensions of mathematical practice, rather than on mathematics' claim to universal or fundamental truths, in order to explore not only what mathematics is, but also what it could be. Along the way, Wagner challenges conventional views that mathematical signs represent fixed, ideal entities; that mathematical cognition is a rigid transfer of inferences between formal domains; and that mathematics’ exceptional consensus is due to the subject’s underlying reality. The result is a revisionist account of mathematical philosophy that will interest mathematicians, philosophers, and historians of science alike.
Mathematics in Ancient Egypt
Author: Annette ImhausenPublisher: Princeton University Press
ISBN: 0691209073
Category : Mathematics
Languages : en
Pages : 248
Book Description
A survey of ancient Egyptian mathematics across three thousand years Mathematics in Ancient Egypt traces the development of Egyptian mathematics, from the end of the fourth millennium BC—and the earliest hints of writing and number notation—to the end of the pharaonic period in Greco-Roman times. Drawing from mathematical texts, architectural drawings, administrative documents, and other sources, Annette Imhausen surveys three thousand years of Egyptian history to present an integrated picture of theoretical mathematics in relation to the daily practices of Egyptian life and social structures. Imhausen shows that from the earliest beginnings, pharaonic civilization used numerical techniques to efficiently control and use their material resources and labor. Even during the Old Kingdom, a variety of metrological systems had already been devised. By the Middle Kingdom, procedures had been established to teach mathematical techniques to scribes in order to make them proficient administrators for their king. Imhausen looks at counterparts to the notation of zero, suggests an explanation for the evolution of unit fractions, and analyzes concepts of arithmetic techniques. She draws connections and comparisons to Mesopotamian mathematics, examines which individuals in Egyptian society held mathematical knowledge, and considers which scribes were trained in mathematical ideas and why. Of interest to historians of mathematics, mathematicians, Egyptologists, and all those curious about Egyptian culture, Mathematics in Ancient Egypt sheds new light on a civilization's unique mathematical evolution.
Anachronisms in the History of Mathematics
Author: Niccol- GuicciardiniPublisher: Cambridge University Press
ISBN: 1108834965
Category : History
Languages : en
Pages : 393
Book Description
Discover essays by leading scholars on the history of mathematics from ancient to modern times in European and non-European cultures.
Mathematics Almost Everywhere: In Memory Of Solomon Marcus
Author: Bellow AlexandraPublisher: World Scientific
ISBN: 9813237325
Category : Computers
Languages : en
Pages : 252
Book Description
The book is a collection of original papers, research and surveys, dedicated to the memory of the Romanian mathematician Solomon Marcus (1925-2016). Marcus published many papers and books in mathematical analysis, theoretical computer science, mathematical linguistics, poetics, theory of literature, semiotics, and several other fields less strongly connected to mathematics, like cultural anthropology, biology, history and philosophy of science, education. He exemplified an unimaginable richness of ideas. This volume intends to emphasize the mathematical fields in which Solomon Marcus worked, and demonstrate -- as he also did -- the interconnection between them. The authors who contribute to this volume are well-known experts in their fields. Most of them knew Solomon Marcus well, some even owed him for his decisive impulses for their careers and general development. With articles in so diverse areas, the volume will attract readers who would like to diversify their own knowledge or find unexpected connections with other topics. Contents: Logic, Complexity and Algebra: On Bases of Many-Valued Truth Functions (A Salomaa) Quasiperiods of Infinite Words (L Staiger) Early Romanian Contributions to Algebra and Polynomials (D Ştefănescu) Distributed Compression through the Lens of Algorithmic Information Theory: A Primer (M Zimand) Integrals, Operators, AF Algebras, Proof Mining and Monotone Nonexpansive Mappings: Monotonically Controlled Integrals (T Ball, D Preiss) Fine Properties of Duality Mappings (G Dincă) Primitive Ideal Spaces of Postliminal AF Algebras (A Lazar) An Application of Proof Miningto the Proximal Point Algorithm in CAT(0) Spaces (L Leuştean, A Sipoş) Generic Well-posedness of the Fixed Point Problem for Monotone Nonexpansive Mappings (S Reich, A J Zaslavski) Linguistics, Computer Science and Physics: Analytical Linguistics and Formal Grammars: Contributions of Solomon Marcus and Their Further Developments (M Burgin) A Contagious Creativity (Gh Păun) Entanglement through Path Identification (K Svozil) Solomon Marcus in Context: Memories about Solomon Marcus (A Bruckner) Memories With and About My Uncle (M Marcus) Index Readership: Graduate students and researchers. Keywords: Discrete Mathematics;Mathematical Analysis;Complexity Theory;Proof Mining;Mathematical Biology;Formal Languages;Theoretical Mechanics;Mathematical Linguistics;Theoretical PhysicsReview: Key Features: New results in a variety of mathematical areas including operator theory, measure theory, real and functional analysis, computable algebra, formal languages, proof mining in nonlinear analysis, theoretical mechanics, mathematical logic, and topical surveys in mathematical linguistics, complexity theory and computational biology The authors, coming from various parts of the world, are well-known experts in the areas of their contributions Interconnections between results and domains will make the volume not only informative, but also attractive and unique
Amazing Traces of a Babylonian Origin in Greek Mathematics
Author: Smarandache Function Journal, vol. 2-3/1993
Author: C. Dumitrescu Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 73
Book Description
A collection of papers concerning Smarandache type functions, numbers, sequences, inteqer algorithms, paradoxes, experimental geometries, algebraic structures, neutrosophic probability, set, and logic, etc.