Tag: Mathematical

Free Download Exploring Mathematical Analysis, Approximation Theory, and Optimization: 270 Years Since A.-M. Legendre’s Birth by Nicholas J. Daras, Michael Th. Rassias, Nikolaos B. Zographopoulos
English | PDF EPUB (True) | 2023 | 474 Pages | ISBN : 3031464869 | 53.9 MB
This book compiles research and surveys devoted to the areas of mathematical analysis, approximation theory, and optimization. Being dedicated to A.-M. Legendre’s work, contributions to this volume are devoted to those branches of mathematics and its applications that have been influenced, directly or indirectly, by the mathematician. Additional contributions provide a historical background as it relates to Legendre’s work and its association to the foundation of Greece’s higher education.

Free Download Emily Grosholz, Herbert Breger, "The Growth of Mathematical Knowledge"
English | 2000 | ISBN: 9048153913, 0792361512 | DJVU | pages: 470 | 4.6 mb
Mathematics has stood as a bridge between the Humanities and the Sciences since the days of classical antiquity. For Plato, mathematics was evidence of Being in the midst of Becoming, garden variety evidence apparent even to small children and the unphilosophical, and therefore of the highest educational significance. In the great central similes of The Republic it is the touchstone ofintelligibility for discourse, and in the Timaeus it provides in an oddly literal sense the framework of nature, insuring the intelligibility ofthe material world. For Descartes, mathematical ideas had a clarity and distinctness akin to the idea of God, as the fifth of the Meditations makes especially clear. Cartesian mathematicals are constructions as well as objects envisioned by the soul; in the Principles, the work ofthe physicist who provides a quantified account ofthe machines of nature hovers between description and constitution. For Kant, mathematics reveals the possibility of universal and necessary knowledge that is neither the logical unpacking ofconcepts nor the record of perceptual experience. In the Critique ofPure Reason, mathematics is one of the transcendental instruments the human mind uses to apprehend nature, and by apprehending to construct it under the universal and necessary lawsofNewtonian mechanics.

Free Download Horace Glover, "Mathematical Thought: An Introduction to the Philosophy of Mathematics"
English | 1965 | ISBN: 9048183278 | DJVU | pages: 220 | 1.9 mb
In contributing a foreword to this book I am complying with a wish my husband expressed a few days before his death. He had completed the manuscript of this work, which may be considered a companion volume to his book Formal Methods. The task of seeing it through the press was undertaken by Mr. J. J. A. Mooij, acting director of the Institute for Research in Foundations and the Philosophy of Science (Instituut voor Grondslagenonderzoek en Filoso:fie der Exacte Wetenschappen) of the University of Amsterdam, with the help of Mrs. E. M. Barth, lecturer at the Institute. I wish to thank Mr. Mooij and Mrs. Barth most cordially for the care with which they have acquitted themselves of this delicate task and for the speed with which they have brought it to completion. I also wish to express my gratitude to Miss L. E. Minning, M. A. , for the helpful advice she has so kindly given to Mr. Mooij and Mrs. Barth during the proof reading. C. P. C. BETH-PASTOOR VII PREFACE A few years ago Mr. Horace S.

Free Download Erchin Serpedin, Thomas Chen, Dinesh Rajan, "Mathematical Foundations for Signal Processing, Communications, and Networking"
English | 2017 | ISBN: 1138072168, 1439855137 | PDF | pages: 852 | 4.8 mb
Mathematical Foundations for Signal Processing, Communications, and Networking describes mathematical concepts and results important in the design, analysis, and optimization of signal processing algorithms, modern communication systems, and networks. Helping readers master key techniques and comprehend the current research literature, the book offers a comprehensive overview of methods and applications from linear algebra, numerical analysis, statistics, probability, stochastic processes, and optimization.

Free Download E.W. Beth, J. Piaget, W. Mays, "Mathematical Epistemology and Psychology"
English | 1974 | ISBN: 9048183286, 9027700710 | DJVU | pages: 347 | 2.9 mb
One of the controversial philosophical issues of recent years has been the question of the nature of logical and mathematical entities. Platonist or linguistic modes of explanation have become fashionable, whilst abstrac tionist and constructionist theories have ceased to be so. Beth and Piaget approach this problem in their book from two somewhat different points of view. Beth’s approach is largely historico-critical, although he discusses the nature of heuristic thinking in mathematics, whilst that of Piaget is psycho-genetic. The major purpose of this introduction is to summarise some of the main points of their respective arguments. In the first part of this book Beth makes a detailed study of the history of philosophical thinking about mathematics, and draws our attention to the important role played by the Aristotelian methodology of the demon strative sciences. This, he tells us, is characterised by three postulates: (a) deductivity, (b) self-evidence, and © reality. The last postulate asserts that the primitive notions of a demonstrative science must have reference to a domain of real entities in order to have significance. On the Aristote lian view discursive reasoning plays a major role in mathematics, whilst pure intuition plays a somewhat subordinate one.

Free Download Florence Mihaela Singer, "Mathematical Creativity and Mathematical Giftedness: Enhancing Creative Capacities in Mathematically Promising Students"
English | 2018 | ISBN: 3319731556, 3030103269 | PDF | pages: 423 | 9.3 mb
This book discusses the relationships between mathematical creativity and mathematical giftedness. It gathers the results of a literature review comprising all papers addressing mathematical creativity and giftedness presented at the International Congress on Mathematical Education (ICME) conferences since 2000. How can mathematical creativity contribute to children’s balanced development? What are the characteristics of mathematical giftedness in early ages? What about these characteristics at university level? What teaching strategies can enhance creative learning? How can young children’s mathematical promise be preserved and cultivated, preparing them for a variety of professions? These are some of the questions addressed by this book.

Free Download Introduction to Mathematical Statistics (What’s New in Statistics), 8th Edition by Robert V. Hogg, Allen T. Craig, Joseph W. McKean
English | January 10th, 2018 | ISBN: 0134686993 | 761 pages | True PDF | 6.34 MB
For courses in mathematical statistics.

Free Download William H. Beyer, "Handbook of Mathematical Science"
English | 2018 | ISBN: 0849306566 | PDF | pages: 871 | 27.2 mb
Numerical tables of mathematical and statistical functions are in continual demand by professional scientists, by those in the teaching profession, and by students of mathematics and related sciences. This handbook contains the most up-to-date, authoritative, logically arranged and readily usable collection of reference material available

Free Download Julian Hook, "Exploring Musical Spaces: A Synthesis of Mathematical Approaches "
English | ISBN: 0190246014 | 2022 | 680 pages | PDF | 119 MB
Exploring Musical Spaces is a comprehensive synthesis of mathematical techniques in music theory, written with the aim of making these techniques accessible to music scholars without extensive prior training in mathematics. The book adopts a visual orientation, introducing from the outset a number of simple geometric models—the first examples of the musical spaces of the book’s title—depicting relationships among musical entities of various kinds such as notes, chords, scales, or rhythmic values. These spaces take many forms and become a unifying thread in initiating readers into several areas of active recent scholarship, including transformation theory, neo-Riemannian theory, geometric music theory, diatonic theory, and scale theory. Concepts and techniques from mathematical set theory, graph theory, group theory, geometry, and topology are introduced as needed to address musical questions. Musical examples ranging from Bach to the late twentieth century keep the underlying musical motivations close at hand. The book includes hundreds of figures to aid in visualizing the structure of the spaces, as well as exercises offering readers hands-on practice with a diverse assortment of concepts and techniques.

Free Download Mathematics of Public Health: Mathematical Modelling from the Next Generation
English | 2023 | ISBN: 3031408047 | 318 Pages | PDF EPUB (True) | 55 MB
This volume addresses SDG 3 from a mathematical standpoint, sharing novel perspectives of existing communicable disease modelling technologies of the next generation and disseminating new developments in modelling methodologies and simulation techniques. These methodologies are important for training and research in communicable diseases and can be applied to other threats to human health. The contributions contained in this collection/book cover a range of modelling techniques that have been and may be used to support decision-making on critical health related issues such as: