Ripples In Mathematics
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Ripples In Mathematics
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Author : A. Jensen
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-06-06
Ripples In Mathematics written by A. Jensen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-06-06 with Mathematics categories.
This introduction to the discrete wavelet transform and its applications is based on a novel approach to discrete wavelets called lifting. After an elementary introduction, connections of filter theory are presented, and wavelet packet transforms are defined. The time-frequency plane is used for interpretation of signals, problems with finite length signals are detailed, and MATLAB is used for examples and implementation of transforms.
Ripples In Mathematics
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Author : Jenson
language : en
Publisher:
Release Date : 2003-01-01
Ripples In Mathematics written by Jenson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-01-01 with categories.
Mathematics In Nature
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Author : John Adam
language : en
Publisher: Princeton University Press
Release Date : 2011-10-02
Mathematics In Nature written by John Adam and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-02 with Mathematics categories.
From rainbows, river meanders, and shadows to spider webs, honeycombs, and the markings on animal coats, the visible world is full of patterns that can be described mathematically. Examining such readily observable phenomena, this book introduces readers to the beauty of nature as revealed by mathematics and the beauty of mathematics as revealed in nature. Generously illustrated, written in an informal style, and replete with examples from everyday life, Mathematics in Nature is an excellent and undaunting introduction to the ideas and methods of mathematical modeling. It illustrates how mathematics can be used to formulate and solve puzzles observed in nature and to interpret the solutions. In the process, it teaches such topics as the art of estimation and the effects of scale, particularly what happens as things get bigger. Readers will develop an understanding of the symbiosis that exists between basic scientific principles and their mathematical expressions as well as a deeper appreciation for such natural phenomena as cloud formations, halos and glories, tree heights and leaf patterns, butterfly and moth wings, and even puddles and mud cracks. Developed out of a university course, this book makes an ideal supplemental text for courses in applied mathematics and mathematical modeling. It will also appeal to mathematics educators and enthusiasts at all levels, and is designed so that it can be dipped into at leisure.
Mathematical Problems In The Theory Of Water Waves
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Author : Frederic Dias
language : en
Publisher: American Mathematical Soc.
Release Date : 1996
Mathematical Problems In The Theory Of Water Waves written by Frederic Dias and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.
The proceedings featured in this book grew out of a conference attended by 40 applied mathematicians and physicists which was held at the International Center for Research in Mathematics in Luminy, France, in May 1995. This volume reviews recent developments in the mathematical theory of water waves. The following aspects are considered: modeling of various wave systems, mathematical and numerical analysis of the full water wave problem (the Euler equations with a free surface) and of asymptotic models (Korteweg-de Vries, Boussinesq, Benjamin-Ono, Davey-Stewartson, Kadomtsev-Petviashvili, etc.), and existence and stability of solitary waves.
Nineteen Ways Of Looking At Consciousness
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Author : Patrick House
language : en
Publisher: St. Martin's Press
Release Date : 2022-10-11
Nineteen Ways Of Looking At Consciousness written by Patrick House and has been published by St. Martin's Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-10-11 with Science categories.
A concise, elegant, and thought-provoking exploration of the mystery of consciousness and the functioning of the brain. Despite decades of research, remarkable imagery, and insights from a range of scientific and medical disciplines, the human brain remains largely unexplored. Consciousness has eluded explanation. Nineteen Ways of Looking at Consciousness offers a brilliant overview of the state of modern consciousness research in twenty brief, revealing chapters. Neuroscientist and author Patrick House describes complex concepts in accessible terms, weaving brain science, technology, gaming, analogy, and philosophy into a tapestry that illuminates how the brain works and what enables consciousness. This remarkable book fosters a sense of mystery and wonder about the strangeness of the relationship between our inner selves and our environment.
The Mathematical Theory Of Permanent Progressive Water Waves
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Author : Hisashi Okamoto
language : en
Publisher: World Scientific Publishing Company
Release Date : 2001-09-28
The Mathematical Theory Of Permanent Progressive Water Waves written by Hisashi Okamoto and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-09-28 with Mathematics categories.
This book is a self-contained introduction to the theory of periodic, progressive, permanent waves on the surface of incompressible inviscid fluid. The problem of permanent water-waves has attracted a large number of physicists and mathematicians since Stokes' pioneering papers appeared in 1847 and 1880. Among many aspects of the problem, the authors focus on periodic progressive waves, which mean waves traveling at a constant speed with no change of shape. As a consequence, everything about standing waves are excluded and solitary waves are studied only partly. However, even for this restricted problem, quite a number of papers and books, in physics and mathematics, have appeared and more will continue to appear, showing the richness of the subject. In fact, there remain many open questions to be answered.The present book consists of two parts: numerical experiments and normal form analysis of the bifurcation equations. Prerequisite for reading it is an elementary knowledge of the Euler equations for incompressible inviscid fluid and of bifurcation theory. Readers are also expected to know functional analysis at an elementary level. Numerical experiments are reported so that any reader can re-examine the results with minimal labor: the methods used in this book are well-known and are described as clearly as possible. Thus, the reader with an elementary knowledge of numerical computation will have little difficulty in the re-examination.
Pi In Nature Art And Culture
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Author : Marcel Danesi
language : en
Publisher: BRILL
Release Date : 2020-12-07
Pi In Nature Art And Culture written by Marcel Danesi and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-07 with Mathematics categories.
In Pi (π) in Nature, Art, and Culture Marcel Danesi revisits the importance of π as a pattern in the structure of reality, fitting in with the Pythagorean view of Order. Pi has cropped up in formulas that describe natural and physical structures which, on the surface, seem to have nothing to do with a circle, but might harbor the archetype of circularity as a principle. Through π, this book thus revisits the implicit ancient Greek view that geometry was a 'hermeneutic science,' a discipline aiming to investigate the connectivity among numbers, shapes, and natural phenomena. It also examines its manifestations in aesthetic, symbolic and cultural structures, which point to an abiding fascination with the circle as an unconscious archetype. Hermeneutic geometry is ultimately about the exploration of the meanings of geometric-mathematical notions to science and human life.
Advances In The Mathematical Sciences
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Author : Alyson Deines
language : en
Publisher: Springer
Release Date : 2018-10-31
Advances In The Mathematical Sciences written by Alyson Deines and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-31 with Mathematics categories.
Featuring research from the 2017 research symposium of the Association for Women in Mathematics, this volume presents recent findings in pure mathematics and a range of advances and novel applications in fields such as engineering, biology, and medicine. Featured topics include geometric group theory, generalized iterated wreath products of cyclic groups and symmetric groups, Conway-Coxeter friezes and mutation, and classroom experiments in teaching collegiate mathematics. A review of DNA topology and a computational study of learning-induced sequence reactivation during sharp-wave ripples are also included in this volume. Numerous illustrations and tables convey key results throughout the book. This volume highlights research from women working in academia, industry, and government. It is a helpful resource for researchers and graduate students interested in an overview of the latest research in mathematics.
Ontological Mathematics How To Create The Universe
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Author : Mike Hockney
language : en
Publisher: Magus Books
Release Date :
Ontological Mathematics How To Create The Universe written by Mike Hockney and has been published by Magus Books this book supported file pdf, txt, epub, kindle and other format this book has been release on with Philosophy categories.
This book explains how the entire universe can be created using just two ingredients: nothing at all and the Principle of Sufficient Reason (PSR). Why would you need anything else? Nothing else could do the job. Existence, believe it or not, is just dimensionless mathematical points moving according to the PSR. Come and find out how the PSR accomplishes it.
Introduction To Mathematics
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Author : Scott A. Taylor
language : en
Publisher: American Mathematical Society
Release Date : 2023-09-13
Introduction To Mathematics written by Scott A. Taylor and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-13 with Mathematics categories.
This textbook is designed for an Introduction to Proofs course organized around the themes of number and space. Concepts are illustrated using both geometric and number examples, while frequent analogies and applications help build intuition and context in the humanities, arts, and sciences. Sophisticated mathematical ideas are introduced early and then revisited several times in a spiral structure, allowing students to progressively develop rigorous thinking. Throughout, the presentation is enlivened with whimsical illustrations, apt quotations, and glimpses of mathematical history and culture. Early chapters integrate an introduction to sets, logic, and beginning proof techniques with a first exposure to more advanced mathematical structures. The middle chapters focus on equivalence relations, functions, and induction. Carefully chosen examples elucidate familiar topics, such as natural and rational numbers and angle measurements, as well as new mathematics, such as modular arithmetic and beginning graph theory. The book concludes with a thorough exploration of the cardinalities of finite and infinite sets and, in two optional chapters, brings all the topics together by constructing the real numbers and other complete metric spaces. Designed to foster the mental flexibility and rigorous thinking needed for advanced mathematics, Introduction to Mathematics suits either a lecture-based or flipped classroom. A year of mathematics, statistics, or computer science at the university level is assumed, but the main prerequisite is the willingness to engage in a new challenge.