Useful Mathematical and Physical Formulae


Author: Matthew Watkins
Publisher: Bloomsbury Publishing USA
ISBN: 0802713807
Category: Mathematics
Page: 64
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A compact volume of mathematical and physical formulae presented in a concise manner for general use. Collected in this book are commonly used formulae for studies such as quadratics, calculus and trigonometry; in addition are simplified explanations of Newton's Laws of Gravity and Snell's Laws of Refraction. A glossary, a table of mathematical and physical constants, and a listing of Imperial and Metric conversions is also included.

Sciencia

Mathematics, Physics, Chemistry, Biology, and Astronomy for All
Author: Matt Tweed,Matthew Watkins,Moff Betts
Publisher: Bloomsbury Publishing USA
ISBN: 0802778992
Category: Mathematics
Page: 416
View: 4241

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Collects six short illustrated volumes covering topics in mathematics, physics, chemistry, biology, evolution, and astronomy.

Mathematics for the Physical Sciences


Author: Laurent Schwartz
Publisher: Courier Dover Publications
ISBN: 0486466620
Category: Mathematics
Page: 358
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Concise treatment of mathematical entities employs examples from the physical sciences. Topics include distribution theory, Fourier series, Laplace transforms, wave and heat conduction equations, and gamma and Bessel functions. 1966 edition.

Q.E.D.

Beauty in Mathematical Proof
Author: Burkard Polster
Publisher: Bloomsbury Publishing USA
ISBN: 0802714315
Category: Mathematics
Page: 58
View: 8683

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Q.E.D. presents some of the most famous mathematical proofs in a charming book that will appeal to nonmathematicians and math experts alike. Grasp in an instant why Pythagoras's theorem must be correct. Follow the ancient Chinese proof of the volume formula for the frustrating frustum, and Archimedes' method for finding the volume of a sphere. Discover the secrets of pi and why, contrary to popular belief, squaring the circle really is possible. Study the subtle art of mathematical domino tumbling, and find out how slicing cones helped save a city and put a man on the moon.

Vectors, Tensors and the Basic Equations of Fluid Mechanics


Author: Rutherford Aris
Publisher: Courier Corporation
ISBN: 048613489X
Category: Mathematics
Page: 320
View: 8797

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Introductory text, geared toward advanced undergraduate and graduate students, applies mathematics of Cartesian and general tensors to physical field theories and demonstrates them in terms of the theory of fluid mechanics. 1962 edition.

Sacred Geometry


Author: Miranda Lundy
Publisher: Bloomsbury Publishing USA
ISBN: 0802713823
Category: Mathematics
Page: 64
View: 6404

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A unique introduction to this most ancient and timeless of universal sciences.

Essential Elements

Atoms, Quarks, and the Periodic Table
Author: Matt Tweed
Publisher: Bloomsbury Publishing USA
ISBN: 0802714080
Category: Science
Page: 58
View: 9170

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A short, illustrated introduction to the tiny building blocks of our universeincluding atoms, quarks, and the periodic table. Illustrations. 10,000print.

Essential Mathematical Biology


Author: Nicholas F. Britton
Publisher: Springer Science & Business Media
ISBN: 1447100492
Category: Mathematics
Page: 335
View: 7533

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This self-contained introduction to the fast-growing field of Mathematical Biology is written for students with a mathematical background. It sets the subject in a historical context and guides the reader towards questions of current research interest. A broad range of topics is covered including: Population dynamics, Infectious diseases, Population genetics and evolution, Dispersal, Molecular and cellular biology, Pattern formation, and Cancer modelling. Particular attention is paid to situations where the simple assumptions of homogenity made in early models break down and the process of mathematical modelling is seen in action.

Musimathics

The Mathematical Foundations of Music
Author: Gareth Loy
Publisher: MIT Press
ISBN: 0262516551
Category: Education
Page: 504
View: 4989

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"Mathematics can be as effortless as humming a tune, if you know the tune," writes Gareth Loy. In Musimathics, Loy teaches us the tune, providing a friendly and spirited tour of the mathematics of music--a commonsense, self-contained introduction for the nonspecialist reader. It is designed for musicians who find their art increasingly mediated by technology, and for anyone who is interested in the intersection of art and science.In this volume, Loy presents the materials of music (notes, intervals, and scales); the physical properties of music (frequency, amplitude, duration, and timbre); the perception of music and sound (how we hear); and music composition. Musimathics is carefully structured so that new topics depend strictly on topics already presented, carrying the reader progressively from basic subjects to more advanced ones. Cross-references point to related topics and an extensive glossary defines commonly used terms. The book explains the mathematics and physics of music for the reader whose mathematics may not have gone beyond the early undergraduate level. Calling himself "a composer seduced into mathematics," Loy provides answers to foundational questions about the mathematics of music accessibly yet rigorously. The topics are all subjects that contemporary composers, musicians, and musical engineers have found to be important. The examples given are all practical problems in music and audio. The level of scholarship and the pedagogical approach also make Musimathics ideal for classroom use. Additional material can be found at a companion web site.

Compact Cosmos

A Journey Through Space and Time
Author: Matt Tweed
Publisher: Bloomsbury Publishing USA
ISBN: 0802714552
Category: Science
Page: 64
View: 8287

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Exploring the macrocosm from colossal galactic superclusters to quiet backwater planets, Matt Tweed offers a primer on the cosmos for anyone fascinated by the heavens. Taking a guided tour through the universe, we ride past quasars, jets, and galaxies to land on a curious world and examine an array of ideas about space and time. Tweed traces the evolution of stars and formation of planets, describing our "light bubble" and why we can't see any farther than we do. For a concise and accessible description of extra-solar planetary systems, black holes, pulsars, nebulae, great walls, dark matter, red shifts, and much more, The Compact Cosmos is an indispensable guide. Data tables, lists of cosmological constants, and distances from Earth to other bodies in space form a useful appendix.

Fourier Transforms


Author: Ian Naismith Sneddon
Publisher: Courier Corporation
ISBN: 9780486685229
Category: Mathematics
Page: 542
View: 7923

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Focusing on applications of Fourier transforms and related topics rather than theory, this accessible treatment is suitable for students and researchers interested in boundary value problems of physics and engineering. 1951 edition.

The Golden Ratio and Fibonacci Numbers


Author: Richard A Dunlap
Publisher: World Scientific
ISBN: 9814496944
Category: Mathematics
Page: 172
View: 4276

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In this invaluable book, the basic mathematical properties of the golden ratio and its occurrence in the dimensions of two- and three-dimensional figures with fivefold symmetry are discussed. In addition, the generation of the Fibonacci series and generalized Fibonacci series and their relationship to the golden ratio are presented. These concepts are applied to algorithms for searching and function minimization. The Fibonacci sequence is viewed as a one-dimensional aperiodic, lattice and these ideas are extended to two- and three-dimensional Penrose tilings and the concept of incommensurate projections. The structural properties of aperiodic crystals and the growth of certain biological organisms are described in terms of Fibonacci sequences. Contents:Basic Properties of the Golden RatioGeometric Problems in Two DimensionsGeometric Problems in Three DimensionsFibonacci NumbersLucas Numbers and Generalized Fibonacci NumbersContinued Fractions and Rational ApproximantsGeneralized Fibonacci Representation TheoremsOptimal Spacing and Search AlgorithmsCommensurate and Incommensurate ProjectionsPenrose TilingsQuasicrystallographyBiological ApplicationsConstruction of the Regular PentagonThe First 100 Fibonacci and Lucas NumbersRelationships Involving the Golden Ratio and Generalized Fibonacci Numbers Readership: Applied mathematicians. keywords:Golden Ratio;Fibonacci Numbers;Number Theory;Quasicrystallography;Tilings;Geometry;Optimization Algorithms;Numerical Sequences;Lucas Numbers;Continued Fractions;Aperiodicity;Incommensurate Structures "This attractive and carefully written book addresses the general reader with interest in mathematics and its application to the physical and biological sciences ... this one will make a valuable addition to academic and personal libraries." The Fibonacci Quarterly

Mathematical Tools for Physics


Author: James Nearing
Publisher: N.A
ISBN: 9780486482125
Category: Mathematics
Page: 485
View: 596

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Encouraging students' development of intuition, this original work begins with a review of basic mathematics and advances to infinite series, complex algebra, differential equations, Fourier series, and more. 2010 edition.

Secrets of Creation

The Mystery of the Prime Numbers
Author: Matthew Watkins
Publisher: John Hunt Publishing
ISBN: 1785351028
Category: Mathematics
Page: 362
View: 8073

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The Mystery of the Prime Numbers uses an innovative visual approach to communicate some surprisingly advanced mathematical ideas without any need for formulas or equations. The issue of prime numbers acts as a gateway into some truly strange philosophical territory whose relevance extends well beyond mathematics. The series Secrets of Creation is in three volumes: Secrets of Creation Volume 1 The Mystery of the Prime Numbers Secrets of Creation, Volume 2 The Enigma of the Spiral Waves Secrets of Creation, Volume 3 Prime Numbers, Quantum Physics and a Journey to the Centre of Your Mind

Mathematics and Art

A Cultural History
Author: Lynn Gamwell
Publisher: Princeton University Press
ISBN: 0691165289
Category: Art
Page: 576
View: 6206

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This is a cultural history of mathematics and art, from antiquity to the present. Mathematicians and artists have long been on a quest to understand the physical world they see before them and the abstract objects they know by thought alone. Taking readers on a tour of the practice of mathematics and the philosophical ideas that drive the discipline, Lynn Gamwell points out the important ways mathematical concepts have been expressed by artists. Sumptuous illustrations of artworks and cogent math diagrams are featured in Gamwell’s comprehensive exploration. Gamwell begins by describing mathematics from antiquity to the Enlightenment, including Greek, Islamic, and Asian mathematics. Then focusing on modern culture, Gamwell traces mathematicians’ search for the foundations of their science, such as David Hilbert’s conception of mathematics as an arrangement of meaning-free signs, as well as artists’ search for the essence of their craft, such as Aleksandr Rodchenko’s monochrome paintings. She shows that self-reflection is inherent to the practice of both modern mathematics and art, and that this introspection points to a deep resonance between the two fields: Kurt Gödel posed questions about the nature of mathematics in the language of mathematics and Jasper Johns asked “What is art?” in the vocabulary of art. Throughout, Gamwell describes the personalities and cultural environments of a multitude of mathematicians and artists, from Gottlob Frege and Benoît Mandelbrot to Max Bill and Xu Bing. Mathematics and Art demonstrates how mathematical ideas are embodied in the visual arts and will enlighten all who are interested in the complex intellectual pursuits, personalities, and cultural settings that connect these vast disciplines.

Mathematics for College Physics


Author: Biman Das
Publisher: Addison-Wesley
ISBN: 9780131414273
Category: Mathematics
Page: 206
View: 9276

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This book is designed to help readers get up to speed quickly on the mathematical concepts and tools needed to solve basic physics problems. Instead of a rigorous development of the concepts of mathematics (as is found in a typical math book), it describes the various mathematical concepts and tools and their direct use in physics. Almost all sections end with worked-out examples and exercises taken directly from basic physics. Algebra: Dealing with Numbers and Equations in Physics. Trigonometry: A Powerful Tool to Solve-Real-World Problems. Geometry: Dealing with Shapes and Plots. Calculus: A Way of Probing the Changing World. Vectors: Tracking the Direction of a Change. Probability and Statistics: Analysis of Data and Predicting Future from the Present. For anyone needing a quick review of math for physics applications.

Quadrivium

Number Geometry Music Heaven
Author: John Martineau
Publisher: N.A
ISBN: 9781907155048
Category: Cosmology
Page: 409
View: 1681

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Composed of six previously published works.

The Hidden Reality

Parallel Universes and the Deep Laws of the Cosmos
Author: Brian Greene
Publisher: Vintage
ISBN: 0307595250
Category: Science
Page: 384
View: 409

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The bestselling author of The Elegant Universe and The Fabric of the Cosmos tackles perhaps the most mind-bending question in modern physics and cosmology: Is our universe the only universe? There was a time when "universe" meant all there is. Everything. Yet, a number of theories are converging on the possibility that our universe may be but one among many parallel universes populating a vast multiverse. Here, Briane Greene, one of our foremost physicists and science writers, takes us on a breathtaking journey to a multiverse comprising an endless series of big bangs, a multiverse with duplicates of every one of us, a multiverse populated by vast sheets of spacetime, a multiverse in which all we consider real are holographic illusions, and even a multiverse made purely of math--and reveals the reality hidden within each. Using his trademark wit and precision, Greene presents a thrilling survey of cutting-edge physics and confronts the inevitable question: How can fundamental science progress if great swaths of reality lie beyond our reach? The Hidden Reality is a remarkable adventure through a world more vast and strange than anything we could have imagined.

Quadrivium

The Four Classical Liberal Arts of Number, Geometry, Music, & Cosmology
Author: Miranda Lundy,Anthony Ashton,Jason Martineau,Daud Sutton,John Martineau
Publisher: Walker
ISBN: 9780802778130
Category: Science
Page: 416
View: 2227

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The quadrivium—the classical curriculum—comprises the four liberal arts of number, geometry, music, and cosmology. It was studied from antiquity to the Renaissance as a way of glimpsing the nature of reality. Geometry is number in space; music is number in time; and comology expresses number in space and time. Number, music, and geometry are metaphysical truths: life across the universe investigates them; they foreshadow the physical sciences. Quadrivium is the first volume to bring together these four subjects in many hundreds of years. Composed of six successful titles in the Wooden Books series—Sacred Geometry, Sacred Number, Harmonograph, The Elements of Music, Platonic & Archimedean Solids, and A Little Book of Coincidence—it makes ancient wisdom and its astonishing interconnectedness accessible to us today. Beautifully produced in six different colors of ink, Quadrivium will appeal to anyone interested in mathematics, music, astronomy, and how the universe works.