Useful Mathematical and Physical Formulae

Author: Matthew Watkins

Publisher: Bloomsbury Publishing USA

ISBN: 0802713807

Category: Mathematics

Page: 64

View: 841

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.


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: 3166

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

The Formula

How Algorithms Solve All Our Problems --and Create More

Author: Luke Dormehl

Publisher: Penguin

ISBN: 0399170537

Category: Computers

Page: 278

View: 6523

Examines the world of algorithms, looking at what they are and how they are increasingly being used to solve problems and predict human behavior based on vast and ever-increasing amounts of available data.

Mathematics for the Physical Sciences

Author: Laurent Schwartz

Publisher: Courier Dover Publications

ISBN: 0486466620

Category: Mathematics

Page: 358

View: 9305

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.


Beauty in Mathematical Proof

Author: Burkard Polster

Publisher: Bloomsbury Publishing USA

ISBN: 0802714315

Category: Mathematics

Page: 58

View: 4906

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.

Essential Elements

Atoms, Quarks, and the Periodic Table

Author: Matt Tweed

Publisher: Bloomsbury Publishing USA

ISBN: 0802714080

Category: Science

Page: 58

View: 4265

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

Vectors, Tensors and the Basic Equations of Fluid Mechanics

Author: Rutherford Aris

Publisher: Courier Corporation

ISBN: 048613489X

Category: Mathematics

Page: 320

View: 9981

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: 7818

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

Cauchy’s Cours d’analyse

An Annotated Translation

Author: Robert E. Bradley,C. Edward Sandifer

Publisher: Springer Science & Business Media

ISBN: 1441905499

Category: Mathematics

Page: 412

View: 2891

In 1821, Augustin-Louis Cauchy (1789-1857) published a textbook, the Cours d’analyse, to accompany his course in analysis at the Ecole Polytechnique. It is one of the most influential mathematics books ever written. Not only did Cauchy provide a workable definition of limits and a means to make them the basis of a rigorous theory of calculus, but he also revitalized the idea that all mathematics could be set on such rigorous foundations. Today, the quality of a work of mathematics is judged in part on the quality of its rigor, and this standard is largely due to the transformation brought about by Cauchy and the Cours d’analyse. For this translation, the authors have also added commentary, notes, references, and an index.


The Mathematical Foundations of Music

Author: Gareth Loy

Publisher: MIT Press

ISBN: 0262516551

Category: Education

Page: 504

View: 7230

"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: 6900

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.

Pocket Reference

Author: N.A

Publisher: N.A

ISBN: 9781885071644

Category: Science

Page: 864

View: 2426

Fourier Transforms

Author: Ian Naismith Sneddon

Publisher: Courier Corporation

ISBN: 9780486685229

Category: Mathematics

Page: 542

View: 385

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.

God's Secret Formula

Deciphering the Riddle of the Universe and the Prime Number Code

Author: Peter Plichta

Publisher: Element Books Limited


Category: Science

Page: 218

View: 9917

Holding doctorates in chemistry, physics and biology, Peter Plichta applies his multifaceted scientific knowledge to the search for a universal building plan and makes a profound discovery. Plichta shows how a mathematical formula based on prime numbers underlies the mystery of the world. By decoding this fundamental numerical code, Plichta answers questions that have baffled mankind for ages and proves that the universe did not arise out of chance.

Wonders of Numbers

Adventures in Mathematics, Mind, and Meaning

Author: Clifford A. Pickover

Publisher: Oxford University Press

ISBN: 9780195348002

Category: Mathematics

Page: 417

View: 843

Who were the five strangest mathematicians in history? What are the ten most interesting numbers? Jam-packed with thought-provoking mathematical mysteries, puzzles, and games, Wonders of Numbers will enchant even the most left-brained of readers. Hosted by the quirky Dr. Googol--who resides on a remote island and occasionally collaborates with Clifford Pickover--Wonders of Numbers focuses on creativity and the delight of discovery. Here is a potpourri of common and unusual number theory problems of varying difficulty--each presented in brief chapters that convey to readers the essence of the problem rather than its extraneous history. Peppered throughout with illustrations that clarify the problems, Wonders of Numbers also includes fascinating "math gossip." How would we use numbers to communicate with aliens? Check out Chapter 30. Did you know that there is a Numerical Obsessive-Compulsive Disorder? You'll find it in Chapter 45. From the beautiful formula of India's most famous mathematician to the Leviathan number so big it makes a trillion look small, Dr. Googol's witty and straightforward approach to numbers will entice students, educators, and scientists alike to pick up a pencil and work a problem.

Secrets of Creation

The Mystery of the Prime Numbers

Author: Matthew Watkins

Publisher: John Hunt Publishing

ISBN: 1785351028

Category: Mathematics

Page: 362

View: 484

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

Mathematical Tools for Physics

Author: James Nearing

Publisher: N.A

ISBN: 9780486482125

Category: Mathematics

Page: 485

View: 5573

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.

Mathematics and Art

A Cultural History

Author: Lynn Gamwell

Publisher: Princeton University Press

ISBN: 0691165289

Category: Art

Page: 576

View: 7690

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: 4526

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.


Number Geometry Music Heaven

Author: John Martineau

Publisher: N.A

ISBN: 9781907155048

Category: Cosmology

Page: 409

View: 2175

Composed of six previously published works.