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Elements of Partial Differential Equations
Ian N. Sneddon - 2006
It emphasizes forms suitable for students and researchers whose interest lies in solving equations rather than in general theory. Solutions to odd-numbered problems appear at the end. 1957 edition.
How Long Is a Piece of String?: More Hidden Mathematics of Everyday Life
Rob Eastaway - 2002
Discover the astonishing 37% rule for blind dates, the avoidance tactics of the gentleman's urinal, and some extraordinary scams that have been devised to get rich quick. Also included are the origins of the seven-day week and the seven-note scale, an explanation of why underdogs win, clever techniques for detecting fraud, and the reason why epidemics sweep across a nation and disappear just as quickly. Whatever your mathematical ability, this fun, thought-provoking book will illuminate the ways in which math underlies so much in our everyday lives.
Mathematics of Classical and Quantum Physics
Frederick W. Byron Jr. - 1969
Organized around the central concept of a vector space, the book includes numerous physical applications in the body of the text as well as many problems of a physical nature. It is also one of the purposes of this book to introduce the physicist to the language and style of mathematics as well as the content of those particular subjects with contemporary relevance in physics.Chapters 1 and 2 are devoted to the mathematics of classical physics. Chapters 3, 4 and 5 — the backbone of the book — cover the theory of vector spaces. Chapter 6 covers analytic function theory. In chapters 7, 8, and 9 the authors take up several important techniques of theoretical physics — the Green's function method of solving differential and partial differential equations, and the theory of integral equations. Chapter 10 introduces the theory of groups. The authors have included a large selection of problems at the end of each chapter, some illustrating or extending mathematical points, others stressing physical application of techniques developed in the text.Essentially self-contained, the book assumes only the standard undergraduate preparation in physics and mathematics, i.e. intermediate mechanics, electricity and magnetism, introductory quantum mechanics, advanced calculus and differential equations. The text may be easily adapted for a one-semester course at the graduate or advanced undergraduate level.
The Productive Researcher
Mark S. Reed - 2017
He draws on interviews with some of the world’s highest performing researchers, the literature and his own experience to identify a small number of important insights that can transform how researchers work. The book is based on an unparalleled breadth of interdisciplinary evidence that speaks directly to researchers of all disciplines and career stages. The lessons in this book will make you more productive, more satisfied with what you produce, and enable you to be happy working less, and being more. The hardback edition has the title and design imprinted on a fabric cover, hand crafted by a book maker in Yorkshire. It contains spectacular colour photography throughout. Chapters are accompanied by close-up images of trees that build up to the forest metaphor that concludes the book. These are bookended by wide perspective canopy images that accompany the front matter (from which the cover design is derived) and concluding chapter. The overall effect is a touch and feel that makes this a book to savour. Mark Reed is Professor of Socio-Technical Innovation at Newcastle University and Visiting Professor at Birmingham City University and the University of Leeds. He has over 140 publications that have been cited more than 10,000 times. He is author of The Research Impact Handbook, which he has used to train over 4000 researchers from more than 200 institutions in 55 countries.
Mathematical Analysis
Tom M. Apostol - 1957
It provides a transition from elementary calculus to advanced courses in real and complex function theory and introduces the reader to some of the abstract thinking that pervades modern analysis.
Zeno's Paradox: Unraveling the Ancient Mystery Behind the Science of Space and Time
Joseph Mazur - 2008
Today, these paradoxes remain on the cutting edge of our investigations into the fabric of space and time. Zeno's Paradox uses the motion paradox as a jumping-off point for an exploration of the twenty-five-hundred-year quest to uncover the true nature of the universe. From Galileo to Einstein to Stephen Hawking, some of the greatest minds in history have tackled the problem and made spectacular breakthroughs, but through it all, the paradox of motion remains.
Spacetime Physics
Edwin F. Taylor - 1966
Written by two of the field's true pioneers, Spacetime Physics can extend and enhance coverage of specialty relativity in the classroom. This thoroughly up-to-date, highly accessible overview covers microgravity, collider accelerators, satellite probes, neutron detectors, radioastronomy, and pulsars. The chapter on general relativity with new material on gravity waves, black holes, and cosmology.
Mathematical Methods in the Physical Sciences
Mary L. Boas - 1967
Intuition and computational abilities are stressed. Original material on DE and multiple integrals has been expanded.
Mathematics: The Core Course For A Level (Core Course)
Linda Bostock - 1981
Worked examples and exercises support the text. An ELBS/LPBB edition is available.
Introduction to Quantum Mechanics
David J. Griffiths - 1994
The book s two-part coverage organizes topics under basic theory, and assembles an arsenal of approximation schemes with illustrative applications. For physicists and engineers. "
Origami Design Secrets: Mathematical Methods for an Ancient Art
Robert J. Lang - 2003
Lang, one of the worlds foremost origami artists and scientists, presents the never-before-described mathematical and geometric principles that allow anyone to design original origami, something once restricted to an elite few. From the theoretical underpinnings to detailed step-by-step folding sequences, this book takes a modern look at the centuries-old art of origami.
Spacetime and Geometry: An Introduction to General Relativity
Sean Carroll - 2003
With an accessible and lively writing style, it introduces modern techniques to what can often be a formal and intimidating subject. Readers are led from the physics of flat spacetime (special relativity), through the intricacies of differential geometry and Einstein's equations, and on to exciting applications such as black holes, gravitational radiation, and cosmology.
University Physics with Modern Physics
Hugh D. Young - 1949
Offering time-tested problems, conceptual and visual pedagogy, and a state-of-the-art media package, this 11th edition looks to the future of university physics, in terms of both content and approach.
Linear Algebra and Its Applications [with CD-ROM]
David C. Lay - 1993