Useful Mathematical and Physical Formulae
Useful Mathematical and Physical Formulae

Author: Matthew Watkins

Publisher: Bloomsbury Publishing USA

Published: 2001-04-01

Total Pages: 68

ISBN-13: 0802713807

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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.

How to Remember Equations and Formulae
How to Remember Equations and Formulae

Author: Phil Chambers

Publisher: LTL Training Ltd

Published: 2013-08-22

Total Pages: 125

ISBN-13: 1904906044

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At last! The book that all maths and physics students have been waiting for - "How To Remember Equations And Formulae" “If you need to remember formulae of any length, for study or work, and you’d like your hand held while you master this skill effortlessly in a fun way, you should buy this book today.” Amanda Ollier, author of the Self Help Bible and The Mindset Shift Never forget an equation or formula ever again Save time in exams, get the results you really deserve Impress your tutors and potential employers Stand out against others in the job market Enhance your earning potential Perfect for anyone studying or teaching maths, physics, accountancy, economics, engineering or the sciences, from A levels right through to postgraduate. What the experts say... “This is an outstanding and comprehensive book that delivers on every promise! All memory strategies including mind mapping and the journey system are here for you to depend on and you’ll quickly realize this is your most treasured memory resource.” Pat Wyman, founder HowToLearn.com and author, Amazing Grades “I am delighted to recommend this book to students. Phil’s and James’ work is based on a sound application of the fundamental principles of memory training, namely the use of imagination, association, and location.” Dominic O’Brien, Eight times World Memory Champion, Author and Media Personality “Explains the techniques in a beautifully simple and eloquent manner.” David Thomas GMM. International speaker, Sunday Times No.1 bestselling author, media personality “What James Smith and Phil Chambers offer their readers here is a thoroughly researched and simple system, which combines mnemonics and mind mapping in a unique and interesting way. As well as covering just about every mathematical equation you can think of, James and Phil offer solutions for the English, Greek and Roman alphabets and all with a splash of humour and encouraging examples to get you started. I wish this has existed when I was at school, I will certainly be introducing this to my students and I am confident their results will improve as a direct result.” Amanda Ollier, author of The Self Help Bible and The Mindset Shift

In Pursuit of the Unknown
In Pursuit of the Unknown

Author: Ian Stewart

Publisher: Basic Books

Published: 2012-03-13

Total Pages: 225

ISBN-13: 0465029744

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The seventeen equations that form the basis for life as we know it. Most people are familiar with history's great equations: Newton's Law of Gravity, for instance, or Einstein's theory of relativity. But the way these mathematical breakthroughs have contributed to human progress is seldom appreciated. In In Pursuit of the Unknown, celebrated mathematician Ian Stewart untangles the roots of our most important mathematical statements to show that equations have long been a driving force behind nearly every aspect of our lives. Using seventeen of our most crucial equations -- including the Wave Equation that allowed engineers to measure a building's response to earthquakes, saving countless lives, and the Black-Scholes model, used by bankers to track the price of financial derivatives over time -- Stewart illustrates that many of the advances we now take for granted were made possible by mathematical discoveries. An approachable, lively, and informative guide to the mathematical building blocks of modern life, In Pursuit of the Unknown is a penetrating exploration of how we have also used equations to make sense of, and in turn influence, our world.

Soliton Equations and Hamiltonian Systems
Soliton Equations and Hamiltonian Systems

Author: Leonid A. Dickey

Publisher: World Scientific

Published: 2003

Total Pages: 428

ISBN-13: 9789812794512

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The theory of soliton equations and integrable systems has developed rapidly during the last 30 years with numerous applications in mechanics and physics. For a long time, books in this field have not been written but the flood of papers was overwhelming: many hundreds, maybe thousands of them. All this output followed one single work by Gardner, Green, Kruskal, and Mizura on the Korteweg-de Vries equation (KdV), which had seemed to be merely an unassuming equation of mathematical physics describing waves in shallow water. Besides its obvious practical use, this theory is attractive also because it satisfies the aesthetic need in a beautiful formula which is so inherent to mathematics. The second edition is up-to-date and differs from the first one considerably. One third of the book (five chapters) is completely new and the rest is refreshed and edited. Contents: Integrable Systems Generated by Linear Differential n th Order Operators; Hamiltonian Structures; Hamiltonian Structure of the GD Hierarchies; Modified KdV and GD. The KupershmidtOCoWilson Theorem; The KP Hierarchy; Baker Function, a-Function; Additional Symmetries, String Equation; Grassmannian. Algebraic-Geometrical Krichever Solutions; Matrix First-Order Operator, AKNS-D Hierarchy; Generalization of the AKNS-D Hierarchy: Single-Pole and Multi-Pole Matrix Hierarchies; Isomonodromic Deformations and the Most General Matrix Hierarchy; Tau Functions of Matrix Hierarchies; KP, Modified KP, Constrained KP, Discrete KP, and q -KP; Another Chain of KP Hierarchies and Integrals Over Matrix Varieties; Transformational Properties of a Differential Operator under Diffeomorphisms and Classical W -Algebras; Further Restrictions of the KP, Stationary Equations; Stationary Equations of the Matrix Hierarchy; Field Lagrangian and Hamiltonian Formalism; Further Examples and Applications. Readership: Applied mathematicians and mathematical physicists."

Semiclassical Soliton Ensembles for the Focusing Nonlinear Schrödinger Equation (AM-154)
Semiclassical Soliton Ensembles for the Focusing Nonlinear Schrödinger Equation (AM-154)

Author: Spyridon Kamvissis

Publisher: Princeton University Press

Published: 2003-08-18

Total Pages: 280

ISBN-13: 1400837189

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This book represents the first asymptotic analysis, via completely integrable techniques, of the initial value problem for the focusing nonlinear Schrödinger equation in the semiclassical asymptotic regime. This problem is a key model in nonlinear optical physics and has increasingly important applications in the telecommunications industry. The authors exploit complete integrability to establish pointwise asymptotics for this problem's solution in the semiclassical regime and explicit integration for the underlying nonlinear, elliptic, partial differential equations suspected of governing the semiclassical behavior. In doing so they also aim to explain the observed gradient catastrophe for the underlying nonlinear elliptic partial differential equations, and to set forth a detailed, pointwise asymptotic description of the violent oscillations that emerge following the gradient catastrophe. To achieve this, the authors have extended the reach of two powerful analytical techniques that have arisen through the asymptotic analysis of integrable systems: the Lax-Levermore-Venakides variational approach to singular limits in integrable systems, and Deift and Zhou's nonlinear Steepest-Descent/Stationary Phase method for the analysis of Riemann-Hilbert problems. In particular, they introduce a systematic procedure for handling certain Riemann-Hilbert problems with poles accumulating on curves in the plane. This book, which includes an appendix on the use of the Fredholm theory for Riemann-Hilbert problems in the Hölder class, is intended for researchers and graduate students of applied mathematics and analysis, especially those with an interest in integrable systems, nonlinear waves, or complex analysis.

Practical Power System Protection
Practical Power System Protection

Author: Leslie Hewitson

Publisher: Newnes

Published: 2005-02-28

Total Pages: 289

ISBN-13: 0750663979

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Designed to increase understanding on a practical and theoretical basis, this invaluable resource provides engineers, plant operators, electricians and technicians with a thorough grounding in the principles and practicalities behind power system protection. Coverage of the fundamental knowledge needed to specify, use and maintain power protection systems is included, helping readers to increase plant efficiency, performance and safety. Consideration is also given to the practical techniques and engineering challenges encountered on a day-to-day basis, making this an essential resource for all.

How To Derive A Formula - Volume 1: Basic Analytical Skills And Methods For Physical Scientists
How To Derive A Formula - Volume 1: Basic Analytical Skills And Methods For Physical Scientists

Author: Alexei A Kornyshev

Publisher: World Scientific

Published: 2020-02-26

Total Pages: 702

ISBN-13: 1786346362

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Will artificial intelligence solve all problems, making scientific formulae redundant? The authors of this book would argue that there is still a vital role in formulating them to make sense of the laws of nature. To derive a formula one needs to follow a series of steps; last of all, check that the result is correct, primarily through the analysis of limiting cases. The book is about unravelling this machinery.Mathematics is the 'queen of all sciences', but students encounter many obstacles in learning the subject — familiarization with the proofs of hundreds of theorems, mysterious symbols, and technical routines for which the usefulness is not obvious upfront. Those interested in the physical sciences could lose motivation, not seeing the wood for the trees.How to Derive a Formula is an attempt to engage these learners, presenting mathematical methods in simple terms, with more of an emphasis on skills as opposed to technical knowledge. Based on intuition and common sense rather than mathematical rigor, it teaches students from scratch using pertinent examples, many taken across the physical sciences.This book provides an interesting new perspective of what a mathematics textbook could be, including historical facts and humour to complement the material.