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010 _z 2018043878
020 _a9781786346353
_q(ebook)
020 _a1786346354
_q(ebook)
020 _z9781786346346
_q(hbk.)
020 _z1786346346
_q(hbk.)
020 _z9781786346445
_q(pbk.)
020 _z1786346443
_q(pbk.)
050 0 4 _aQA41
_b.K66 2020
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072 7 _aMAT
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082 0 4 _a510.212
_223
100 1 _aKornyshev, A. A.
_q(Alexei A.)
_921334
245 1 0 _aHow to derive a formula.
_nVolume 1,
_pBasic analytical skills and methods for physical scientists
_h[electronic resource] /
_cby Alexei Kornyshev, Dominic O' Lee.
260 _aSingapore ;
_aLondon ;
_aHackensack, NJ :
_bWorld Scientific,
_c[2020]
300 _a1 online resource (xxxvi, 665 p.)
490 1 _aEssential textbooks in physics
538 _aMode of access: World Wide Web.
538 _aSystem requirements: Adobe Acrobat Reader.
520 _a"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"--Publisher's website.
505 0 _aPreface -- Introduction -- From base camp : understanding functions and variables : the first stage. Essential functions. Polynomial expansions : when they work and when they don't. Limits, differentiation and integration. The way to check yourself: Analysis of limiting cases. Definite integrals as functions. Probability distribution functions, and filter functions as limiting cases. Vectors and introduction to vector calculus. Understanding sequences and series. Complex numbers. Dimensionality and scaling. Concluding remarks. Problems -- From camp 1 : deeper understanding of functions and solving equations. Introduction to functions of two or more variables. Fourier series and integrals. Linear equations and determinants. Matrices and symmetry. Solving nonlinear equations, algebraic and transcendental. Introduction to ordinary differential equations. Further methods for evaluating the integrals and the gamma function. Functions of a complex variable -- Concluding remarks -- Problems -- Instructions to access the outlines of solutions.
650 0 _aMathematics
_vFormulae.
_921335
655 0 _aElectronic books.
_93294
700 1 _aLee, Dominic J. O'.
_921336
830 0 _aEssential textbooks in physics.
_921337
856 4 0 _uhttps://www.worldscientific.com/worldscibooks/10.1142/q0189#t=toc
_zAccess to full text is restricted to subscribers.
942 _cEBK
999 _c72829
_d72829