first nonlinear system of differential and integral calculus
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first nonlinear system of differential and integral calculus

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Published by Mathco .
Written in English

Book details:

Edition Notes

Statementby M. Grossman.
ID Numbers
Open LibraryOL21674067M

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After a general survey of the problem presented by nonlinear equations, the author discusses the differential equation of the first order, following this by chapters on the Riccati equation (as a bridge between linear and nonlinear equations) and existence theorems, with special reference to Cauchy's by: The book contains a detailed account of the first non-Newtonian calculus. In this multiplicative system, the well-known geometric average is the 'natural' average, and the exponential functions play the role that the linear functions play in the classical calculus of Newton and Leibniz. May 23,  · Textbook and eTextbook are published under ISBN and Since then The First Nonlinear System of Differential and Integral Calculus textbook was available to sell back to BooksRun online for the top buyback price or rent at the The first semester covered differential calculus and the second semester with integral calculus. This book is an excellent start for a student to learn calculus. This book describe the solutions of problems in easy steps.

First Edition. There is no DJ. Cover is dark blue cloth, on boards, with much wear to the edges, corners and spine, also, there are white spots of paint on the front & spine. Spine is blue cloth with blue & silver lettering. Pages and Binding are clean and tight. There is water stain at the bottom edge of the pages. Feb 11,  · The differential and integral calculus, containing differentiation, integration, development series, differential equations, differences, summation, equations of differences, calculus of variations, definite integrals,--with applications to algebra, plane geometry, solid geometry, and mechanics by De Morgan, Augustus, [from old catalog]Pages: Calculus - by Gilbert Strang; Elements of Differential and Integral Calculus - by William Ganville and Percey Smith; Linear Algebra - by Jim Hefferon; A First Course in Linear Algebra; Other Online Textbook Resources. AMS Online Book Page; George Cain's Online Textbook Page; MIT open courseware calculus material. Nonlinear systems and phenomena, linear and almost linear I have used the well known book of Edwards and Penny [4]. Some additional proofs we studied in Calculus such as polynomial, rational, power functions, exponential, logarithmic, trigonometric, and inverse of .

The definite integral of a function f(x) > 0 from x = a to b (b > a) is defined as the area bounded by the vertical lines x = a, x = b, the x-axis and the curve y = f(x). This “area under the curve” is obtained by a limit. First, the area is approximated by a sum of rectangle areas. Second, the integral is . Mar 01,  · This book presents advanced methods of integral calculus and the classical theory of the ordinary and partial differential equations. It provides explicit solutions of linear and nonlinear differential equations and implicit solutions with discrete approximations. The differential equation in the picture above is a first order linear differential equation, with \(P(x) = 1\) and \(Q(x) = 6x^2\). We'll talk about two methods for solving these beasties. First, the long, tedious cumbersome method, and then a short-cut method using "integrating factors". rational function method and the first integral method. The first integral method is a powerful solution method for the computation of exact traveling wave solutions. This method is one of the most direct and effective algebraic methods for finding exact solutions of nonlinear partial differential equations. Different from other traditional.