Advanced Engineering Mathematics

Advanced Engineering Mathematics PDF Author: Michael Greenberg
Publisher:
ISBN: 9781292042541
Category : Engineering mathematics
Languages : en
Pages : 1344

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Book Description
Appropriate for one- or two-semester Advanced Engineering Mathematics courses in departments of Mathematics and Engineering. This clear, pedagogically rich book develops a strong understanding of the mathematical principles and practices that today's engineers and scientists need to know. Equally effective as either a textbook or reference manual, it approaches mathematical concepts from a practical-use perspective making physical applications more vivid and substantial. Its comprehensive instructional framework supports a conversational, down-to-earth narrative style offering easy accessibility and frequent opportunities for application and reinforcement.

Advanced Engineering Mathematics

Advanced Engineering Mathematics PDF Author: Michael Greenberg
Publisher:
ISBN: 9781292042541
Category : Engineering mathematics
Languages : en
Pages : 1344

Get Book Here

Book Description
Appropriate for one- or two-semester Advanced Engineering Mathematics courses in departments of Mathematics and Engineering. This clear, pedagogically rich book develops a strong understanding of the mathematical principles and practices that today's engineers and scientists need to know. Equally effective as either a textbook or reference manual, it approaches mathematical concepts from a practical-use perspective making physical applications more vivid and substantial. Its comprehensive instructional framework supports a conversational, down-to-earth narrative style offering easy accessibility and frequent opportunities for application and reinforcement.

Orthogonal Polynomials

Orthogonal Polynomials PDF Author: Gabor Szegš
Publisher: American Mathematical Soc.
ISBN: 0821810235
Category : Mathematics
Languages : en
Pages : 448

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Book Description
The general theory of orthogonal polynomials was developed in the late 19th century from a study of continued fractions by P. L. Chebyshev, even though special cases were introduced earlier by Legendre, Hermite, Jacobi, Laguerre, and Chebyshev himself. It was further developed by A. A. Markov, T. J. Stieltjes, and many other mathematicians. The book by Szego, originally published in 1939, is the first monograph devoted to the theory of orthogonal polynomials and its applications in many areas, including analysis, differential equations, probability and mathematical physics. Even after all the years that have passed since the book first appeared, and with many other books on the subject published since then, this classic monograph by Szego remains an indispensable resource both as a textbook and as a reference book. It can be recommended to anyone who wants to be acquainted with this central topic of mathematical analysis.

Elementary Differential Equations with Boundary Value Problems

Elementary Differential Equations with Boundary Value Problems PDF Author: William F. Trench
Publisher: Thomson Brooks/Cole
ISBN:
Category : Mathematics
Languages : en
Pages : 764

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Book Description
Written in a clear and accurate language that students can understand, Trench's new book minimizes the number of explicitly stated theorems and definitions. Instead, he deals with concepts in a conversational style that engages students. He includes more than 250 illustrated, worked examples for easy reading and comprehension. One of the book's many strengths is its problems, which are of consistently high quality. Trench includes a thorough treatment of boundary-value problems and partial differential equations and has organized the book to allow instructors to select the level of technology desired. This has been simplified by using symbols, C and L, to designate the level of technology. C problems call for computations and/or graphics, while L problems are laboratory exercises that require extensive use of technology. Informal advice on the use of technology is included in several sections and instructors who prefer not to emphasize technology can ignore these exercises without interrupting the flow of material.

Differential Equations with Boundary-value Problems

Differential Equations with Boundary-value Problems PDF Author: Dennis G. Zill
Publisher:
ISBN: 9780534420741
Category : Boundary value problems
Languages : en
Pages : 619

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Book Description
Now enhanced with the innovative DE Tools CD-ROM and the iLrn teaching and learning system, this proven text explains the "how" behind the material and strikes a balance between the analytical, qualitative, and quantitative approaches to the study of differential equations. This accessible text speaks to students through a wealth of pedagogical aids, including an abundance of examples, explanations, "Remarks" boxes, definitions, and group projects. This book was written with the student's understanding firmly in mind. Using a straightforward, readable, and helpful style, this book provides a thorough treatment of boundary-value problems and partial differential equations.

A First Course in Differential Equations with Modeling Applications

A First Course in Differential Equations with Modeling Applications PDF Author: Dennis G. Zill
Publisher:
ISBN: 9789814040198
Category : Differential equations
Languages : en
Pages : 387

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Book Description


Wavelet Analysis on the Sphere

Wavelet Analysis on the Sphere PDF Author: Sabrine Arfaoui
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110481243
Category : Mathematics
Languages : en
Pages : 186

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Book Description
The goal of this monograph is to develop the theory of wavelet harmonic analysis on the sphere. By starting with orthogonal polynomials and functional Hilbert spaces on the sphere, the foundations are laid for the study of spherical harmonics such as zonal functions. The book also discusses the construction of wavelet bases using special functions, especially Bessel, Hermite, Tchebychev, and Gegenbauer polynomials.

Tables of the Bessel Functions Y0(x), Y1(x), K0(x), K1(x)

Tables of the Bessel Functions Y0(x), Y1(x), K0(x), K1(x) PDF Author: National Applied Mathematics Laboratories (U.S.). Computation Laboratory
Publisher:
ISBN:
Category : Bessel functions
Languages : en
Pages : 76

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Book Description


Tables of the Bessel Functions, Y0(x), Y1(x), K0(x), K1(x), 0 [less Than Or Equal To] X [less Than Or Equal To] 1

Tables of the Bessel Functions, Y0(x), Y1(x), K0(x), K1(x), 0 [less Than Or Equal To] X [less Than Or Equal To] 1 PDF Author: United States. National Bureau of Standards. Computation Laboratory
Publisher:
ISBN:
Category : Bessel functions
Languages : en
Pages : 76

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Book Description


New Trends in Nanotechnology and Fractional Calculus Applications

New Trends in Nanotechnology and Fractional Calculus Applications PDF Author: Dumitru Baleanu
Publisher: Springer Science & Business Media
ISBN: 9048132932
Category : Technology & Engineering
Languages : en
Pages : 518

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Book Description
In recent years fractional calculus has played an important role in various fields such as mechanics, electricity, chemistry, biology, economics, modeling, identification, control theory and signal processing. The scope of this book is to present the state of the art in the study of fractional systems and the application of fractional differentiation. Furthermore, the manufacture of nanowires is important for the design of nanosensors and the development of high-yield thin films is vital in procuring clean solar energy. This wide range of applications is of interest to engineers, physicists and mathematicians.

An Introduction to Dynamical Systems and Chaos

An Introduction to Dynamical Systems and Chaos PDF Author: G.C. Layek
Publisher: Springer
ISBN: 8132225562
Category : Mathematics
Languages : en
Pages : 632

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Book Description
The book discusses continuous and discrete systems in systematic and sequential approaches for all aspects of nonlinear dynamics. The unique feature of the book is its mathematical theories on flow bifurcations, oscillatory solutions, symmetry analysis of nonlinear systems and chaos theory. The logically structured content and sequential orientation provide readers with a global overview of the topic. A systematic mathematical approach has been adopted, and a number of examples worked out in detail and exercises have been included. Chapters 1–8 are devoted to continuous systems, beginning with one-dimensional flows. Symmetry is an inherent character of nonlinear systems, and the Lie invariance principle and its algorithm for finding symmetries of a system are discussed in Chap. 8. Chapters 9–13 focus on discrete systems, chaos and fractals. Conjugacy relationship among maps and its properties are described with proofs. Chaos theory and its connection with fractals, Hamiltonian flows and symmetries of nonlinear systems are among the main focuses of this book. Over the past few decades, there has been an unprecedented interest and advances in nonlinear systems, chaos theory and fractals, which is reflected in undergraduate and postgraduate curricula around the world. The book is useful for courses in dynamical systems and chaos, nonlinear dynamics, etc., for advanced undergraduate and postgraduate students in mathematics, physics and engineering.