عنوان

The Newman Lectures on Mathematics /

1315108852

1351611283

1351611291

1351611305

9781315108858

9781351611282

9781351611299

9781351611305

9789814774253

9814774251

9789814774253

The Newman Lectures on Mathematics /

[Book]

John Newman, Vincent Battaglia.

First edition.

Pan Stanford Publishing,

2018.

1 online resource :

text file, PDF

Includes bibliographical references and index.

Cover; Half title; Title; Copyright; Contents; Introduction and Philosophical Remarks; Chapter 1. Differentiation of Integrals; Chapter 2. Linear, First-Order Differential Equations; Chapter 3. Linear Systems; Chapter 4. Linearization of Nonlinear Problems; Chapter 5. Reduction of Order; Chapter 6. Linear, Second-Order Differential Equations; Chapter 7. Euler's Equation and Equations with Constant Coefficients; 7.1 Linear Equations with Constant Coefficients; 7.2 Equidimensional Equations; Chapter 8. Series Solutions and Singular Points; Chapter 9. Legendre's Equation and Special Functions.

19.1 Solution by Separation of Variables. Series Solutions and Superposition19.2 Similarity Solution for Short Times or Thick Slabs; 19.3 Solution by the Method of Laplace Transforms; Chapter 20. Inversion of Laplace Transforms by the Method of Residues; Chapter 21. Similarity Transformations; Chapter 22. Superposition Integrals and Integral Equations; 22.1 Duhamel's Theorem; 22.2 Integral Equations; 22.3 Catalytic Reaction at a Surface; 22.4 Superposition Integral from Laplace's Equation; 22.5 Wealth of Superposition Integrals; Chapter 23. Migration in Rapid Double-Layer Charging.

Chapter 10. Laplace TransformationChapter 11. The Sturm-Liouville System; Chapter 12. Numerical Methods for Ordinary Differential Equations; Chapter 13. Vector Calculus; Chapter 14. Classification and Examples of Partial Differential Equations; 14.1 Elliptic Equations; 14.2 Parabolic Equations; 14.3 Hyperbolic Equations; Chapter 15. Steady Heat Conduction in a Rectangle; Chapter 16. Coordinate Transformations; Chapter 17. Disk Electrode in an Insulating Plane; Chapter 18. Suspension of Charged Drops; Chapter 19. Transient Temperature Distribution in a Slab.

Chapter 24. Fourier Transforms24.1 Finite Fourier Transform; 24.2 Extension to the Fourier Transform; 24.3 More General Fourier Transforms; 24.4 Diffusion from a Finite Region; 24.5 The Convolution Integral; 24.6 Finishing the Diffusion Problem; 24.7 Formal Connection with Laplace Transforms; Chapter 25. Conformal Mapping; 25.1 A Coordinate Transformation; 25.2 Analytic Functions; 25.3 Conformal Mapping; 25.4 Preserving Laplace's Equation; 25.5 The Schwarz-Christoffel Transformation; 25.6 Translating the Flux Densities; 25.7 Transformations for a Photoelectrochemical Cell.

Chapter 26. Calculus of Variations26.1 The Euler-Lagrange Formula; 26.2 Application to the Shortest Distance; 26.3 Optimization with a Constraint; 26.4 Optimization with End Points Not Fixed; 26.5 Other Examples; Further Readings; Index: Mathematics; Index: Physics.

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"Prof. Newman is considered one of the great chemical engineers of his time. His reputation derives from his mastery of all phases of the subject matter, his clarity of thought, and his ability to reduce complex problems to their essential core elements. He is a member of the National Academy of Engineering, Washington, DC, USA, and has won numerous national awards including every award offered by the Electrochemical Society, USA. His motto, as known by his colleagues, is "do it right the first time." He has been teaching undergraduate and graduate core subject courses at the University of California, Berkeley (UC Berkeley), USA, since joining the faculty in 1966. His method is to write out, in long form, everything he expects to convey to his class on a subject on any given day. He has maintained and updated his lecture notes from notepad to computer throughout his career. This book is an exact reproduction of those notes. This book shows a clean and concise way on how to use different analytical techniques to solve equations of multiple forms that one is likely to encounter in most engineering fields, especially chemical engineering. It provides the framework for formulating and solving problems in mass transport, fluid dynamics, reaction kinetics, and thermodynamics through ordinary and partial differential equations. It includes topics such as Laplace transforms, Legendres equation, vector calculus, Fourier transforms, similarity transforms, coordinate transforms, conformal mapping, variational calculus, superposition integrals, and hyperbolic equations. The simplicity of the presentation instils confidence in the readers that they can solve any problem they come across either analytically or computationally."--Provided by publisher.

Ingram Content Group

9781351611299

9781351611299

Biotechnology.

Fluid dynamics.

Fluids.

Plasma (Ionized gases)

Biotechnology.

Fluid dynamics.

Fluids.

Plasma (Ionized gases)

SCI010000

SCI055000

TEC009070

Newman, John

Battaglia, Vincent

20200822170750.0

pn

[Book]

Y