Maximum and Minimum Principles

Maximum and Minimum Principles
Author: M. J. Sewell
Publisher: CUP Archive
Total Pages: 496
Release: 1987-12-17
Genre: Mathematics
ISBN: 9780521332446

This book provides a unified account of the theory required to establish upper and lower bounds.

The Maximum Principle

The Maximum Principle
Author: Patrizia Pucci
Publisher: Springer Science & Business Media
Total Pages: 240
Release: 2007-12-23
Genre: Mathematics
ISBN: 3764381450

Maximum principles are bedrock results in the theory of second order elliptic equations. This principle, simple enough in essence, lends itself to a quite remarkable number of subtle uses when combined appropriately with other notions. Intended for a wide audience, the book provides a clear and comprehensive explanation of the various maximum principles available in elliptic theory, from their beginning for linear equations to recent work on nonlinear and singular equations.

Dictionary of Scientific Principles

Dictionary of Scientific Principles
Author: Stephen Marvin
Publisher: John Wiley & Sons
Total Pages: 734
Release: 2012-11-27
Genre: Science
ISBN: 111858239X

Dictionary of Scientific Principles presents a unique and timeless collection of (almost) all known rules or laws commonly called principles, identified throughout the history of scientific development, their definition, and use. Exploring a broad range of disciplines, the book first lists more than 2,000 principles organized in a standard alphabetical order, then provides a list of subject headings for which related principles are identified. A staple addition to every library, the dictionary will also be of interest to scientists and general readers.

Theory and Applications of Non-integer Order Systems

Theory and Applications of Non-integer Order Systems
Author: Artur Babiarz
Publisher: Springer
Total Pages: 497
Release: 2016-09-15
Genre: Technology & Engineering
ISBN: 3319454749

This book collects papers from the 8th Conference on Non-Integer Order Calculus and Its Applications that have been held on September 20-21, 2016 in Zakopane, Poland. The preceding two conferences were held in Szczecin, Poland in 2015, and in Opole, Poland, in 2014. This conference provides a platform for academic exchange on the theory and application of fractional calculus between domestic and international universities, research institutes, corporate experts and scholars. The Proceedings of the 8th Conference on Non-Integer Order Calculus and Its Applications 2016 brings together rigorously reviewed contributions from leading international experts. The included papers cover novel various important aspects of mathematical foundations of fractional calculus, modeling and control of fractional systems as well as controllability, detectability, observability and stability problems for this systems.

Dictionary of Global Bioethics

Dictionary of Global Bioethics
Author: Henk ten Have
Publisher: Springer Nature
Total Pages: 1063
Release: 2021-05-26
Genre: Philosophy
ISBN: 3030541614

This Dictionary presents a broad range of topics relevant in present-day global bioethics. With more than 500 entries, this dictionary covers organizations working in the field of global bioethics, international documents concerning bioethics, personalities that have played a role in the development of global bioethics, as well as specific topics in the field.The book is not only useful for students and professionals in global health activities, but can also serve as a basic tool that explains relevant ethical notions and terms. The dictionary furthers the ideals of cosmopolitanism: solidarity, equality, respect for difference and concern with what human beings- and specifically patients - have in common, regardless of their backgrounds, hometowns, religions, gender, etc. Global problems such as pandemic diseases, disasters, lack of care and medication, homelessness and displacement call for global responses.This book demonstrates that a moral vision of global health is necessary and it helps to quickly understand the basic ideas of global bioethics.

Variational Principles in Dynamics and Quantum Theory

Variational Principles in Dynamics and Quantum Theory
Author: Wolfgang Yourgrau
Publisher: Courier Corporation
Total Pages: 222
Release: 2012-04-26
Genre: Science
ISBN: 0486151131

DIVHistorical, theoretical survey with many insights, much hard-to-find material. Hamilton’s principle, Hamilton-Jacobi equation, etc. /div

Basic Partial Differential Equations

Basic Partial Differential Equations
Author: David. Bleecker
Publisher: CRC Press
Total Pages: 765
Release: 2018-01-18
Genre: Mathematics
ISBN: 1351078534

Methods of solution for partial differential equations (PDEs) used in mathematics, science, and engineering are clarified in this self-contained source. The reader will learn how to use PDEs to predict system behaviour from an initial state of the system and from external influences, and enhance the success of endeavours involving reasonably smooth, predictable changes of measurable quantities. This text enables the reader to not only find solutions of many PDEs, but also to interpret and use these solutions. It offers 6000 exercises ranging from routine to challenging. The palatable, motivated proofs enhance understanding and retention of the material. Topics not usually found in books at this level include but examined in this text: the application of linear and nonlinear first-order PDEs to the evolution of population densities and to traffic shocks convergence of numerical solutions of PDEs and implementation on a computer convergence of Laplace series on spheres quantum mechanics of the hydrogen atom solving PDEs on manifolds The text requires some knowledge of calculus but none on differential equations or linear algebra.

Partial Differential Equations

Partial Differential Equations
Author: A. K. Nandakumaran
Publisher: Cambridge University Press
Total Pages:
Release: 2020-10-29
Genre: Mathematics
ISBN: 1108963498

Suitable for both senior undergraduate and graduate students, this is a self-contained book dealing with the classical theory of the partial differential equations through a modern approach; requiring minimal previous knowledge. It represents the solutions to three important equations of mathematical physics – Laplace and Poisson equations, Heat or diffusion equation, and wave equations in one and more space dimensions. Keen readers will benefit from more advanced topics and many references cited at the end of each chapter. In addition, the book covers advanced topics such as Conservation Laws and Hamilton-Jacobi Equation. Numerous real-life applications are interspersed throughout the book to retain readers' interest.

Harmonic Function Theory

Harmonic Function Theory
Author: Sheldon Axler
Publisher: Springer Science & Business Media
Total Pages: 266
Release: 2013-11-11
Genre: Mathematics
ISBN: 1475781377

This book is about harmonic functions in Euclidean space. This new edition contains a completely rewritten chapter on spherical harmonics, a new section on extensions of Bochers Theorem, new exercises and proofs, as well as revisions throughout to improve the text. A unique software package supplements the text for readers who wish to explore harmonic function theory on a computer.