Author: Publisher:
ISBN:
Category : Research
Languages : en
Pages : 948
Book Description
Government Reports Announcements
Government Reports Announcements & Index
Author: Contents of Contemporary Mathematical Journals
Author: Bibliography of Scientific and Industrial Reports
Author: Qualitative Analysis of Nonlinear Elliptic Partial Differential Equations
Author: Vicentiu D. RadulescuPublisher: Hindawi Publishing Corporation
ISBN: 9774540395
Category : Differential equations, Elliptic
Languages : en
Pages : 205
Book Description
This book provides a comprehensive introduction to the mathematical theory of nonlinear problems described by elliptic partial differential equations. These equations can be seen as nonlinear versions of the classical Laplace equation, and they appear as mathematical models in different branches of physics, chemistry, biology, genetics, and engineering and are also relevant in differential geometry and relativistic physics. Much of the modern theory of such equations is based on the calculus of variations and functional analysis. Concentrating on single-valued or multivalued elliptic equations with nonlinearities of various types, the aim of this volume is to obtain sharp existence or nonexistence results, as well as decay rates for general classes of solutions. Many technically relevant questions are presented and analyzed in detail. A systematic picture of the most relevant phenomena is obtained for the equations under study, including bifurcation, stability, asymptotic analysis, and optimal regularity of solutions. The method of presentation should appeal to readers with different backgrounds in functional analysis and nonlinear partial differential equations. All chapters include detailed heuristic arguments providing thorough motivation of the study developed later on in the text, in relationship with concrete processes arising in applied sciences. A systematic description of the most relevant singular phenomena described in this volume includes existence (or nonexistence) of solutions, unicity or multiplicity properties, bifurcation and asymptotic analysis, and optimal regularity. The book includes an extensive bibliography and a rich index, thus allowing for quick orientation among the vast collection of literature on the mathematical theory of nonlinear phenomena described by elliptic partial differential equations.
Discrete Encounters
Author: Craig BauerPublisher: CRC Press
ISBN: 0429682883
Category : Mathematics
Languages : en
Pages : 740
Book Description
Eschewing the often standard dry and static writing style of traditional textbooks, Discrete Encounters provides a refreshing approach to discrete mathematics. The author blends traditional course topics and applications with historical context, pop culture references, and open problems. This book focuses on the historical development of the subject and provides fascinating details of the people behind the mathematics, along with their motivations, deepening readers’ appreciation of mathematics. This unique book covers many of the same topics found in traditional textbooks, but does so in an alternative, entertaining style that better captures readers’ attention. In addition to standard discrete mathematics material, the author shows the interplay between the discrete and the continuous and includes high-interest topics such as fractals, chaos theory, cellular automata, money-saving financial mathematics, and much more. Not only will readers gain a greater understanding of mathematics and its culture, they will also be encouraged to further explore the subject. Long lists of references at the end of each chapter make this easy. Highlights: Features fascinating historical context to motivate readers Text includes numerous pop culture references throughout to provide a more engaging reading experience Its unique topic structure presents a fresh approach The text’s narrative style is that of a popular book, not a dry textbook Includes the work of many living mathematicians Its multidisciplinary approach makes it ideal for liberal arts mathematics classes, leisure reading, or as a reference for professors looking to supplement traditional courses Contains many open problems Profusely illustrated
Government Reports Index
Author: Publisher:
ISBN:
Category : Government publications
Languages : en
Pages : 1896
Book Description
Proceedings of the Conference on Differential & Difference Equations and Applications
Author: Ravi P. AgarwalPublisher: Hindawi Publishing Corporation
ISBN: 9789775945389
Category : Difference equations
Languages : en
Pages : 1266
Book Description
Indiana University Mathematics Journal
Author: Indiana University. Dept. of MathematicsPublisher:
ISBN:
Category : Electronic journals
Languages : en
Pages : 636
Book Description
Indiana University Libraries, Bloomington Serials Holdings, 1985
Author: Indiana University. LibrariesPublisher:
ISBN:
Category : Periodicals
Languages : en
Pages : 1216
Book Description