"By covering a carefully selected subset of topics, offering detailed explanations and examples, and with the occasional assistance of technology, this book aims to introduce undergraduate students to a subject normally only encountered by graduate students and researchers. Because of its interdisciplinary nature (bringing together different branches of mathematics as well as having connections to science and engineering), it is hoped that this book would be ideal for a one semester special topics class,"capstone" or reading course."--
Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.
Alex Kasman, College of Charleston, SC.
„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.
Anbieter: Bookbot, Prague, Tschechien
Softcover. Zustand: As New. Originalverpackt. This book challenges and intrigues from beginning to end, making it ideal for a capstone course or senior seminar. Solitons, nonlinear waves that behave like interacting particles, were initially dismissed by leading mathematical physicists in the 19th century. Today, they are observed in nature, illuminating phenomena such as rogue waves and DNA transcription. Engineers utilize solitons of light for data transmission and optical switches. Unlike most nonlinear partial differential equations, soliton equations are exactly solvable, offering explicit solutions that reveal the possibilities within nonlinearity. The text explores the connections uncovered over the last fifty years that elucidate these mathematical objects, presenting the algebro-geometric structure of soliton equations as a sophisticated explanation for their existence. The book introduces the KdV Equation and its multisoliton solutions, elliptic curves, differential operators, Lax Pairs, the KP Hierarchy, and Sato's theory linking the Bilinear KP Equation to Grassmannian geometry, all while assuming a background in multivariable calculus and linear algebra. Notable features include a careful selection of topics, detailed explanations, numerous examples, thought-provoking exercises, and the use of Mathematica® for computation. The second edition refines the exposition, adds homework exercises, updates references, and expands the chapter on KdV multisolitons with. Artikel-Nr. 9bade4f4-7c09-46c3-aef5-353085abc6e1
Anzahl: 1 verfügbar
Anbieter: PBShop.store UK, Fairford, GLOS, Vereinigtes Königreich
PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Artikel-Nr. FW-9781470472627
Anzahl: 3 verfügbar
Anbieter: Revaluation Books, Exeter, Vereinigtes Königreich
Paperback. Zustand: Brand New. 2nd edition. 347 pages. 8.50x5.67x0.83 inches. In Stock. Artikel-Nr. __1470472627
Anzahl: 2 verfügbar
Anbieter: Majestic Books, Hounslow, Vereinigtes Königreich
Zustand: New. Artikel-Nr. 399765279
Anzahl: 3 verfügbar
Anbieter: Kennys Bookstore, Olney, MD, USA
Zustand: New. 2023. 2nd Edition. paperback. . . . . . Books ship from the US and Ireland. Artikel-Nr. V9781470472627
Anzahl: 1 verfügbar
Anbieter: Ria Christie Collections, Uxbridge, Vereinigtes Königreich
Zustand: New. In English. Artikel-Nr. ria9781470472627_new
Anzahl: 4 verfügbar
Anbieter: AHA-BUCH GmbH, Einbeck, Deutschland
Taschenbuch. Zustand: Neu. Neuware - Solitons are nonlinear waves which behave like interacting particles. When first proposed in the 19th century, leading mathematical physicists denied that such a thing could exist. Now they are regularly observed in nature, shedding light on phenomena like rogue waves and DNA transcription. Solitons of light are even used by engineers for data transmission and optical switches. Furthermore, unlike most nonlinear partial differential equations, soliton equations have the remarkable property of being exactly solvable. Explicit solutions to those equations provide a rare window into what is possible in the realm of nonlinearity.Glimpses of Soliton Theory reveals the hidden connections discovered over the last half-century that explain the existence of these mysterious mathematical objects. It aims to convince the reader that, like the mirrors and hidden pockets used by magicians, the underlying algebro-geometric structure of soliton equations provides an elegant explanation of something seemingly miraculous.Assuming only multivariable calculus and linear algebra, the book introduces the reader to the KdV Equation and its multisoliton solutions, elliptic curves and Weierstrass $wp$-functions, the algebra of differential operators, Lax Pairs and their use in discovering other soliton equations, wedge products and decomposability, the KP Hierarchy, and Sato's theory relating the Bilinear KP Equation to the geometry of Grassmannians.Notable features of the book include: careful selection of topics and detailed explanations to make the subject accessible to undergraduates, numerous worked examples and thought-provoking exercises, footnotes and lists of suggested readings to guide the interested reader to more information, and use of MathematicaR to facilitate computation and animate solutions.The second edition refines the exposition in every chapter, adds more homework exercises and projects, updates references, and includes new examples involving non-commutative integrable systems. Moreover, the chapter on KdV multisolitons has been greatly expanded with new theorems providing a thorough analysis of their behavior and decomposition. Artikel-Nr. 9781470472627
Anzahl: 2 verfügbar
Anbieter: moluna, Greven, Deutschland
Zustand: New. Artikel-Nr. 2148729750
Anzahl: 1 verfügbar
Anbieter: preigu, Osnabrück, Deutschland
Taschenbuch. Zustand: Neu. Glimpses of Soliton Theory | The Algebra and Geometry of Nonlinear PDEs | Alex Kasman | Taschenbuch | Student Mathematical Library | Einband - flex.(Paperback) | Englisch | 2023 | American Mathematical Society | EAN 9781470472627 | Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, 36244 Bad Hersfeld, gpsr[at]libri[dot]de | Anbieter: preigu. Artikel-Nr. 132536990
Anzahl: 1 verfügbar
Anbieter: BUCHSERVICE / ANTIQUARIAT Lars Lutzer, Wahlstedt, Deutschland
Zustand: gut. 2023. Student Mathematical Library - 100: Glimpses of Soliton Theory: The Algebra and Geometry of Nonlinear PDEs, Second Edition (Originalverpackt) In englischer Sprache. pages. Artikel-Nr. BN543808
Anzahl: 1 verfügbar