{"title":"Gerald Teschl","description":null,"products":[{"product_id":"ordinary-differential-equations-and-dynamical-systems-book-gerald-teschl-9780821883280","title":"Ordinary Differential Equations and Dynamical Systems","description":"Provides a self-contained introduction to ordinary differential equations and dynamical systems suitable for beginning graduate students. It contains almost three hundred exercises. Additionally, the use of mathematical software systems is incorporated throughout, showing how they can help in the study of differential equations.","brand":"WoB","offers":[{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":49957188632849,"sku":"GOR013823122","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ GOOD \/ SBYB","offer_id":54054517145873,"sku":"CIN0821883283G","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0821883283.jpg?v=1787653271"},{"product_id":"ordinary-differential-equations-and-dynamical-systems-book-gerald-teschl-9781470476410","title":"Ordinary Differential Equations and Dynamical Systems","description":"This book provides a self-contained introduction to ordinary differential equations and dynamical systems suitable for beginning graduate students. The first part begins with some simple examples of explicitly solvable equations and a first glance at qualitative methods. Then the fundamental results concerning the initial value problem are proved: existence, uniqueness, extensibility, dependence on initial conditions. Furthermore, linear equations are considered, including the Floquet theorem, and some perturbation results. As somewhat independent topics, the Frobenius method for linear equations in the complex domain is established and Sturm-Liouville boundary value problems, including oscillation theory, are investigated. The second part introduces the concept of a dynamical system. The Poincare-Bendixson theorem is proved, and several examples of planar systems from classical mechanics, ecology, and electrical engineering are investigated. Moreover, attractors, Hamiltonian systems, the KAM theorem, and periodic solutions are discussed. Finally, stability is studied, including the stable manifold and the Hartman-Grobman theorem for both continuous and discrete systems. The third part introduces chaos, beginning with the basics for iterated interval maps and ending with the Smale-Birkhoff theorem and the Melnikov method for homoclinic orbits. The text contains almost three hundred exercises. Additionally, the use of mathematical software systems is incorporated throughout, showing how they can help in the study of differential equations. Ancillaries: Corrections -- Updates (Errata)Instructor's Manual","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":50630823084305,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ GARDNERS","offer_id":50630826885393,"sku":"NGR9781470476410","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/147047641X.jpg?v=1790208134"},{"product_id":"mathematik-fur-informatiker-book-gerald-teschl-9783642542732","title":"Mathematik Fur Informatiker","description":"Elementare Funktionen.- Differentialrechnung I.- Differentialrechnung II.- Integralrechnung.- Fourierreihen.- Differentialrechnung in mehreren Variablen.- Differentialgleichungen.- Beschreibende Statistik und Zusammenhangsanalysen.- Elementare Wahrscheinlichkeitsrechnung.- Zufallsvariablen.- Spezielle diskrete Verteilungen.- Spezielle stetige Verteilungen.- Schlie ende Statistik.","brand":"WoB","offers":[{"title":"- \/ - \/ -","offer_id":51118304624913,"sku":"","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":51118306427153,"sku":"NIN9783642542732","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52680536817937,"sku":"NLS9783642542732","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/3642542735.jpg?v=1751159076"},{"product_id":"mathematik-fur-informatiker-book-gerald-teschl-9783642379710","title":"Mathematik Fur Informatiker","description":"In diesem Lehrbuch werden die mathematischen Grundlagen exakt und dennoch anschaulich und gut nachvollziehbar vermittelt. Sie werden durchgehend anhand zahlreicher Musterbeispiele illustriert, durch Anwendungen in der Informatik motiviert und durch historische Hintergründe oder Ausblicke in angrenzende Themengebiete aufgelockert. Am Ende jedes Kapitels befinden sich Kontrollfragen, die das Verständnis testen und typische Fehler bzw. Missverständnisse ausräumen. Zusätzlich helfen zahlreiche Aufwärmübungen (mit vollständigem Lösungsweg) und weiterführende Übungsaufgaben das Erlernte zu festigen und praxisrelevant umzusetzen. Dieses Lehrbuch ist daher auch sehr gut zum Selbststudium geeignet. Ergänzend wird in eigenen Abschnitten das Computeralgebrasystem Mathematica vorgestellt und eingesetzt, wodurch der Lehrstoff visualisiert und somit das Verständnis erleichtert werden kann.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52332178014481,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52332178309393,"sku":"NLS9783642379710","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783642379710.jpg?v=1758150784"},{"product_id":"mathematical-methods-in-quantum-mechanics-book-gerald-teschl-9781470486006","title":"Mathematical Methods in Quantum Mechanics","description":"Quantum mechanics and the theory of operators on Hilbert space have been deeply linked since their beginnings in the early twentieth century. States of a quantum system correspond to certain elements of the configuration space and observables correspond to certain operators on the space. This book is a brief, but self-contained, introduction to the mathematical methods of quantum mechanics, with a view towards applications to Schrodinger operators. Part 1 of the book is a concise introduction to the spectral theory of unbounded operators. Only those topics that will be needed for later applications are covered. The spectral theorem is a central topic in this approach and is introduced at an early stage. Part 2 starts with the free Schrodinger equation and computes the free resolvent and time evolution. Position, momentum, and angular momentum are discussed via algebraic methods. Various mathematical methods are developed, which are then used to compute the spectrum of the hydrogen atom. Further topics include the nondegeneracy of the ground state, spectra of atoms, and scattering theory. This book serves as a self-contained introduction to spectral theory of unbounded operators in Hilbert space with full proofs and minimal prerequisites: Only a solid knowledge of advanced calculus and a one-semester introduction to complex analysis are required. In particular, no functional analysis and no Lebesgue integration theory are assumed. It develops the mathematical tools necessary to prove some key results in nonrelativistic quantum mechanics. Mathematical Methods in Quantum Mechanics is intended for beginning graduate students in both mathematics and physics and provides a solid foundation for reading more advanced books and current research literature. This new edition has additions and improvements throughout the book to make the presentation more student friendly. Ancillaries: Corrections - Updates (Errata) Instructor's Manual","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":54073762677009,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ GARDNERS","offer_id":54073762742545,"sku":"NGR9781470486006","price":0.0,"currency_code":"GBP","in_stock":false}]},{"product_id":"topics-in-linear-and-nonlinear-functional-analysis-book-gerald-teschl-9781470462659","title":"Topics in Linear and Nonlinear Functional Analysis","description":"This textbook provides a concise introduction to linear and nonlinear functional analysis, preparing the reader for further study in areas such as spectral theory, partial differential equations, and probability theory. The first part develops classical linear theory. The opening three chapters follow in Hilbert's footsteps, culminating in the spectral theorem for compact operators. The fourth chapter introduces the fundamental results on Banach spaces, forming the core material for a first course in functional analysis. Three additional chapters treat more advanced topics, including convexity and weak topologies, the spectral theory of bounded operators, and operator semigroups.  The second part is devoted to nonlinear functional analysis. Topics include calculus in Banach spaces, mapping degrees, and monotone maps.  Throughout, the text adopts a student-friendly, bottom-up approach, beginning with concrete special cases and gradually progressing to more abstract results so that the underlying motivation remains clear. Numerous worked examples illustrate how the theory is applied in practice, and an extensive collection of exercises range from routine problems to more challenging ones. A solutions manual is available for instructors.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":67900806594833,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ GARDNERS","offer_id":67900807217425,"sku":"NGR9781470462659","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9781470462659.jpg?v=1793176483"},{"product_id":"topics-in-linear-and-nonlinear-functional-analysis-book-gerald-teschl-9781470487669","title":"Topics in Linear and Nonlinear Functional Analysis","description":"This textbook provides a concise introduction to linear and nonlinear functional analysis, preparing the reader for further study in areas such as spectral theory, partial differential equations, and probability theory. The first part develops classical linear theory. The opening three chapters follow in Hilbert's footsteps, culminating in the spectral theorem for compact operators. The fourth chapter introduces the fundamental results on Banach spaces, forming the core material for a first course in functional analysis. Three additional chapters treat more advanced topics, including convexity and weak topologies, the spectral theory of bounded operators, and operator semigroups.  The second part is devoted to nonlinear functional analysis. Topics include calculus in Banach spaces, mapping degrees, and monotone maps.  Throughout, the text adopts a student-friendly, bottom-up approach, beginning with concrete special cases and gradually progressing to more abstract results so that the underlying motivation remains clear. Numerous worked examples illustrate how the theory is applied in practice, and an extensive collection of exercises range from routine problems to more challenging ones. A solutions manual is available for instructors.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":67900824092945,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ GARDNERS","offer_id":67900826353937,"sku":"NGR9781470487669","price":0.0,"currency_code":"GBP","in_stock":false}]}],"url":"https:\/\/www.worldofbooks.com\/en-gb\/collections\/author-books-by-gerald-teschl.oembed","provider":"World of Books ","version":"1.0","type":"link"}