Operator Calculus and Spectral Theory
Author: M. Demuth
Publisher: Birkhäuser
Published: 2012-12-06
Total Pages: 355
ISBN-13: 3034886233
DOWNLOAD EBOOKPosts
Singapore Math and Science Education Innovation
Author: Oon Seng Tan
Publisher: Springer Nature
Published: 2021-09-05
Total Pages: 304
ISBN-13: 9811613575
DOWNLOAD EBOOKThis edited volume explores key areas of interests in Singapore math and science education including issues on teacher education, pedagogy, curriculum, assessment, teaching practices, applied learning, ecology of learning, talent grooming, culture of science and math, vocational education and STEM. It presents to policymakers and educators a clear picture of the education scene in Singapore and insights into the role of math and science education in helping the country excel beyond international studies such as PISA, the pedagogical and curricula advancements in math and science learning, and the research and practices that give Singaporean students the competitive edge in facing the uncertain and challenging landscape of the future.
Pseudo-differential Operators
Author: Luigi Rodino
Publisher: American Mathematical Soc.
Published: 2007-11-21
Total Pages: 432
ISBN-13: 9780821871553
DOWNLOAD EBOOKThis volume is based on lectures given at the workshop on pseudo-differential operators held at the Fields Institute from December 11, 2006 to December 15, 2006. The two main themes of the workshop and hence this volume are partial differential equations and time-frequency analysis. The contents of this volume consist of five mini-courses for graduate students and post-docs, and fifteen papers on related topics. Of particular interest in this volume are the mathematical underpinnings, applications and ramifications of the relatively new Stockwell transform, which is a hybrid of the Gabor transform and the wavelet transform. The twenty papers in this volume reflect modern trends in the development of pseudo-differential operators.
Precalc Math Calc Sg E4
Author: John Banks
Publisher: Brooks Cole
Published: 2001-12
Total Pages: 356
ISBN-13: 9780534385453
DOWNLOAD EBOOKDetailed explanations and worked-out practice problems.
Partial Differential Equations and Spectral Theory
Author: Michael Demuth
Publisher: Birkhäuser
Published: 2012-12-06
Total Pages: 346
ISBN-13: 3034882319
DOWNLOAD EBOOKThe intention of the international conference PDE2000 was to bring together specialists from different areas of modern analysis, mathematical physics and geometry, to discuss not only the recent progress in their own fields but also the interaction between these fields. The special topics of the conference were spectral and scattering theory, semiclassical and asymptotic analysis, pseudodifferential operators and their relation to geometry, as well as partial differential operators and their connection to stochastic analysis and to the theory of semigroups. The scientific advisory board of the conference in Clausthal consisted of M. Ben-Artzi (Jerusalem), Chen Hua (Peking), M. Demuth (Clausthal), T. Ichinose (Kanazawa), L. Rodino (Turin), B.-W. Schulze (Potsdam) and J. Sjöstrand (Paris). The book is aimed at researchers in mathematics and mathematical physics with interests in partial differential equations and all its related fields.
Anomalies in Partial Differential Equations
Author: Massimo Cicognani
Publisher: Springer Nature
Published: 2021-02-03
Total Pages: 469
ISBN-13: 3030613461
DOWNLOAD EBOOKThe contributions contained in the volume, written by leading experts in their respective fields, are expanded versions of talks given at the INDAM Workshop "Anomalies in Partial Differential Equations" held in September 2019 at the Istituto Nazionale di Alta Matematica, Dipartimento di Matematica "Guido Castelnuovo", Università di Roma "La Sapienza". The volume contains results for well-posedness and local solvability for linear models with low regular coefficients. Moreover, nonlinear dispersive models (damped waves, p-evolution models) are discussed from the point of view of critical exponents, blow-up phenomena or decay estimates for Sobolev solutions. Some contributions are devoted to models from applications as traffic flows, Einstein-Euler systems or stochastic PDEs as well. Finally, several contributions from Harmonic and Time-Frequency Analysis, in which the authors are interested in the action of localizing operators or the description of wave front sets, complete the volume.
Advanced Calculus (Revised Edition)
Author: Lynn Harold Loomis
Publisher: World Scientific Publishing Company
Published: 2014-02-26
Total Pages: 595
ISBN-13: 9814583952
DOWNLOAD EBOOKAn authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.
Generalized Functions and Fourier Analysis
Author: Michael Oberguggenberger
Publisher: Birkhäuser
Published: 2017-05-06
Total Pages: 280
ISBN-13: 3319519115
DOWNLOAD EBOOKThis book gives an excellent and up-to-date overview on the convergence and joint progress in the fields of Generalized Functions and Fourier Analysis, notably in the core disciplines of pseudodifferential operators, microlocal analysis and time-frequency analysis. The volume is a collection of chapters addressing these fields, their interaction, their unifying concepts and their applications and is based on scientific activities related to the International Association for Generalized Functions (IAGF) and the ISAAC interest groups on Pseudo-Differential Operators (IGPDO) and on Generalized Functions (IGGF), notably on the longstanding collaboration of these groups within ISAAC.
Additional Mathematics Topical Revision Kit for GCE O Level (Singapore)
Author: Ignatius Tham
Publisher: Art Of Maths LLP
Published:
Total Pages: 77
ISBN-13:
DOWNLOAD EBOOKAdditional Mathematics Topical Revision Kit is written in accordance to the latest syllabus issued by the Ministry Of Education (Singapore) for students pursuing the GCE O Level (Singapore) certificate. This EBook aims to address the study needs of students by: - incorporating pictorial illustrations for easy learning - Crafting diagrams with colours to aid visual learning - Grouping related formulae together for easy understanding and reference Besides Maths formulae, this book also includes commonly asked questions by examiners; and work examples with full solutions for the more challenging questions to help students quickly recall them when required. Each topic is broken down into main topic and sub topics, with clear description.
The Statistical Mechanics of Interacting Walks, Polygons, Animals and Vesicles
Author: E. J. Janse van Rensburg
Publisher: OUP Oxford
Published: 2015-05-14
Total Pages: 563
ISBN-13: 0191644676
DOWNLOAD EBOOKThe self-avoiding walk is a classical model in statistical mechanics, probability theory and mathematical physics. It is also a simple model of polymer entropy which is useful in modelling phase behaviour in polymers. This monograph provides an authoritative examination of interacting self-avoiding walks, presenting aspects of the thermodynamic limit, phase behaviour, scaling and critical exponents for lattice polygons, lattice animals and surfaces. It also includes a comprehensive account of constructive methods in models of adsorbing, collapsing, and pulled walks, animals and networks, and for models of walks in confined geometries. Additional topics include scaling, knotting in lattice polygons, generating function methods for directed models of walks and polygons, and an introduction to the Edwards model. This essential second edition includes recent breakthroughs in the field, as well as maintaining the older but still relevant topics. New chapters include an expanded presentation of directed models, an exploration of methods and results for the hexagonal lattice, and a chapter devoted to the Monte Carlo methods.
