This textbook provides a thorough-yet-accessible introduction to function spaces, through the central concepts of integrability, weakly differentiability and fractionally differentiability. In an essentially self-contained treatment the reader is...Daugiau...
(Išleidimo metai: 28-Sep-2025, Hardback, Leidėjas: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789811280535)
This monograph elucidates and extends many theorems and conjectures in analytic number theory and algebraic asymptotic analysis via the natural notions of degree and logexponential degree. The Riemann hypothesis, for example, is equivalent to the s...Daugiau...
This book offers several topics of mathematical analysis which are closely connected with significant properties of real-valued functions of various types (such as semi-continuous functions, monotone functions, convex functions, measurable functio...Daugiau...
This book examines the symbiotic interplay between fully nonlinear elliptic partial differential equations and general potential theories of second order. Starting with a self-con...Daugiau...
Designed for a broad spectrum of mathematics majors, not only those pursuing graduate school, this book also provides a thorough explanation of undergraduate Real Analysis. Through a developmentally appropriate narrative that integrates informal d...Daugiau...
Tin Lam Toh, Hemanta Kalita, Anca Croitoru, Tomas Perez Becerra, Bipan Hazarika
(Išleidimo metai: 20-Jun-2025, Hardback, Leidėjas: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789819812196)
This comprehensive volume offers an in-depth exploration of advanced integration theories, extending beyond classical methods to unify and expand the field. Building on the foundational work of Jaroslav Kurzweil and Ralph Henstock, the book delves i...Daugiau...
Finite Mathematics: An Introduction with Applications in Business, Social Sciences, and Music presents core concepts of finite mathematics in a clear, intuitive fashion designed to reinforce understanding. The book begins with finite mathemati...Daugiau...
(Išleidimo metai: 30-Apr-2025, Hardback, Leidėjas: Society for Industrial & Applied Mathematics,U.S., ISBN-13: 9781611978179)
This book is a continuation of the authors earlier book Spline Functions: Computational Methods, published in 2015 by SIAM. This new book focuses on computational methods developed in the last ten years that make use of splines to approximate funct...Daugiau...
This book presents the new fascinating area of continuous inequalities. It was recently discovered that several of the classical inequalities can be generalized and given in a more general continuous/family form. The book states, proves and discus...Daugiau...
This third edition presents an expanded and updated treatment of convex analysis methods, incorporating many new results that have emerged in recent years. These additions are essential for grasping the practical applications of convex function th...Daugiau...
Approximation Theory and Applications: Piecewise Linear and Generalized Functions presents the main provisions of approximation theory, and considers existing and new methods for approximating piecewise linear and generalized functions, widely...Daugiau...
Questo libro presenta le basi dellAnalisi Matematica, coprendo il programma dei primi due anni di un corso di studi universitario, dai numeri naturali fino al Teorema di Stokes-Cartan. La principale novitą che lo distingue č la scelta di...Daugiau...
(Išleidimo metai: 07-Feb-2025, Hardback, Leidėjas: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789811297380)
Can the limitations of the Riemann integral be overcome? What is its relationship with modern analysis The theory of Lebesgue integration is a crucial component in the development of modern analysis. This book is an in-depth real analysis textbook,...Daugiau...
Serija: De Gruyter Series in Nonlinear Analysis & Applications
(Išleidimo metai: 27-Jan-2025, Hardback, Leidėjas: De Gruyter, ISBN-13: 9783111633688)
The book contains eleven chapters introduced by an introductory description. Qualitative properties for the semilinear dissipative wave equations are discussed in Chapter 2 and Chapter 3 based on the solutions with compactly supported initial data...Daugiau...
Designed for senior undergraduate and graduate students in mathematics, this textbook offers a comprehensive exploration of measure theory and integration. It acts as a pivotal link bridging the Riemann integral and the Lebesgue integral, with a p...Daugiau...
This book compiles research and surveys devoted to the areas of mathematical analysis, approximation theory, and optimization. Being dedicated to A.-M. Legendres work, contributions to this volume are devoted to those branches of mathematics an...Daugiau...
This concise textbook introduces calculus students to power series through an informal and captivating narrative that avoids formal proofs but emphasizes understanding the fundamental ideas. Power seriesand infinite series in generalare a funda...Daugiau...
This award-winning monograph explores advanced topics in harmonic analysis, addressing both classical and contemporary problems. Several connections to number theory, crystallography or atomic theory are also surveyed. The term suprematism refers to...Daugiau...
This book presents four topics related to undergraduate courses, typically not covered in standard lectures.Written in a clear and careful style, these four pearls aim at complementing and deepening the knowledge of students and instructo...Daugiau...
