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Real Analysis: An Undergraduate Problem Book for Mathematicians, Applied Scientists, and Engineers is a classical Real Analysis/Calculus problem book. This topic has been a compulsory subject for every undergraduate studying mathematics or engineering for a very long time. This volume contains a huge number of engaging problems and solutions, as well as detailed explanations of how to achieve these solutions. This latter quality is something that many problem books lack, and it is hoped that this feature will be useful to students and instructors alike. Features Hundreds of problems and solutions Can be used as a stand-alone problem book, or in conjunction with the author’s textbook, Real Analysis: An Undergraduate Textbook for Mathematicians, Applied Scientists, and Engineers, ISBN 9781032481487 Perfect resource for undergraduate students studying a first course in Calculus or Real Analysis Contains explanatory figures, detailed techniques, tricks, hints, and “recipes” on how to proceed once we have a calculus problem in front of us.
This brief presents a global perspective on the geometry of spaces of polynomials. Its particular focus is on polynomial spaces of dimension 3, providing, in that case, a graphical representation of the unit ball. Also, the extreme points in the unit ball of several polynomial spaces are characterized. Finally, a number of applications to obtain sharp classical polynomial inequalities are presented. The study performed is the first ever complete account on the geometry of the unit ball of polynomial spaces. Nowadays there are hundreds of research papers on this topic and our work gathers the state of the art of the main and/or relevant results up to now. This book is intended for a broad audience, including undergraduate and graduate students, junior and senior researchers and it also serves as a source book for consultation. In addition to that, we made this work visually attractive by including in it over 50 original figures in order to help in the understanding of all the results and techniques included in the book.
"A treatise on finite difference ineuqalities that have important applications to theories of various classes of finite difference and sum-difference equations, including several linear and nonlinear finite difference inequalities appearing for the first time in book form."
Renewed interest in vector spaces and linear algebras has spurred the search for large algebraic structures composed of mathematical objects with special properties. Bringing together research that was otherwise scattered throughout the literature, Lineability: The Search for Linearity in Mathematics collects the main results on the conditions for
After an introduction to the geometry of polynomials and a discussion of refinements of the Fundamental Theorem of Algebra, the book turns to a consideration of various special polynomials. Chebyshev and Descartes systems are then introduced, and Müntz systems and rational systems are examined in detail. Subsequent chapters discuss denseness questions and the inequalities satisfied by polynomials and rational functions. Appendices on algorithms and computational concerns, on the interpolation theorem, and on orthogonality and irrationality round off the text. The book is self-contained and assumes at most a senior-undergraduate familiarity with real and complex analysis.
Recent studies have indicated that epigenetic processes may play a major role in both cellular and organismal aging. These epigenetic processes include not only DNA methylation and histone modifications, but also extend to many other epigenetic mediators such as the polycomb group proteins, chromosomal position effects, and noncoding RNA. The topics of this book range from fundamental changes in DNA methylation in aging to the most recent research on intervention into epigenetic modifications to modulate the aging process. The major topics of epigenetics and aging covered in this book are: 1) DNA methylation and histone modifications in aging; 2) Other epigenetic processes and aging; 3) Impa...
This monograph is a bridge between the classical theory and modern approach via arithmetic geometry.
Starting point and motivation for this volume is the Müntz theorem. In the first part of the book the Banach spaces notions are introduced and are later on applied for Müntz spaces. They include the opening and inclination of subspaces, bases and boundedapproximation properties and versions of universality.
Caught up in an oil spill, a dying seagull scrambles ashore to lay her final egg and lands on a balcony, where she meets Zorba, a big black cat from the port of Hamburg. The cat promises the seagull to look after the egg, not to eat the chick once it's hatched and - most difficult of all - to teach the baby gull to fly. Will Zorba and his feline friends honour the promise and give Lucky, the adopted little seagull, the strength to discover her true nature? A moving, uplifting and life-enhancing story with a strong environmental theme, Luis Sepúlveda's instant children's classic has been a worldwide best-seller and is presented here with new drawings by acclaimed illustrator Satoshi Kitamura.
This latest addition to the How to Read series provides a basic introduction to the faith. life and thought of the great theological pioneers from the first centuries of the church: Ignatius of Antioch, Irenaeus of Lyons, Origen , Gregory of Nyssa, Hilary of Poitiers, Augustine of Hippo and many others. Like its companion volumes it contains texts, maps, chronological charts and illustrations, and is a highly attractive introduction to an important and often neglected subject. Adalbert Hamman is a Franciscan, a patristic specialist who teaches in Rome and has pioneered in setting up groups all over France to study the church fathers.