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Real Analysis
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.
Lineability
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
Erdös on Graphs
This book is a tribute to Paul Erdos, the wandering mathematician once described as the "prince of problem solvers and the absolute monarch of problem posers." It examines the legacy of open problems he left to the world after his death in 1996.
Epigenetics of Aging
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...
Polynomials and Polynomial Inequalities
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.
How to Read the Church Fathers
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.
Heights in Diophantine Geometry
This monograph is a bridge between the classical theory and modern approach via arithmetic geometry.
Handbook of Graph Theory
The Handbook of Graph Theory is the most comprehensive single-source guide to graph theory ever published. Best-selling authors Jonathan Gross and Jay Yellen assembled an outstanding team of experts to contribute overviews of more than 50 of the most significant topics in graph theory-including those related to algorithmic and optimization approach
