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Library's recommendations

Topology by James R. Munkres
Call Number: 41 Mu
ISBN: 0131816292
This introduction to topology provides separate, in-depth coverage of both general topology and algebraic topology. Includes many examples and figures.
מבוא לאנליזה מודרנית by יורם לינדנשטראוס, בנימין ווייס, אמנון פזי
Call Number: ONLINE and 42 Li
Publication Date: 1975
גרסה אלקטרונית
Algebraic Topology by Allen Hatcher
Call Number: ONLINE and 43 Ha
ISBN: 9780521791601
This introductory text is suitable for use in a course on the subject or for self-study, featuring broad coverage and a readable exposition, with many examples and exercises. The four main chapters present the basics: fundamental group and covering spaces, homology and cohomology, higher homotopy groups, and homotopy theory generally. The author emphasizes the geometric aspects of the subject, which helps students gain intuition.
Introduction to Smooth Manifolds by John M. Lee
Call Number: 45 Le
ISBN: 9781441999818
This book is an introductory graduate-level textbook on the theory of smooth manifolds.
Foundations of Differentiable Manifolds and Lie Groups by Frank W. Warner
Call Number: 45 Wa
ISBN: 9780387908946
Foundations of Differentiable Manifolds and Lie Groups gives a clear, detailed, and careful development of the basic facts on manifold theory and Lie Groups. Coverage includes differentiable manifolds, tensors and differentiable forms, Lie groups and homogenous spaces, and integration on manifolds.
The Knot Book by Colin C. Adams
Call Number: 48 Ad
ISBN: 071672393X
"What are the different properties and classifications of knots? How do you determine whether a knot is actually knotted or can be untangled? What is the appropriate measure of the complexity of a knot? What does knot theory research offer to other sciences? In The Knot Book Colin Adams describes and illustrates the work being done to answer these questions. Starting with the simplest knot (the trivial knot or unknot), Adams guides readers through increasingly more intricate twists and turns of knot theory, exploring problems and theorems mathematicians now can solve, as well as those that remain open. He also looks at how knot theory is providing important insights in biology, chemistry, physics, and other fields."
Ergodic Theory by Thomas Ward; Manfred Einsiedler
Call Number: 49 Ei
ISBN: 9780857290205
This text is a rigorous introduction to ergodic theory, developing the machinery of conditional measures and expectations, mixing, and recurrence. Beginning by developing the basics of ergodic theory and progressing to describe some recent applications to number theory, this book goes beyond the standard texts in this topic.
Recurrence in Ergodic Theory and Combinatorial Number Theory by Harry Furstenberg (Einstein Institute of Mathematics, The Hebrew University)
Call Number: ONLINE and 49 Fu
ISBN: 9780691615363
Topological dynamics and ergodic theory usually have been treated independently. H. Furstenberg, instead, develops the common ground between them by applying the modern theory of dynamical systems to combinatories and number theory.