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Morse Theory. (AM-51), Volume 51
One of the most cited books in mathematics, John Milnor's exposition of Morse theory has been the most important book on the subject for more than forty years. Morse theory was developed in the 1920s by mathematician Marston Morse. (Morse was on the faculty of the Institute for Advanced Study, and Princeton published his Topological Methods in the Theory of Functions of a Complex Variable in the Annals of Mathematics Studies series in 1947.) One classical application of Morse theory includes the attempt to understand, with only limited information, the large-scale structure of an object. This kind of problem occurs in mathematical physics, dynamic systems, and mechanical engineering. Morse t...
Morse Theory and Floer Homology
This book is an introduction to modern methods of symplectic topology. It is devoted to explaining the solution of an important problem originating from classical mechanics: the 'Arnold conjecture', which asserts that the number of 1-periodic trajectories of a non-degenerate Hamiltonian system is bounded below by the dimension of the homology of the underlying manifold. The first part is a thorough introduction to Morse theory, a fundamental tool of differential topology. It defines the Morse complex and the Morse homology, and develops some of their applications. Morse homology also serves a simple model for Floer homology, which is covered in the second part. Floer homology is an infinite-...
Malacothamnus: Volume 1
The taxonomy of the genus Malacothamnus (Malvaceae) has been controversial for many years due to conflicting treatments and the many taxa of conservation concern not recognized in some of these treatments. Purported intergradation and hybridization are the primary justifications for not recognizing these taxa. Two recent morphological studies examining small subsets of Malacothamnus taxa debunked the purported ambiguities between the taxa analyzed and provided evidence for a new species. This indicated a morphological assessment of the full genus would be highly beneficial to identify and clarify both morphological groupings and character states within the genus prior to testing taxon hypoth...
Lectures on Morse Homology
This book offers a detailed presentation of results needed to prove the Morse Homology Theorem using classical techniques from algebraic topology and homotopy theory. The text presents results that were formerly scattered in the mathematical literature, in a single reference with complete and detailed proofs. The core material includes CW-complexes, Morse theory, hyperbolic dynamical systems (the Lamba-Lemma, the Stable/Unstable Manifold Theorem), transversality theory, the Morse-Smale-Witten boundary operator, and Conley index theory.
The Silent World Of Nicholas Quinn: An Inspector Morse Mystery 3
FROM CWA CARTIER DIAMOND DAGGER AWARD WINNER COLIN DEXTER Morse had never ceased to wonder why, with the staggering advances in medical science, all pronouncements concerning times of death seemed so disconcertingly vague. The newly appointed member of the Oxford Examinations Syndicate was deaf, provincial and gifted. Now he is dead . . . And his murder, in his north Oxford home, proves to be the start of a formidably labyrinthine case for Chief Inspector Morse, as he tries to track down the killer through the insular and bitchy world of the Oxford Colleges . . . PRAISE FOR THE INSPECTOR MORSE SERIES "The Inspector Morse series, both the novels and the television dramas, are among the finest creations of British culture and are known and loved all over the world." Sydney Morning Herald "Let those who lament the decline of the English detective story reach for Colin Dexter" Guardian
Morse Theory: Smooth And Discrete
Morse Theory: Smooth and Discrete serves as an introduction to classical smooth Morse theory and to Forman's discrete Morse theory, highlighting the parallels between the two subjects. This is the first time both smooth and discrete Morse theory have been treated in a single volume. This makes the book a valuable resource for students and professionals working in topology and discrete mathematics. With a strong focus on examples, the text is suitable for advanced undergraduates or beginning graduate students.
Developing a Program of Research in Nursing
Provides expert guidance on the development of a program of research This is the first resource to provide graduate nursing students, students in other health sciences, and novice researchers with the tools and perspective to develop their own programs of research. Grounded in the author’s 30 years of experience as a highly esteemed nurse researcher, the book guides nurses step by step through all aspects of program development. It underscores the importance of doing research that is knowledge driven and not limited to a particular method, and describes the characteristics of a successful research program and how to achieve it. It stresses the need for both qualitative and quantitative res...
Last Bus to Woodstock
The first intriguing case that began Colin Dexter’s phenomenally successful Inspector Morse series. ‘Do you think I'm wasting your time, Lewis?’ Lewis was nobody’s fool and was a man of some honesty and integrity. ‘Yes, sir.’ An engaging smile crept across Morse’s mouth. He thought they could get on well together . . . The death of Sylvia Kaye figured dramatically in Thursday afternoon’s edition of the Oxford Mail. By Friday evening, Inspector Morse had informed the nation that the police were looking for a dangerous man. But as the obvious leads fade into twilight and darkness, Morse becomes more and more convinced that passion holds the key . . . Last Bus to Woodstock is followed by the second Inspector Morse book, Last Seen Wearing.
Malacothamnus: Volume 2
Past taxonomic treatments of the genus Malacothamnus (Malvaceae) are inconsistent with between 11 and 28 taxa recognized. Many taxa that are not recognized in recent treatments are narrowly endemic and of conservation concern, which makes resolving taxonomic questions in the genus a conservation priority. As a first step in resolving these questions, I used morphological analyses to assess specimens representing the full range of morphological variation in the genus throughout its entire geographic range, which is presented in Volume 1 of this monograph. These analyses resulted in 38 morphologically and geographically cohesive groups that have varying levels of distinctness. In Volume 2 of t...
An Introduction to Morse Theory
Finite-dimensional Morse theory is easier to present fundamental ideas than in infinite-dimensional Morse theory, which is theoretically more involved. However, finite-dimensional Morse theory has its own significance. This volume explains the finte-dimensional Morse theory.
