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Geometry & Topology


Complex Analysis (Cambridge Studies in Advanced Mathematics)

Complex Analysis (Cambridge Studies in Advanced Mathematics) Lowest new price: $83.70
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Author: Kunihiko Kodaira
Brand: Brand: Cambridge University Press

This textbook is an introduction to the classical theory of functions of a complex variable. The author's aim is to explain the basic theory in an easy to understand and careful way. He emphasizes geometrical considerations, and, to avoid topological difficulties associated with complex analysis, begins by deriving Cauchy's integral formula in a topologically simple case and then deduces the basic properties of continuous and differentiable functions. The remainder of the book deals with conformal mappings, analytic continuation, Riemann's mapping theorem, Riemann surfaces and analytic functions on a Riemann surface. The book is profusely illustrated and includes many examples. Problems are collected together at the end of the book. It should be an ideal text for either a first course in complex analysis or more advanced study.

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The Geometry of Four-Manifolds (Oxford Mathematical Monographs)

The Geometry of Four-Manifolds (Oxford Mathematical Monographs) Lowest new price: $120.86
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Author: S. K. Donaldson

The last ten years have seen rapid advances in the understanding of differentiable four-manifolds, not least of which has been the discovery of new 'exotic' manifolds. These results have had far-reaching consequences in geometry, topology, and mathematical physics, and have proven to be a mainspring of current mathematical research. This book provides a lucid and accessible account of the modern study of the geometry of four-manifolds. Consequently, it will be required reading for all those mathematicians and theoretical physicists whose research touches on this topic. The authors present both a thorough treatment of the main lines of these developments in four-manifold topology--notably the definition of new invariants of four-manifolds--and also a wide-ranging treatment of relevant topics from geometry and global analysis. All of the main theorems about Yang-Mills instantons on four-manifolds are proven in detail. On the geometric side, the book contains a new proof of the classification of instantons on the four-sphere, together with an extensive discussion of the differential geometry of holomorphic vector bundles. At the end of the book the different strands of the theory are brought together in the proofs of results which settle long-standing problems in four-manifolds topology and which are close to the frontiers of current research. Co-author Donaldson is the 1994 co-recipient of the prestigious Crafoord Prize.

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Math Notebook College Ruled: Single Subject Notebook for School & Homeschool Students, 120 College Ruled Pages, Softcover Chalkboard Design (Math School Notebook College Ruled) (Volume 1)

Math Notebook College Ruled: Single Subject Notebook for School & Homeschool Students, 120 College Ruled Pages, Softcover Chalkboard Design (Math School Notebook College Ruled) (Volume 1) Lowest new price: $5.75
Lowest used price: $6.28
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Author: Cool Notebooks for Schools

The school notebook that you have been looking for!

Like no other!, this school single subject notebook comes with all these wonderful features;

  • The distinct cover design of chalkboard with lettering of school subjects lets you organize and identify the notebooks of each subject easier. Plus, matte laminated finish helps repel liquid and toughens the paperback cover, so your notebook will stay with you longer, through the semester and beyond!
  • The ideal size of 7.4” x 9.7” is perfect for your carrying it along, so you can take notes, lectures, or reread your notes anywhere you want. The book provides you ample space to take note on what you learn, while it can be tucked easily in any school bags that can accommodate general notebooks.
  • 120 non-perforated lined pages on the paper that is thicker than general notebooks. The book can therefore be used with more variety of pens, giving you the ability to design your note-taking with your own taste. (Extra blank sheets may still be required in case of using it with some marker pens.)
  • The lines are in light grey which can guide your writing perfectly, while they are easier on your eyes and less distracting when you read. The space between each line is 0.28 inches, which is in accordance with the Medium Ruled or so-called College Ruled standardized formats of ruled papers, so you can rest assured you are about to write in the space you are most familiar with.
  • Two-inch space near the spine on every page has been reserved to be blank for your possible drawing of study illustrations, taking side notes, or simply scribbling! The reserved space also allows you to always write on flat surface (in the lined areas).
  • Every page comes with its page number, so you can optionally have the first page be the Table of Contents page for the notebook. The Table of Contents would be very helpful when you look for some notes inside the notebook, especially the ones that you wrote some long time ago. Moreover, it gives you the ability to plan and write in chapters or take sequential notes.
  • The book industry perfect binding with spine (the same standard binding as most paperbacks in your library) allows this notebook to be put on shelf neatly alongside other books that you have. This book comes with the spine text that reads “Math Notebook” and the space thereon that you can write your own notebook volume number, so, once you use up one book, you can continue on the next and develop a series of your own subject notebooks that can be stored on shelf together, chronologically, and looked up later in no time!

    Now available in 8 different subjects you can choose from, by simply copy and paste one of the following lines in the search box to find that one you need;

    English Notebook College Ruled (1974418650)
    Geography Notebook College Ruled (1974418693)
    History Notebook College Ruled (1974418758)
    Language Arts Notebook College Ruled (1974418820)
    Math Notebook College Ruled (1974418863), which is this book.
    Science Notebook College Ruled (1974418936)
    Social Studies Notebook College Ruled (1974419010)
    Spanish Notebook College Ruled (1974419355)

    [More subjects are coming. You can leave a review letting us know the next subjects you want to have manufactured.]

    Perfect for taking notes in class, homeschool, self-study, or even as a personal study journal. Let’s organize & centralize your study with these intelligent notebooks that will literally help your performance soar!

    Note : Math notebook is also available in Large size wide ruled. Simply copy and paste the following text in the search box to discover it;
    Math Notebook (1973898136)


  • Recurrence and Topology (Graduate Studies in Mathematics)

    Recurrence and Topology (Graduate Studies in Mathematics) Lowest new price: $49.00
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    Author: John M. Alongi and Gail S. Nelson
    Brand: Brand: American Mathematical Society

    Since at least the time of Poisson, mathematicians have pondered the notion of recurrence for differential equations. Solutions that exhibit recurrent behavior provide insight into the behavior of general solutions. In Recurrence and Topology, Alongi and Nelson provide a modern understanding of the subject, using the language and tools of dynamical systems and topology. Recurrence and Topology develops increasingly more general topological modes of recurrence for dynamical systems beginning with fixed points and concluding with chain recurrent points. For each type of recurrence the text provides detailed examples arising from explicit systems of differential equations; it establishes the general topological properties of the set of recurrent points; and it investigates the possibility of partitioning the set of recurrent points into subsets which are dynamically irreducible. The text includes a discussion of real-valued functions that reflect the structure of the sets of recurrent points and concludes with a thorough treatment of the Fundamental Theorem of Dynamical Systems. Recurrence and Topology is appropriate for mathematics graduate students, though a well-prepared undergraduate might read most of the text with great benefit.

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    Analysis: An Introduction

    Analysis: An Introduction Lowest new price: $55.35
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    Author: Richard Beals
    Brand: Brand: Cambridge University Press

    This self-contained text, suitable for advanced undergraduates, provides an extensive introduction to mathematical analysis, from the fundamentals to more advanced material. It begins with the properties of the real numbers and continues with a rigorous treatment of sequences, series, metric spaces, and calculus in one variable. Further subjects include Lebesgue measure and integration on the line, Fourier analysis, and differential equations. In addition to this core material, the book includes a number of interesting applications of the subject matter to areas both within and outside the field of mathematics. The aim throughout is to strike a balance between being too austere or too sketchy, and being so detailed as to obscure the essential ideas. A large number of examples and 500 exercises allow the reader to test understanding, practise mathematical exposition and provide a window into further topics.

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    The Seiberg-Witten Equations and Applications to the Topology of Smooth Four-Manifolds (Mathematical Notes, Vol. 44)

    The Seiberg-Witten Equations and Applications to the Topology of Smooth Four-Manifolds (Mathematical Notes, Vol. 44) Lowest new price: $33.31
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    Author: John W. Morgan
    Brand: John W Morgan

    The recent introduction of the Seiberg-Witten invariants of smooth four-manifolds has revolutionized the study of those manifolds. The invariants are gauge-theoretic in nature and are close cousins of the much-studied SU(2)-invariants defined over fifteen years ago by Donaldson. On a practical level, the new invariants have proved to be more powerful and have led to a vast generalization of earlier results. This book is an introduction to the Seiberg-Witten invariants.


    The work begins with a review of the classical material on Spin c structures and their associated Dirac operators. Next comes a discussion of the Seiberg-Witten equations, which is set in the context of nonlinear elliptic operators on an appropriate infinite dimensional space of configurations. It is demonstrated that the space of solutions to these equations, called the Seiberg-Witten moduli space, is finite dimensional, and its dimension is then computed. In contrast to the SU(2)-case, the Seiberg-Witten moduli spaces are shown to be compact. The Seiberg-Witten invariant is then essentially the homology class in the space of configurations represented by the Seiberg-Witten moduli space. The last chapter gives a flavor for the applications of these new invariants by computing the invariants for most Kahler surfaces and then deriving some basic toological consequences for these surfaces.

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    Helaman Ferguson: Mathematics in Stone and Bronze

    Helaman Ferguson: Mathematics in Stone and Bronze Lowest new price: $46.99
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    Author: Claire Ferguson
    Brand: Brand: Meridian Creative Group

    Helaman Ferguson is a sculptor who works in stone and bronze. He also holds a Ph.D. in mathematics. Although Helamans sculptures are mathematically-based, they are organic, textural, and mysterious. This dramatically photographed book has won several awards including an OZZIE and a National Gold Ink Award.

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    Conjecture and Proof (Classroom Resource Materials)

    Conjecture and Proof (Classroom Resource Materials) Lowest new price: $37.00
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    Author: Miklós Laczkovich

    The Budapest semesters in mathematics were initiated with the aim of offering undergraduate courses that convey the tradition of Hungarian mathematics to English-speaking students. This book is an elaborate version of the course on 'Conjecture and Proof'. It gives miniature introductions to various areas of mathematics by presenting some interesting and important, but easily accessible results and methods. The text contains complete proofs of deep results such as the transcendence of e, the Banach-Tarski paradox and the existence of Borel sets of arbitrary (finite) class. One of the purposes is to demonstrate how far one can get from the first principles in just a couple of steps. Prerequisites are kept to a minimum, and any introductory calculus course provides the necessary background for understanding the book. Exercises are included for the benefit of students. However, this book should prove fascinating for any mathematically literate reader.

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    A Treatise on the Theory of Bessel Functions (Cambridge Mathematical Library)

    A Treatise on the Theory of Bessel Functions (Cambridge Mathematical Library) Lowest new price: $75.63
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    Author: G. N. Watson
    Brand: Cambridge University Press

    The late Professor G.N. Watson wrote his monumental treatise on the theory of Bessel functions in 1922 with two objects in view. The first was the development of applications of the fundamental processes of the theory of complex variables, and the second was compiling a collection of results of value for mathematicians and physicists who encounter Bessel functions in the course of their researches. The completeness of the theoretical account, combined with the wide scope of the collection of practical examples have resulted in a book that will be indispensable for pure mathematicians, applied mathematicians, and physicists.

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    Several Complex Variables and Complex Manifolds I (London Mathematical Society Lecture Note Series)

    Several Complex Variables and Complex Manifolds I (London Mathematical Society Lecture Note Series) Lowest new price: $32.34
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    Author: Mike Field
    Brand: Brand: Cambridge University Press

    This self-contained and relatively elementary introduction to functions of several complex variables and complex (especially compact) manifolds was first published in 1982. It was intended be a synthesis of those topics and a broad introduction to the field. The work as a whole will be useful to professional mathematicians or mathematical physicists who wish to acquire a further knowledge of this area of mathematics. Many exercises have been included and indeed they form an integral part of the text. The prerequisites for understanding Part I would be met by any mathematics student with a first degree and together the two parts were designed to provide an introduction to the more advanced works in the subject.

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