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### Lectures on Topics in Algebraic Number Theory

Description: These are the notes of a course of ten lectures given at the Christian-Alberchts-Universität Kiel at Kiel, Germany during December 2000. These lectures were aimed at giving a rapid introduction to some basic aspects of Algebraic Number Theory with as few prerequisites as possible. The Table of Contents below gives some idea of the topics covered in these notes. There are two appendices, first containing author's older notes on Galois Theory and the second re...

### Introduction to Number Theory

##### By: George E. Andrews

Description: Although mathematics majors are usually conversant with number theory by the time they have completed a course in abstract algebra, other undergraduates, especially those in education and the liberal arts, often need a more basic introduction to the topic. In this book the author solves the problem of maintaining the interest of students at both levels by offering a combinatorial approach to elementary number theory. In studying number theory from such a per...

### A Course on Number Theory

##### By: Andrew Baker

Description: These notes were written for a final year undergraduate course taught at Manchester University in 1988/9 and also taught in later years by Dr M. McCrudden. I rewrote them in 2000 to make them available to interested graduate students. The approach taken is very down to earth and makes few assumptions beyond standard undergraduate analysis and algebra. Because of this the course was as self contained as possible, covering basic number theory and analytic idea...

### Number Theory: Fermats Last Theorem

##### By: Simon Singh

Description: Fermat's Last Theorem is a popular science book by Simon Singh. It tells the story of the search for a proof of Fermat's last theorem, first conjectured by Pierre de Fermat in 1637.[1][2][3] Despite the efforts of many mathematicians, the proof would remain incomplete until as late as 1995, with the publication of Andrew Wiles' proof of the Theorem.

### Theory of Functions of a Real Variable

##### By: Shlomo Sternberg

Description: This note covers the following topics: Applications of the Cartan calculus, category of split orthogonal vector spaces, Super Poison algebras and Gerstenhaber algebras, Lie groupoids and Lie algebroids, Friedmann-Robertson-Walker metrics in general relativity, Clifford algebras.

### Lectures on Etale Cohomology I

##### By: J.S. Milne

Description: This book explains the following topics: Etale Morphisms, Etale Fundamental Group, The Local Ring for the Etale Topology, Sheaves for the Etale Topology, Direct and Inverse Images of Sheaves, Cohomology: Definition and the Basic Properties, Cohomology of Curves, Cohomological Dimension, Purity; the Gysin Sequence, The Proper Base Change Theorem, Cohomology Groups with Compact Support, The Smooth Base Change Theorem, The Comparison Theorem, The Kunneth Formul...

### Partial Differential Equations

##### By: Cleve Moler

Description: This note covers the following topics: Model Problems, finite Difference Methods, Matrix Representation, Numerical Stability, The L-Shaped Membrane.

### Zeitschrift für mathematischen und naturwissenschaftlichen Unterr...

##### By: Verein Zur Förderung des Mathematischen und Naturwissenschaftlichen Unterrichts

Supplemental catalog subcollection information: American Libraries Collection; Historical Literature; Vols. for 1892-1909 include Mitteilungen über den Verein zur förderunng des unterrichts in der mathematik und in den naturwissenschaften.; Organ für inhalt, methode und organisation des unterrichtes in den exakten wissenschaften an allen schulgattungen ... (varies slightly); Latest issue consulted: 70. Jahrg., 6./7. Heft (1939); 1. Jahrg. (1870)-32. Jahrg. (1911?). 1 v;...

### A Gallery of Algebraic Surfaces ; Geometry

##### By: Bruce Hunt

Description: The notion of a surface is a very classical one in technology, art and the natural sciences. Just to name a few examples, the roof of a building, the body of a string instrument and the front of a wave are all, at least in idealized form, surfaces. In mathematics their use is very old and very well developed. A very special class of (mathematical) surfaces, given by particularly nice equations, are the algebraic surfaces, the topic of this lecture. With mode...

### Algebraic Topology Lecture Note

##### By: Jarah Evslin; Alexander Wijns

Description: This note covers the following topics: Group theory, The fundamental group, Simplicial complexes and homology, Cohomology

### A Practical Theory of Programming

##### By: Eric C.R.Hehner

Description: In the theoretical model, a specification is just a boolean expression and refinement is just an ordinary implication. The author develops a practical and broad method for writing precise specifications and designing programs whose executions probably satisfy the specifications. Beginning with preparatory material in logic, numbers, sets, lists, functions and relations, the book advances further into program theory, the heart of the book. Subsequent chapters...

### Abstract Algebra Incomplete Notes, Part 1

##### By: Afra Zomorodian

Description: This book covers the following topics: Few Preliminaries, Introduction to Groups, Homomorphisms and Factor Groups, Advanced Group theory, Introduction to Rings and Fields, Factor Rings and Ideals, Factorization.

### Categories and Homological Algebra 1

##### By: Pierre Schapira

Description: This course note introduces the reader to the language of categories and to present the basic notions of homological algebra, first from an elementary point of view, with the notion of derived functors, next with a more sophisticated approach, with the introduction of triangulated and derived categories.

### Number and its algebra. Syllabus of lectures on the theory of numb...

##### By: Lefevre, Arthur, 1863-1929

Supplemental catalog subcollection information: American Libraries Collection; Historical Literature

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