Lectures On Fundamental Concepts Of Algebra And Geometry Microform
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Linear Algebra for Economists
| Author | : Fuad Aleskerov |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 283 |
| Release | : 2011-08-18 |
| Genre | : Business & Economics |
| ISBN | : 3642205704 |
This textbook introduces students of economics to the fundamental notions and instruments in linear algebra. Linearity is used as a first approximation to many problems that are studied in different branches of science, including economics and other social sciences. Linear algebra is also the most suitable to teach students what proofs are and how to prove a statement. The proofs that are given in the text are relatively easy to understand and also endow the student with different ways of thinking in making proofs. Theorems for which no proofs are given in the book are illustrated via figures and examples. All notions are illustrated appealing to geometric intuition. The book provides a variety of economic examples using linear algebraic tools. It mainly addresses students in economics who need to build up skills in understanding mathematical reasoning. Students in mathematics and informatics may also be interested in learning about the use of mathematics in economics.
University of California Union Catalog of Monographs Cataloged by the Nine Campuses from 1963 Through 1967: Authors & titles
| Author | : University of California (System). Institute of Library Research |
| Publisher | : |
| Total Pages | : 852 |
| Release | : 1972 |
| Genre | : Library catalogs |
| ISBN | : |
Leonardo Pisano (Fibonacci)
| Author | : L. E. Sigler |
| Publisher | : Elsevier |
| Total Pages | : 147 |
| Release | : 2014-06-28 |
| Genre | : Mathematics |
| ISBN | : 0080886507 |
The Book of Squares by Fibonacci is a gem in the mathematical literature and one of the most important mathematical treatises written in the Middle Ages. It is a collection of theorems on indeterminate analysis and equations of second degree which yield, among other results, a solution to a problem proposed by Master John of Palermo to Leonardo at the Court of Frederick II. The book was dedicated and presented to the Emperor at Pisa in 1225. Dating back to the 13th century the book exhibits the early and continued fascination of men with our number system and the relationship among numbers with special properties such as prime numbers, squares, and odd numbers. The faithful translation into modern English and the commentary by the translator make this book accessible to professional mathematicians and amateurs who have always been intrigued by the lure of our number system.
Number Theory
| Author | : |
| Publisher | : Academic Press |
| Total Pages | : 449 |
| Release | : 1986-05-05 |
| Genre | : Mathematics |
| ISBN | : 0080873324 |
This book is written for the student in mathematics. Its goal is to give a view of the theory of numbers, of the problems with which this theory deals, and of the methods that are used. We have avoided that style which gives a systematic development of the apparatus and have used instead a freer style, in which the problems and the methods of solution are closely interwoven. We start from concrete problems in number theory. General theories arise as tools for solving these problems. As a rule, these theories are developed sufficiently far so that the reader can see for himself their strength and beauty, and so that he learns to apply them. Most of the questions that are examined in this book are connected with the theory of diophantine equations - that is, with the theory of the solutions in integers of equations in several variables. However, we also consider questions of other types; for example, we derive the theorem of Dirichlet on prime numbers in arithmetic progressions and investigate the growth of the number of solutions of congruences.
Geometry
| Author | : Audun Holme |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 384 |
| Release | : 2013-03-14 |
| Genre | : Mathematics |
| ISBN | : 3662047209 |
Mathematics is more important than ever, but phrases like "math avoidance" and "math anxiety" are very much in the public vocabulary. In addition to providing an invitation to mathematics in general, this book emphasizes the dynamic character of geometry and its role as part of the foundation for our cultural heritage. Aimed at an informed public and future teachers of mathematics, it seeks to heal the ills of math phobia in society.
The Origins of Cauchy's Rigorous Calculus
| Author | : Judith V. Grabiner |
| Publisher | : Courier Corporation |
| Total Pages | : 274 |
| Release | : 2012-05-11 |
| Genre | : Mathematics |
| ISBN | : 0486143740 |
This text examines the reinterpretation of calculus by Augustin-Louis Cauchy and his peers in the 19th century. These intellectuals created a collection of well-defined theorems about limits, continuity, series, derivatives, and integrals. 1981 edition.
Transformation Groups in Differential Geometry
| Author | : Shoshichi Kobayashi |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 192 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 3642619819 |
Given a mathematical structure, one of the basic associated mathematical objects is its automorphism group. The object of this book is to give a biased account of automorphism groups of differential geometric struc tures. All geometric structures are not created equal; some are creations of ~ods while others are products of lesser human minds. Amongst the former, Riemannian and complex structures stand out for their beauty and wealth. A major portion of this book is therefore devoted to these two structures. Chapter I describes a general theory of automorphisms of geometric structures with emphasis on the question of when the automorphism group can be given a Lie group structure. Basic theorems in this regard are presented in §§ 3, 4 and 5. The concept of G-structure or that of pseudo-group structure enables us to treat most of the interesting geo metric structures in a unified manner. In § 8, we sketch the relationship between the two concepts. Chapter I is so arranged that the reader who is primarily interested in Riemannian, complex, conformal and projective structures can skip §§ 5, 6, 7 and 8. This chapter is partly based on lec tures I gave in Tokyo and Berkeley in 1965.
