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An Introduction to Mathematical Finance with Applications
This textbook aims to fill the gap between those that offer a theoretical treatment without many applications and those that present and apply formulas without appropriately …
Basic Mathematics
This is a text in basic mathematics with multiple uses for either high school or college level courses. Readers will get a firm foundation in basic principles of mathematics which …
Categories for the Working Mathematician
Categories for the Working Mathematician provides an array of general ideas useful in a wide variety of fields. Starting from the foundations, this book illuminates the concepts of …
Advanced Topics in the Arithmetic of Elliptic Curves
In the introduction to the first volume of The Arithmetic of Elliptic Curves (Springer-Verlag, 1986), I observed that "the theory of elliptic curves is rich, varied, and amazingly …
Short Calculus
Praise for the first edition:"..Lang's present book is a source of interesting ideas and brilliant techniques." Acta Scientiarum Mathematicarum"..It is an admirable straightforward …
Commutative Algebra
Commutative Algebra is best understood with knowledge of the geometric ideas that have played a great role in its formation, in short, with a view towards algebraic geometry. The …
Complex Analysis
This text acts as an introduction to complex analysis for students with a basic knowledge of complex numbers. Topics covered include Julia sets and the Mandelbrot set, Dirichlet …
Understanding Analysis
This lively introductory text exposes the student to the rewards of a rigorous study of functions of a real variable. In each chapter, informal discussions of questions that give …
The Pleasures of Probability
The ideas of probability are all around us. Lotteries, casino gambling, the al most non-stop polling which seems to mold public policy more and more these are a few of the areas …
Compact Lie Groups
Blending algebra, analysis, and topology, the study of compact Lie groups is one of the most beautiful areas of mathematics and a key stepping stone to the theory of general Lie …