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Mathematics for Finance
Mathematics for Finance: An Introduction to Financial Engineering combines financial motivation with mathematical style. Assuming only basic knowledge of probability and calculus, …
Ordinary Differential Equations
The book comprises a rigorous and self-contained treatment of initial-value problems for ordinary differential equations. It additionally develops the basics of control theory, …
Cryptography
This text introduces cryptography, from its earliest roots to cryptosystems used today for secure online communication.Beginning with classical ciphers and their cryptanalysis, …
From Natural Numbers to Quaternions
This textbook offers an invitation to modern algebra through number systems of increasing complexity, beginning with the natural numbers and culminating with Hamilton's …
A History of Abstract Algebra
This textbook provides an accessible account of the history of abstract algebra, tracing a range of topics in modern algebra and number theory back to their modest presence in the …
An Introduction to Laplace Transforms and Fourier Series
In this book, there is a strong emphasis on application with the necessary mathematical grounding. There are plenty of worked examples with all solutions provided. This enlarged …
Algebras and Representation Theory
This carefully written textbook provides an accessible introduction to the representation theory of algebras, including representations of quivers.The book starts with basic topics …
Mathematical Writing
This book teaches the art of writing mathematics, an essential -and difficult- skill for any mathematics student. The book begins with an informal introduction on basic writing …
Vector Calculus
Vector calculus is the fundamental language of mathematical physics. It pro vides a way to describe physical quantities in three-dimensional space and the way in which these …
Sets, Models and Proofs
This textbook provides a concise and self-contained introduction to mathematical logic, with a focus on the fundamental topics in first-order logic and model theory. Including …
The Real and the Complex: A History of Analysis in the 19th Century
This book contains a history of real and complex analysis in the nineteenth century, from the work of Lagrange and Fourier to the origins of set theory and the modern foundations …
Measure, Integral and Probability
Measure, Integral and Probability is a gentle introduction that makes measure and integration theory accessible to the average third-year undergraduate student. The ideas are …