This final text in the Zakon Series on Mathematics Analysis follows the release of the author's Basic Concepts of Mathematics and Mathematical Analysis I and completes the material on Real Analysis that is the foundation for later courses in functional analysis, harmonic analysis, probability theory, etc. The first chapter extends calculus to n-dimensional Euclidean space and, more generally, Banach spaces, covering the inverse function theorem, the implicit function theorem, Taylor expansions, etc.
The third edition of this popular introduction to the classical underpinnings of the mathematics behind finance continues to combine sound mathematical principles with economic applications. Concentrating on the probabilistic theory of continuous arbitrage pricing of financial derivatives, including stochastic optimal control theory and Merton's fund separation theory, the book is designed for graduate students and combines necessary mathematical background with a solid economic focus.
This is a book of applied mathematical proofs. If you have seen a mathematical result, if you want to know why the result is so, you can look for the proof here. The book's purpose is to convey the essential ideas underlying the derivations of a large number of mathematical results useful in the modeling of physical systems. To this end, the book emphasizes main threads of mathematical argument and the motivation underlying the main threads, deemphasizing formal mathematical rigor.
Children's Mathematics: Making Marks, Making Meaning
Based on the authors' many years' experience in teaching children ages three to eight years and on their extensive research with children in the home, nursery and school, this resource discusses the development and range of young children's mathematical marks and visual representations. It illustrates how children make mental connections between their own early marks and subsequent abstract mathematical symbolism, and go on to develop their own written methods.
The mathematical and finance field can be a very lucrative one, with jobs ranging from bankers to lawyers to urban planners, and more. Kids with a love of numbers and math concepts may find this industry both satisfying and challenging. What does it take to pursue a career in math and money? Completely redesigned and updated with current information, "Career Ideas for Kids Who Like Math and Money, Second Edition" helps kids identify their personality traits and guides them on how best to apply those skills to careers in the mathematical or financial field.
