Kategoria BISAC: Mathematics >> Mathematical Analysis

Computable Calculus treats the fundamental topic of calculus in a novel way that is more in tune with today's computer age. Comprising 11 chapters and an accompanying CD-ROM, the book presents mathematical analysis that has been created to deal with constructively defined concepts. The book's "show your work" approach makes it easier to understand the pitfalls of various computations and, more importantly, how to avoid these pitfalls.

The accompanying CD-ROM has self-contained programs that interact with the text, providing for easy grasp of the new concepts and enabling...

A collection of problems and solutions in real analysis based on the major textbook, Principles of Real Analysis (also by Aliprantis and Burkinshaw), Problems in Real Analysis is the ideal companion for senior science and engineering undergraduates and first-year graduate courses in real analysis. It is intended for use as an independent source, and is an invaluable tool for students who wish to develop a deep understanding and proficiency in the use of integration methods.

Problems in Real Analysis teaches the basic methods of proof and problem-solving by...

• Clear, readable style
• Solutions to many problems presented in text
• Solutions manual for instructors
• Material new to the second edition on ergodic theory, Brownian motion, and convergence theorems used in...

• Examples and exercises contain real data and graphical illustration for ease of interpretation
• Outputs from SAS 7, SPSS 7, Excel, and Minitab are used for illustration, but...

• Maintains a rigorous presentation of the main ideas of advanced calculus, interspersed with applications that show how to analyze real problems
• Includes a wide range of examples and exercises drawn from mechanics, biology, chemical engineering and...

Science and engineering students depend heavily on concepts of mathematical modeling. In an age where almost everything is done on a computer, author Clive Dym believes that students need to understand and "own" the underlying mathematics that computers are doing on their behalf. His goal for Principles of Mathematical Modeling, Second Edition, is to engage the student reader in developing a foundational understanding of the subject that will serve them well into their careers.

The first half of the book begins with a clearly defined set of modeling principles, and then...

Fourier Analysis and Boundary Value Problems provides a thorough examination of both the theory and applications of partial differential equations and the Fourier and Laplace methods for their solutions. Boundary value problems, including the heat and wave equations, are integrated throughout the book. Written from a historical perspective with extensive biographical coverage of pioneers in the field, the book emphasizes the important role played by partial differential equations in engineering and physics. In addition, the author demonstrates how efforts to deal with these problems...

• Presents classical and newly published results on convex functions and related inequalities
• Explains partial ordering based on arrangement and their applications in mathematics, probability, statsitics, and reliability
• Demonstrates the connection of...

• a unique blend of theory and applications
• two brand new chapters on eigenvalues and splines
• inclusion of formal algorithms
• numerous fully worked examples
• a large number of...

Mathematical modeling is the art and craft of building a system of equations that is both sufficiently complex to do justice to physical reality and sufficiently simple to give real insight into the situation. Mathematical Modeling: A Chemical Engineer's Perspective provides an elementary introduction to the craft by one of the century's most distinguished practitioners.

Though the book is written from a chemical engineering viewpoint, the principles and pitfalls are common to all mathematical modeling of physical systems. Seventeen of the author's frequently cited papers are...