Finding Zero

A Mathematician's Odyssey to Uncover the Origins of Numbers

Finding Zero

The invention of numerals is perhaps the greatest abstraction the human mind has ever created. Virtually everything in our lives is digital, numerical, or quantified. The story of how and where we got these numerals, which we so depend on, has for thousands of years been shrouded in mystery. Finding Zero is an adventure filled saga of Amir Aczel's lifelong obsession: to find the original sources of our numerals. Aczel has doggedly crisscrossed the ancient world, scouring dusty, moldy texts, cross examining so-called scholars who offered wildly differing sets of facts, and ultimately penetrating deep into a Cambodian jungle to find a definitive proof. Here, he takes the reader along for the ride. The history begins with the early Babylonian cuneiform numbers, followed by the later Greek and Roman letter numerals. Then Aczel asks the key question: where do the numbers we use today, the so-called Hindu-Arabic numerals, come from? It is this search that leads him to explore uncharted territory, to go on a grand quest into India, Thailand, Laos, Vietnam, and ultimately into the wilds of Cambodia. There he is blown away to find the earliest zero—the keystone of our entire system of numbers—on a crumbling, vine-covered wall of a seventh-century temple adorned with eaten-away erotic sculptures. While on this odyssey, Aczel meets a host of fascinating characters: academics in search of truth, jungle trekkers looking for adventure, surprisingly honest politicians, shameless smugglers, and treacherous archaeological thieves—who finally reveal where our numbers come from.

Finding Zero

A Practical Guide to Manifesting Your Abundance

Finding Zero

You can have abundance in your life. Chris Lianos invites you to discover the abundance from within by Finding Zero. This book illustrates how you can use metaphysics and neurolinguistic programming to solve the problems that confront you every day. Metaphysics is the study of the universe beyond what we can see. Neurolinguistic programming is the study of excellence and how you can achieve success using your mind, focus and language. Chris brings these two practices together to teach you how to release negative emotions and take practical steps to achieve abundance. You’ll contemplate key questions, such as the nature of reality and why you are here. Discover truths, including: • How you can access your divine guidance system • How to go beyond the veils that hide your abundance • How to crack the creation code and manifest your dream life • How to use universal prosperity laws linked to your abundance • How to avoid self-sabotaging behaviours • How to control your focus Filled with inspirational quotes, worksheets that promote self-discovery and diagrams that explain concepts, this book allows you to gain control over your life and achieve abundance by Finding Zero.

Precise Numerical Methods Using C++

Precise Numerical Methods Using C++

This book explains how precise numerical analysis is constructed with C++. Included is a CD-ROM which contains executable Windows 95 programs for the PC and which demonstrates how these programs can be used to solvetypical problems of elementary numerical analysis with precision. The book also provides exercises which illustrate points from the text and references for the methods presented. . Ordinary differential equation solver demos . Numerical integration demos . Polynomial root finder demos . Complete demo C++text files . Book explains all methods demos use This book is an excellent choice as a text for a course in numerical analysis for advanced undergraduate or graduate students. It is also an invaluable reference for anyone concerned with precise numerical solutions to common engineering problems.

LATIN '92

1st Latin American Symposium on Theoretical Informatics, Sao Paulo, Brazil, April 6-10, 1992. Proceedings

LATIN '92

This volume is the proceedings of LATIN '92, the first of an intended series of symposia on theoretical informatics in a Latin American context. It includes ten invited papers by distinguished guest lecturers as well as numerous selected contributions.

Point Estimation of Root Finding Methods

Point Estimation of Root Finding Methods

This book sets out to state computationally verifiable initial conditions for predicting the immediate appearance of the guaranteed and fast convergence of iterative root finding methods. Attention is paid to iterative methods for simultaneous determination of polynomial zeros in the spirit of Smale's point estimation theory, introduced in 1986. Some basic concepts and Smale's theory for Newton's method, together with its modifications and higher-order methods, are presented in the first two chapters. The remaining chapters contain the recent author's results on initial conditions guaranteing convergence of a wide class of iterative methods for solving algebraic equations. These conditions are of practical interest since they depend only on available data, the information of a function whose zeros are sought and initial approximations. The convergence approach presented can be applied in designing a package for the simultaneous approximation of polynomial zeros.

Control Perspectives on Numerical Algorithms and Matrix Problems

Control Perspectives on Numerical Algorithms and Matrix Problems

Control Perspectives on Numerical Algorithms and Matrix Problems organizes the analysis and design of iterative numerical methods from a control perspective. The authors discuss a variety of applications, including iterative methods for linear and nonlinear systems of equations, neural networks for linear and quadratic programming problems, support vector machines, integration and shooting methods for ordinary differential equations, matrix preconditioning, matrix stability, and polynomial zero finding. This book opens up a new field of interdisciplinary research that should lead to insights in the areas of both control and numerical analysis and shows that a wide range of applications can be approached from, and benefit from, a control perspective.

Numerical Mathematics

Numerical Mathematics

This English translation of the highly successful German textbook Numerische Mathematik covers the usual classical topics of numerical analysis, and also includes an up-to-date treatment of both splines and linear optimization methods. The text is designed to be used in a first course in numerical analysis at the upper division undergraduate level or at the beginning graduate level. It features a careful balance between mathematical rigor and numerical insight and includes many worked out numerical examples. Each section concludes with an extensive set of exercises which instructors should find useful in helping students to master the material. Moreover, the authors have also provided carefully researched historical notes which will be of particular interest to experts as well as students.

Interest Rate Swaps and Other Derivatives

Interest Rate Swaps and Other Derivatives

The first swap was executed over thirty years ago. Since then, the interest rate swaps and other derivative markets have grown and diversified in phenomenal directions. Derivatives are used today by a myriad of institutional investors for the purposes of risk management, expressing a view on the market, and pursuing market opportunities that are otherwise unavailable using more traditional financial instruments. In this volume, Howard Corb explores the concepts behind interest rate swaps and the many derivatives that evolved from them. Corb's book uniquely marries academic rigor and real-world trading experience in a compelling, readable style. While it is filled with sophisticated formulas and analysis, the volume is geared toward a wide range of readers searching for an in-depth understanding of these markets. It serves as both a textbook for students and a must-have reference book for practitioners. Corb helps readers develop an intuitive feel for these products and their use in the market, providing a detailed introduction to more complicated trades and structures. Through examples of financial structuring, readers will come away with an understanding of how derivatives products are created and how they can be deconstructed and analyzed effectively.

MATLAB® Software for the Code Excited Linear Prediction Algorithm

The Federal Standard-1020

MATLAB® Software for the Code Excited Linear Prediction Algorithm

This book describes several modules of the Code Excited Linear Prediction (CELP) algorithm. The authors use the Federal Standard-1016 CELP MATLAB® software to describe in detail several functions and parameter computations associated with analysis-by-synthesis linear prediction. The book begins with a description of the basics of linear prediction followed by an overview of the FS-1016 CELP algorithm. Subsequent chapters describe the various modules of the CELP algorithm in detail. In each chapter, an overall functional description of CELP modules is provided along with detailed illustrations of their MATLAB® implementation. Several code examples and plots are provided to highlight some of the key CELP concepts. Link to MATLAB® code found within the book Table of Contents: Introduction to Linear Predictive Coding / Autocorrelation Analysis and Linear Prediction / Line Spectral Frequency Computation / Spectral Distortion / The Codebook Search / The FS-1016 Decoder