Numerical Methods for Scientific Computing is an introducion to numerical methods and analysis techniques that can be used to solve a variety of complicated engineering and scientific problems. The material is suitable for upper level college undergraduates or beginning graduate students. There is more than enough material for a two semester course in numerical methods and analysis for mathematicians, engineers, physicists, chemistry and science majors.

Chapter one reviews necessary background prerequisite material. The chapter two illustrates techniques for finding roots of equations. Chapter three studies solution methods applicable for handling linear and nonlinear systems of equations. Chapter four introduces interpolation and approximation techniques. The chapter five investigates curve fitting using least squares and linear reqression. The chapter six presents the topics of difference equations and Z-transforms. The chapter seven concentrates on numerical differentiation and integration methods. Chapter eight examines numerical solution techniques for solving ordinary differential equations and chapter nine considers numerical solution techniques for solving linear partial differential equations. The chapter ten develops Monte Carlo techniques for simulating and analyzing complex systems. The final chapter eleven presents parallel computing considerations together with selected miscellaneous topics.

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This book deals with the Quebec mathematics course numbered 514. The history of this course depicts a difficult and confusing path with results measured in failures and frustration. The course is meant for students expecting to go on to studies at CEGEP though not necessarily in the technical and scientific fields. Unfortunately, there has been a dearth of material to explain the course. The reality is that it has been a source of confusion for administrators, teachers, parents, and most unfortunately students.

Rob Shutler has attempted to leave the fighting and finger pointing behind and concentrate on explaining the material. The book follows a traditional path and provides painstaking detail to explain each topic and provide a plethora of examples. The underlying feature of this book is its secure connection to the provincial exam that provides the final and ultimately deciding evaluation for students.

The book could be used as a textbook for classroom use, or as a stand alone resource for a committed, besieged student. It is an excellent foundation resource for any mathematics teacher.

BLACK-SCHOLES OPTIONS VALUATION FACTOR TABLE AT $1 OF BOTH EXERCISE PRICE AND STOCK OPTION" provides you with a simple classic way to use Nobel prized "Black-Scholes Option Pricing Model" in valuing stock options granted at the market price. The basic assumption is that the stock options are granted at the market price, which is true for most companies, although some companies do grant options at premium or discount to the market price at the date of grant. This book gives the Valuation Factors (per share Black-Scholes value) of option, assuming both exercise price and stock price are $1, at different combinations of estimated dividend yield, expected life of options, risk free interest rate, and estimated volatility.

Determining the value of stock options with this book is similar to defining the present value of future payments by using a present value table at $1. Investors first find a Valuation Factor by matching their assumptions on risk-free interest rates (using Treasury STRIPS), estimated dividend yield, expected life of options and estimated volatility, and then multiply it by either the exercise price or the stock price followed by the number of shares. With this book, business professionals can easily prepare their FAS 123 pro-form disclosures on both their annual and interim reports as required by SEC.

This book provides straightforward and concise notes on all the topics required for successful study of GCSE Mathematics at Intermediate Level. Without detracting from the mathematical content, the author has attempted to explain the subject matter in a clear and readable way, providing annotated worked examples of answers to GCSE-level questions. The contents of the book lie somewhere between those of a full course text book and a revision guide. Unlike a course text this book does not have Exercises to be worked through, although, as stated above, it does have full descriptions and explanations of topics, together with worked examples. On the other hand, it does offer more than a typical revision guide, in as much as the written theory, explanations and worked examples tend to be more comprehensive and easier to understand. His tutoring experience has led the author to believe that the most effective way of teaching mathematics at the Secondary level is to adopt a generally 'traditional' approach. Over-reliance on calculators, together with attempts in some books to make maths 'cool' by the addition of comical graphics or cartoon characters, do tend (in his opinion) to be counterproductive. The 'traditional' approach has therefore been used in the writing of this book. The author makes no apology for emphasizing the importance of knowing, for example, the Multiplication Tables or how to 'cancel-down' a fraction. After all, in most syllabuses one of the GCSE written examinations must be attempted without the aid of a calculator!

Course Notes for GCSE Mathematics at Intermediate Level could be used to:

- complement class work throughout the maths course

- serve as a revision guide as the exams approach (possibly in conjunction with work on past exam papers).

Paleontologists and geologists are interested in the ages of fossils, rocks, and minerals, from which they deduce the ages of geologic strata in the Geologic Column. Scientists make use of radioactive dating methods, such as the radioactive decays of carbon 14, uranium 238, and thorium 232 in fossils and minerals. Accurate age determinations depend on knowing the rate of the radioactive emissions and the relative amounts of initial and product elements in the decay series. However, if an interfering nuclear change took place earlier, the perceived age of the earth deposit would have to be wrong.

In 1989, the discovery of cold fusion-the fusion of hydrogen to make helium and energy inside metal electrodes at room temperature-was announced by Drs. Martin Fleischmann and Stanley Pons at the University of Utah. Soon after, cold fusion research also revealed that nuclear transmutations, forming many new elements, occur liberally. Even purposely-added radioactive uranium and thorium in cold fusion-type cells resulted in transmutations, and the disappearance of up to 95 percent of the radioactivity in hours or minutes. In addition, special water pumps, invented in America and Europe, were discovered to generate "excess heat" and possible nuclear effects by intensely agitating water and creating "cavitation bubbles."

In Carbon Dating, Cold Fusion, and a Curve Ball, the author postulates interfering nuclear (element) changes occurring in the Earth, and proposes that extensive element transmutations occurred from intense hydrodynamics during the Flood of Noah (Genesis 6-8). If so, it is conceivable much alteration of radioactive elements took place, rendering unreliable the radioactive dating results in most analyses done today. A relatively simple test of this theory is outlined. The test would use a piece of bismuth metal, a tank of water, and a boat's outboard motor.

The book is written for the non-scientist, but those trained in the physical sciences or engineering are invited to examine the new hypothesis of Earth's element transmutations and the consequential alteration of dating earth material by radioactive elements.

Hands-On Geometry is a geometry resource book for teachers as well as a lab book for 7th and 8th graders.

It includes 25 activities of learning fun, discovery and rediscovery of fundamental and basic concepts. The fun is there to provide learning ease and inspire simple thinking for problem-solving.

The classroom activities from the book cover the following topics: elements of geometry such as points, lines, and planes, angles, angle measurements, triangles, right triangles, the Pythagorean Theorem, quadrilaterals, polygons, areas and volumes, circles, construction classwork, areas and volumes of spheres, and optical exercises for enrichment and enhancing recall.

Solutions and answers are provided to serve as learning guides.

The chemical nature of soils is a fascinating and complex subject. It involves air pockets, and, hence, soil chemistry requires some knowledge of atmospheric environmental chemistry. It involves a wide range of relative humidity, ranging form dry desert conditions to wetlands. Soil chemistry, therefore, requires some knowledge of environmental water chemistry. It involves a vast array of minerals, which means, that a soil chemist must also have a reasonable understanding of geology and mineralogy. This textbook, Soil Chemistry with Applied Mathematics, uses the basic science principals from all of these environmental sciences (atmospheric chemistry, aquatic chemistry, and mineralogy) and blends them together in its study of soil chemistry. The uniqueness of this textbook, versus others with a similar interest, is its dedication to the details of the applied mathematics. This book, therefore, also educates students on how to use and manipulate mathematics in order to better describe environmental chemical reactions. The student will hopefully walk away with a clear view of the "big picture" of nature, plus a "wow, but of course" attitude about the science used to describe it, and a "hey, I can do this" feeling about the applied mathematics used and manipulated by scientists around the world.

Text has over 265 equations, 51 tables, and 131 drawings. Note: not all equations are explained, but many are. Math explanations are easy to skip as needed. This is a great textbook for undergraduate and graduate students in soil science, geology, environmental chemistry, natural resources, and environmental engineering. Instructors of applied mathematics may also wish to borrow ideas from this textbook for their classes, or they may encourage their students to fulfill their science degree requirements by choosing courses that use this textbook or its unique applied math approach.

Graphing Calculator for NYS Math B… and Beyond was developed as the curriculum for a ½ year or 1 semester math elective course to follow Graphing Calculator for NYS Math A… and Beyond.

It gives instruction and practice in the use of the TI-83+/TI84+ family of graphing calculators for advanced algebra and trigonometry skills. It has been used by dozens of schools in New York State as a course, integrated into the 11th grade math course, or as remediation.

Students learn more than how to push buttons. This workbook takes them into the math behind how the graphing calculator works and teaches how to most effectively use this powerful tool. It also includes an introduction to programming the calculator.

Math teachers and college students have also found it very useful in maximizing their use and understanding of technology.

The book includes instructions, review, and questions taken from the NYS Math B Regents questions.

The material has been praised as easy to understand and has been credited with raising student success level on the NYS Math B Regents exam.

Certificate in Senior Secondary Mathematics - Arithmetic and Algebra is a well organized, accessible and in-depth course book designed to teach the fundamental aspects of elementary mathematics that are indispensable in building interest, confidence and competence in mathematical reasoning and problem solving. This reader-friendly course book is presented in a format that encourages the average student and challenges the more able student, starting with the basic aspects and progressing to the more advanced aspects of secondary level mathematics.

With well over 1000 worked-through examples, more than 840 exercises (answers provided), 20 chapters and 4 appendices; numerous graphs, diagrams and tables, this comprehensive course book is a necessary text for students who desire to do well in secondary or high school mathematics.

Emphasis has been laid on detailed presentation and communication through out the course book with the intention of engaging to a greater extent, the attention of the reader. From fractions, logarithms, number system to graphs, equations (literal, simultaneous, quadratic), inequalities, sets and probability, this comprehensive course book furnishes detailed theories, practice and formulae that will ultimately benefit the reader.

Certificate in Senior Secondary Mathematics is a valuable course book created to tutor students studying privately to earn good grades in mathematics in certificate and matriculation examinations. Teachers and students in normal classroom studies will also find this book quite helpful.

Mathematical Methods for Partial Differential Equations is an introduction in the use of various mathematical methods needed for solving linear partial differential equations. The material is suitable for a two semester course in partial differential equations for mathematicians, engineers, physicists, chemistry and science majors and is suitable for upper level college undergraduates or beginning graduate students.

Chapter one reviews necessary background material from the subject area of ordinary differential equations and then develops solution techniques for some easy to solve partial differential equations. Chapter two introduces orthogonal functions and Sturm-Liouville systems. Chapter three utilizes orthogonal functions to develop Fourier series and Fourier integrals. The fourth, fifth and sixth chapters consider various applied engineering applications of partial differential equations. Selected applied topics are developed together with necessary solution methods associated with parabolic, hyperbolic and elliptic type partial differential equations. Chapter seven introduces transform methods for solving linear partial differential equations. Numerous examples associated with the Laplace, Fourier exponential, Fourier sine, Fourier cosine and selected finite Sturm-Liouville transforms are given. Chapter eight introduces Green's functions for ordinary differential equations and chapter nine finishes with applications of Green function techniques for solving linear partial differential equations.

There are four Appendices. The Appendix A contains units of measurements from the Système International d'Unitès along with some selected physical constants. The Appendix B contains solutions to selected exercises. The Appendix C lists mathematicians whose research has contributed to the area of partial differential equations. The Appendix D contains a short listing of integrals. The text has numerous illustrative worked examples and over 340 exercises.

The Great Math Experience is a collection of wonderful mathematics problems and ideas for their use in the middle school math classroom. Whether you are an experienced teacher or brand new, this book is sure to offer fresh ideas to help your students have a great math experience!

Each problem has been actually used in a real classroom with great success. The book lists the areas of mathematics that a problem encompasses and offers advice on how to introduce it to the class. The author offers sample questions that foster deep mathematic discussions and typical student responses.

Students in grades 5 through 9 are sure to benefit from these non-traditional, fun mathematic problems, which stimulate the profound mathematical thought that educators seek.

This book explores new and exciting ways with the Tangram puzzle. Many of the ideas are original both from the mathematical and artistic perspective. There are chapters on tessellating Tangrams, Tangram Mosaics and series of designs that exploit the precious nature of the tiles. A chapter is devoted to the creation of three dimensional objects and for the more mathematical mind there is a chapter on the representation of the designs using matrices. The book is full of remarkable illustrations, created by the author. If a picture is worth a thousand words then this book is a heavy tome.

Supplemental math textbook for high school students, with innovative features:

- shortcuts in solving linear equations and inequalities
- innovative techniques in solving by number line
- innovative approaches in solving by graphing, using graphing calculators

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"Circular Elliptics" is a new and radically different approach to the study of ellipses. It offers new insight into the relationships between the ellipse and the circle, through the concepts of "ellipticity" and the "elliptic family" with its parent circle.

In the process, a proof for an exact equation for the circumference of the ellipse is developed, and from this such measurements as slope, area, curvature and intersectional values arise.

Exploring the third dimension, relationships between a sphere and an ellipsoid of revolution are outlined. A final offering is an equation for the surface area of an ellipsoid of revolution.

This textbook entitled Trigonometry (Notes) is a complete and detailed account of trigonometry, including numerous solved problems and formula derivations with each and every step included. Furthermore, the textbook presents the development of trigonometry in a logical manner, starting with the definitions of the six trigonometric ratios on a right-triangle, and later generalizing these definitions for the rectangular coordinate system. Finally, the six trigonometric functions are abstracted from the six trigonometric functions. The textbook is essentially divided into two parts:

Trigonometry developed from the right-triangle, and

Trigonometry derived from the rectangular coordinate system.

Trigonometry (Notes) is intended for the student who wants to learn trigonometry completely and thoroughly, with a complete understanding of the concepts and their relationships to one another.

Except for the Table of Contents, the textbook is hand-written as opposed to typed; thus the word Notes in parentheses in the title.

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