This book introduces ten equations that transcend the boundaries of time and space. It takes readers through a journey of self-discovery where they will learn the history, science, and significance of these equations in the context of their lives. Moreover, the mathematical beauty of these equations is presented in a profoundly modest fashion to highlight the idea that equations are eternal but humans are transient. Each chapter offers readers a sublime experience and provides insights into the laws of nature that address the ever-expanding intricacy of our universe. The history of humankind, according to Franz Kafka, is the instant between two strides taken by a traveler. Therefore, what remains eternal when we finish our journey on this tiny rocky planet is our deep desire to connect wi...

This textbook covers the subject of real analysis from the fundamentals up through beginning graduate level. It is appropriate as an introductory course text or a review text for graduate qualifying examinations. Some special features of the text include a thorough discussion of transcendental functions such as trigonometric, logarithmic, and exponential from power series expansions, deducing all important functional properties from the series definitions. The text is written in a user-friendly manner, and includes full solutions to all assigned exercises throughout the text.

College geometry students, professors interested in undergraduate research and secondary geometry teachers will find three rich environments in this textbook. The first chapter contains many of the standards of Euclidean college geometry. The second and third chapters introduce non-Euclidean models where some Euclidean rules hold and others do not. With emphases on constructions and proofs, the reader is encouraged to create the objects under investigation and verify the results with reasoning. Since both models of “bent” spaces exist in Euclidean geometry, the reader gains facility with Euclidean moves through the whole book, even while exploring non-Euclidean spaces. The book itself is meant to be unpacked, expanded and taken further, just like the problems it contains. Geometry b...

The Math Handbook has been developed for students with Dyscalculia and others who are struggling with mathematics. The book is based upon the Singapore Primary Mathematics curriculum, as well as the International Math curriculum. More than twenty topics are covered and explained step by step through visual representation to convey mathematical concepts. It has been specially developed for: • Students who have been diagnosed with Dyscalculia; other terms may include Mathematics Learning Disability, or Mathematics Disorder • Students who have been diagnosed with Dyslexia; as according to research more than fifty percent of those experience difficulties with mathematics. Some students may have Dyslexia and Dyscalculia as co-existing disorders • Students diagnosed with ADHD; as the...

Graph theory, and graph labeling in particular, are fast-growing research areas in mathematics. New results are constantly being discovered and published at a rapidly increasing rate due to the enormous number of open problems and conjectures in the field. This book deals mainly with the super edge-antimagic branch of graph labeling. It is written for specialists, but could be read also by postgraduate or undergraduate students with high school knowledge of mathematics and a vibrant interest in problem-solving.

This is a course in boundary element methods for the absolute beginners. Basic concepts are carefully explained through the use of progressively more complicated boundary value problems in engineering and physical sciences. The readers are assumed to have prior basic knowledge of vector calculus (covering topics such as line, surface and volume integrals and the various integral theorems), ordinary and partial differential equations, complex variables, and computer programming.

This book contains a brief course in elementary linear algebra with emphasis on solving systems of linear algebraic and ordinary differential equations. It is written for undergraduate students in the disciplines of applied mathematics, science and engineering. Topics covered include basics of matrices and vectors, systems of linear algebraic equations, matrix inverse, matrix determinant, eigenvalues and eigenvectors, matrix diagonalization, and systems of first order linear ordinary differential equations. The connections between the topics are carefully elucidated. Derivations or proofs are given in detail for all the main results in the book. Basic knowledge of the arithmetic of complex numbers and exposure to elementary functions and calculus are assumed. Problems are set at the end of...

This book undertakes the unusual task of correcting and proposing supplements to the Landau and Lifshitz's highly celebrated textbook titled: The Classical Theory of Fields 1, which has been extraordinarily influential. Its first edition was published in 1939, and new editions in many languages continue to be published. Furthermore, it is still cited in scientific works several hundred times each year. The Classical Electrodynamic Part of Landau and Lifshitz's Textbook The Classical Theory of Fields is rigorously analyzed. The need for corrections is proved. The distinction between bound fields and radiation fields is stipulated. Apparent paradoxes, like the "hidden momentum" concept and the 4/3 factor of the Lorentz transformation of the electromagnetic fields' momentum of a charged p...

Solving the linear equation system n x n can also be a problem for a computer, even when the number of equations and unknowns is relatively small (a few hundred). All existing methods are burdened by at least one of the following problems: 1) Complexity of computation expressed through the number of operations required to be done to obtaining solution; 2) Unrestricted growth of the size of the intermediate result, which causes overflow and underflow problems; 3) Changing the value of some coefficients in the input system, which causes the instability of the solution; 4) Require certain conditions for convergence, etc.In this paper an approximate and exact methods for solving a system of linear equations with an arbitrary number of equations and the same number of unknowns is presented. Al...

This book is devoted to anyone who is in search of beauty in mathematics, and mathematics in the beauty around us. Attempting to combine mathematical rigor and magnificence of the visual perception, the author is presenting the mathematical study of phyllotaxis, the most beautiful phenomenon of the living nature. The distinctive feature of this book is an animation feature that explains the work of mathematical models and the transformation of 3D space.The analysis of the phyllotactic pattern as a system of discrete objects together with the mathematical tools of generalized sequences made it possible to find a universal algorithm for calculating the divergence angle. In addition, it is serving as a new proof of the fundamental theorem of phyllotaxis and analytically confirming well-known ...

This book was written to help college students understand physics without complicated math. Each year thousands of college students pursuing business and humanities degrees find themselves taking a course in introductory physics. But many will have serious trouble solving physics problems because they do not have enough experience using mathematical equations. Understanding physics is challenging without a strong math background, but not impossible. Unlike other introductions to physics, this book explains the basic concepts in classical mechanics with a minimal amount mathematical expressions so new students can spend their time learning physics, not math. The result is not only a better understanding of physics, but possibly a better grade. This study guide covers the three aspects of ...

This One-Sheet-A-Day math drill workbook is for 2nd grade students who want extra practice with two numbers, two digits subtraction. It contains 200 math practice sheets, one for each school day of the year. Upon completion, the student will be more competent in 2nd grade mathematics and ready to proceed with more difficult exercises. Unlike other math drill books, this is one of 24 workbooks created to establish a daily routine for each student to practice on their own from grades 1 through 7. It is specifically designed to gradually increase mathematic ability with the least amount of stress for both parent and student. Kids need to practice at home to support what they are learning in school, but finding resources to help with that goal can be daunting. It takes a lot of time searching...

This One-Sheet-A-Day math drill workbook is for 3rd grade students who want extra practice with two numbers, three digits addition. It contains 200 math practice sheets, one for each school day of the year. Upon completion, the student will be more competent in 3rd grade mathematics and ready to proceed with more difficult exercises. Unlike other math drill books, this is one of 24 workbooks created to establish a daily routine for each student to practice on their own from grades 1 through 7. It is specifically designed to gradually increase mathematic ability with the least amount of stress for both parent and student. Kids need to practice at home to support what they are learning in school, but finding resources to help with that goal can be daunting. It takes a lot of time searching ...

One of the primary concerns in a small business is the problem of risk. Many who begin the start-up process terminate it in less than one year. Of those that survive, many are unable to achieve sustained growth and profits. Small-to-medium business enterprises (SME) have a 50% to 90% chance of failure within the first five years. While there are measures of personal risk behavior of entrepreneurs, the literature contains no measure of risk orientation for the enterprise. The purpose of this study was to develop and validate a researcher-designed instrument to measure the critical forces of business risk. The 37-item Entrepreneurial Risk Assessment Scale (ERAS) was developed from key theoretical concepts grounded in economics, marketing, management, finance, and entrepreneurship literatu...

Some unwritten stories only exist in fragments. In this book, for the first time, the histories of the injunction against idolatry and the dread of infinity are uniquely woven into one. The spectre of idolatry has haunted the three Western religions since the biblical prohibition. The story of iconoclasm runs from ancient times, where Jews largely ignored the ban on images, through the iconoclastic episodes in Islam and Christianity, and into modern times during the French Revolution. A perhaps surprising thesis of this book is that a conceptual and secular form of iconoclasm continued as the revulsion of illusionism in Modern Art. More recently it flared-up in the dynamiting of two large statues of the Buddha by the Taliban in Afghanistan in 2001. The phobia of infinity arose from P...

This One-Sheet-A-Day math drill workbook is for 4rd grade students who want extra practice with four and five digits subtraction. It contains 200 math practice sheets, one for each school day of the year. Upon completion, the student will be more competent in 4rd grade mathematics and ready to proceed with more difficult exercises. Unlike other math drill books, this is one of 24 workbooks created to establish a daily routine for each student to practice on their own from grades 1 through 7. It is specifically designed to gradually increase mathematic ability with the least amount of stress for both parent and student.Kids need to practice at home to support what they are learning in school, but finding resources to help with that goal can be daunting. It takes a lot of time searching onli...

This One-Sheet-A-Day math drill workbook is for 5th grade students who want extra practice with two number addition with decimals from hundredths to thousandths. It contains 200 math practice sheets, one for each school day of the year. Upon completion, the student will be more competent in 5th grade mathematics and ready to proceed with more difficult exercises. Unlike other math drill books, this is one of 24 workbooks created to establish a daily routine for each student to practice on their own from grades 1 through 7. It is specifically designed to gradually increase mathematic ability with the least amount of stress for both parent and student.Kids need to practice at home to support what they are learning in school, but finding resources to help with that goal can be daunting. It ta...

This One-Sheet-A-Day math drill workbook is for 5th grade students who want extra practice with two numbers subtraction with decimals from hundredths to thousandths. It contains 200 math practice sheets, one for each school day of the year. Upon completion, the student will be more competent in 5th grade mathematics and ready to proceed with more difficult exercises. Unlike other math drill books, this is one of 24 workbooks created to establish a daily routine for each student to practice on their own from grades 1 through 7. It is specifically designed to gradually increase mathematic ability with the least amount of stress for both parent and student.Kids need to practice at home to support what they are learning in school, but finding resources to help with that goal can be daunting. ...

This One-Sheet-A-Day math drill workbook is for 6th grade students who want extra practice with two number addition with decimals up to thousandths. It contains 200 math practice sheets, one for each school day of the year. Upon completion, the student will be more competent in 6th grade mathematics and ready to proceed with more difficult exercises. Unlike other math drill books, this is one of 24 workbooks created to establish a daily routine for each student to practice on their own from grades 1 through 7. It is specifically designed to gradually increase mathematic ability with the least amount of stress for both parent and student.Kids need to practice at home to support what they are learning in school, but finding resources to help with that goal can be daunting. It takes a lot of ...

This One-Sheet-A-Day math drill workbook is for 6th grade students who want extra practice with two number subtraction with decimals up to thousandths. It contains 200 math practice sheets, one for each school day of the year. Upon completion, the student will be more competent in 6th grade mathematics and ready to proceed with more difficult exercises. Unlike other math drill books, this is one of 24 workbooks created to establish a daily routine for each student to practice on their own from grades 1 through 7. It is specifically designed to gradually increase mathematic ability with the least amount of stress for both parent and student.Kids need to practice at home to support what they are learning in school, but finding resources to help with that goal can be daunting. It takes a lot...

This One-Sheet-A-Day math drill workbook is for 6th grade students who want extra practice with two number multiplication. It contains 200 math practice sheets, one for each school day of the year. Upon completion, the student will be more competent in 6th grade mathematics and ready to proceed with more difficult exercises. Unlike other math drill books, this is one of 24 workbooks created to establish a daily routine for each student to practice on their own from grades 1 through 7. It is specifically designed to gradually increase mathematic ability with the least amount of stress for both parent and student.Kids need to practice at home to support what they are learning in school, but finding resources to help with that goal can be daunting. It takes a lot of time searching online for ...

This One-Sheet-A-Day math drill workbook is for 6th grade students who want extra practice with two number division. It contains 200 math practice sheets, one for each school day of the year. Upon completion, the student will be more competent in 6th grade mathematics and ready to proceed with more difficult exercises. Unlike other math drill books, this is one of 24 workbooks created to establish a daily routine for each student to practice on their own from grades 1 through 7. It is specifically designed to gradually increase mathematic ability with the least amount of stress for both parent and student.Kids need to practice at home to support what they are learning in school, but finding resources to help with that goal can be daunting. It takes a lot of time searching online for free ...

This One-Sheet-A-Day math drill workbook is for 7th grade students who want extra practice with multiplication of decimals up to thousandths with one or two digits. It contains 200 math practice sheets, one for each school day of the year. Upon completion, the student will be more competent in 7th grade mathematics and ready to proceed with more difficult exercises. Unlike other math drill books, this is one of 24 workbooks created to establish a daily routine for each student to practice on their own from grades 1 through 7. It is specifically designed to gradually increase mathematic ability with the least amount of stress for both parent and student.Kids need to practice at home to support what they are learning in school, but finding resources to help with that goal can be daunting. It...

This One-Sheet-A-Day math drill workbook is for 7th grade students who want extra practice with two number division. It contains 200 math practice sheets, one for each school day of the year. Upon completion, the student will be more competent in 7th grade mathematics and ready to proceed with more difficult exercises. Unlike other math drill books, this is one of 24 workbooks created to establish a daily routine for each student to practice on their own from grades 1 through 7. It is specifically designed to gradually increase mathematic ability with the least amount of stress for both parent and student.Kids need to practice at home to support what they are learning in school, but finding resources to help with that goal can be daunting. It takes a lot of time searching online for free ...

This One-Sheet-A-Day math drill workbook is for 3rd grade students who want extra practice with two numbers, one digit division. It contains 200 math practice sheets, one for each school day of the year. Upon completion, the student will be more competent in 4th grade mathematics and ready to proceed with more difficult exercises. Unlike other math drill books, this is one of 24 workbooks created to establish a daily routine for each student to practice on their own from grades 1 through 7. It is specifically designed to gradually increase mathematic ability with the least amount of stress for both parent and student.Kids need to practice at home to support what they are learning in school, but finding resources to help with that goal can be daunting. It takes a lot of time searching onli...

This One-Sheet-A-Day math drill workbook is for 4th grade students who want extra practice with four digits addition. It contains 200 math practice sheets, one for each school day of the year. Upon completion, the student will be more competent in 4th grade mathematics and ready to proceed with more difficult exercises. Unlike other math drill books, this is one of 24 workbooks created to establish a daily routine for each student to practice on their own from grades 1 through 7. It is specifically designed to gradually increase mathematic ability with the least amount of stress for both parent and student.Kids need to practice at home to support what they are learning in school, but finding resources to help with that goal can be daunting. It takes a lot of time searching online for free...

This One-Sheet-A-Day math drill workbook is for 4th grade students who want extra practice with two digit multiplication. It contains 200 math practice sheets, one for each school day of the year. Upon completion, the student will be more competent in 4th grade mathematics and ready to proceed with more difficult exercises. Unlike other math drill books, this is one of 24 workbooks created to establish a daily routine for each student to practice on their own from grades 1 through 7. It is specifically designed to gradually increase mathematic ability with the least amount of stress for both parent and student.Kids need to practice at home to support what they are learning in school, but finding resources to help with that goal can be daunting. It takes a lot of time searching online for ...

This One-Sheet-A-Day math drill workbook is for 4th grade students who want extra practice with two digit division. It contains 200 math practice sheets, one for each school day of the year. Upon completion, the student will be more competent in 4th grade mathematics and ready to proceed with more difficult exercises. Unlike other math drill books, this is one of 24 workbooks created to establish a daily routine for each student to practice on their own from grades 1 through 7. It is specifically designed to gradually increase mathematic ability with the least amount of stress for both parent and student.Kids need to practice at home to support what they are learning in school, but finding resources to help with that goal can be daunting. It takes a lot of time searching online for free r...

This One-Sheet-A-Day math drill workbook is for 5th grade students who want extra practice with two numbers subtraction with decimals from hundredths to thousandths. It contains 200 math practice sheets, one for each school day of the year. Upon completion, the student will be more competent in 5th grade mathematics and ready to proceed with more difficult exercises. Unlike other math drill books, this is one of 24 workbooks created to establish a daily routine for each student to practice on their own from grades 1 through 7. It is specifically designed to gradually increase mathematic ability with the least amount of stress for both parent and student.Kids need to practice at home to support what they are learning in school, but finding resources to help with that goal can be daunting. ...

This One-Sheet-A-Day math drill workbook is for 5th grade students who want extra practice with two number division with decimals from hundredths to thousandths. It contains 200 math practice sheets, one for each school day of the year. Upon completion, the student will be more competent in 5th grade mathematics and ready to proceed with more difficult exercises. Unlike other math drill books, this is one of 24 workbooks created to establish a daily routine for each student to practice on their own from grades 1 through 7. It is specifically designed to gradually increase mathematic ability with the least amount of stress for both parent and student.Kids need to practice at home to support what they are learning in school, but finding resources to help with that goal can be daunting. It t...