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This third edition extends the focus of the book to academia to also support variational calculus and mathematical modeling classes. The newly added sections, extended explanations, numerous examples and exercises aid the students in learning, the professors in teaching, and the engineers in applying variational concepts.

This book's specific goal is to provide a working knowledge of the various approximation techniques for engineering practice. Therefore, many sections are illuminated by either a computational example or an algorithm to enhance understanding and provide a template for the reader's own application of the technique. The more advanced techniques ar

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In this easily readable volume, the author explains some of the reasons for our preference toward the number seven. He reviews its occurrences in our cultural, biological, chemical, physical, algebraic and geometrical world in an attempt to find the reasons behind them.

In this easily readable volume, the author explains some of the reasons for our preference toward the number seven. He reviews its occurrences in our cultural, biological, chemical, physical, algebraic and geometrical world in an attempt to find the reasons behind them.

In this enjoyable and lightheaded volume, he gathers a plethora of cultural, biological, geometrical, algebraic, and planetary phenomena of our lives related to the number five.He investigates these occurrences in various facets of life on earth and seeks plausible explanations for some of them and hypothesizes about some others while widening your horizon.

In this enjoyable and lightheaded volume, he gathers a plethora of cultural, biological, geometrical, algebraic, and planetary phenomena of our lives related to the number five.He investigates these occurrences in various facets of life on earth and seeks plausible explanations for some of them and hypothesizes about some others while widening your horizon.

In Cycles of Time, author Louis Komzsik offers a comprehensive study of time, its relation to astronomy, and its relative nature. He reviews interesting tidbits of the historical evolution of our understanding of time and discusses some philosophical ideas about the topic. He explores the history of time, its origins in the celestial cycles observed by ancient cultures, and the expansion of our time horizon into cosmic cycles. He examines and ...

In Cycles of Time, author Louis Komzsik offers a comprehensive study of time, its relation to astronomy, and its relative nature. He reviews interesting tidbits of the historical evolution of our understanding of time and discusses some philosophical ideas about the topic. He explores the history of time, its origins in the celestial cycles observed by ancient cultures, and the expansion of our time horizon into cosmic cycles. He examines and ...

Gravity is the most detectable physical phenomenon of the universe. Nothing or nobody can escape its grasp, even in very large, astronomical distances. It is manifested in many aspects of our lives. Yet we are still not really sure what carries it.The gradually increasing understanding of gravity throughout history and its observed effects in various physical fields are the subjects of this book. This is an enlightening read about one of the m...

Gravity is the most detectable physical phenomenon of the universe. Nothing or nobody can escape its grasp, even in very large, astronomical distances. It is manifested in many aspects of our lives. Yet we are still not really sure what carries it.The gradually increasing understanding of gravity throughout history and its observed effects in various physical fields are the subjects of this book. This is an enlightening read about one of the m...

Have you ever wondered about our strong preference for the number twelve in our lives? Why are we measuring time in twelve hours and many other things in units of twelve? How about the many occurrences of geometric manifestations of twelve in nature? Is our geometry describing nature, or is nature imitating our geometry? If you have an enquiring mind and seek a better understanding of the peculiar roles of certain numbers in our universe, if y...

Have you ever wondered about our strong preference for the number twelve in our lives? Why are we measuring time in twelve hours and many other things in units of twelve? How about the many occurrences of geometric manifestations of twelve in nature? Is our geometry describing nature, or is nature imitating our geometry? If you have an enquiring mind and seek a better understanding of the peculiar roles of certain numbers in our universe, if y...

Based on the author's 30 years of practical experience in finite element analysis (FEA), this text describes the solutions to physical problems using specific computational techniques. All of the tools needed for efficient use and practical implementation of FEA are included.