Syamal Sen's Books

Computational Error and Complexity in Science and Engineering

Computational Error and Complexity

By: Vangipuram Lakshmikantham,Syamal Kumar Sen

Write a review Read reviews Take a Quiz Solve Book Puzzle

Computational Error and Complexity in Science and Engineering

Computational Error and Complexity

By: Vangipuram Lakshmikantham,Syamal Kumar Sen

The book "Computational Error and Complexity in Science and Engineering pervades all the science and engineering disciplines where computation occurs. Scientific and engineering computation happens to be the interface between the mathematical model/problem and the real world application. One needs to obtain good quality numerical values for any real-world implementation. Just mathematical quantities symbols are of no use to engineers/technologists. Computational complexity of the numerical method to solve the mathematical model, also computed along with the solution, on the other hand, will tell us how much computation/computational effort has been spent to achieve that quality of result. Anyone who wants the specified physical problem to be solved has every right to know the quality of the solution as well as the resources spent for the solution. The computed error as well as the complexity provide the scientific convincing answer to these questions. Specifically some of the disciplines in which the book will be readily useful are (i) Computational Mathematics, (ii) Applied Mathematics/Computational Engineering, Numerical and Computational Physics, Simulation and Modelling. Operations Research (both deterministic and stochastic), Computing Methodologies, Computer Applications, and Numerical Methods in Engineering.Key Features:- Describes precisely ready-to-use computational error and complexity- Includes simple easy-to-grasp examples wherever necessary.- Presents error and complexity in error-free, parallel, and probabilistic methods.- Discusses deterministic and probabilistic methods with error and complexity. - Points out the scope and limitation of mathematical error-bounds.- Provides a comprehensive up-to-date bibliography after each chapter.· Describes precisely ready-to-use computational error and complexity· Includes simple easy-to-grasp examples wherever necessary.· Presents error and complexity in error-free, parallel, and probabilistic methods.· Discusses deterministic and probabilistic methods with error and complexity. · Points out the scope and limitation of mathematical error-bounds.· Provides a comprehensive up-to-date bibliography after each chapter.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

261

Publisher

Elsevier

Published Date

ISBN 10

008045951X

ISBN 13

9780080459516

Zero

A Landmark Discovery, the Dreadful Void, and the Ultimate Mind

By: Syamal K. Sen,Ravi P. Agarwal

Write a review Read reviews Take a Quiz Solve Book Puzzle

Zero

A Landmark Discovery, the Dreadful Void, and the Ultimate Mind

By: Syamal K. Sen,Ravi P. Agarwal

Zero indicates the absence of a quantity or a magnitude. It is so deeply rooted in our psyche today that nobody will possibly ask "What is zero?" From the beginning of the very creation of life, the feeling of lack of something or the vision of emptiness/void has been embedded by the creator in all living beings. While recognizing different things as well as the absence of one of these things are easy, it is not so easy to fathom the complete nothingness viz. the universal void. Although we have a very good understanding of nothingness or, equivalently, a zero today, our forefathers had devoted countless hours and arrived at the representation and integration of zero and its compatibility not only with all non-zero numbers but also with all conceivable environments only after many painstaking centuries. Zero can be viewed/perceived in two distinct forms: (i) as a number in our mundane affairs and (ii) as the horrific void or Absolute Reality in the spiritual plane/the ultimate state of mind. Presented are the reasons why zero is a landmark discovery and why it has the potential to conjure up in an intense thinker the dreadful nothingness unlike those of other numbers such as 1, 2, and 3. Described are the representation of zero and its history including its deeper understanding via calculus, its occurrences and various roles in different countries as well as in sciences/engineering along with a stress on the Indian zero that is accepted as the time-invariant unique absolute zero. This is followed by the significant distinction between mathematics and computational mathematics and the concerned differences between the unique absolute zero and non-unique relative numerical zeros and their impact and importance in computations on a digital computer. - Introduces the history of the value of zero and why it was a landmark discovery - Discusses how zero is used in science and engineering and its use in different countries - Explains how zero affects different mathematics and calculus

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

167

Publisher

Academic Press

Published Date

ISBN 10

0128046244

ISBN 13

9780128046241

Creators of Mathematical and Computational Sciences

By: Ravi P Agarwal,Syamal K Sen

Write a review Read reviews Take a Quiz Solve Book Puzzle

Creators of Mathematical and Computational Sciences

By: Ravi P Agarwal,Syamal K Sen

The book records the essential discoveries of mathematical and computational scientists in chronological order, following the birth of ideas on the basis of prior ideas ad infinitum. The authors document the winding path of mathematical scholarship throughout history, and most importantly, the thought process of each individual that resulted in the mastery of their subject. The book implicitly addresses the nature and character of every scientist as one tries to understand their visible actions in both adverse and congenial environments. The authors hope that this will enable the reader to understand their mode of thinking, and perhaps even to emulate their virtues in life.

Average ratings

N/A