Critical Book Report: Arranged by [PDF]

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CRITICAL BOOK REPORT



Mathematical Methods in the Physical Sciences 2nd edition by Mary L Boas  



         



 



Arranged By



Name : Ali Ahmatul Umri Hasibuan NIM : 4212451001 Class : NSESP 2021 Degree : S-1 Subject : ITDL



Submitted on September 30th 2021



NATURAL SCIENCE EDUCATION STUDY PROGRAM FACULTY OF MATHEMATICS AND SCIENCE MEDAN STATE UNIVERSITY 2021



INTRODUCTION CBR or Critical Book Report is one of the tasks given to students at university. Critical Book Report is an activity to criticize the book to find out the weaknesses and shortcomings in the book, both in the systematics of writing, the use of language, the content of the material and the appearance of the book. This is done so that the book that is criticized can be revised so that it becomes a better book. By doing a Critical Book Report, writers and readers will know the background and reasons for a book being created. This writing also aims to complete ITDL lecture assignments at the State University of Medan. The book that will be reviewed in this report is entitled Mathematical Methods in the Physical Sciences 2nd edition. This book is determined directly by the lecturer so that there is no special personal reason why this book was chosen for report. Mathematical Methods in the Physical Sciences 2nd edition written by Mary L Boas and published in 1983 by John Wiley & Sons Inc. Mary Layne Boas (1917–2010) was an American mathematician and physics professor, best known as the author of Mathematical Methods in the Physical Sciences (1966), an undergraduate textbook that was still widely used in college classrooms as of 1999. She received a bachelor's degree (1938) and a master's degree (1940) in mathematics at the University of Washington, and a Ph.D. (1948) in physics at the Massachusetts Institute of Technology. She taught physics at DePaul University in Chicago for thirty years, retiring in 1987 to return to Washington. Prior to her time at DePaul University, she served as an instructor in the mathematics department at Duke University. Mary Boas was married to mathematician Ralph P. Boas, Jr. Her son, Harold P. Boas, is also a noted mathematician. She died on February 17, 2010, at her home near Seattle, Washington.



SUMMARY OF BOOK 1. Infinite series, power series In this chapter, contains some material about geometry and all about series. 2. Complex numbers In this chapter, contains some material about real and imaginary number, complex number, logarithms, functions and inverses 3. Linear equations In this chapter, contains some material about vectors, matrices and determinants 4. Partial differential In this chapter, contains some material about total differential, chain rule, change of variables and differential of integral. 5. Multiple integrals In this chapter, contains some material about application of integrals 6. Vector analysis In this chapter, contains some material about application of vector, triple products, gradient, some theorem and line integrals 7. Fourier series In this chapter, contains some material about simple harmonic motion and wave motion, fourier coefficients and other intervals. 8. Ordinary differential equations In this chapter, contains some material about Ordinary differential equations 9. Calculus of variation In this chapter, contains some material about Calculus of variation 10. Coordinate Transformation; Tensor analysis In this chapter, contains some material about Tensor analysis 11. Gamma. Beta, and Error Functions; Asymptotic Series; Striling’s Formula; Elliptic Integrals and Functions. 12. Series solutions of differential equation; Legendre, Bessel, Sets of Orthogonal functions 13. Partial differential equations. 14. Functions of a complex variable 15. Integral Transforms 16. Probability



CRITICAL EVALUATION Shortly, the Mathematical Methods in The Physical Sciences book by Mary L. Boas is one of a series of physics books that focuses on the approach of mathematical methods in physics cases. This mathematical physics book provides comprehensive information related to solving problems in the scope of both classical and modern physics through a mathematical method approach. This book consists of 16 chapters, each chapter is equipped with several sub-chapters. The material presented in this book is quite good. Each material is discussed in detail and is equipped with several sample questions to make it easier for readers to understand the contents of the book. The style of language used is also quite easy to understand because the discussion is not long-winded or to the point. This book is equipped with a competency test in the form of exercises in the form of questions at the end of each sub-chapter. This will train the reader's understanding even more deeply. In addition, the questions provided are quite varied and not monotonous. In terms of layout, the book Mathematical Methods in The Physical Sciences is also quite good. Starting from the cover, introduction, preface, table of contents, discussion of material, references to index. But unfortunately this book is not equipped with a glossary so that readers will find it a little difficult to find mathematical or physical terms that are rarely known in general. From a visual and physical point of view, the cover of this book cannot be judged. Because the book Methods in The Physical Sciences is reviewed in softcopy. In addition, the softcopy of this book is not original (photocopy). So it is very unethical to criticize it. Another advantage of this book is that it contains several graphs or tables in each chapter or each sub-chapter. This of course will make it easier for readers to understand the material presented. However, the graphics that are loaded are still quite small. This Mathematical Methods in The Physical Sciences book does not contain pictures or illustrations, so the readers will feel a little bored when reading this book. Moreover, this book contains material on physics and mathematics which in general are very difficult subjects to learn. This book should contain several illustrations in order to increase the interest and interest of the readers. For completeness of the contents of the material in this book there are still some topics that are not included. This can be seen when comparing the second edition of Methods in The Physical Sciences with the third edition of Methods in The Physical Sciences. In



addition, the materials contained in the third edition of the book are more recent than the first edition. Mathematical Methods in The Physical Sciences is a book that is quite interesting and easy to understand and is very suitable to be used as teaching material. Because as we all know that a textbook must function as an interest and motivation for students and readers. Reader motivation can arise because the language is simple, flowing, and easy to understand. Motivation can arise because of many new ideas and ideas. Motivation can also arise because the textbook contains a variety of information that is relevant to the learning needs of students and readers, and is not information that is delivered over and over again. And all of those things are in this book, although it needs a bit of updating regarding the material contained in it. The book Mathematical Methods in The Physical Sciences is also a very interesting book because it discusses two disciplines in one book at once. In addition to containing material on mathematics, this book also contains material on physics. So by studying this book the readers can get two knowledges. This is the same as the old saying “while diving in drinking water”. Although discussing the two disciplines does not necessarily make the discussion of the material in the Mathematical Methods in The Physical Sciences book halfhearted or not optimal. And it should be emphasized that this book is basically a math book, so the material that discusses physics is much less than the material that discusses mathematics. This mathematical physics book by Boas is mostly used by lecturers as a reference for their learning. Therefore, this book is suitable as your reference to enrich mathematical physics. Mathematical Concepts in the Physical Sciences provides a comprehensive introduction to the field of mathematical physics. It combines all the important mathematical concepts into one concise and clearly written reference.



CONCLUSION Mathematical Methods in The Physical Sciences 2nd edition by Mary L. Boas is one of a series of physics books that focuses on the approach of mathematical methods in physics cases. This mathematical physics book provides comprehensive information related to solving problems in the scope of both classical and modern physics through a mathematical method approach. This book consists of 16 chapters, each chapter is equipped with several sub-chapters. Mathematical Methods in The Physical Sciences 2nd edition by Mary L. Boas is good and deserves to be used as reading material or source and very suitable to be used as teaching material. Although it needs a bit of updating regarding the material contained in it, so that this book becomes much better.



RECOMMENDATION



Authors are advised to update the discussion material contained in the book. Although the material contained is quite complete, it would be even better if it was discussed in more detail and updated. So that in the future this book can be used as a source of better and complete teaching materials. It is suggested to the author to complete the book with various interesting features that can increase the interest and interest of the readers to get around the boredom of the readers when reading this book. Not only for writers, this suggestion is also intended for the public or other writers who want to write books.