All you wanted to know about mathematics but were afraid to ask : mathematics for science students

著者

• Lyons, Louis

書誌事項

All you wanted to know about mathematics but were afraid to ask : mathematics for science students

Louis Lyons

Cambridge University Press, 1995-1998

• : set
• v. 1
• v. 1 : pbk
• v. 2
• v. 2 : pbk

注記

Includes index

内容説明・目次

巻冊次

v. 1 ISBN 9780521434652

内容説明

Why is the square root of minus one relevant to electrical circuits? Can geometry be used to solve problems in the physical sciences? How could you help a being on a distant planet distinguish left and right? With a clear understanding of mathematics, these questions can be solved. But in many textbooks, mathematical proofs and techniques cloud the issue of understanding the physical principles. This book shows why particular techniques are useful by providing clear and full explanations. The aim is to convey a deeper appreciation of mathematical methods that are applicable to physics and engineering. A wide range of real physical problems are discussed. The author has thirty years experience of teaching mathematics to undergraduates. This book is based on the explanations he has found to be most successful in teaching.

目次

• Preface
• 1. Simultaneous equations
• 2. Three-dimensional geometry
• 3. Vectors
• 4. Complex numbers
• 5. Differential equations
• 6. Partial derivatives
• 7. Taylor series
• 8. Lagrange multipliers
• Appendix 1. Basic techniques
• Appendix 2. Useful formulae.

巻冊次

v. 2 ISBN 9780521434669

内容説明

This book, first published in 1998, is the second in a two volume work and introduces integral and differential calculus, waves, matrices, and eigenvectors for undergraduates in physics and engineering. Together, the two volumes cover all the mathematics needed for an introductory course in the physical sciences. The approach taken is to learn through understanding real examples, showing mathematics as a tool for understanding physical systems and their behaviour. The aim is to make the student feel at home with real problems by creating a toolkit through a wide range of examples. The traditional approach of teaching theory for its own sake is not used in this course. Dr. Lyons brings a wealth of teaching experience to this refreshing textbook on the fundamentals of mathematics for physics and engineering.

目次

• Chapter titles for volume 1
• Preface
• 9. Integrals
• 10. Vector operators
• 11. Partial differential equations
• 12. Fourier series
• 13. Normal modes
• 14. Waves
• 15. Matrices
• 16. Eigenvectors and eigenvalues
• Appendix
• Index.

巻冊次

v. 1 : pbk ISBN 9780521436007

内容説明

Why is the square root of minus one relevant to electrical circuits? Can geometry be used to solve problems in the physical sciences? How could you help a being on a distant planet distinguish left and right? With a clear understanding of mathematics, these questions can be solved. But in many textbooks, mathematical proofs and techniques cloud the issue of understanding the physical principles. This book shows why particular techniques are useful by providing clear and full explanations. The aim is to convey a deeper appreciation of mathematical methods that are applicable to physics and engineering. A wide range of real physical problems are discussed. The author has thirty years experience of teaching mathematics to undergraduates. This book is based on the explanations he has found to be most successful in teaching.

目次

• Preface
• 1. Simultaneous equations
• 2. Three-dimensional geometry
• 3. Vectors
• 4. Complex numbers
• 5. Differential equations
• 6. Partial derivatives
• 7. Taylor series
• 8. Lagrange multipliers
• Appendix 1. Basic techniques
• Appendix 2. Useful formulae.

巻冊次

v. 2 : pbk ISBN 9780521436014

内容説明

This book, first published in 1998, is the second in a two volume work and introduces integral and differential calculus, waves, matrices, and eigenvectors for undergraduates in physics and engineering. Together, the two volumes cover all the mathematics needed for an introductory course in the physical sciences. The approach taken is to learn through understanding real examples, showing mathematics as a tool for understanding physical systems and their behaviour. The aim is to make the student feel at home with real problems by creating a toolkit through a wide range of examples. The traditional approach of teaching theory for its own sake is not used in this course. Dr. Lyons brings a wealth of teaching experience to this refreshing textbook on the fundamentals of mathematics for physics and engineering.

目次

• Chapter titles for volume 1
• Preface
• 9. Integrals
• 10. Vector operators
• 11. Partial differential equations
• 12. Fourier series
• 13. Normal modes
• 14. Waves
• 15. Matrices
• 16. Eigenvectors and eigenvalues
• Appendix
• Index.

巻冊次

: set ISBN 9780521627634

内容説明

Together, the two volumes cover all the mathematics needed for an introductory course in the physical sciences. The approach taken is to learn through understanding real examples, showing mathematics as a tool for understanding physical systems and their behaviour. The aim is to make the student feel at home with real problems by creating a toolkit through a wide range of examples. The traditional approach of teaching theory for its own sake is not used in this course. Dr Lyons brings a wealth of teaching experience to this refreshing textbook on the fundamentals of mathematics for physics and engineering.

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BA26026455
• ISBN:
  • 052162763X
  • 0521434653
  • 0521436001
  • 0521434661
  • 052143601X
• LCCN: 94028451
• 出版国コード: uk
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Cambridge
• ページ数/冊数: 2 v.
• 大きさ: 24 cm
• 分類:
  • LCC : QA39.2
  • DC20 : 510
• 件名:
  • LCSH : Mathematics