A. F. J. Levi
University of Southern California

Applied Quantum Mechanics, 2nd Edition

Hardback (ISBN-13: 9780521860963 | ISBN-10: 0521860962)

Electrical and mechanical engineers, materials scientists and applied physicists will find Levi's uniquely practical explanation of quantum mechanics invaluable. This updated and expanded edition of the bestselling original text now covers quantization of angular momentum and quantum communication, and problems and additional references are included. Using real-world engineering examples to engage the reader, the author makes quantum mechanics accessible and relevant to the engineering student. Numerous illustrations, exercises, worked examples and problems are included; Matlab source codes to support the text are available from www.cambridge.org/9780521860963.


* Engaging style with many examples and important real-world applications
* Reviews classical mechanics and electromagnetism; develops both analytic and numerical methods
* Detailed solutions to exercises and separate problems are given at the end of each chapter; instructor’s solutions to problems and Matlab code are provided on the web

Contents

Preface to the second edition; Preface to the first edition; Matlab programs; 1. Introduction; 2. Toward quantum mechanics; 3. Using the Schrodinger wave equation; 4. Electron propagation; 5. Eigenstates and operators; 6. The harmonic oscillator; 7. Fermions and bosons; 8. Time-dependent perturbation; 9. The semiconductor laser; 10. Time-independent perturbation; 11. Angular momentum and the hydrogenic atom; A. Physical values; B. Coordinates; C. Expansions, differentiation, integrals, and mathematical relations; D. Matrices and determinants; E. Vector calculus and Maxwell’s equations; F. The Greek alphabet; Index.

Bernhard O. Palsson
University of California, San Diego

Systems Biology
Properties of Reconstructed Networks

Hardback (ISBN-13: 9780521859035 | ISBN-10: 0521859034)

Genome sequences are now available that enable us to determine the biological components that make up a cell or an organism. The new discipline of systems biology examines how these components interact and form networks, and how the networks generate whole cell functions corresponding to observable phenotypes. This textbook, the first devoted to systems biology, describes how to model networks, how to determine their properties, and how to relate these to phenotypic functions. The prerequisites are some knowledge of linear algebra and biochemistry. Though the links between the mathematical ideas and biological processes are made clear, the book reflects the irreversible trend of increasing mathematical content in biology education. Therefore to assist both teacher and student, in an associated web site Palsson provides problem sets, projects and Powerpoint slides, and keeps the presentation in the book concrete with illustrative material and experimental results.

* First textbook in the new field of systems biology
* Associated website with slides, projects, problems
* Open layout, summary points, guides to literature, lots of illustrations

Contents

Preface; 1. Introduction; 2. Basic concepts in systems biology; Part I. Reconstruction of Biochemical Networks: 3. Metabolic networks; 4. Regulatory networks; 5. Signalling networks; Part II. Mathematical Representation of Reconstructed Networks: 6. Basic features of S; 7. Topological properties; 8. Fundamental subspaces; 9. Null space of S; 10. The left null space of S; 11. The row and column spaces of S; Part III. Capabilities of Reconstructed Networks: 12. Dual causality; 13. Properties of solution spaces; 14. Sampling properties of solution spaces; 15. Finding functional states; 16. Parametric sensitivity; 17. Epilogue; Appendix A. Nomenclature and abbreviations; Appendix B. E. coli core metabolic network; Bibliography; Index.

By Ali Enayat (Editor), Iraj Kalantari (Editor), Mojtaba Moniri (Editor)

Logic in Tehran
Proceedings of the Workshop and Conference on Logic, Algebra, and Arithmetic, held October 18-22, 2003

Lecture Notes in Logic 26

Summary

This proceedings volume contains research papers in mathematical logic, especially in model theory and its applications to algebra and formal theories of arithmetic. Other papers address interpretability theory, computable analysis, modal logic, and the history of mathematical logic in Iran. The conference was held in Tehran, Iran, in October 2003, with the expressed purpose of bringing together researchers with connections to Iranian logicians and promoting further research in mathematical logic in Iran.

Details

ISBN: 1-56881-295-7
Year: 2006
Format: Hardcover
ISBN: 1-56881-296-5
Format: Paperback

Pages: 361

by John Stillwell

Yearning for the Impossible
The Surprising Truths of Mathematics

Summary

This book explores the history of mathematics from the perspective of the creative tension between common sense and the “impossible” as the author follows the discovery or invention of new concepts that have marked mathematical progress:

Irrational and Imaginary Numbers
The Fourth Dimension
Curved Space
Infinity and others
The author puts these creations into a broader context involving related “impossibilities” from art, literature, philosophy, and physics. By imbedding mathematics into a broader cultural context and through his clever and enthusiastic explication of mathematical ideas the author broadens the horizon of students beyond the narrow confines of rote memorization and engages those who are curious about the place of mathematics in our intellectual landscape.

Details

ISBN: 1-56881-254-X
Year: 2006
Format: Hardcover
Pages: 250