General Physics and Mathematical Tools - Thoughtful Physics


Book Description

Thoughtful Physics for JEE Mains & Advanced – General Physics and Mathematical Tools: has been designed in keeping with the needs and expectations of students appearing for JEE Main and Advanced. It explains all phenomena’s through, reasons from principles, rather than by analogy and usually that reason is Physics. Its coherent presentation and compatibility with the latest prescribed syllabus and pattern of JEE will prove extremely useful to JEE aspirants. Subject matter is kept simple but effective to strategically strengthen concepts as well as their applications to Problem Solving. Complete theory, series of solved & unsolved examples in varied situations final touch points for exam.




Mathematical Tools for Physics


Book Description

Having the right answer doesn't guarantee understanding. This book helps physics students learn to take an informed and intuitive approach to solving problems. It assists undergraduates in developing their skills and provides them with grounding in important mathematical methods.Starting with a review of basic mathematics, the author presents a thorough analysis of infinite series, complex algebra, differential equations, and Fourier series. Succeeding chapters explore vector spaces, operators and matrices, multi-variable and vector calculus, partial differential equations, numerical and complex analysis, and tensors. Additional topics include complex variables, Fourier analysis, the calculus of variations, and densities and distributions. An excellent math reference guide, this volume is also a helpful companion for physics students as they work through their assignments.




More And Different: Notes From A Thoughtful Curmudgeon


Book Description

Named a Top Five Book of 2012 by Physics Today, USA.“Anderson has put together an entertaining and instructive collection of highly readable reviews, columns, talks, and unpublished essays on science and the scientists he has known. He is rarely inappropriately provocative, and he is a pleasure to read.”Physics TodayPhilip Anderson was educated at University High School in Urbana, Illinois, at Harvard (BS 1943, PhD 1949), and further educated at Bell Laboratories, where his career (1949-1984) coincided with the greatest period of that remarkable institution. Starting in 1967, he shared his time with Cambridge University (until 1975) and then with Princeton, where he continued full time as Joseph Henry Professor until 1997. As an emeritus he remains active in research, and at press time he was involved in several scientific controversies about high profile subjects, in which his point of view, though unpopular at the moment, is likely to prevail eventually. His colleagues have made him one of the two physicists most often cited in the scientific literature, for several decades.His work is characterized by mathematical simplicity combined with conceptual depth, and by profound respect for experimental findings. He has explored areas outside his main discipline, the quantum theory of condensed matter (for which he won the 1977 Nobel Prize), on several occasions: his paper on what is now called the “Anderson-Higgs mechanism” was a main source for Peter Higgs' elucidation of the boson; a crucial insight led to work on the dynamics of neutron stars (pulsars); and his concept of the spin glass led far afield, to developments in practical computer algorithms and neural nets, and eventually to his involvement in the early years of the Santa Fe Institute and his co-leadership with Kenneth Arrow of two influential workshops on economics at that institution. His writing career started with a much-quoted article in Science titled “More is Different” in 1971; he was an occasional columnist for Physics Today in the 1980s and 1990s. He was more recently a reviewer of science and science-related books for the Times (London) Higher Education Supplement as well as an occasional contributor to Science, Nature, and other journals.




Time, Space, and Number in Physics and Psychology (Psychology Revivals)


Book Description

The crux of the debate between proponents of behavioral psychology and cognitive psychology focuses on the issue of accessibility. Cognitivists believe that mental mechanisms and processes are accessible, and that their inner workings can be inferred from experimental observations of behavior. Behaviorists, on the contrary, believe that mental processes and mechanisms are inaccessible, and that nothing important about them can be inferred from even the most cleverly designed empirical studies. One argument that is repeatedly raised by cognitivists is that even though mental processes are not directly accessible, this should not be a barrier to unravelling the nature of the inner mental processes and mechanisms. Inference works for other sciences, such as physics, so why not psychology? If physics can work so successfully with their kind of inaccessibility to make enormous theoretical progress, then why not psychology? As with most previous psychological debates, there is no "killer argument" that can provide an unambiguous resolution. In its absence, author William Uttal explores the differing properties of physical and psychological time, space, and mathematics before coming to the conclusion that there are major discrepancies between the properties of the respective subject matters that make the analogy of comparable inaccessibilities a false one. This title was first published in 2008.




Handbook of Research on Mathematics Teaching and Learning


Book Description

Sponsored by the National Council of Teachers of Mathematics and written by leading experts in the field of mathematics education, the Handbook is specifically designed to make important, vital scholarship accessible to mathematics education professors, graduate students, educational researchers, staff development directors, curriculum supervisors, and teachers. The Handbook provides a framework for understanding the evolution of the mathematics education research field against the backdrop of well-established conceptual, historical, theoretical, and methodological perspectives. It is an indispensable working tool for everyone interested in pursuing research in mathematics education as the references for each of the Handbook's twenty-nine chapters are complete resources for both current and past work in that particular area.




Essential Mathematics for Engineers and Scientists


Book Description

Clear and engaging introduction for graduate students in engineering and the physical sciences to essential topics of applied mathematics.




Statistical Mechanics of Lattice Systems


Book Description

A self-contained, mathematical introduction to the driving ideas in equilibrium statistical mechanics, studying important models in detail.




Mathematical Methods for Physics and Engineering


Book Description

Suitable for advanced undergraduate and graduate students, this new textbook contains an introduction to the mathematical concepts used in physics and engineering. The entire book is unique in that it draws upon applications from physics, rather than mathematical examples, to ensure students are fully equipped with the tools they need. This approach prepares the reader for advanced topics, such as quantum mechanics and general relativity, while offering examples, problems, and insights into classical physics. The book is also distinctive in the coverage it devotes to modelling, and to oft-neglected topics such as Green's functions.




New Foundations for Classical Mechanics


Book Description

This is a textbook on classical mechanics at the intermediate level, but its main purpose is to serve as an introduction to a new mathematical language for physics called geometric algebra. Mechanics is most commonly formulated today in terms of the vector algebra developed by the American physicist J. Willard Gibbs, but for some applications of mechanics the algebra of complex numbers is more efficient than vector algebra, while in other applica tions matrix algebra works better. Geometric algebra integrates all these algebraic systems into a coherent mathematical language which not only retains the advantages of each special algebra but possesses powerful new capabilities. This book covers the fairly standard material for a course on the mechanics of particles and rigid bodies. However, it will be seen that geometric algebra brings new insights into the treatment of nearly every topic and produces simplifications that move the subject quickly to advanced levels. That has made it possible in this book to carry the treatment of two major topics in mechanics well beyond the level of other textbooks. A few words are in order about the unique treatment of these two topics, namely, rotational dynamics and celestial mechanics.




Revival: Philosophy and the Physicists (1937)


Book Description

This book is written by a philosopher for other philosophers and for that section of the reading public who buy in large quantities and, no doubt, devour with great earnestness the popular books written by scientists for their enlightenment. We common readers, to adapt a phrase from Samuel Johnson, are fitted neither to criticize physical theories not to decide what precisely are their implications. We are dependent upon the scientists for an exposition of those developments which – so we find them proclaiming – have important and far-reaching consequences for philosophy. Unfortunately, however, our popular expositors do not always serve us very well. The two who are most widely read in this country are Sir Arthur Eddington and Sir James Jeans. They are not always reliable guides. Their influence has been considerable upon the reading public, upon theologians, and upon preachers; they have even misled philosopher who should have known better. Accordingly, it has seemed to me to be worth while to examine in some detail the philosophical views that they have put forth and to criticize the grounds upon which these views are based.