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Books

Mathematical Physics


A Student's Guide to Maxwell's Equations

A Student's Guide to Maxwell's Equations Lowest new price: $21.49
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Author: Daniel Fleisch
Brand: imusti

Gauss's law for electric fields, Gauss's law for magnetic fields, Faraday's law, and the Ampere-Maxwell law are four of the most influential equations in science. In this guide for students, each equation is the subject of an entire chapter, with detailed, plain-language explanations of the physical meaning of each symbol in the equation, for both the integral and differential forms. The final chapter shows how Maxwell's equations may be combined to produce the wave equation, the basis for the electromagnetic theory of light. This book is a wonderful resource for undergraduate and graduate courses in electromagnetism and electromagnetics. A website hosted by the author at www.cambridge.org/9780521701471 contains interactive solutions to every problem in the text as well as audio podcasts to walk students through each chapter.

Features:

  • Cambridge University Press

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All of Statistics: A Concise Course in Statistical Inference (Springer Texts in Statistics)

All of Statistics: A Concise Course in Statistical Inference (Springer Texts in Statistics) Lowest new price: $61.69
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Author: Larry Wasserman
Brand: Larry Wasserman

Taken literally, the title "All of Statistics" is an exaggeration. But in spirit, the title is apt, as the book does cover a much broader range of topics than a typical introductory book on mathematical statistics. This book is for people who want to learn probability and statistics quickly. It is suitable for graduate or advanced undergraduate students in computer science, mathematics, statistics, and related disciplines. 


The book includes modern topics like non-parametric curve estimation, bootstrapping, and classification, topics that are usually relegated to follow-up courses. The reader is presumed to know calculus and a little linear algebra. No previous knowledge of probability and statistics is required. Statistics, data mining, and machine learning are all concerned with collecting and analysing data. 

Features:

  • All of Statistics

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Data Reduction and Error Analysis for the Physical Sciences

Data Reduction and Error Analysis for the Physical Sciences Lowest new price: $115.50
Lowest used price: $69.00
Author: Philip Bevington

The purpose of this book is to provide an introduction to the concepts of statistical analysis of data for students at the undergraduate and graduate level, and to provide tools for data reduction and error analysis commonly required in the physical sciences. The presentation is developed from a practical point of view, including enough derivation to justify the results, but emphasizing methods of handling data more than theory. The text provides a variety of numerical and graphical techniques. Computer programs that support these techniques will be available on an accompanying website in both Fortran and C++.

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Asymptotic Methods in Quantum Mechanics: Application to Atoms, Molecules and Nuclei (Springer Series in Chemical Physics)

Asymptotic Methods in Quantum Mechanics: Application to Atoms, Molecules and Nuclei (Springer Series in Chemical Physics) Lowest new price: $119.12
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Author: S.H. Patil
Brand: S H Patil

Quantum mechanics and the Schrodinger equation are the basis for the de­ scription of the properties of atoms, molecules, and nuclei. The development of reliable, meaningful solutions for the energy eigenfunctions of these many­ is a formidable problem. The usual approach for obtaining particle systems the eigenfunctions is based on their variational extremum property of the expectation values of the energy. However the complexity of these variational solutions does not allow a transparent, compact description of the physical structure. There are some properties of the wave functions in some specific, spatial domains, which depend on the general structure of the Schrodinger equation and the electromagnetic potential. These properties provide very useful guidelines in developing simple and accurate solutions for the wave functions of these systems, and provide significant insight into their physical structure. This point, though of considerable importance, has not received adequate attention. Here we present a description of the local properties of the wave functions of a collection of particles, in particular the asymptotic properties when one of the particles is far away from the others. The asymptotic behaviour of this wave function depends primarily on the separation energy of the outmost particle. The universal significance of the asymptotic behaviour of the wave functions should be appreciated at both research and pedagogic levels. This is the main aim of our presentation here.

Features:

  • Asymptotic Methods in Quantum Mechanics Application to Atoms Molecules and Nuclei Springer Series in Chemical Physics


Probability Theory: The Logic of Science

Probability Theory: The Logic of Science Lowest new price: $88.27
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Author: E. T. Jaynes
Brand: Brand: Cambridge University Press

Going beyond the conventional mathematics of probability theory, this study views the subject in a wider context. It discusses new results, along with applications of probability theory to a variety of problems. The book contains many exercises and is suitable for use as a textbook on graduate-level courses involving data analysis. Aimed at readers already familiar with applied mathematics at an advanced undergraduate level or higher, it is of interest to scientists concerned with inference from incomplete information.

Features:

  • Used Book in Good Condition

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Physics for Scientists and Engineers with Modern, Chapters 1-46

Physics for Scientists and Engineers with Modern, Chapters 1-46 Lowest new price: $96.21
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Author: Raymond A. Serway
Brand: Cengage Learning

Achieve success in your physics course by making the most of what PHYSICS FOR SCIENTISTS AND ENGINEERS has to offer you. From a host of in-text features to a range of outstanding technology resources, you''ll have everything you need to understand the natural forces and principles of physics. Throughout every chapter, the authors have built in a wide range of examples, exercises, and illustrations that will help you understand the laws of physics AND succeed in your course!

Features:

  • Used Book in Good Condition

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Riemannian Geometry

Riemannian Geometry Lowest new price: $37.40
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Author: Manfredo Perdigao do Carmo
Brand: Manfredo P Do Carmo

Riemannian Geometry is an expanded edition of a highly acclaimed and successful textbook (originally published in Portuguese) for first-year graduate students in mathematics and physics. The author's treatment goes very directly to the basic language of Riemannian geometry and immediately presents some of its most fundamental theorems. It is elementary, assuming only a modest background from readers, making it suitable for a wide variety of students and course structures. Its selection of topics has been deemed "superb" by teachers who have used the text.

A significant feature of the book is its powerful and revealing structure, beginning simply with the definition of a differentiable manifold and ending with one of the most important results in Riemannian geometry, a proof of the Sphere Theorem. The text abounds with basic definitions and theorems, examples, applications, and numerous exercises to test the student's understanding and extend knowledge and insight into the subject. Instructors and students alike will find the work to be a significant contribution to this highly applicable and stimulating subject.

Features:

  • Riemannian Geometry

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Group Representation Theory For Physicists

Group Representation Theory For Physicists Lowest new price: $61.00
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Author: Jin-Quan Chen

This textbook gives a comprehensive review of the new approach to group representation theory developed in the mid 70's and 80's. The unique feature of the approach is that it is based on Dirac's complete set of commuting operators theory in quantum mechanics and thus the representation theories for finite groups, infinite discrete groups and Lie groups are all unified. The new approach is easily acceptable to physicists, yet powerful and versatile for practical calculations. The development of the theory is from special to general, supplemented with abundant illustrative examples. The Clebsch-Gordan, Racah and subduction coefficients and isoscalar factors are discussed in detail for point groups, permutation groups, unitary groups and space groups. Tables of several useful coefficients are included. The theory on roots and weights in Lie groups is reformulated in the spirit of representation theory of quantum mechanics. The applications of group theory to many-body problem are introduced with emphasis on the various dynamic symmetry models of nuclei. There should be no difficulty for the readers of this book to understand the conclusions derived in other textbooks or literature, although the process of derivation may be entirely different from the conventional one


The Road to Reality: A Complete Guide to the Laws of the Universe

The Road to Reality: A Complete Guide to the Laws of the Universe Lowest new price: $15.74
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Author: Roger Penrose
Brand: Brand: Vintage

Roger Penrose, one of the most accomplished scientists of our time, presents the only comprehensive and comprehensible account of the physics of the universe. From the very first attempts by the Greeks to grapple with the complexities of our known world to the latest application of infinity in physics, The Road to Reality carefully explores the movement of the smallest atomic particles and reaches into the vastness of intergalactic space. Here, Penrose examines the mathematical foundations of the physical universe, exposing the underlying beauty of physics and giving us one the most important works in modern science writing.

If Albert Einstein were alive, he would have a copy of The Road to Reality on his bookshelf. So would Isaac Newton. This may be the most complete mathematical explanation of the universe yet published, and Roger Penrose richly deserves the accolades he will receive for it. That said, let us be perfectly clear: this is not an easy book to read. The number of people in the world who can understand everything in it could probably take a taxi together to Penrose's next lecture. Still, math-friendly readers looking for a substantial and possibly even thrillingly difficult intellectual experience should pick up a copy (carefully--it's over a thousand pages long and weighs nearly 4 pounds) and start at the beginning, where Penrose sets out his purpose: to describe "the search for the underlying principles that govern the behavior of our universe." Beginning with the deceptively simple geometry of Pythagoras and the Greeks, Penrose guides readers through the fundamentals--the incontrovertible bricks that hold up the fanciful mathematical structures of later chapters. From such theoretical delights as complex-number calculus, Riemann surfaces, and Clifford bundles, the tour takes us quickly on to the nature of spacetime. The bulk of the book is then devoted to quantum physics, cosmological theories (including Penrose's favored ideas about string theory and universal inflation), and what we know about how the universe is held together. For physicists, mathematicians, and advanced students, The Road to Reality is an essential field guide to the universe. For enthusiastic amateurs, the book is a project to tackle a bit at a time, one with unimaginable intellectual rewards. --Therese Littleton

Features:

  • Used Book in Good Condition

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Dynamic Programming and Optimal Control (2 Vol Set)

Dynamic Programming and Optimal Control (2 Vol Set) Lowest new price: $134.50
Lowest used price: $121.05
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Author: Dimitri P. Bertsekas
Brand: Brand: Athena Scientific

A two-volume set, consisting of the latest editions of the two volumes (4th edition (2017) for Vol. I, and 4th edition (2012) for Vol. II). Much supplementary material can be found at the book's web page. The first volume is oriented towards modeling, conceptualization, and finite-horizon problems, but also includes a substantive introduction to infinite horizon problems that is suitable for classroom use, as well as an up-to-date account of some of the most interesting developments in approximate dynamic programming. The second volume is oriented towards mathematical analysis and computation, treats infinite horizon problems extensively, and provides a detailed account of approximate large-scale dynamic programming and reinforcement learning. This is a textbook on the far-ranging algorithmic methododogy of Dynamic Programming, which can be used for optimal control, Markovian decision problems, planning and sequential decision making under uncertainty, and discrete/combinatorial optimization. The treatment focuses on basic unifying themes, and conceptual foundations. It illustrates the versatility, power, and generality of the method with many examples and applications from engineering, operations research, and other fields. It also addresses extensively the practical application of the methodology, possibly through the use of approximations, and provides an introduction to the methodology of Neuro-Dynamic Programming, which is the focus of much recent research.

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  • Used Book in Good Condition

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