The first part deals with basic ideas, reviewing special relativity and electromagnetism while introducing the concept of extra dimensions. D-branes and the classical dynamics of relativistic strings are discussed next, and the quantization of open and closed bosonic strings in the light-cone gauge, along with a brief introduction to superstrings. The second part begins with a detailed study of D-branes followed by string thermodynamics. It discusses possible physical applications, and covers T-duality of open and closed strings, electromagnetic fields on D-branes, Born/Infeld electrodynamics, covariant string quantization and string interactions. Primarily aimed as a textbook for advanced undergraduate and beginning graduate courses, it will also be ideal for a wide range of scientists and mathematicians who are curious about string theory.

    Numerous tables and figures.

    Subsequent sections deal with integrating factors; dilution and accretion problems; linearization of first order systems; Laplace Transforms; Newton's Interpolation Formulas, more.

    You proceed at your own rate and any difficulties you may encounter are resolved before you move on to the next topic. With a step-by-step programmed approach that is complemented by hundreds of worked examples and exercises, Advanced Engineering Mathematics is ideal as an on-the-job reference for professionals or as a self-study guide for students.Uses a unique technique-oriented approach that takes the reader through each topic step-by-step.Features a wealth of worked examples and progressively more challenging exercises.Contains Test Exercises, Learning Outcomes, Further Problems, and Can You? Checklists to guide and enhance learning and comprehension.Expanded coverage includes new chapters on Z Transforms, Fourier Transforms, Numerical Solutions of Partial Differential Equations, and more Complex Numbers.Includes a new chapter, Introduction to Invariant Linear Systems, and new material on difference equations integrated into the Z transforms chapter.

    Problems are designed to progressively enhance MATLAB-use proficiency, so students need not be familiar with MATLAB at the start of your course. Program scripts that are answers to exercises in the text are available at no charge in electronic form (see Teaching Resources below). *Supplement and Review Mini-Chapters after each of the text's three parts contain an extensive review list of terms, test-like problem sets with answers, and detailed suggestions on supplemental reading to reinforce students' learning and help them prepare for exams. *Read-Only Chapters, strategically placed to provide a change of pace during the course, provide informative, yet enjoyable reading for students. *Measurement Details and Results samples offer students a realistic perspective on the seldom-perfect nature of device characteristics, contrary to the way they are often represented in introductory texts. Content Highlig

    This guide provides explanations of eigenvalues, eigenvectors, linear transformations, linear equations, vectors, and matrices.

    John Taylor has brought to his new book, Classical Mechanics, all of the clarity and insight that made his introduction to Error Analysis a best-selling text.

    The remaining lectures build on that idea, examining the possibility of building a relativistic quantum theory on curved surfaces or flat surfaces.

    

    These sections together make an appropriate one-term advanced/graduate level course (mathematical prerequisites: vector analysis and simple partial-differential equations). The book is printed to make it easy for readers to identify these sections.• The remaining Track 2 material provides a wealth of advanced topics instructors can draw from to flesh out a two-term course, with Track 1 sections serving as prerequisites.

    Based on a course of lectures delivered by the author at Columbia University, the text is elementary in treatment and remarkable for its clarity and organization. Although it is assumed that the reader is familiar with the fundamental facts of thermometry and calorimetry, no advanced mathematics beyond calculus is assumed.Partial contents: thermodynamic systems, the first law of thermodynamics (application, adiabatic transformations), the second law of thermodynamics (Carnot cycle, absolute thermodynamic temperature, thermal engines), the entropy (properties of cycles, entropy of a system whose states can be represented on a (V, p) diagram, Clapeyron and Van der Waals equations), thermodynamic potentials (free energy, thermodynamic potential at constant pressure, the phase rule, thermodynamics of the reversible electric cell), gaseous reactions (chemical equilibria in gases, Van't Hoff reaction box, another proof of the equation of gaseous equilibria, principle of Le Chatelier), the thermodynamics of dilute solutions (osmotic pressure, chemical equilibria in solutions, the distribution of a solute between 2 phases vapor pressure, boiling and freezing points), the entropy constant (Nernst's theorem, thermal ionization of a gas, thermionic effect, etc.).

    This book provides an introduction to the field of solid state physics for undergraduate students in physics, chemistry, engineering, and materials science.

    Pure Substances, The First And Second Laws, Gases, Psychrometrics, The Vapor, Gas And Refrigeration Cycles, Heat Transfer, Compressible Flow, Chemical Reactions, Fuels, And More Are Presented In Detail And Enhanced With Practical Applications. This Version Presents The Material Using SI Units And Has Ample Material On SI Conversion, Steam Tables, And A Mollier Diagram. A CD-ROM, Included With The Print Version Of The Text, Includes A Fully Functional Version Of Quickfield (Widely Used In Industry), As Well As Numerous Demonstrations And Simulations With MATLAB, And Other Third Party Software.

    The quantum world doesn't play by those rules. Daniel Rice is a government science investigator whose specialty is solving seemingly intractable problems through scientific inquiry.But Daniel's intellectual strength is sorely tested by the bizarre realities he finds in the quantum world. Extra dimensions of space trap the unwary, probability replaces cause and effect, and time isn't what anyone imagined. The other side of the mirror is a place full of dangers, but it's also somewhere a dedicated scientist can uncover secrets that connect humans with something greater. If you liked the authenticity of The Martian, the page-turning pace of Da Vinci Code, and the inspirational world views of Arthur C. Clarke and Carl Sagan, you'll love The Quantum Series. A mind-bending journey from the ultra-small to the vast stage of the Milky Way. Acclaim for The Quantum Series Awarded the indieBRAG Medallion for 2018"Dazzling tale of weird science" - Publisher's Weekly"I can't recall when I last enjoyed a hard science series as much as this one. The concepts were astounding, the characters were easily believable, and the action emotionally driven. Very hard to put down. It kept me reading half the night. You'll be thinking about the far out science ideas promulgated in this series for a long time." - Chuck Juzek"A great story, no hatred, no evil people trying to destroy others, just a wonderful adventure with a fantastic outcome." - Ric Mannen"Fermi's Paradox is finally explained." - PE Gwinn"An exciting plot that kept me glued to my chair instead of mowing the lawn." - PE Gwinn"Probably one of the most entertaining and intellectually stimulating stories I've read in a long time... and I read a LOT!" - Jason Blackford"Great story that proves the universe is indeed full of magic!" - Rand"The protagonists have an almost poetic underpinning that had me rooting for their success." - J. Kareski"BTW, all three books show respect and admiration for women scientists as well as men." - Robin C."Mr. Phillips is the only person who explained quantum physics to me in a way that was not only understandable but entertaining." - Edward L. Heins

    Indeed, such equations are crucial to mathematical physics. Although simplifications can be made that reduce these equations to ordinary differential equations, nevertheless the complete description of physical systems resides in the general area of partial differential equations.This highly useful text shows the reader how to formulate a partial differential equation from the physical problem (constructing the mathematical model) and how to solve the equation (along with initial and boundary conditions). Written for advanced undergraduate and graduate students, as well as professionals working in the applied sciences, this clearly written book offers realistic, practical coverage of diffusion-type problems, hyperbolic-type problems, elliptic-type problems, and numerical and approximate methods. Each chapter contains a selection of relevant problems (answers are provided) and suggestions for further reading.