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 Hossenfelder, Sabine, 1976 author.
 First edition.  New York, NY : Basic Books, 2018.
 Description
 Book — xi, 291 pages : illustrations ; 25 cm
 Online
 Satija, Indubala I., 1952 author.
 San Rafael, CA : Morgan & Claypool Publishers ; Bristol, UK : IOP Publishing, [2016]
 Description
 Book — 1 volume (various pagings) : illustrations (chielfy color) ; 26 cm.
 Summary

 Summary
 Preface
 Prologue
 Prelude
 Part I. The butterfly fractal
 0. Kiss precise. Apollonian gaskets and integer wonderlands
 Appendix. An Apollonian sand paintingthe world's largest artwork
 1. The fractal family. The Mandelbrot set
 The Feigenbaum set
 Classic fractals
 The Hofstadter set
 Appendix. Harper's equation as an iterative mapping
 2. Geometry, number theory, and the butterfly : friendly numbers and kissing circles. Ford circles, the Farey tree, and the butterfly
 A butterfly at every scalebutterfly recursions
 Scaling and universality
 The butterfly and a hidden trefoil symmetry
 Closing words : physics and number theory
 Appendix A. Hofstadter recursions and butterfly generations
 Appendix B. Some theorems of number theory
 Appendix C. Continuedfraction expansions
 Appendix D. Nearestinteger continued fraction expansion
 Appendix E. Farey paths and some comments on universality
 3. The Apollonianbutterfly connection (ABC). Integral Apollonian gaskets (IAG) and the butterfly
 The kaleidoscopic effect and trefoil symmetry
 Beyond Ford Apollonian gaskets and fountain butterflies
 Appendix. Quadratic Diophantine equations and IAGs 
 4. Quasiperiodic patterns and the butterfly. A tale of three irrationals
 Selfsimilar butterfly hierarchies
 The diamond, golden, and silver hierarchies, and Hofstadter recursions
 Symmetries and quasiperiodicities
 Appendix. Quasicrystals
 Part II. Butterfly in the quantum world
 5. The quantum world. Wave or particlewhat is it?
 Quantization
 What is waving?The Schrödinger picture
 Quintessentially quantum
 Quantum effects in the macroscopic world
 6. A quantummechanical marriage and its unruly child. Two physical situations joined in a quantummechanical marriage
 The marvelous pure number [phi]
 Harper's equation, describing Bloch electrons in a magnetic field
 Harper's equation as a recursion relation
 On the key role of inexplicable artistic intuitions in physics
 Discovering the strange eigenvalue spectrum of Harper's equation
 Continued fractions and the looming nightmare of discontinuity
 Polynomials that dance on several levels at once
 A short digression on INT and on perception of visual patterns
 The spectrum belonging to irrational values of [phi] and the "tenmartini problem"
 In which continuity (of a sort) is finally established
 Infinitely recursively scalloped wave functions : cherries on the doctoral sundae
 Closing words
 Appendix. Supplementary material on Harper's equation 
 Part III. Topology and the butterfly
 7. A different kind of quantization : the quantum Hall effect. What is the Hall effect? Classical and quantum answers
 A charged particle in a magnetic field : cyclotron orbits and their quantization
 Landau levels in the Hofstadter butterfly
 Topological insulators
 Appendix A. Excerpts from the
 1985 Nobel Prize press release
 Appendix B. Quantum mechanics of electrons in a magnetic field
 Appendix C. Quantization of the Hall conductivity
 8. Topology and topological invariants : preamble to the topological aspects of the quantum Hall effect
 A puzzle : the precision and the quantization of Hall conductivity
 Topological invariants
 Anholonomy : parallel transport and the Foucault pendulum
 Geometrization of the Foucault pendulum
 Berry magnetismeffective vector potential and monopoles
 The ESAB effect as an example of anholonomy
 Appendix. Classical parallel transport and magnetic monopoles
 9. The Berry phase and the quantum Hall effect. The Berry phase
 Examples of Berry phase
 Chern numbers in twodimensional electron gases
 Conclusion : the quantization of Hall conductivity
 Closing words : topology and physical phenomena
 Appendix A. Berry magnetism and the Berry phase
 Appendix B. The Berry phase and
 2 x
 2 matrices
 Appendix C. What causes Berry curvature? Dirac strings, vortices, and magnetic monopoles
 Appendix D. The twoband lattice model for the quantum Hall effect 
 10. The kiss precise and precise quantization. Diophantus gives us two numbers for each swath in the butterfly
 Chern labels not just for swaths but also for bands
 A topological map of the butterfly
 Apollonianbutterfly connection : where are the Chern numbers?
 A topological landscape that has trefoil symmetry
 Cherndressed wave functions
 Summary and outlook
 Part IV. Catching the butterfly
 11. The art of tinkering. The most beautiful physics experiments
 12. The butterfly in the laboratory
 Twodimensional electron gases, superlattices, and the butterfly revealed
 Magical carbon : a new net for the Hofstadter butterfly
 A potentially sizzling hot topic in ultracold atom laboratories
 Appendix. Excerpts from the
 2010 Physics Nobel Prize press release
 13. The butterfly gallery : variations on a theme of Philip G Harper
 14. Divertimento
 15. Gratitude
 16. Poetic math & science
 17. Coda.
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QC20.7 .F73 S383 2016  Unknown 
 Physique et outils mathematiques. English
 Alastuey, Angel, author.
 New Jersey : World Scientific, [2016]
 Description
 Book — xiv, 342 pages : illustrations ; 25 cm
 Summary

This book presents mathematical methods and tools which are useful for physicists and engineers: response functions, KramersKronig relations, Green's functions, saddle point approximation. The derivations emphasize the underlying physical arguments and interpretations without any loss of rigor. General introductions describe the main features of the methods, while connections and analogies between a priori different problems are discussed. They are completed by detailed applications in many topics including electromagnetism, hydrodynamics, statistical physics, quantum mechanics, etc. Exercises are also proposed, and their solutions are sketched. A selfcontained reading of the book is favored by avoiding too technical derivations, and by providing a short presentation of important tools in the appendices. It is addressed to undergraduate and graduate students in physics, but it can also be used by teachers, researchers and engineers.
(source: Nielsen Book Data) 9789814713245 20171030
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QC20 .A4313 2016  Unknown 
 Silverman, Mark P., author.
 Cambridge : Cambridge University Press, 2014.
 Description
 Book — xvi, 617 pages : illustrations ; 26 cm
 Summary

 1. Tools of the trade
 2. The 'fundamental problem' of a practical physicist
 3. Mother of all randomness I: the random disintegration of matter
 4. Mother of all randomness II: the random creation of light
 5. A certain uncertainty
 6. Doing the numbers: nuclear physics and the stock market
 7. On target: uncertainties of projectile flight
 8. The guesses of groups
 9. The random flow of energy I: power to the people
 10. The random flow of energy II: warning from the weather underground Index.
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(source: Nielsen Book Data) 9781107032811 20160616
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QC174.8 .S545 2014  Unknown 
 Tegmark, Max, author.
 First edition.  New York : Alfred A. Knopf, 2014.
 Description
 Book — viii, 421 pages : illustrations ; 25 cm
 Summary

"Max Tegmark leads us on an astonishing journey through past, present, and future, and through the physics, astronomy and mathematics that are the foundation of his work, most particularly his hypothesis that our physical reality is a mathematical structure and his theory of the ultimate multiverse. In a dazzling combination of both popular and groundbreaking science, he not only helps us grasp his often mindboggling theories (his website gives a flavor of how they might boggle the mind), but he also shares with us some of the often surprising triumphs and disappointments that have shaped his life as a scientist. Fascinating from first to lasthere is a book for the full sciencereading spectrum" Provided by publisher.
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QB981 .T44 2014  Unknown 
6. Computational methods for physics [2013]
 Franklin, Joel, 1975
 Cambridge : Cambridge University Press, 2013.
 Description
 Book — xvii, 400 pages : illustrations ; 26 cm
 Summary

 1. Programming overview
 2. Ordinary differential equations
 3. Rootfinding
 4. Partial differential equations
 5. Time dependent problems
 6. Integration
 7. Fourier transform
 8. Harmonic oscillators
 9. Matrix inversion
 10. The eigenvalue problem
 11. Iterative methods
 12. Minimization
 13. Chaos
 14. Neural networks
 15. Galerkin methods References Index.
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(source: Nielsen Book Data) 9781107034303 20160613
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QC20 .F735 2013  Unknown 
 Arfken, George B. (George Brown), 1922
 7th ed.  Waltham, MA : Academic Press/Elsevier, c2013.
 Description
 Book — xiii, 1205 p. : ill. ; 24 cm.
 Summary

Now in its 7th edition, "Mathematical Methods for Physicists" continues to provide all the mathematical methods that aspiring scientists and engineers are likely to encounter as students and beginning researchers. This bestselling text provides mathematical relations and their proofs essential to the study of physics and related fields. While retaining the key features of the 6th edition, the new edition provides a more careful balance of explanation, theory, and examples. Taking a problemsolvingskills approach to incorporating theorems with applications, the book's improved focus will help students succeed throughout their academic careers and well into their professions. Some notable enhancements include more refined and focused content in important topics, improved organization, updated notations, extensive explanations and intuitive exercise sets, a wider range of problem solutions, improvement in the placement, and a wider range of difficulty of exercises. This book is the revised and updated version of the leading text in mathematical physics. It focuses on problemsolving skills and active learning, offering numerous chapter problems. It includes clearly identified definitions, theorems, and proofs promote clarity and understanding. New to this edition: improved modular chapters; new uptodate examples; and, more intuitive explanations.
(source: Nielsen Book Data) 9780123846549 20160607
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 www.sciencedirect.com ScienceDirect
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QA37.3 .A74 2013  Unknown 
 Frankel, Theodore, 19292017
 3rd ed.  Cambridge, UK ; New York : Cambridge University Press, 2012.
 Description
 Book — lxii, 686 p. : ill ; 25 cm.
 Summary

 Preface to the Third Edition Preface to the Second Edition Preface to the revised printing Preface to the First Edition Overview Part I. Manifolds, Tensors, and Exterior Forms:
 1. Manifolds and vector fields
 2. Tensors and exterior forms
 3. Integration of differential forms
 4. The Lie derivative
 5. The Poincare Lemma and potentials
 6. Holonomic and nonholonomic constraints Part II. Geometry and Topology:
 7. R3 and Minkowski space
 8. The geometry of surfaces in R3
 9. Covariant differentiation and curvature
 10. Geodesics
 11. Relativity, tensors, and curvature
 12. Curvature and topology: Synge's theorem
 13. Betti numbers and De Rham's theorem
 14. Harmonic forms Part III. Lie Groups, Bundles, and Chern Forms:
 15. Lie groups
 16. Vector bundles in geometry and physics
 17. Fiber bundles, GaussBonnet, and topological quantization
 18. Connections and associated bundles
 19. The Dirac equation
 20. YangMills fields
 21. Betti numbers and covering spaces
 22. Chern forms and homotopy groups Appendix A. Forms in continuum mechanics Appendix B. Harmonic chains and Kirchhoff's circuit laws Appendix C. Symmetries, quarks, and Meson masses Appendix D. Representations and hyperelastic bodies Appendix E. Orbits and MorseBott theory in compact Lie groups.
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(source: Nielsen Book Data) 9781107602601 20160614
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QC20.7 .D52 F73 2012  Unknown 
9. Advanced engineering mathematics [2011]
 Kreyszig, Erwin.
 10th ed.  Hoboken, N.J. : Wiley, c2011.
 Description
 Book — xxi, 1113, 109, 130 p. : col. ill. ; 26 cm.
 Summary

The tenth edition of this bestselling text includes examples in more detail and more applied exercises; both changes are aimed at making the material more relevant and accessible to readers. Kreyszig introduces engineers and computer scientists to advanced math topics as they relate to practical problems. It goes into the following topics at great depth differential equations, partial differential equations, Fourier analysis, vector analysis, complex analysis, and linear algebra/differential equations.
(source: Nielsen Book Data) 9780470458365 20160610
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On reserve: Ask at circulation desk  
QA401 .K7 2011  Unknown 2hour loan 
QA401 .K7 2011  Unknown 2hour loan 
CME10201, ENGR155A01
 Course
 CME10201  Ordinary Differential Equations for Engineers
 Instructor(s)
 Le, Hung
 Course
 ENGR155A01  Ordinary Differential Equations for Engineers
 Instructor(s)
 Le, Hung
10. A radically modern approach to introductory physics [2011  ]
 Raymond, David J.
 Socorro, NM : New Mexico Tech Press, <2011>
 Description
 Book — v. : ill ; 28 cm.
 Summary

 V. 1. Fundamental principles
 v. 2. Four forces
 Online
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QC23 .R294 2011 V.1  Unknown 
11. Topology and geometry for physicists [2011]
 Nash, Charles.
 Dover ed.  Mineola, N.Y. : Dover Publications, 2011.
 Description
 Book — viii, 311 p. : ill. ; 22 cm.
 Online
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QC20.7 .T65 N37 2011  Unknown 
12. Airy functions and applications to physics [2010]
 Vallée, Olivier, 1947
 2nd ed.  New Jersey : World Scientific, c2010.
 Description
 Book — x, 202 p. : ill. ; 24 cm.
 Summary

 A Historical Introduction: Sir George Biddell Airy Definitions and Properties Primitives and Integrals of Airy Functions Transformations of Airy Functions The Uniform Approximation Generalization of Airy Functions Applications to Classical Physics Applications to Quantum Physics Appendix:Numerical Computation of the Airy Functions.
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(source: Nielsen Book Data) 9781848165489 20160606
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QA351 .V35 2010  Unknown 
13. Computational methods in plasma physics [2010]
 Jardin, Stephen.
 Boca Raton, FL : CRC Press, c2010.
 Description
 Book — xxii, 349 p. : ill. ; 25 cm.
 Summary

 Introduction to Magnetohydrodynamic Equations Introduction Magnetohydrodynamic (MHD) Equations Characteristics Introduction to Finite Difference Equations Introduction Implicit and Explicit Methods Errors Consistency, Convergence, and Stability Von Neumann Stability Analysis Accuracy and Conservative Differencing Finite Difference Methods for Elliptic Equations Introduction One Dimensional Poisson's Equation Two Dimensional Poisson's Equation Matrix Iterative Approach Physical Approach to Deriving Iterative Methods Multigrid Methods Krylov Space Methods Finite Fourier Transform Plasma Equilibrium Introduction Derivation of the GradShafranov Equation The Meaning of ? Exact Solutions Variational Forms of the Equilibrium Equation Free Boundary GradShafranov Equation Experimental Equilibrium Reconstruction Magnetic Flux Coordinates in a Torus Introduction Preliminaries Magnetic Field, Current, and Surface Functions Constructing Flux Coordinates from ?(R, Z) Inverse Equilibrium Equation Diffusion and Transport in Axisymmetric Geometry Introduction Basic Equations and Orderings Equilibrium Constraint Time Scales Numerical Methods for Parabolic Equations Introduction One Dimensional Diffusion Equations Multiple Dimensions Methods of Ideal MHD Stability Analysis Introduction Basic Equations Variational Forms Cylindrical Geometry Toroidal Geometry Numerical Methods for Hyperbolic Equations Introduction Explicit CenteredSpace Methods Explicit Upwind Differencing Limiter Methods Implicit Methods Spectral Methods for Initial Value Problems Introduction Orthogonal Expansion Functions NonLinear Problems Time Discretization Implicit Example: Gyrofluid Magnetic Reconnection The Finite Element Method Introduction Ritz Method in One Dimension Galerkin Method in One Dimension Finite Elements in Two Dimensions Eigenvalue Problems Bibliography Index A Summary appears at the end of each chapter.
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(source: Nielsen Book Data) 9781439810217 20160604
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QC718 .J345 2010  Unknown 
 Hawking, Stephen, 19422018
 London : Bantam Press, 2010.
 Description
 Book — 200 p. : ill. (chiefly col.), col. map ; 24 cm.
 Summary

 The mystery of being
 The rule of law
 What is reality?
 Alternative histories
 The theory of everything
 Choosing our universe
 The apparent miracle
 The grand design.
(source: Nielsen Book Data) 9780593058305 20160604
When and how did the universe begin? Why are we here? What is the nature of reality? Is the apparent 'grand design' of our universe evidence for a benevolent creator who set things in motion? Or does science offer another explanation? In "The Grand Design", the most recent scientific thinking about the mysteries of the universe is presented, in language marked by both brilliance and simplicity. "The Grand Design" explains the latest thoughts about modeldependent realism (the idea that there is no one version of reality), and about the multiverse concept of reality in which there are many universes. There are new ideas about the topdown theory of cosmology (the idea that there is no one history of the universe, but that every possible history exists). It concludes with a riveting assessment of mtheory, and discusses whether it is the unified theory Einstein spent a lifetime searching for. This is the first major work in nearly a decade by one of the world's greatest thinkers. A succinct, startling and lavishly illustrated guide to discoveries that are altering our understanding and threatening some of our most cherished belief systems, "The Grand Design" is a book that will inform  and provoke  like no other.
(source: Nielsen Book Data) 9780593058299 20160604
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QC794.6 .G7 H39 2010  Unknown 
 Stone, Michael, Ph. D.
 Cambridge : Cambridge University Press, c2009.
 Description
 Book — xiii, 806 p. : ill. ; 26 cm.
 Summary

 Preface
 1. Calculus of variations
 2. Function spaces
 3. Linear ordinary differential equations
 4. Linear differential operators
 5. Green functions
 6. Partial differential equations
 7. The mathematics of real waves
 8. Special functions
 9. Integral equations
 10. Vectors and tensors
 11. Differential calculus on manifolds
 12. Integration on manifolds
 13. An introduction to differential topology
 14. Group and group representations
 15. Lie groups
 16. The geometry of fibre bundles
 17. Complex analysis I
 18. Applications of complex variables
 19. Special functions and complex variables Appendixes Reference Index.
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(source: Nielsen Book Data) 9780521854030 20160604
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QC20 .S76 2009  Unknown 
 Kaku, Michio.
 1st ed.  New York : Doubleday, c2008.
 Description
 Book — xxi, 329 p. ; 25 cm.
 Summary

 Force fields
 Invisibility
 Phasers and death stars
 Teleportation
 Telepathy
 Psychokinesis
 Robots
 Extraterrestrials and UFOs
 Starships
 Antimatter and antiuniverses
 Faster than light
 Time travel
 Parallel universes
 Perpetual motion machines
 Precognition
 Epilogue: The future of the impossible.
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QC75 .K18 2008  Unknown 
17. Mathematics for physics and physicists [2007]
 Mathématiques pour la physique et les physiciens. English
 Appel, Walter.
 Princeton, N.J. : Princeton University Press, ©2007.
 Description
 Book — xxiv, 642 pages : illustrations, portraits ; 26 cm
 Summary

 A book's apology xviii Index of notation xxii
 Chapter 1: Reminders: convergence of sequences and series
 1
 Chapter 2: Measure theory and the Lebesgue integral
 51
 Chapter 3: Integral calculus
 73
 Chapter 4: Complex Analysis I
 87
 Chapter 5: Complex Analysis II
 135
 Chapter 6: Conformal maps
 155
 Chapter 7: Distributions I
 179
 Chapter 8: Distributions II
 223
 Chapter 9: Hilbert spaces Fourier series
 249
 Chapter 10: Fourier transform of functions
 277
 Chapter 11: Fourier transform of distributions
 299
 Chapter 12: The Laplace transform
 331
 Chapter 13: Physical applications of the Fourier transform
 355
 Chapter 14: Bras, kets, and all that sort of thing
 377
 Chapter 15: Green functions
 407
 Chapter 16: Tensors
 433
 Chapter 17: Differential forms
 463
 Chapter 18: Groups and group representations
 489
 Chapter 19: Introduction to probability theory
 509
 Chapter 20: Random variables
 521
 Chapter 21: Convergence of random variables: central limit theorem
 553
 Appendices A: Reminders concerning topology and normed vector spaces
 573 B: Elementary reminders of differential calculus
 585 C: Matrices
 593 D: A few proofs
 597
 Tables Fourier transforms
 609 Laplace transforms
 613 Probability laws
 616
 Further reading
 617 References
 621 Portraits
 627 Sidebars
 629 Index 631.
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(source: Nielsen Book Data) 9780691131023 20160619
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QC20 .A6613 2007  Unknown 
18. The physics of chaos in Hamiltonian systems [2007]
 Zaslavsky, George M.
 2nd ed.  London : Imperial College Press ; Hackensack, N.J. : distributed by World Scientific, c2007.
 Description
 Book — xiv, 315 p., [8] p. of plates : ill. (some col.) ; 24 cm.
 Summary

This book aims to familiarize the reader with the essential properties of the chaotic dynamics of Hamiltonian systems by avoiding specialized mathematical tools, thus making it easily accessible to a broader audience of researchers and students. Unique material on the most intriguing and fascinating topics of unsolved and current problems in contemporary chaos theory is presented. The coverage includes: separatrix chaos; properties and a description of systems with nonergodic dynamics; the distribution of Poincare recurrences and their role in transport theory; dynamical models of the Maxwell's Demon, the occurrence of persistent fluctuations, and a detailed discussion of their role in the problem underlying the foundation of statistical physics; the emergence of stochastic webs in phase space and their link to space tiling with periodic (crystal type) and aperiodic (quasicrystal type) symmetries. This second edition expands on pseudochaotic dynamics with weak mixing and the new phenomenon of fractional kinetics, which is crucial to the transport properties of chaotic motion. The book is ideally suited to all those who are actively working on the problems of dynamical chaos as well as to those looking for new inspiration in this area. It introduces the physicist to the world of Hamiltonian chaos and the mathematician to actual physical problems. The material can also be used by graduate students.
(source: Nielsen Book Data) 9781860947957 20160528
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QC20.7 .H35 Z38 2007  Unknown 
19. Advanced engineering mathematics [2006]
 Kreyszig, Erwin.
 9th ed.  Hoboken, NJ : John Wiley, c2006.
 Description
 Book — 1 v. (various pagings) : ill. ; 27 cm.
 Summary

 PART A: ORDINARY DIFFERENTIAL EQUATIONS (ODE'S).
 Chapter 1. FirstOrder ODE's.
 Chapter 2. Second Order Linear ODE's.
 Chapter 3. Higher Order Linear ODE's.
 Chapter 4. Systems of ODE's Phase Plane, Qualitative Methods.
 Chapter 5. Series Solutions of ODE's Special Functions.
 Chapter 6. Laplace Transforms. PART B: LINEAR ALGEBRA, VECTOR CALCULUS.
 Chapter 7. Linear Algebra: Matrices, Vectors, Determinants: Linear Systems.
 Chapter 8. Linear Algebra: Matrix Eigenvalue Problems.
 Chapter 9. Vector Differential Calculus: Grad, Div, Curl.
 Chapter 10. Vector Integral Calculus: Integral Theorems. PART C: FOURIER ANALYSIS, PARTIAL DIFFERENTIAL EQUATIONS.
 Chapter 11. Fourier Series, Integrals, and Transforms.
 Chapter 12. Partial Differential Equations (PDE's).
 Chapter 13. Complex Numbers and Functions.
 Chapter 14. Complex Integration.
 Chapter 15. Power Series, Taylor Series.
 Chapter 16. Laurent Series: Residue Integration.
 Chapter 17. Conformal Mapping.
 Chapter 18. Complex Analysis and Potential Theory. PART E: NUMERICAL ANALYSIS SOFTWARE.
 Chapter 19. Numerics in General.
 Chapter 20. Numerical Linear Algebra.
 Chapter 21. Numerics for ODE's and PDE's. PART F: OPTIMIZATION, GRAPHS.
 Chapter 22. Unconstrained Optimization: Linear Programming.
 Chapter 23. Graphs, Combinatorial Optimization. PART G: PROBABILITY STATISTICS.
 Chapter 24. Data Analysis: Probability Theory.
 Chapter 25. Mathematical Statistics.
 Appendix 1: References.
 Appendix 2: Answers to OddNumbered Problems.
 Appendix 3: Auxiliary Material.
 Appendix 4: Additional Proofs.
 Appendix 5: Tables. Index.
 (source: Nielsen Book Data)
 How to Use this Student Solutions Manual and Study Guide.PART A: ORDINARY DIFERENTIAL EQUATIONS (ODEs).
 Chapter 1. FirstOrder ODEs.
 Chapter 2. SecondOrder Linear ODEs.
 Chapter 3. Higher Order Linear ODEs.
 Chapter 4. Systems of ODEs. Phase Plane. Qualitative Methods.
 Chapter 5. Series Solutions of ODEs. Special Functions.
 Chapter 6. Laplace Transforms.PART B: LINEAR ALGEBRA, VECTOR CALCULUS.
 Chapter 7. Matrices, Vectors, Determinants. Linear Systems.
 Chapter 8. Linear Algebra: Matrix Eigenvalue Problems.
 Chapter 9. Vector Differential Calculus. Grad, Div, Curl.
 Chapter 10. Vector Integral Calculus. Integral Theorems.PART C: FOURIER ANALYSIS. PARTIAL DIFFERENTIAL EQUATIONS.
 Chapter 11. Fourier Series, Integrals, and Transforms.
 Chapter 12. Partial Differential Equations (PDEs).PART D: COMPLEX ANALYSIS.
 Chapter 13. Complex Numbers and Functions.
 Chapter 14. Complex Integration.
 Chapter 15. Power Series, Taylor Series.
 Chapter 16. Laurent Series. Residue Integration.
 Chapter 17. Conformal Mapping.
 Chapter 18. Complex Analysis and Potential theory.PART E: NUMERIC ANALYSIS.
 Chapter 19. Numerics in General.
 Chapter 20. Numeric Linear Algebra.
 Chapter 21. Numerics for ODEs and PDEs.PART F: OPTIMIZATION, GRAPHS.
 Chapter 22. Unconstrained Optimization. Linear Programming.
 Chapter 23. Graphs and Combinatorial Optimization.PART G: PROBABILITY, STATISTICS.
 Chapter 24. Data Analysis. Probability Theory.
 Chapter 25. Mathematical Statistics.Photo Credits P1.
 (source: Nielsen Book Data)
 Introduction, General Commands.PART A. ORDINARY DIFFERENTAIL EQUATIONS (ODEs).
 Chapter 1. FirstOrder ODEs.
 Chapter 2 and
 3. Linear ODEs of Second and Higher Order.
 Chapter 4. Systems of ODEs. Phase Plane, Qualitative Methods.
 Chapter 5. Series Solution of ODEs.
 Chapter 6. Laplace Transform Method for Solving ODEs.PART B. LINEAR ALGEBRA, VECTOR CALCULUS.
 Chapter 7. Matrices, Vectors, Determinants. Linear Systems of Equations.
 Chapter 8. Matrix Eigenvalue Problems.
 Chapter 9. Vector Differential Calculus Grad, Div, Curl.
 Chapter 10. Vector Integral Calculus. Integral Theorems.PART C. FOURIER ANALYSIS AND PARTIAL DIFFERENTIAL EQUATIONS (PDEs).
 Chapter 11. Fourier Series, Integrals, and Transforms.
 Chapter 12. Partial Differential Equations (PDEs).PART D. COMPLEX ANALYSIS.
 CHAPTER 13. AND
 17. Complex Numbers and Functions. Conformal Mapping.
 Chapter 14. Complex Integration.
 Chapter 15. Power Series, Taylor Series.
 Chapter 16. Laurent Series. Residue Integration.
 Chapter 17. See before.
 Chapter 18. Complex Analysis in Potential Theory.PART E. NUMERIC ANALYSIS.
 Chapter 19. Numerics in General.
 Chapter 20. Numeric Linear Algebra.
 Chapter 21. Numerics for ODEs and PDEs.PART F. OPTIMIZATION GRAPHS.
 Chapter 22. Unconstrained Optimization, Linear Programming.
 Chapter 23. No examples, no problems.PART G. PROBABILITY AND STATISTICS.
 Chapter 24. Data Analysis. Probability Theory.
 Chapter 25. Mathematical Statistics.
 Appendix 1. References.
 Appendix 2. Answers to OddNumbered Problems.Index.
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(source: Nielsen Book Data) 9780471728979 20160528
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QA401 .K7 2006  Unknown 
QA401 .K7 2006  Unknown 
 Srinivasa Rao, K., 1942
 2nd ed.  New Delhi : Hindustan Book Agency, c2006.
 Description
 Book — xiii, 593 p. : ill. ; 23 cm.
 Summary

 Preface
 1 Elements of Group Theory
 2 Some Related Algebraic Structures
 3 Linear Vector Space
 4 Elements of Representation Theory
 5 Representations of Finite Groups
 6 Representations of Linear Associative Algebras
 7 Representations of the Symmetric Group
 8 The Rotation Group and its Representations
 9 The Crystallographic Point Groups
 10 The Lorentz Group and its Representations
 11 Introduction to the Classification of Lie Groups  Dynkin Diagram Index.
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(source: Nielsen Book Data) 9788185931647 20160528
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QC20.7 .G76 L55 2006  Unknown 