Mathematics in the Real World by W.D. Wallis

Mathematics in the Real World  is a self-contained, accessible introduction to the world of mathematics for non-technical majors. With a focus on everyday applications and context, the topics in this textbook build in difficulty and are presented sequentially, starting with a brief review of sets and numbers followed by an introduction to elementary statistics, models, and graph theory. Data and identification numbers are then covered, providing the pathway to voting and finance. Each subject is covered in a concise and clear fashion through the use of real-world applications and the introduction of relevant terminology. Many sample problems – both writing exercises and multiple-choice questions – are included to help develop students’ level of understanding and to offer a variety of options to instructors.

Covering six major units and outlining a one-semester course, Mathematics in the Real World  is aimed at undergraduate liberal art students fulfilling the mathematics requirement in their degree program. This introductory text will be an excellent resource for such courses, and will show students where mathematics arises in their everyday lives.

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Relativity, Gravitation and Cosmology by Robert J. A. Lambourne

Aimed at advanced undergraduates, this self-contained textbook covers the key ideas of special and general relativity together with their applications. The textbook introduces students to basic geometric concepts, such as metrics, connections and curvature, before examining general relativity in more detail. It shows the observational evidence supporting the theory, and the description general relativity provides of black holes and cosmological space-times. The textbook is in full colour, with numerous worked examples and exercises with solutions. Key points and equations are highlighted for easy identification, and each chapter ends with a summary list of important concepts and results. This textbook provides the essential background for an up-to-date discussion of modern observational cosmology. Each chapter builds on the previous one as concepts are developed, making it ideal for self-study

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Mathematica for Theoretical Physics: Electrodynamics, Quantum Mechanics, General Relativity, and Fractals 2nd (second) Edition by Baumann

Class-tested textbook that shows readers how to solve physical problems and deal with their underlying theoretical concepts while using Mathematica to derive numeric and symbolic solutions.

Delivers dozens of fully interactive examples for learning and implementation, constants and formulae can readily be altered and adapted for the users purposes.

New edition offers enlarged two-volume format suitable to courses in mechanics and electrodynamics, while offering dozens of new examples and a more rewarding interactive learning environment.

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How to Study as a Mathematics Major 2013 by Lara Alcock

Every year, thousands of students declare mathematics as their major. Many are extremely intelligent and hardworking. However, even the best will encounter challenges, because upper-level mathematics involves not only independent study and learning from lectures, but also a fundamental shift from calculation to proof. 
This shift is demanding but it need not be mysterious -- research has revealed many insights into the mathematical thinking required, and this book translates these into practical advice for a student audience. It covers every aspect of studying as a mathematics major, from tackling abstract intellectual challenges to interacting with professors and making good use of study time. Part 1 discusses the nature of upper-level mathematics, and explains how students can adapt and extend their existing skills in order to develop good understanding. Part 2 covers study skills as these relate to mathematics, and suggests practical approaches to learning effectively while enjoying undergraduate life.
As the first mathematics-specific study guide, this friendly, practical text is essential reading for any mathematics major.

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Exact Space-Times in Einstein's General Relativity by Jerry B. Griffiths, Jiří Podolský

Einstein's theory of general relativity is a theory of gravity and, as in the earlier Newtonian theory, much can be learned about the character of gravitation and its effects by investigating particular idealized examples. This book describes the basic solutions of Einstein's equations with a particular emphasis on what they mean, both geometrically and physically. New concepts, such as big bang and big crunch-types of singularities, different kinds of horizons and gravitational waves, are described in the context of the particular space-times in which they naturally arise. These notions are initially introduced using the most simple and symmetric cases. Various important coordinate forms of each solution are presented, thus enabling the global structure of the corresponding space-time and its other properties to be analyzed. The book is an invaluable resource both for graduate students and academic researchers working in gravitational physics.

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Quantum Electrodynamics by Walter Greiner, Joachim Reinhardt

Quantum Electrodynamics Here is a thorough introductory text, presented in its fourth edition, providing all the necessary mathematical tools, together with examples and worked problems. In their presentation the authors adopt a heuristic approach based on propagator formalism.

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An Introduction to Mathematical Cosmology by J. N. Islam

This book provides a concise introduction to the mathematical aspects of the origin, structure and evolution of the universe. The book begins with a brief overview of observational and theoretical cosmology, along with a short introduction of general relativity. It then goes on to discuss Friedmann models, the Hubble constant and deceleration parameter, singularities, the early universe, inflation, quantum cosmology and the distant future of the universe. This new edition contains a rigorous derivation of the Robertson-Walker metric. It also discusses the limits to the parameter space through various theoretical and observational constraints, and presents a new inflationary solution for a sixth degree potential. This book is suitable as a textbook for advanced undergraduates and beginning graduate students. It will also be of interest to cosmologists, astrophysicists, applied mathematicians and mathematical physicists.

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Elementary Particle Physics: Quantum Field Theory and Particles V1 by Yorikiyo Nagashima, Yoichiro Nambu

Meeting the need for a coherently written and comprehensive compendium combining field theory and particle physics for advanced students and researchers, this book directly links the theory to the experiments. It is clearly divided into two sections covering approaches to field theory and the standard model, and rounded off with numerous useful appendices.
A timely volume for high energy and theoretical physicists, as well as astronomers, graduate students and lecturers in physics.
Volume 2 concentrates on the main aspects of the Standard Model by addressing its recent developments and future prospects. Furthermore, it gives some thought to intriguing ideas beyond the Standard Model, including the Higgs boson, the neutrino, the concepts of the Grand Unified Theory and supersymmetry, axions, and cosmological developments.

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An Illustrated Guide to Relativity by Tatsu Takeuchi

Aimed at both physics students and non-science majors, this unique book explains Einstein's special theory of relativity pictorially, using diagrams rather than equations. The diagrams guide the reader, step-by-step, from the basics of relativity to advanced topics including the addition of velocities, Lorentz contraction, time dilation, the twin paradox, Doppler shift, and Einstein's famous equation E=mc². The distinctive figures throughout the book enable the reader to visualize the theory in a way that cannot be fully conveyed through equations alone. The illustrative explanations in this book maintain the logic and rigour necessary for physics students, yet are simple enough to be understood by non-scientists. The book also contains entertaining problems which challenge the reader's understanding of the materials covered.

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Quantum Mechanics - J. J. Sakurai - Modern quantum mechanics and solutions for the exercices

This best-selling classic sets the standard for the quantum mechanics physics market. It provides a graduate-level, non-historical, modern introduction of quantum mechanical concepts for first year graduate students. The author was a noted theorist in particle theory, and was well renowned in his area of expertise. This revised edition retains the original material, but adds topics that extend its usefulness into the 21st century. Students will still find such classic developments as neutron interferometer experiments, Feyman path integrals, correlation measurements, and Bell's inequality. Updated material includes time independent perturbation theory for The Degenerate Case which can be found in 5. New supplementary material is at the end of the text.

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