Mathematica for Calculus-based Physics

Mathematica for Calculus-based Physics PDF Author: Marvin L. De Jong
Publisher: Addison-Wesley Longman
ISBN:
Category : Calculus
Languages : en
Pages : 276

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Book Description
This workbook/laboratory manual, designed for the first- or second-year physics student, integrates a computer algebra system, Mathematica, with calculus-based physics. Students learn physics, mathematics, and Mathematica by applying the system to numerous physics problems drawn from a broad range of topics in introductory calculus-based physics. Mathematica's extensive use of graphs helps students visualize solutions as well as find analytical solutions to the problems, which often are skills needed in physics research.

Multivariable Calculus and Mathematica®

Multivariable Calculus and Mathematica® PDF Author: Kevin R. Coombes
Publisher: Springer Science & Business Media
ISBN: 1461216982
Category : Mathematics
Languages : en
Pages : 282

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Book Description
Aiming to "modernise" the course through the integration of Mathematica, this publication introduces students to its multivariable uses, instructs them on its use as a tool in simplifying calculations, and presents introductions to geometry, mathematical physics, and kinematics. The authors make it clear that Mathematica is not algorithms, but at the same time, they clearly see the ways in which Mathematica can make things cleaner, clearer and simpler. The sets of problems give students an opportunity to practice their newly learned skills, covering simple calculations, simple plots, a review of one-variable calculus using Mathematica for symbolic differentiation, integration and numerical integration, and also cover the practice of incorporating text and headings into a Mathematica notebook. The accompanying diskette contains both Mathematica 2.2 and 3.0 version notebooks, as well as sample examination problems for students, which can be used with any standard multivariable calculus textbook. It is assumed that students will also have access to an introductory primer for Mathematica.

Advanced Calculus Explored

Advanced Calculus Explored PDF Author:
Publisher:
ISBN: 9780578616827
Category :
Languages : en
Pages :

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Book Description


Introduction to Mathematica® for Physicists

Introduction to Mathematica® for Physicists PDF Author: Andrey Grozin
Publisher: Springer Science & Business Media
ISBN: 3319008943
Category : Science
Languages : en
Pages : 215

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Book Description
The basics of computer algebra and the language of Mathematica are described in this textbook, leading towards an understanding of Mathematica that allows the reader to solve problems in physics, mathematics, and chemistry. Mathematica is the most widely used system for doing mathematical calculations by computer, including symbolic and numeric calculations and graphics. It is used in physics and other branches of science, in mathematics, education and many other areas.

Using Mathematica for Quantum Mechanics

Using Mathematica for Quantum Mechanics PDF Author: Roman Schmied
Publisher: Springer Nature
ISBN: 9811375887
Category : Science
Languages : en
Pages : 202

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Book Description
This book revisits many of the problems encountered in introductory quantum mechanics, focusing on computer implementations for finding and visualizing analytical and numerical solutions. It subsequently uses these implementations as building blocks to solve more complex problems, such as coherent laser-driven dynamics in the Rubidium hyperfine structure or the Rashba interaction of an electron moving in 2D. The simulations are highlighted using the programming language Mathematica. No prior knowledge of Mathematica is needed; alternatives, such as Matlab, Python, or Maple, can also be used.

Classical Mechanics with Mathematica®

Classical Mechanics with Mathematica® PDF Author: Antonio Romano
Publisher: Springer
ISBN: 3319775952
Category : Science
Languages : en
Pages : 644

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Book Description
This textbook takes a broad yet thorough approach to mechanics, aimed at bridging the gap between classical analytic and modern differential geometric approaches to the subject. Developed by the authors from over 30 years of teaching experience, the presentation is designed to give students an overview of the many different models used through the history of the field—from Newton to Hamilton—while also painting a clear picture of the most modern developments. The text is organized into two parts. The first focuses on developing the mathematical framework of linear algebra and differential geometry necessary for the remainder of the book. Topics covered include tensor algebra, Euclidean and symplectic vector spaces, differential manifolds, and absolute differential calculus. The second part of the book applies these topics to kinematics, rigid body dynamics, Lagrangian and Hamiltonian dynamics, Hamilton–Jacobi theory, completely integrable systems, statistical mechanics of equilibrium, and impulsive dynamics, among others. This new edition has been completely revised and updated and now includes almost 200 exercises, as well as new chapters on celestial mechanics, one-dimensional continuous systems, and variational calculus with applications. Several Mathematica® notebooks are available to download that will further aid students in their understanding of some of the more difficult material. Unique in its scope of coverage and method of approach, Classical Mechanics with Mathematica® will be useful resource for graduate students and advanced undergraduates in applied mathematics and physics who hope to gain a deeper understanding of mechanics.

Essentials of Mathematica

Essentials of Mathematica PDF Author: Nino Boccara
Publisher: Springer Science & Business Media
ISBN: 0387495142
Category : Science
Languages : en
Pages : 550

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Book Description
This book teaches how to use Mathematica to solve a wide variety of problems in mathematics and physics. It is based on the lecture notes of a course taught at the University of Illinois at Chicago to advanced undergrad and graduate students. The book is illustrated with many detailed examples that require the student to construct meticulous, step-by-step, easy to read Mathematica programs. The first part, in which the reader learns how to use a variety of Mathematica commands, contains examples, not long explanations; the second part contains attractive applications.

The Theoretical Minimum

The Theoretical Minimum PDF Author: Leonard Susskind
Publisher: Basic Books
ISBN: 0465038921
Category : Education
Languages : en
Pages : 165

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Book Description
A master teacher presents the ultimate introduction to classical mechanics for people who are serious about learning physics "Beautifully clear explanations of famously 'difficult' things," -- Wall Street Journal If you ever regretted not taking physics in college -- or simply want to know how to think like a physicist -- this is the book for you. In this bestselling introduction to classical mechanics, physicist Leonard Susskind and hacker-scientist George Hrabovsky offer a first course in physics and associated math for the ardent amateur. Challenging, lucid, and concise, The Theoretical Minimum provides a tool kit for amateur scientists to learn physics at their own pace.

Multivariable Calculus with Mathematica

Multivariable Calculus with Mathematica PDF Author: Robert P. Gilbert
Publisher: CRC Press
ISBN: 1351665464
Category : Mathematics
Languages : en
Pages : 431

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Book Description
Multivariable Calculus with Mathematica is a textbook addressing the calculus of several variables. Instead of just using Mathematica to directly solve problems, the students are encouraged to learn the syntax and to write their own code to solve problems. This not only encourages scientific computing skills but at the same time stresses the complete understanding of the mathematics. Questions are provided at the end of the chapters to test the student’s theoretical understanding of the mathematics, and there are also computer algebra questions which test the student’s ability to apply their knowledge in non-trivial ways. Features Ensures that students are not just using the package to directly solve problems, but learning the syntax to write their own code to solve problems Suitable as a main textbook for a Calculus III course, and as a supplementary text for topics scientific computing, engineering, and mathematical physics Written in a style that engages the students’ interest and encourages the understanding of the mathematical ideas

Symmetry Theory in Molecular Physics with Mathematica

Symmetry Theory in Molecular Physics with Mathematica PDF Author: William McClain
Publisher: Springer Science & Business Media
ISBN: 0387734708
Category : Science
Languages : en
Pages : 672

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Book Description
Prof. McClain has, quite simply, produced a new kind of tutorial book. It is written using the logic engine Mathematica, which permits concrete exploration and development of every concept involved in Symmetry Theory. It is aimed at students of chemistry and molecular physics who need to know mathematical group theory and its applications, either for their own research or for understanding the language and concepts of their field. The book begins with the most elementary symmetry concepts, then presents mathematical group theory, and finally the projection operators that flow from the Great Orthogonality are automated and applied to chemical and spectroscopic problems.