By problem solvers I particularly refer to books usually consisting of courses , notes and exercises or problems with solutions and hints about a certain scientific or mathematical subject . These books help students and learners ( whether preparing for exams and degrees or for self-study) better understand the subject by study , practice and problem solving .
One of the most helpful series of books and problem solvers I’ve used is the Schaum’s outlines series.For each book and every chapter I used to read and understand the course notes , understand ,solve and work out again the solved problems , and solve (if not all at least) three to five of the supplementary problems (which could be with or without answers).
Books I’ve read and worked out in the Schaum series:
** Schaum’s Outline of Tensor Calculus ( by David Kay).
** Schaum’s Outline of Theory and Problems of Complex Variables ( by Murray R. Spiegel ).
** Schaum’s Outline of Theory and Problems of Fourier Analysis (by Murray R. Spiegel ).
** Schaum’s Outline of Digital Principles , 3rd Edition ( by Roger L. Tokheim).
** Schaum’s Outline of Theory and Problems of Probability and Statistics ( by Murray R. Spiegel ).
** Schaum’s Outline of Theoretical Mechanics ( by Murray R Spiegel) .
** Schaum’s Outline of Differential Equations ( by Richard Bronson).
** Schaum’s Outline of Linear Algebra , Third Edition ( by Seymour Lipshutz) .
** Schaum’s Outline of Differential Geometry ( by Martin Lipshutz ). I studied and worked out the first half of the book.
** Schaum’s Outline of General Topology ( by Seymour Lipshutz). I worked out the first half of the book.
** Schaum’s Outline of Calculus of Finite Differences and Difference Equations ( by Murray R. Spiegel). I worked out the first half of the book.
** Schaum’s Outline of Modern Physics ( by Ronald Guthreau). I worked out more than half of this book.
Additional books I have read and used include:
** Course of Theoretical Physics , Volume One: Mechanics ( by L.D. Landau & E.M. Lifshitz).
** Quantum Mechanics – An Introduction ( by Walter Greiner ). I worked out about half of the book.
** Thermodynamics: An Advanced Treatment for Chemists and Physicists ( by E.A. Guggenheim) . This book could be considered as an advanced textbook and a problem solver.I worked out more than half of it.
** Schaum’s Outline of Mathematical Handbook of Formulas and Tables , Third edition (by M. Spiegel , S. Lipschutz and J. Liu). This is a good and useful reference work.
Sometimes I worked out a few chapters of certain books (often the first four chapters or a third of the book) and then I moved on to other books , because I had studied the same subjects in other books , in any case keeping the possibility of coming back and finishing these books whenever I have time.
Books I’ve worked out partially include :
** Schaum’s Outline of Thermodynamics ( by Michael Abbott & Hendrick Van Ness)
** Schaum’s outline of Continuum Mechanics ( by George E. Mase).
** Schaum’s Outline of Human Anatomy and Physiology ( by Kent Van De Graaff & R. Ward Rhees).
** Schaum’s outline of partial differential equations ( by Paul DuChateau & D.W. Zachman ).
** Schaum’s outline of Computer Graphics ( by Roy Plastock & Gordon Kalley) .
** Schaum’s outline of Mathematica , 2nd Edition ( by Eugene Don) .
** Schaum’s Outline of Physical Chemistry ( by Clyde R. Metz ) .
** Schaum’s Outline of Fluid Dynamics , 2nd Edition ( by William F. Hughes) .
** Introductory Nuclear Physics ( by Kenneth S. Krane ) .
** A Course in Group Theory ( by John F. Humphreys) .
** Analytic Geometry (Harcourt Brace Jovanovich College Outline Series) ( by Peter Selby) .
I have studied and worked with computational math software and computer algebra systems such as Mathematica , Maple , MathCad and MatLab . I mostly use Mathematica and Maple , which can be very helpful problem solvers . Astronomy software I have used include Redshift , Starry Night and Stellarium.
I have also used the Texas Instruments TI 92 Plus Calculator.
Books I’ve used about Mathematica :
** Mathematica by Example , Revised edition ( by James P. Braselton and Martha L Abell ) .
** Mathematica for Physics ( by Robert L. Zimmerman & Fredrick Olness) . I worked out half of this book.
** A Physicist’s Guide to Mathematica ( by Patrick T. Tam) . Worked out parts of this book.
French books and problem solvers I’ve read and used:
** Les phénomènes quantiques: approche élémentaire et applications ( by Elie Belorizky ).
** L’électronique (que sais–je? , by Régis David).
** L’aerodynamique (que sais–je? , by Jacques Lachnitt).
** La physique nucléaire (que sais–je? , by Daniel Blanc).
** L’Univers ( que sais–je? , by Paul Couderc ) .
** La Physique Mathématique (Que sais–je? , by Jean Louis Destouches).
** La Thermodynamique (Que sais–je? , by Charles Bory).
— These are some of the books I ‘ve read in the ‘Que sais–je?’ series . They can be considered as scientific short courses with applications. I have also published a post related to this book series.
** Introduction à Mathematica (by Jean-Christophe Culioli).
** La méthode expérimentale en mathématiques . Expérimentation à l’aide de Mathematica, Maple et de la TI92-89 ( by Henri Lemberg & François Guénard ) . I worked out half of the book.