This helpful workbook-style "bridge" book introduces students to the foundations of advanced mathematics, spanning the gap between a practically oriented calculus sequence and subsequent courses in algebra and analysis with a more theoretical slant. Part 1 focuses on logic and number systems, pro... read more
Customers who bought this book also bought:
Our Editors also recommend:
Concepts of Modern Mathematics by Ian Stewart In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts of groups, sets, subsets, topology, Boolean algebra, and other mathematical subjects. 200 illustrations.
The Art of Mathematics by Jerry P. King Clear, concise, and superbly written, this book reveals the beauty at the heart of mathematics, illustrating the fundamental connection between aesthetics and mathematics. "Witty, trenchant, and provocative." — Mathematical Association of America.
Discovering Mathematics: The Art of Investigation by A. Gardiner With puzzles involving coins, postage stamps, and other commonplace items, readers are challenged to explain perplexing mathematical phenomena. Simple methods are employed to capture the essentials of mathematical discovery. Solutions.
Methods of Mathematics Applied to Calculus, Probability, and Statistics by Richard W. Hamming This 4-part treatment begins with algebra and analytic geometry and proceeds to an exploration of the calculus of algebraic functions and transcendental functions and applications. 1985 edition. Includes 310 figures and 18 tables.
How to Solve Applied Mathematics Problems by B. L. Moiseiwitsch This workbook bridges the gap between lectures and practical applications, offering students of mathematics, engineering, and physics the chance to practice solving problems from a wide variety of fields. 2011 edition.
Makers of Mathematics by Stuart Hollingdale Each chapter of this accessible portrait of the evolution of mathematics examines the work of an individual — Archimedes, Descartes, Newton, Einstein, others — to explore the mathematics of his era. 1989 edition.
Mathematics for the Physical Sciences by Herbert S Wilf Topics include vector spaces and matrices; orthogonal functions; polynomial equations; asymptotic expansions; ordinary differential equations; conformal mapping; and extremum problems. Includes exercises and solutions. 1962 edition.
Mathematics: The Man-Made Universe by Sherman K. Stein Highly readable volume covers number theory, topology, set theory, geometry, algebra, and analysis, plus the primes, fundamental theory of arithmetic, probability, and more. Solutions manual available upon request. 1994 edition.
Methods of Applied Mathematics by Francis B. Hildebrand Offering a number of mathematical facts and techniques not commonly treated in courses in advanced calculus, this book explores linear algebraic equations, quadratic and Hermitian forms, the calculus of variations, more.
Advanced Mathematics for Engineers and Scientists by Paul DuChateau This primary text and supplemental reference focuses on linear algebra, calculus, and ordinary differential equations. Additional topics include partial differential equations and approximation methods. Includes solved problems. 1992 edition.
A Concise History of Mathematics: Fourth Revised Edition by Dirk J. Struik Compact, well-written survey ranges from the ancient Near East to 20th-century computer theory, covering Archimedes, Pascal, Gauss, Hilbert, and many others. "A work which is unquestionably one of the best." — Nature.
Mathematics for Physicists by Philippe Dennery, André Krzywicki Superb text provides math needed to understand today's more advanced topics in physics and engineering. Theory of functions of a complex variable, linear vector spaces, much more. Problems. 1967 edition.
The Skeleton Key of Mathematics: A Simple Account of Complex Algebraic Theories by D. E. Littlewood Straightforward explanation of abstract principles common to science and math, including Euclid's algorithm; congruences; polynomials; complex numbers and algebraic fields; algebraic integers, ideals, and p-adic numbers; groups; Galois theory; algebraic geometry; more.
Elements of Pure and Applied Mathematics by Harry Lass This completely self-contained survey explores important topics in pure and applied mathematics. Each chapter can be read independently, and all are unified by cross-references to the complete work. 1957 edition.
The Stanford Mathematics Problem Book: With Hints and Solutions by G. Polya, J. Kilpatrick Based on Stanford University's well-known competitive exam, this excellent mathematics workbook offers students at both high school and college levels a complete set of problems, hints, and solutions. 1974 edition.
The World of Mathematics, Vol. 1 by James R. Newman Vol. 1 of a monumental 4-volume set includes a general survey of mathematics; historical and biographical information on prominent mathematicians throughout history; material on arithmetic, numbers and the art of counting, more.
The World of Mathematics, Vol. 2 by James R. Newman Vol. 2 of a monumental 4-volume set covers mathematics and the physical world, mathematics and social science, and the laws of chance, with non-technical essays by eminent mathematicians, economists, scientists, and others.
The World of Mathematics, Vol. 3 by James R. Newman Vol. 3 of a monumental 4-volume set covers such topics as statistics and the design of experiments, group theory, the mathematics of infinity, the unreasonableness of mathematics, the vocabulary of mathematics, and more.
The World of Mathematics, Vol. 4 by James R. Newman Vol. 4 of a monumental 4-volume set covers such topics as mathematical machines, mathematics in warfare, a mathematical theory of art, mathematics of the good, mathematics in literature, mathematics and music, and amusements.
Product Description:
This helpful workbook-style "bridge" book introduces students to the foundations of advanced mathematics, spanning the gap between a practically oriented calculus sequence and subsequent courses in algebra and analysis with a more theoretical slant. Part 1 focuses on logic and number systems, providing the most basic tools, examples, and motivation for the manner, method, and concerns of higher mathematics. Part 2 covers sets, relations, functions, infinite sets, and mathematical proofs and reasoning. Author Dennis Sentilles also discusses the history and development of mathematics as well as the reasons behind axiom systems and their uses. He assumes no prior knowledge of proofs or logic, and he takes an intuitive approach that builds into a formal development. Advanced undergraduate students of mathematics and engineering will find this volume an excellent source of instruction, reinforcement, and review.
Reprint of the The Williams & Wilkins Company, Baltimore, 1975 edition.
This book was printed in the United States of America.
Dover books are made to last a lifetime. Our US book-manufacturing partners produce the highest quality books in the world and they create jobs for our fellow citizens. Manufacturing in the United States also ensures that our books are printed in an environmentally friendly fashion, on paper sourced from responsibly managed forests.
