Descripción de contraportada
A hands-on introduction to the tools needed for rigorous and theoretical mathematical reasoning
Successfully addressing the frustration many students experience as they make the transition from computational mathematics to advanced calculus and algebraic structures, Theorems, Corollaries, Lemmas, and Methods of Proof equips students with the tools needed to succeed while providing a firm foundation in the axiomatic structure of modern mathematics.
This essential book:
- Clearly explains the relationship between definitions, conjectures, theorems, corollaries, lemmas, and proofs
- Reinforces the foundations of calculus and algebra
- Explores how to use both a direct and indirect proof to prove a theorem
- Presents the basic properties of real numbers
- Discusses how to use mathematical induction to prove a theorem
- Identifies the different types of theorems
- Explains how to write a clear and understandable proof
- Covers the basic structure of modern mathematics and the key components of modern mathematics
A complete chapter is dedicated to the different methods of proof such as forward direct proofs, proof by contrapositive, proof by contradiction, mathematical induction, and existence proofs. In addition, the author has supplied many clear and detailed algorithms that outline these proofs.
Theorems, Corollaries, Lemmas, and Methods of Proof uniquely introduces scratch work as an indispensable part of the proof process, encouraging students to use scratch work and creative thinking as the first steps in their attempt to prove a theorem. Once their scratch work successfully demonstrates the truth of the theorem, the proof can be written in a clear and concise fashion. The basic structure of modern mathematics is discussed, and each of the key components of modern mathematics is defined. Numerous exercises are included in each chapter, covering a wide range of topics with varied levels of difficulty.
Intended as a main text for mathematics courses such as Methods of Proof, Transitions to Advanced Mathematics, and Foundations of Mathematics, the book may also be used as a supplementary textbook in junior- and senior-level courses on advanced calculus, real analysis, and modern algebra.
Detalles
- Título Theorems, Corollaries
- Autor Rossi
- Encuadernación Tapa dura
- Número de edición 1st
- Edición 1
- Páginas 336
- Volúmenes 1
- Idioma ENG
- Editorial John Wiley & Sons
- Fecha de publicación 2006-07-01
- Ilustrado Sí
- Features Bibliography, Illustrated, Index, Table of Contents
- ISBN 9780470042953 / 0470042958
- Peso 1.27 libras (0.58 kg)
- Dimensiones 9.56 x 6.14 x 0.8 pulgadas (24.28 x 15.60 x 2.03 cm)
- Library of Congress subjects Logic, Symbolic and mathematical, Proof theory
- Número de catálogo de la Librería del Congreso de EEUU 2006041609
- Dewey Decimal Code 511.36
Más ejemplares
Theorems, Corollaries, Lemmas, and Methods of Proof
de Rossi, Richard J
- Usado
- Tapa dura
- First
- Estado
- Used - Good
- Edición
- 1
- Encuadernación
- Hardcover
- ISBN 10 / ISBN 13
- 9780470042953 / 0470042958
- Cantidad disponible
- 1
- Librería
-
Salt Lake City, Utah, United States
- Precio
-
EUR 68.79EUR 3.78 enviando a USA
Mostrar detalles
Theorems, Corollaries, Lemmas, and Methods of Proof
de Rossi, Richard J
- Usado
- Estado
- Used - Good
- ISBN 10 / ISBN 13
- 9780470042953 / 0470042958
- Cantidad disponible
- 1
- Librería
-
Mishawaka, Indiana, United States
- Precio
-
EUR 71.63Envío gratuito a USA
Mostrar detalles
Theorems, Corollaries, Lemmas, and Methods of Proof
de Rossi, Richard J
- Usado
- Bien
- Tapa dura
- Estado
- Usado - Bien
- Encuadernación
- Hardcover
- ISBN 10 / ISBN 13
- 9780470042953 / 0470042958
- Cantidad disponible
- 1
- Librería
-
Newport Coast, California, United States
- Precio
-
EUR 114.09Envío gratuito a USA
Mostrar detalles
Theorems, Corollaries, Lemmas, And Methods of Proof Rossi, Richard J.
- Usado
- Tapa dura
- Estado
- Usado
- Encuadernación
- Hardcover
- ISBN 10 / ISBN 13
- 9780470042953 / 0470042958
- Cantidad disponible
- 1
- Librería
-
Maritime Quarter, Swansea, United Kingdom
- Precio
-
EUR 149.10EUR 55.05 enviando a USA
Mostrar detalles
Theorems, Corollaries, Lemmas, and Methods of Proof
de Richard J. Rossi
- Nuevo
- Tapa dura
- Estado
- Nuevo
- Encuadernación
- Hardcover
- ISBN 10 / ISBN 13
- 9780470042953 / 0470042958
- Cantidad disponible
- 1
- Librería
-
Southport, Merseyside, United Kingdom
- Precio
-
EUR 156.33EUR 11.92 enviando a USA
Mostrar detalles
Theorems, Corollaries, Lemmas, and Methods of Proof (Pure and Applied Mathematics: A Wiley-Interscience Series of Texts, Monographs and Tracts)
de Richard J. Rossi
- Nuevo
- Tapa dura
- Estado
- Nuevo
- Encuadernación
- Hardcover
- ISBN 10 / ISBN 13
- 9780470042953 / 0470042958
- Cantidad disponible
- 2
- Librería
-
Exeter, Devon, United Kingdom
- Precio
-
EUR 163.54EUR 11.98 enviando a USA
Mostrar detalles
Theorems, Corollaries, Lemmas, and Methods of Proof
de Rossi, Richard J
- Nuevo
- Tapa dura
- Estado
- Nuevo
- Encuadernación
- Hardcover
- ISBN 10 / ISBN 13
- 9780470042953 / 0470042958
- Cantidad disponible
- 1
- Librería
-
San Diego, California, United States
- Precio
-
EUR 154.09EUR 5.16 enviando a USA
Mostrar detalles
Theorems, Corollaries, Lemmas, and Methods of Proof
de Richard J. Rossi
- Nuevo
- Tapa dura
- Estado
- Nuevo
- Encuadernación
- Hardcover
- ISBN 10 / ISBN 13
- 9780470042953 / 0470042958
- Cantidad disponible
- 3
- Librería
-
Woodside, New York, United States
- Precio
-
EUR 158.55EUR 3.78 enviando a USA